مواضيع المحاضرة: الباب الأول : أهمية وأهداف وطرق قياس الميزانية الباب الثانى : الطريقة المباشرة لقياس المناسيب الفصل الأول :الأدوات والأجهزة المستخدمة فى أعمال الميزانية الفصل الثانى :الترآيب الداخلى والخارجى للميزان الفصل الثالث :النظرية الأساسية لأعمال الميزاني
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      اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ

      اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ

Engineering Leveling

Engineering Leveling

أ

أ

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 .

د

د

  /

  /

 ﺳﻌﻴﺪ اﻟﻤﻐﺮﺑﻰ

 ﺳﻌﻴﺪ اﻟﻤﻐﺮﺑﻰ

   ﻗﺴﻢ ﻣﺪﻧﻰ

   ﻗﺴﻢ ﻣﺪﻧﻰ

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-

  هﻨﺪﺳﺔ اﻷزهﺮ

  هﻨﺪﺳﺔ اﻷزهﺮ

           ﺳﻠﺴﻠﺔ اﻟﻤﺤﺎﺿﺮات اﻹﻟﻴﻜﺘﺮوﻧﻴﺔ ﻓﻰ ﻋﻠﻢ اﻟﻤﺴﺎﺣﺔ

           ﺳﻠﺴﻠﺔ اﻟﻤﺤﺎﺿﺮات اﻹﻟﻴﻜﺘﺮوﻧﻴﺔ ﻓﻰ ﻋﻠﻢ اﻟﻤﺴﺎﺣﺔ

 

Learning courses

Learning courses


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٢

٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

  اﻟﻤﺤﺘﻮﻳﺎت

  اﻟﻤﺤﺘﻮﻳﺎت

                  اﻟﺒﺎب اﻷول

                  اﻟﺒﺎب اﻷول

:

:

          أهﻤﻴﺔ وأهﺪاف وﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ

          أهﻤﻴﺔ وأهﺪاف وﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ

                اﻟﺒﺎب اﻟﺜﺎﻧﻰ

                اﻟﺒﺎب اﻟﺜﺎﻧﻰ

:

:

   اﻟﻄﺮﻳﻘﺔ اﻟﻤﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

   اﻟﻄﺮﻳﻘﺔ اﻟﻤﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

                 اﻟﻔﺼﻞ اﻷول

                 اﻟﻔﺼﻞ اﻷول

:

:

               اﻷدوات واﻷﺟﻬﺰة اﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

               اﻷدوات واﻷﺟﻬﺰة اﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

               اﻟﻔﺼﻞ اﻟﺜﺎﻧﻰ

               اﻟﻔﺼﻞ اﻟﺜﺎﻧﻰ

:

:

       اﻟﺘﺮآﻴﺐ اﻟﺪاﺧﻠﻰ واﻟﺨﺎرﺟﻰ ﻟﻠﻤﻴﺰان

       اﻟﺘﺮآﻴﺐ اﻟﺪاﺧﻠﻰ واﻟﺨﺎرﺟﻰ ﻟﻠﻤﻴﺰان

               اﻟﻔﺼﻞ اﻟﺜﺎﻟﺚ

               اﻟﻔﺼﻞ اﻟﺜﺎﻟﺚ

:

:

     اﻟﻨﻈﺮﻳﺔ اﻷﺳﺎﺳﻴﺔ ﻷﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

     اﻟﻨﻈﺮﻳﺔ اﻷﺳﺎﺳﻴﺔ ﻷﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

               اﻟﻔﺼﻞ اﻟﺮاﺑﻊ

               اﻟﻔﺼﻞ اﻟﺮاﺑﻊ

 :

 :

    اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ

    اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ

)

)

     اﻟﺘﺜﺒﻴﺖ واﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ واﻟﺮﺻﺪ

     اﻟﺘﺜﺒﻴﺖ واﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ واﻟﺮﺻﺪ

(

(

              اﻟﻔﺼﻞ اﻟﺨﺎﻣﺲ

              اﻟﻔﺼﻞ اﻟﺨﺎﻣﺲ

   :

   :

         ﻃﺮق ﺗﺪوﻳﻦ وﺣﺴﺎب أرﺻﺎد اﻟﻤﻴﺰاﻧﻴﺔ

         ﻃﺮق ﺗﺪوﻳﻦ وﺣﺴﺎب أرﺻﺎد اﻟﻤﻴﺰاﻧﻴﺔ

             اﻟﻔﺼﻞ اﻟﺴﺎدس

             اﻟﻔﺼﻞ اﻟﺴﺎدس

 :

 :

     أﻋﻤﺎل اﻟﻤﻌﺎﻳﺮة واﻟﻀﺒﻂ اﻟﺪاﺋﻢ ﻟﻠﻤﻴﺰان

     أﻋﻤﺎل اﻟﻤﻌﺎﻳﺮة واﻟﻀﺒﻂ اﻟﺪاﺋﻢ ﻟﻠﻤﻴﺰان

                 اﻟﻔﺼﻞ اﻟﺴﺎﺑﻊ

                 اﻟﻔﺼﻞ اﻟﺴﺎﺑﻊ

 :

 :

     اﺣﺘﻴﺎﻃﺎت ﺗﻨﻔﻴﺬ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

     اﺣﺘﻴﺎﻃﺎت ﺗﻨﻔﻴﺬ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

              اﻟﺒﺎب اﻟﺜﺎﻟﺚ

              اﻟﺒﺎب اﻟﺜﺎﻟﺚ

:

:

    اﻟﻄﺮق اﻟﻐﻴﺮ ﻣﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

    اﻟﻄﺮق اﻟﻐﻴﺮ ﻣﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

              اﻟﺒﺎب اﻟﺮاﺑﻊ

              اﻟﺒﺎب اﻟﺮاﺑﻊ

:

:

                 ﻓﻜﺮة ﻋﺎﻣﺔ ﻋﻦ أدوات اﻟﻤﻮازﻳﻦ اﻟﺒﺴﻴﻄﺔ ﻓﻰ أﻋﻤﺎل اﻟﻬﻨﺪﺳﺔ

                 ﻓﻜﺮة ﻋﺎﻣﺔ ﻋﻦ أدوات اﻟﻤﻮازﻳﻦ اﻟﺒﺴﻴﻄﺔ ﻓﻰ أﻋﻤﺎل اﻟﻬﻨﺪﺳﺔ

                                     اﻟﻤﺪﻧﻴﺔ واﻟﻤﻌﻤﺎرﻳﺔ

                                     اﻟﻤﺪﻧﻴﺔ واﻟﻤﻌﻤﺎرﻳﺔ


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٣

٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

    اﻟﺒﺎب اﻷول

    اﻟﺒﺎب اﻷول

 

 

            أهﻤﻴﺔ وأهﺪاف وﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ

            أهﻤﻴﺔ وأهﺪاف وﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ


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٤

٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

          ﺗﻌﺮﻳﻒ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ

          ﺗﻌﺮﻳﻒ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ

  

  

 اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ هﻰ اﻟﺘﻰ ﻳﻤﻜﻦ ﻣﻦ ﺧﻼﻟﻬﺎ ﺗﻌﻴﻴﻦ ارﺗﻔﺎع واﻧﺨﻔﺎض ا

 اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ هﻰ اﻟﺘﻰ ﻳﻤﻜﻦ ﻣﻦ ﺧﻼﻟﻬﺎ ﺗﻌﻴﻴﻦ ارﺗﻔﺎع واﻧﺨﻔﺎض ا

    ﻟﻨﻘﺎط

    ﻟﻨﻘﺎط

   اﻟﻤﺴﺎﺣﻴﺔ ﺑﺎﻟﻨﺴﺒﺔ ﻟﺒﻌﻀﻬﺎ اﻟﺒﻌﺾ وآﺬﻟﻚ ﻋﻼﻗﺘﻬﺎ ﺑﻤﺴﺘﻮى ﻣﺮﺟﻌﻰ

   اﻟﻤﺴﺎﺣﻴﺔ ﺑﺎﻟﻨﺴﺒﺔ ﻟﺒﻌﻀﻬﺎ اﻟﺒﻌﺾ وآﺬﻟﻚ ﻋﻼﻗﺘﻬﺎ ﺑﻤﺴﺘﻮى ﻣﺮﺟﻌﻰ

)

)

  ﻣﺴﺘﻮى

  ﻣﺴﺘﻮى

 ﻣﻘﺎرﻧﺔ

 ﻣﻘﺎرﻧﺔ

  (

  (

ﺛﺎﺑﺖ

ﺛﺎﺑﺖ

.

.

        ﻳﺆﺧﺬ ﻋﺎدة ﻣﻨﺴﻮب ﻣﺴﺘﻮى اﻟﻤﻘﺎرﻧﺔ هﻮ اﻟﻤﻨﺴﻮب اﻟﻤﺘﻮﺳﻂ ﻟﺴﻄﺢ اﻟﺒﺤﺮ

        ﻳﺆﺧﺬ ﻋﺎدة ﻣﻨﺴﻮب ﻣﺴﺘﻮى اﻟﻤﻘﺎرﻧﺔ هﻮ اﻟﻤﻨﺴﻮب اﻟﻤﺘﻮﺳﻂ ﻟﺴﻄﺢ اﻟﺒﺤﺮ

(Mean Sea Level MSL)

(Mean Sea Level MSL)

   ﻋﻠﻰ ﻣﺪار اﻟﻌﺎم

   ﻋﻠﻰ ﻣﺪار اﻟﻌﺎم

.

.

 ﻋﻨﺪ ﺗﻨﻔﻴﺬ اﻟﻤﺸﺎرﻳﻊ اﻟﻬﻨﺪﺳﻴﺔ اﻟﻮﻃﻨﻴﺔ اﻟﻌﻤﻼﻗﺔ ﻳﺆﺧﺬ ﻣﺴﺘﻮى اﻟﻤﻘﺎرﻧﺔ

 ﻋﻨﺪ ﺗﻨﻔﻴﺬ اﻟﻤﺸﺎرﻳﻊ اﻟﻬﻨﺪﺳﻴﺔ اﻟﻮﻃﻨﻴﺔ اﻟﻌﻤﻼﻗﺔ ﻳﺆﺧﺬ ﻣﺴﺘﻮى اﻟﻤﻘﺎرﻧﺔ

   هﻮ

   هﻮ

    اﻟﻤﻨﺴﻮب اﻟﻤﺘﻮﺳﻂ ﻟﺴﻄﺢ اﻟﺒﺤﺮ وﻳﻄﻠﻖ ﻋﻠﻰ اﻟﻤﻨﺎﺳﻴﺐ اﻟﻤﻘﺎﺳﺔ أﻧﻬﺎ ﻣﻨﺎﺳﻴ

    اﻟﻤﻨﺴﻮب اﻟﻤﺘﻮﺳﻂ ﻟﺴﻄﺢ اﻟﺒﺤﺮ وﻳﻄﻠﻖ ﻋﻠﻰ اﻟﻤﻨﺎﺳﻴﺐ اﻟﻤﻘﺎﺳﺔ أﻧﻬﺎ ﻣﻨﺎﺳﻴ

 ﺐ

 ﺐ

ﻣﻄﻠﻘﺔ

ﻣﻄﻠﻘﺔ

 .

 .

       أﻣﺎ ﻋﻨﺪ ﺗﻨﻔﻴﺬ اﻟﻤﺸﺎرﻳﻊ اﻟﻬﻨﺪﺳﻴﺔ اﻟﻤﺤﺪودة ﻳﺆﺧﺬ ﻋﺎدة ﻣﺴﺘﻮى ﻣﻘﺎرﻧﺔ

       أﻣﺎ ﻋﻨﺪ ﺗﻨﻔﻴﺬ اﻟﻤﺸﺎرﻳﻊ اﻟﻬﻨﺪﺳﻴﺔ اﻟﻤﺤﺪودة ﻳﺆﺧﺬ ﻋﺎدة ﻣﺴﺘﻮى ﻣﻘﺎرﻧﺔ

    ﻣﺤﻠﻰ

    ﻣﺤﻠﻰ

)

)

 اﻓﺘﺮاﺿﻰ

 اﻓﺘﺮاﺿﻰ

 (

 (

 وﻳﻄﻠﻖ ﻋﻠﻰ اﻟﻤﻨﺎﺳﻴﺐ اﻟﻤﻘﺎﺳﺔ أﻧﻬﺎ ﻣﻨﺎﺳﻴﺐ ﻣﺤﻠﻴﺔ

 وﻳﻄﻠﻖ ﻋﻠﻰ اﻟﻤﻨﺎﺳﻴﺐ اﻟﻤﻘﺎﺳﺔ أﻧﻬﺎ ﻣﻨﺎﺳﻴﺐ ﻣﺤﻠﻴﺔ

.

.


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٥

٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                  أهﻤﻴﺔ وأهﺪاف أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ ﻓﻰ ﻋﻠﻢ اﻟﻤﺴﺎﺣﺔ

                  أهﻤﻴﺔ وأهﺪاف أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ ﻓﻰ ﻋﻠﻢ اﻟﻤﺴﺎﺣﺔ

 أهﻤﻴﺘﻬﺎ

 أهﻤﻴﺘﻬﺎ

  :

  :

١

١

-

-

      ﻣﻦ أهﻢ اﻷﻋﻤﺎل اﻟﻤﺴﺎﺣﻴﺔ

      ﻣﻦ أهﻢ اﻷﻋﻤﺎل اﻟﻤﺴﺎﺣﻴﺔ

٢

٢

-

-

     هﻰ اﻟﻌﻨﺼﺮ اﻷﺳﺎﺳﻰ

     هﻰ اﻟﻌﻨﺼﺮ اﻷﺳﺎﺳﻰ

)

)

     اﻟﻤﺒﺪﺋﻰ واﻟﻨﻬﺎﺋﻰ

     اﻟﻤﺒﺪﺋﻰ واﻟﻨﻬﺎﺋﻰ

 (

 (

    ﻟﻜﺜﻴﺮ ﻣﻦ اﻷﻋﻤﺎل اﻹﻧﺸﺎﺋﻴﺔ

    ﻟﻜﺜﻴﺮ ﻣﻦ اﻷﻋﻤﺎل اﻹﻧﺸﺎﺋﻴﺔ

       اﻟﻬﻨﺪﺳﻴﺔ ﻣﺜﻞ أﻋﻤﺎل اﻟﻤﺒﺎﻧﻰ

       اﻟﻬﻨﺪﺳﻴﺔ ﻣﺜﻞ أﻋﻤﺎل اﻟﻤﺒﺎﻧﻰ

    اﻟﻄﺮق

    اﻟﻄﺮق

           اﻟﺴﻜﻚ اﻟﺤﺪﻳﺪﻳﺔ واﻟﻜﺒﺎرى

           اﻟﺴﻜﻚ اﻟﺤﺪﻳﺪﻳﺔ واﻟﻜﺒﺎرى

 

 

        ﻣﺸﺎرﻳﻊ أﻋﻤﺎل اﻟﻤﻴﺎﻩ واﻟﺼﺮف وﺧﻼﻓﺔ

        ﻣﺸﺎرﻳﻊ أﻋﻤﺎل اﻟﻤﻴﺎﻩ واﻟﺼﺮف وﺧﻼﻓﺔ

  أهﺪاﻓﻬﺎ

  أهﺪاﻓﻬﺎ

  :

  :

١

١

-

-

             ﺗﻌﻴﻴﻦ ورﺑﻂ ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﺎط اﻟﻤﺴﺎﺣﻴﺔ ﺑﻌﻀﻬﺎ اﻟﺒﻌﺾ

             ﺗﻌﻴﻴﻦ ورﺑﻂ ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﺎط اﻟﻤﺴﺎﺣﻴﺔ ﺑﻌﻀﻬﺎ اﻟﺒﻌﺾ

٢

٢

-

-

           رﺳﻢ اﻟﻘﻄﺎﻋﺎت اﻟﻄﻮﻟﻴﺔ واﻟﻌﺮﺿﻴﺔ

           رﺳﻢ اﻟﻘﻄﺎﻋﺎت اﻟﻄﻮﻟﻴﺔ واﻟﻌﺮﺿﻴﺔ

٣

٣

-

-

        رﺳﻢ اﻟﺨﺮاﺋﻂ اﻟﻜﻨﺘﻮرﻳﺔ

        رﺳﻢ اﻟﺨﺮاﺋﻂ اﻟﻜﻨﺘﻮرﻳﺔ

٤

٤

-

-

         ﺣﺴﺎب ﻣﻜﻌﺒﺎت اﻟﺤﻔﺮ واﻟﺮدم

         ﺣﺴﺎب ﻣﻜﻌﺒﺎت اﻟﺤﻔﺮ واﻟﺮدم


background image

٦

٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

        ﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ

        ﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ

leveling methods

leveling methods

    ﺗﻨﻘﺴﻢ ﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻰ

    ﺗﻨﻘﺴﻢ ﻃﺮق ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻰ

:

:

١

١

-

-

     اﻟﻄﺮﻳﻘﺔ اﻟﻤﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

     اﻟﻄﺮﻳﻘﺔ اﻟﻤﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

Direct leveling 

Direct leveling 

:

:

        وﻳﻄﻠﻖ ﻋﻠﻲ هﺬﻩ اﻟﻄﺮﻳﻘﺔ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻔﺮﻗﻴﺔ

        وﻳﻄﻠﻖ ﻋﻠﻲ هﺬﻩ اﻟﻄﺮﻳﻘﺔ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻔﺮﻗﻴﺔ

Spirit or Differential leveling

Spirit or Differential leveling

  

  

    وﺗﻌﺘﺒﺮ هﻰ اﻷدق وﺳﻴﺘﻢ ﺷﺮﺣﻬﺎ ﺗﻔﺼﻴﻼ ﻓﻰ اﻟﺒﺎب اﻟﺜﺎﻧﻰ

    وﺗﻌﺘﺒﺮ هﻰ اﻷدق وﺳﻴﺘﻢ ﺷﺮﺣﻬﺎ ﺗﻔﺼﻴﻼ ﻓﻰ اﻟﺒﺎب اﻟﺜﺎﻧﻰ

.

.

٢

٢

-

-

      ﻃﺮق ﻏﻴﺮ ﻣﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

      ﻃﺮق ﻏﻴﺮ ﻣﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

Indirect leveling 

Indirect leveling 

:

:

 

 

 وﺗﻨﻘﺴﻢ اﻟﻰ

 وﺗﻨﻘﺴﻢ اﻟﻰ

             

             

١

١

-

-

   اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ

   اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ

Trigonometric leveling

Trigonometric leveling

 

 

             

             

٢

٢

-

-

    اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺒﺎروﻣﺘﺮﻳﺔ

    اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺒﺎروﻣﺘﺮﻳﺔ

Barometric leveling

Barometric leveling

 

 

٣

٣

-

-

      اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻴﺪروﺳﺘﺎﺗﻴﻜﻴﺔ

      اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻴﺪروﺳﺘﺎﺗﻴﻜﻴﺔ

Hydrostatic leveling

Hydrostatic leveling

 

 

             

             

٤

٤

-

-

            اﻟﻤﻴﺰاﻧﻴﺔ ﺑﺎﺳﺘﺨﺪام أﺟﻬﺰة اﺳﺘﻘﺒﺎل اﻻﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ

            اﻟﻤﻴﺰاﻧﻴﺔ ﺑﺎﺳﺘﺨﺪام أﺟﻬﺰة اﺳﺘﻘﺒﺎل اﻻﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ

GPS

GPS

 

 

         وﺳﻴﺘﻢ ﺷﺮح هﺬﻩ اﻟﻄﺮق  ﺑﺼﻮرة ﻣﻮﺟﺰة ﻓﻰ اﻟﺒﺎب اﻟﺜﺎﻟﺚ

         وﺳﻴﺘﻢ ﺷﺮح هﺬﻩ اﻟﻄﺮق  ﺑﺼﻮرة ﻣﻮﺟﺰة ﻓﻰ اﻟﺒﺎب اﻟﺜﺎﻟﺚ

.

.


background image

٧

٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

        اﻟﺒﺎب اﻟﺜﺎﻧﻰ

        اﻟﺒﺎب اﻟﺜﺎﻧﻰ

             اﻟﻄﺮﻳﻘﺔ اﻟﻤﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

             اﻟﻄﺮﻳﻘﺔ اﻟﻤﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

   

   

Direct leveling method

Direct leveling method


background image

٨

٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

       اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻔﺮﻗﻴﺔ

       اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻔﺮﻗﻴﺔ

 

 

s leveling

s leveling

Spirit / Differential / Ordinary / Engineer

Spirit / Differential / Ordinary / Engineer

          ﺗﻌﺘﺒﺮ هﻰ اﻟﻄﺮﻳﻘﺔ اﻷدق ﻟﺘﺤﺪﻳﺪ ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﻂ اﻟﻤﺴﺎﺣﻴﺔ

          ﺗﻌﺘﺒﺮ هﻰ اﻟﻄﺮﻳﻘﺔ اﻷدق ﻟﺘﺤﺪﻳﺪ ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﻂ اﻟﻤﺴﺎﺣﻴﺔ

   .

   .

           ﺗﻌﺘﻤﺪ ﻃﺮﻳﻘﺔ اﻟﻘﻴﺎس ﻋﻠﻰ اﺳﺘﺨﺪام

           ﺗﻌﺘﻤﺪ ﻃﺮﻳﻘﺔ اﻟﻘﻴﺎس ﻋﻠﻰ اﺳﺘﺨﺪام

 :

 :

 

 

I

I

-

-

    ﺟﻬﺎز

    ﺟﻬﺎز

)

)

 اﻟﻤﻴﺰان

 اﻟﻤﻴﺰان

(

(

      وﻳﺤﺘﻮى ﻋﻠﻰ

      وﻳﺤﺘﻮى ﻋﻠﻰ

:

:

              

              

-

-

         ﺗﻠﻴﺴﻜﻮب ﻣﺰود ﺑﻌﺪﺳﺎت ﺑﺼﺮﻳﺔ

         ﺗﻠﻴﺴﻜﻮب ﻣﺰود ﺑﻌﺪﺳﺎت ﺑﺼﺮﻳﺔ

              

              

-

-

              ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻣﺜﺒﺖ ﻋﻠﻰ ﻗﺎﻋﺪة اﻟﻤﻴﺰان ﻟﺘﻮﺟﻴﻪ ﻧﻈﺮ اﻟﺮاﺻﺪ ﻓﻰ ﺧﻂ

              ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻣﺜﺒﺖ ﻋﻠﻰ ﻗﺎﻋﺪة اﻟﻤﻴﺰان ﻟﺘﻮﺟﻴﻪ ﻧﻈﺮ اﻟﺮاﺻﺪ ﻓﻰ ﺧﻂ

                     اﻓﻘﻰ ﻣﺘﻌﺎﻣﺪ ﻋﻠﻰ ﺧﻂ  ﺟﺎذﺑﻴﺔ اﻟﺮاﺻﺪ

                     اﻓﻘﻰ ﻣﺘﻌﺎﻣﺪ ﻋﻠﻰ ﺧﻂ  ﺟﺎذﺑﻴﺔ اﻟﺮاﺻﺪ

.

.

II

II

-

-

   ﺣﺎﻣﻞ ﺛﻼﺛﻰ

   ﺣﺎﻣﻞ ﺛﻼﺛﻰ

     ﺧﺸﺒﻰ أو ﻣﻌﺪﻧﻰ ﻳﺮﺗﻜﺰ ﻋﻠﻴﻪ اﻟﻤﻴﺰان

     ﺧﺸﺒﻰ أو ﻣﻌﺪﻧﻰ ﻳﺮﺗﻜﺰ ﻋﻠﻴﻪ اﻟﻤﻴﺰان

  ،

  ،

     واﻟﺤﺎﻣﻞ  ﻣﺘﻐﻴﺮ اﻻرﺗﻔﺎع

     واﻟﺤﺎﻣﻞ  ﻣﺘﻐﻴﺮ اﻻرﺗﻔﺎع

      ﻟﻴﻨﺎﺳﺐ ﻣﺴﺘﻮى ﺧﻂ ﻧﻈﺮ اﻟﺮاﺻﺪ

      ﻟﻴﻨﺎﺳﺐ ﻣﺴﺘﻮى ﺧﻂ ﻧﻈﺮ اﻟﺮاﺻﺪ

 .

 .

 

 

III

III

-

-

  ﻗﺎﻣﺔ

  ﻗﺎﻣﺔ

                  ﺧﺸﺒﻴﺔ أو ﻣﻌﺪﻧﻴﺔ وهﻰ ﻋﺒﺎرة ﻋﻦ ﻣﺴﻄﺮة ﻣﺪرﺟﺔ اﻟﻰ اﻣﺘﺎر ودﻳﺴﻴﻤﺘﺮات

                  ﺧﺸﺒﻴﺔ أو ﻣﻌﺪﻧﻴﺔ وهﻰ ﻋﺒﺎرة ﻋﻦ ﻣﺴﻄﺮة ﻣﺪرﺟﺔ اﻟﻰ اﻣﺘﺎر ودﻳﺴﻴﻤﺘﺮات

 وﺳﻨﺘﻴﻤﺘﺮات

 وﺳﻨﺘﻴﻤﺘﺮات

.

.


background image

٩

٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

 اﻟﺒﺎب اﻟﺜﺎﻧﻰ

 اﻟﺒﺎب اﻟﺜﺎﻧﻰ

 اﻟﻔﺼﻞ اﻷول

 اﻟﻔﺼﻞ اﻷول

      اﻷدوات واﻷﺟﻬﺰة اﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

      اﻷدوات واﻷﺟﻬﺰة اﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ


background image

٠١

٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

I

I

-

-

 

 

                 أﻧﻮاع اﻟﻤﻮازﻳﻦ اﻟﻬﻨﺪﺳﻴﺔ

                 أﻧﻮاع اﻟﻤﻮازﻳﻦ اﻟﻬﻨﺪﺳﻴﺔ

Kinds of Levels

Kinds of Levels

 

 

          ﺗﻨﻘﺴﻢ اﻟﻤﻮازﻳﻦ ﻣﻦ ﺣﻴﺚ ﻧﻈﺮﻳﺔ اﻟﻌﻤﻞ واﻟﺘﺮآﻴﺐ اﻟﻰ

          ﺗﻨﻘﺴﻢ اﻟﻤﻮازﻳﻦ ﻣﻦ ﺣﻴﺚ ﻧﻈﺮﻳﺔ اﻟﻌﻤﻞ واﻟﺘﺮآﻴﺐ اﻟﻰ

:

:

١

١

-

-

  ﻣﻴﺰان دﻣﺒﻰ

  ﻣﻴﺰان دﻣﺒﻰ

Dumpy Level

Dumpy Level

٢

٢

-

-

     ﻣﻴﺰان ذات اﻹﻣﺎﻟﺔ

     ﻣﻴﺰان ذات اﻹﻣﺎﻟﺔ

Tilting Level

Tilting Level

٣

٣

-

-

  ﻣﻴﺰان دﻗﻴﻖ او ﻣﻴﺰان ﺟﻴﻮدﻳﺴﻰ

  ﻣﻴﺰان دﻗﻴﻖ او ﻣﻴﺰان ﺟﻴﻮدﻳﺴﻰ

Precise or Geodetic level

Precise or Geodetic level

 

 

٤

٤

-

-

     ﻣﻴﺰان أﺗﻮﻣﺎﺗﻴﻜﻰ

     ﻣﻴﺰان أﺗﻮﻣﺎﺗﻴﻜﻰ

Automatic or Self

Automatic or Self

-

-

leveling Level

leveling Level

٥

٥

-

-

     ﻣﻴﺰان اﻟﻠﻴﺰر

     ﻣﻴﺰان اﻟﻠﻴﺰر

Laser Level

Laser Level

٦

٦

-

-

      اﻟﻤﻴﺰان اﻟﺮﻗﻤﻰ

      اﻟﻤﻴﺰان اﻟﺮﻗﻤﻰ

)

)

    اﻹﻟﻴﻜﺘﺮوﻧﻰ

    اﻹﻟﻴﻜﺘﺮوﻧﻰ

(

(

                       

                       

Electronic Digital (Bar

Electronic Digital (Bar

-

-

code) Level  

code) Level  

٧

٧

-

-

          اﻟﺘﻴﻮدوﻟﻴﺖ وﻣﺤﻄﺔ اﻷرﺻﺎد اﻟﻤﺘﻜﺎﻣﻠﺔ

          اﻟﺘﻴﻮدوﻟﻴﺖ وﻣﺤﻄﺔ اﻷرﺻﺎد اﻟﻤﺘﻜﺎﻣﻠﺔ

 .

 .


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١١

١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

 ﺗﺎﺑﻊ

 ﺗﺎﺑﻊ

 

 

              أﻧﻮاع اﻟﻤﻮازﻳﻦ اﻟﻬﻨﺪﺳﻴﺔ

              أﻧﻮاع اﻟﻤﻮازﻳﻦ اﻟﻬﻨﺪﺳﻴﺔ

 

 

       آﻤﺎ ﺗﻨﻘﺴﻢ اﻟﻤﻮازﻳﻦ ﻣﻦ ﺣﻴﺚ اﻟﺪﻗﺔ  ﺗﺒﻌﺎ ﻟ

       آﻤﺎ ﺗﻨﻘﺴﻢ اﻟﻤﻮازﻳﻦ ﻣﻦ ﺣﻴﺚ اﻟﺪﻗﺔ  ﺗﺒﻌﺎ ﻟ

  ﻘﻮة ﺗﻜﺒﻴﺮ

  ﻘﻮة ﺗﻜﺒﻴﺮ

      اﻟﻤﻨﻈﺎر وﺣﺴﺎﺳﻴﺔ

      اﻟﻤﻨﻈﺎر وﺣﺴﺎﺳﻴﺔ

   ﻓﻘﺎﻋﺔ

   ﻓﻘﺎﻋﺔ

   ﻣﻴﺰان

   ﻣﻴﺰان

  اﻟﺘﺴﻮﻳﺔ

  اﻟﺘﺴﻮﻳﺔ

 اﻟﻰ

 اﻟﻰ

:

:

  ا

  ا

-

-

   ﻣﻴﺰان دﻗﻴﻖ

   ﻣﻴﺰان دﻗﻴﻖ

 

 

Precise Level

Precise Level

:

:

    ﻣﻴﺰان ذات

    ﻣﻴﺰان ذات

     ﻗﻮة ﺗﻜﺒﻴﺮ ﻋﺎﻟﻴﺔ

     ﻗﻮة ﺗﻜﺒﻴﺮ ﻋﺎﻟﻴﺔ

    وﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻋﺎﻟﻰ

    وﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻋﺎﻟﻰ

       اﻟﺤﺴﺎﺳﻴﺔ وﻳﺴﺘﺨﺪم ﻓﻰ

       اﻟﺤﺴﺎﺳﻴﺔ وﻳﺴﺘﺨﺪم ﻓﻰ

  اﻷﻋﻤﺎل

  اﻷﻋﻤﺎل

   اﻟﻬﻨﺪﺳﻴﺔ

   اﻟﻬﻨﺪﺳﻴﺔ

   اﻟﺘﻲ ﺗﺘﻄﻠﺐ دﻗﺔ ﻋﺎﻟﻴﺔ

   اﻟﺘﻲ ﺗﺘﻄﻠﺐ دﻗﺔ ﻋﺎﻟﻴﺔ

   ) 

   ) 

  ﻣﺜﻞ ﻧﻘﻞ

  ﻣﺜﻞ ﻧﻘﻞ

   ﻣﻨﺴﻮب

   ﻣﻨﺴﻮب

اﻟﺮوﺑﻴﺮات

اﻟﺮوﺑﻴﺮات

           اﻟﻤﺴﺎﺣﻴﺔ وأﻋﻤﺎل ﻗﻴﺎس هﺒﻮط اﻟﻤﺒﺎﻧﻰ واﻟﻜﺒﺎرى اﻟﻤﻌﺪﻧﻴﺔ

           اﻟﻤﺴﺎﺣﻴﺔ وأﻋﻤﺎل ﻗﻴﺎس هﺒﻮط اﻟﻤﺒﺎﻧﻰ واﻟﻜﺒﺎرى اﻟﻤﻌﺪﻧﻴﺔ

(

(

 .

 .

 ب

 ب

-

-

 

 

 

 

ﻣﻴﺰان

ﻣﻴﺰان

       ﻣﺘﻮﺳﻂ اﻟﺪﻗﺔ

       ﻣﺘﻮﺳﻂ اﻟﺪﻗﺔ

  

  

Medium Accurate level

Medium Accurate level

 

 

:

:

   وه

   وه

 ﻮ

 ﻮ

        أﻗﻞ دﻗﺔ ﻣﻦ

        أﻗﻞ دﻗﺔ ﻣﻦ

  اﻟﻤﻴﺰان

  اﻟﻤﻴﺰان

 اﻟﺪﻗﻴﻖ

 اﻟﺪﻗﻴﻖ

  

  

وﻳ

وﻳ

    ﺴﺘﺨﺪم

    ﺴﺘﺨﺪم

ﻓﻰ

ﻓﻰ

    ﻣﻌﻈﻢ اﻟﻤﺸﺎرﻳﻊ اﻟﻬﻨﺪﺳﻴﺔ

    ﻣﻌﻈﻢ اﻟﻤﺸﺎرﻳﻊ اﻟﻬﻨﺪﺳﻴﺔ

 ) 

 ) 

        ﻣﺜﻞ أﻋﻤﺎل اﻟﻤﺒﺎﻧﻰ واﻟﻤﻨﺸﺂت

        ﻣﺜﻞ أﻋﻤﺎل اﻟﻤﺒﺎﻧﻰ واﻟﻤﻨﺸﺂت

 اﻟﺨﺮﺳﺎﻧﻴﺔ

 اﻟﺨﺮﺳﺎﻧﻴﺔ

.( 

.( 

   ـﺟ

   ـﺟ

-

-

 

 

 

 

     ﻣﻴﺰان ﻣﻨﺨﻔﺾ اﻟﺪﻗﺔ

     ﻣﻴﺰان ﻣﻨﺨﻔﺾ اﻟﺪﻗﺔ

Low accuracy Level

Low accuracy Level

 

 

:

:

 

 

        أﻗﻠﻬﻢ دﻗﺔ وﻳﺴﺘﺨﺪم ﻓﻰ

        أﻗﻠﻬﻢ دﻗﺔ وﻳﺴﺘﺨﺪم ﻓﻰ

اﻟ

اﻟ

  ﻤﺸﺎرﻳﻊ

  ﻤﺸﺎرﻳﻊ

 اﻟﻬﻨﺪﺳﻴﺔ

 اﻟﻬﻨﺪﺳﻴﺔ

 

 

          ذات اﻟﺪﻗﺔ اﻟﻤﺤﺪودة

          ذات اﻟﺪﻗﺔ اﻟﻤﺤﺪودة

 )

 )

              ﻣﺜﻞ أﻋﻤﺎل اﻟﻄﺮق وأﻋﻤﺎل ﺣﺴﺎب

              ﻣﺜﻞ أﻋﻤﺎل اﻟﻄﺮق وأﻋﻤﺎل ﺣﺴﺎب

            ﻣﻜﻌﺒﺎت اﻟﺤﻔﺮ واﻟﺮدم واﻟﻤﻨﺸﺂت اﻟﻬﻨﺪﺳﻴﺔ ذات اﻟﻤﺴﺎﺣﺎت اﻟﺼﻐﻴﺮة

            ﻣﻜﻌﺒﺎت اﻟﺤﻔﺮ واﻟﺮدم واﻟﻤﻨﺸﺂت اﻟﻬﻨﺪﺳﻴﺔ ذات اﻟﻤﺴﺎﺣﺎت اﻟﺼﻐﻴﺮة

(

(

.

.


background image

٢١

٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

       ﻣﻴﺰان دﻣﺒﻰ

       ﻣﻴﺰان دﻣﺒﻰ

 

 

Dumpy Level

Dumpy Level

-

       اﻷآﺜﺮ اﻟﻤﻮازﻳﻦ اﺳﺘﺨﺪاﻣﺎ ﻟﺘﻌﻴﻴﻦ اﻻرﺗﻔﺎﻋﺎت واﻻﻧﺨﻔﺎﺿﺎت ﻓﻰ اﻷﻋﻤﺎ

    ل اﻟﻬﻨﺪﺳﻴﺔ

          اﻻﻋﺘﻴﺎدﻳﺔ و ﻳﻄﻠﻖ ﻋﻠﻴﻪ أﺣﻴﺎﻧﺎ اﺳﻢ اﻟﻤﻴﺰان اﻟﻬﻨﺪﺳﻰ أو ﻣﻴﺰان اﻟﻤﺒﺎ

 ﻧﻰ

Builder's 

or Engineer's Level

-

      اﻟﻤﻨﻈﺎر واﻟﺪاﺋﺮة اﻷﻓﻘﻴﺔ ﻣﺜﺒﺘﻴﻦ ﻣﻊ ﺑﻌﻀﻬﻤﺎ اﻟﺒﻌﺾ

 .

-

               ﻓﻰ ﺑﻌﺾ اﻟﻤﻮازﻳﻦ اﻟﻘﺪﻳﻤﺔ ﺗﻜﻮن ﻣﺠﻤﻮﻋﺔ اﻟﻌﺪﺳﺎت اﻟﺒﺼﺮﻳﺔ ﻣﻘﻠﻮﺑﺔ وﻟﺬا

   ﺗﺤﺘﺎج

   ﻗﺎﻣﺔ ﻣﻘﻠﻮﺑﺔ أﺛﻨﺎء اﻟﺮﺻﺪ

.

Baker, London, England

Sokkia, Japan


background image

٣١

٣١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

        ﻣﻴﺰان ذات اﻹﻣﺎﻟﺔ

        ﻣﻴﺰان ذات اﻹﻣﺎﻟﺔ

 

 

Tilting Level

Tilting Level

-

           ﻳﻤﻜﻦ ﺗﺤﺮﻳﻚ اﻟﻤﻨﻈﺎر أو إﻣﺎﻟﺘﻪ ﻗﻠﻴﻼ ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰا

ن

 .

 

-

                   ﻳﺴﺘﺨﺪم ﻓﻰ اﻷﻋﻤﺎل اﻟﻬﻨﺪﺳﻴﺔ اﻟﺪﻗﻴﻘﺔ وﻳﺤﺘﺎج ﻣﺰﻳﺪ ﻣﻦ اﻟﻮﻗﺖ واﻟﻤﺠﻬﻮ

  د واﻟﺘﻜﻠﻔﺔ

.

Cooke, England

Cooke, England

.

.

Wild 

Wild 

(

(

Switzerland)

Switzerland)


background image

٤١

٤١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

          ﻣﻦ أدق اﻟﻤﻮازﻳﻦ اﻟﻤﺴﺎﺣﻴﺔ

          ﻣﻦ أدق اﻟﻤﻮازﻳﻦ اﻟﻤﺴﺎﺣﻴﺔ

-

-

          ﻣﺰود ﺑﻤﻴﻜﺮوﻣﺘﺮ ذو ﻟﻮح ﻣﺘﻮازى

          ﻣﺰود ﺑﻤﻴﻜﺮوﻣﺘﺮ ذو ﻟﻮح ﻣﺘﻮازى

Micrometer with parallel plate

Micrometer with parallel plate

 

 

 ﻟﻘﺮاءة آﺴﺮ ﺗﺪرﻳﺞ اﻟﻘﺎﻣﺔ

 ﻟﻘﺮاءة آﺴﺮ ﺗﺪرﻳﺞ اﻟﻘﺎﻣﺔ

-

-

         اﻟﻘﺎﻣﺔ اﻟﻤﺴﺘﺨﺪﻣﺔ ﻣﺰودة ﺑﺸﺮﻳﻂ اﻧﻔﺎر

         اﻟﻘﺎﻣﺔ اﻟﻤﺴﺘﺨﺪﻣﺔ ﻣﺰودة ﺑﺸﺮﻳﻂ اﻧﻔﺎر

)

)

          ﻣﺎدة ذات ﻣﻌﺎﻣﻞ ﺗﻤﺪد ﻗﻠﻴﻞ ﺟﺪا

          ﻣﺎدة ذات ﻣﻌﺎﻣﻞ ﺗﻤﺪد ﻗﻠﻴﻞ ﺟﺪا

 (

 (

٣

٣

-

-

                    ﻣﻴﺰان دﻗﻴﻖ او ﻣﻴﺰان ﺟﻴﻮدﻳﺴﻰ

                    ﻣﻴﺰان دﻗﻴﻖ او ﻣﻴﺰان ﺟﻴﻮدﻳﺴﻰ

 

 

Precise or Geodetic level

Precise or Geodetic level

ﻣﻴﺰان دﻗﻴﻖ

ﻣﻴﺰان دﻗﻴﻖ

 

 

Precise Level 

Precise Level 

(Carl 

(Carl 

Zeiss

Zeiss

)

)

 ﻗﺎﻣﺔ ﻣﻴﺰان دﻗﻴﻖ

 ﻗﺎﻣﺔ ﻣﻴﺰان دﻗﻴﻖ

 

 

Precise Level 

Precise Level 

Rods

Rods


background image

٥١

٥١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٤

٤

-

-

          ﻣﻴﺰان أﺗﻮﻣﺎﺗﻴﻜﻰ

          ﻣﻴﺰان أﺗﻮﻣﺎﺗﻴﻜﻰ

 

 

leveling Level

leveling Level

-

-

Automatic or Self 

Automatic or Self 

                ﻳﺤﺘﻮى ﻋﻠﻰ ﻣﻨﻈﻮﻣﺔ ﻣﻴﻜﺎﻧﻴﻜﻴﺔ داﺧﻠﻴﺔ ﺗﺤﺎﻓﻆ ﻋﻠﻰ أﻓﻘﻴﺔ ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ ﺟﻤ

                ﻳﺤﺘﻮى ﻋﻠﻰ ﻣﻨﻈﻮﻣﺔ ﻣﻴﻜﺎﻧﻴﻜﻴﺔ داﺧﻠﻴﺔ ﺗﺤﺎﻓﻆ ﻋﻠﻰ أﻓﻘﻴﺔ ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ ﺟﻤ

ﻴﻊ اﻻﺗﺠﺎهﺎت

ﻴﻊ اﻻﺗﺠﺎهﺎت

      وذﻟﻚ ﺑﻌﺪ اﻟﻀﺒﻂ اﻟﻤﺒﺪﺋﻰ ﻟﻤﻴﺰان اﻟﺘﺴﻮﻳﺔ

      وذﻟﻚ ﺑﻌﺪ اﻟﻀﺒﻂ اﻟﻤﺒﺪﺋﻰ ﻟﻤﻴﺰان اﻟﺘﺴﻮﻳﺔ

 .

 .

Topcon, Japan


background image

٦١

٦١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٥

٥

-

-

     ﻣﻴﺰان اﻟﻠﻴﺰر

     ﻣﻴﺰان اﻟﻠﻴﺰر

Laser Level

Laser Level

-

-

            ﻳﺠﻤﻊ ﺑﻴﻦ اﻟﺴﻬﻮﻟﺔ واﻟﺴﺮﻋﺔ ﻓﻰ ﺗﻨﻔﻴﺬ اﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

            ﻳﺠﻤﻊ ﺑﻴﻦ اﻟﺴﻬﻮﻟﺔ واﻟﺴﺮﻋﺔ ﻓﻰ ﺗﻨﻔﻴﺬ اﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

-

-

          ﻳﺤﺘﻮى ﻋﻠﻰ ﻣﺼﺪر ﻳﻨﺘﺞ ﺷﻌﺎع ﻟﻴﺰر أﻓﻘﻰ دوار ﻟﺘﻜﻮﻳﻦ ﻣﺴﺘﻮى أﻓﻘﻰ او رأ

          ﻳﺤﺘﻮى ﻋﻠﻰ ﻣﺼﺪر ﻳﻨﺘﺞ ﺷﻌﺎع ﻟﻴﺰر أﻓﻘﻰ دوار ﻟﺘﻜﻮﻳﻦ ﻣﺴﺘﻮى أﻓﻘﻰ او رأ

  ﺳﻰ

  ﺳﻰ

            ﻳﺴﺘﻘﺒﻞ ﻋﻠﻰ وﺣﺪﻩ ﺧﺎﺻﺔ ﺗﺎﺑﻌﺔ ﻟﻠﺠﻬﺎز ﺗﻘﻮم ﺑﺈﻇﻬﺎر اﻟﻤﻌﻠﻮﻣﺎت واﻟﺒﻴﺎﻧﺎ

            ﻳﺴﺘﻘﺒﻞ ﻋﻠﻰ وﺣﺪﻩ ﺧﺎﺻﺔ ﺗﺎﺑﻌﺔ ﻟﻠﺠﻬﺎز ﺗﻘﻮم ﺑﺈﻇﻬﺎر اﻟﻤﻌﻠﻮﻣﺎت واﻟﺒﻴﺎﻧﺎ

  ت اﻟﺨﺎﺻﺔ

  ت اﻟﺨﺎﺻﺔ

     ﺑﺎﻟﻤﻨﺴﻮب أو اﻟﻤﻴﻞ

     ﺑﺎﻟﻤﻨﺴﻮب أو اﻟﻤﻴﻞ

-

-

       ﺗﺤﺘﺎج ﻟﺮاﺻﺪ واﺣﺪ ﻓﻘﻂ

       ﺗﺤﺘﺎج ﻟﺮاﺻﺪ واﺣﺪ ﻓﻘﻂ

One man leveling

One man leveling


background image

٧١

٧١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٦

٦

-

-

      اﻟﻤﻴﺰان اﻟﺮﻗﻤﻰ

      اﻟﻤﻴﺰان اﻟﺮﻗﻤﻰ

)

)

    اﻹﻟﻴﻜﺘﺮوﻧﻰ

    اﻹﻟﻴﻜﺘﺮوﻧﻰ

(

(

 

 

code) Level

code) Level

-

-

Electronic Digital (Bar

Electronic Digital (Bar

-

-

                      ﻋﺮض اﻟﻤﻌﻠﻮﻣﺎت ﻋﻠﻰ ﺷﺎﺷﺔ اﻟﺠﻬﺎز وﺗﺴﺠﻴﻞ اﻟﻤﻌﻠﻮﻣﺎت واﻟﺒﻴﺎﻧﺎت

                      ﻋﺮض اﻟﻤﻌﻠﻮﻣﺎت ﻋﻠﻰ ﺷﺎﺷﺔ اﻟﺠﻬﺎز وﺗﺴﺠﻴﻞ اﻟﻤﻌﻠﻮﻣﺎت واﻟﺒﻴﺎﻧﺎت

  

  

              ﻓﻲ ذاآﺮة اﻟﺠﻬﺎز اﻟﺪاﺧﻠﻴﺔ

              ﻓﻲ ذاآﺮة اﻟﺠﻬﺎز اﻟﺪاﺧﻠﻴﺔ

)

)

 آﺮوت ﻣﻤﻐﻨﻄﺔ

 آﺮوت ﻣﻤﻐﻨﻄﺔ

  

  

PCMCIA

PCMCIA

 (

 (

وﺗﺒﻠﻎ

وﺗﺒﻠﻎ

 

 

           دﻗﺔ اﻟﺠﻬﺎز ﻓﻲ ﺗﻌﻴﻴﻦ اﻟﻤﻨﺎﺳﻴﺐ

           دﻗﺔ اﻟﺠﻬﺎز ﻓﻲ ﺗﻌﻴﻴﻦ اﻟﻤﻨﺎﺳﻴﺐ

١

١

ﻣﻢ

ﻣﻢ

/

/

١

١

           آﻢ ودﻗﺔ ﺗﻌﻴﻴﻦ اﻟﻤﺴﺎﻓﺎت

           آﻢ ودﻗﺔ ﺗﻌﻴﻴﻦ اﻟﻤﺴﺎﻓﺎت

١

١

-

-

٥

٥

  ﺳﻢ

  ﺳﻢ

-

-

 

 

 

 

                     ﻳﻤﻜﻦ ﻣﻦ ﺧﻼﻟﻪ ﻗﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ ﺑﺎﺳﺘﺨﺪام ﻗﺎﻣﺔ اﻟﻴﻜﺘﺮوﻧﻴﺔ ﺧﺎﺻﺔ

                     ﻳﻤﻜﻦ ﻣﻦ ﺧﻼﻟﻪ ﻗﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ ﺑﺎﺳﺘﺨﺪام ﻗﺎﻣﺔ اﻟﻴﻜﺘﺮوﻧﻴﺔ ﺧﺎﺻﺔ


background image

٨١

٨١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

 

 

٧

٧

-

-

             اﻟﺘﻴﻮدوﻟﻴﺖ وﻣﺤﻄﺔ اﻟﺮﺻﺪ اﻟﻤﺘﻜﺎﻣﻠﺔ

             اﻟﺘﻴﻮدوﻟﻴﺖ وﻣﺤﻄﺔ اﻟﺮﺻﺪ اﻟﻤﺘﻜﺎﻣﻠﺔ

Theodolite and Total Station

Theodolite and Total Station

        ﻳﻤﻜﻦ اﺳﺘﺨﺪاﻣﻬﻤﺎ ﻓﻰ اﻟﻮﺿﻊ اﻷﻓﻘﻰ آﻤﻴﺰان هﻨﺪﺳﻰ

        ﻳﻤﻜﻦ اﺳﺘﺨﺪاﻣﻬﻤﺎ ﻓﻰ اﻟﻮﺿﻊ اﻷﻓﻘﻰ آﻤﻴﺰان هﻨﺪﺳﻰ


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٩١

٩١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

II

II

 

 

-

-

        ﺣﺎﻣﻞ اﻟﻤﻴﺰان

        ﺣﺎﻣﻞ اﻟﻤﻴﺰان

Tripod

Tripod

      ﻳﻨﻘﺴﻢ ﺣﺎﻣﻞ اﻟﻤﻴﺰان اﻟﻰ

      ﻳﻨﻘﺴﻢ ﺣﺎﻣﻞ اﻟﻤﻴﺰان اﻟﻰ

:

:

١

١

 

 

-

-

      ﺣﺎﻣﻞ ﺧﺸﺒﻰ

      ﺣﺎﻣﻞ ﺧﺸﺒﻰ


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٠٢

٠٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

            ﺣﺎﻣﻞ أﻟﻤﻮﻧﻴﻮم

            ﺣﺎﻣﻞ أﻟﻤﻮﻧﻴﻮم


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١٢

١٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

III

III

 

 

   اﻟﻘﺎﻣﺔ

   اﻟﻘﺎﻣﺔ

Staff

Staff

 ﺗﺼﻨﻊ ﻣﻦ

 ﺗﺼﻨﻊ ﻣﻦ

 :

 :

    اﻟﺨﺸﺐ

    اﻟﺨﺸﺐ

   اﻷﻟﻤﻨﻴﻮم

   اﻷﻟﻤﻨﻴﻮم

  اﻟﻔﺎﻳﺒﺮ

  اﻟﻔﺎﻳﺒﺮ

 ﺟﻼس

 ﺟﻼس

        ﻗﻄﺎﻋﻬﺎ

        ﻗﻄﺎﻋﻬﺎ

 :

 :

   ﻣﺴﺘﻄﻴﻞ

   ﻣﺴﺘﻄﻴﻞ

  ﻣﺮﺑﻊ

  ﻣﺮﺑﻊ

 داﺋﺮى

 داﺋﺮى

.

.

      أﺷﻜﺎﻟﻬﺎ

      أﺷﻜﺎﻟﻬﺎ

 :

 :

      ﻗﻄﻌﺔ واﺣﺪة

      ﻗﻄﻌﺔ واﺣﺪة

  ﻣﻔﺼﻠﻴﺔ

  ﻣﻔﺼﻠﻴﺔ

)

)

  ﻣﻨﻄﺒﻘﺔ اﻟﻰ ﻗﺴﻤﻴﻦ او أرﺑﻌﺔ أﻗﺴﺎم

  ﻣﻨﻄﺒﻘﺔ اﻟﻰ ﻗﺴﻤﻴﻦ او أرﺑﻌﺔ أﻗﺴﺎم

 (

 (

 

 

                  ﻣﻨﺰﻟﻘﺔ

                  ﻣﻨﺰﻟﻘﺔ

)

)

     ﻣﺘﺪاﺧﻠﺔ أو ﺗﻠﺴﻜﻮﺑﻴﺔ

     ﻣﺘﺪاﺧﻠﺔ أو ﺗﻠﺴﻜﻮﺑﻴﺔ

.(

.(

        أﻃﻮاﻟﻬﺎ

        أﻃﻮاﻟﻬﺎ

 :

 :

  ﻳﺘﺮاوح ﺑﻴﻦ

  ﻳﺘﺮاوح ﺑﻴﻦ

١

١

  اﻟﻰ

  اﻟﻰ

٦

٦

 ﻣﺘﺮ

 ﻣﺘﺮ

.

.

      ﺗﺪرﻳﺠﻬﺎ

      ﺗﺪرﻳﺠﻬﺎ

 :

 :

      ﺗﺪرج اﻟﻰ اﻣﺘﺎر ودﻳﺴﻴﻤﺘﺮات وﺳﻨﺘﻴﻤﺘﺮات ﺻﺤﻴﺤﺔ وﺑﻌﻀﻬﺎ ﻳﺪرج

      ﺗﺪرج اﻟﻰ اﻣﺘﺎر ودﻳﺴﻴﻤﺘﺮات وﺳﻨﺘﻴﻤﺘﺮات ﺻﺤﻴﺤﺔ وﺑﻌﻀﻬﺎ ﻳﺪرج

                  ﻣﻦ اﻟﺨﻠﻒ اﻟﻰ ﻣﻠﻠﻴﻤﺘﺮات

                  ﻣﻦ اﻟﺨﻠﻒ اﻟﻰ ﻣﻠﻠﻴﻤﺘﺮات

.

.

     وﺿﻌﻬﺎ

     وﺿﻌﻬﺎ

 :

 :

       إﻣﺎ ان ﺗﻜﻮن اﻟﻘﺎﻣﺔ ﻋﺪﻟﻪ او ﻣﻘﻠﻮﺑﺔ وذﻟﻚ ﻳﺘﻮﻗﻒ ﻋﻠﻰ وﺿﻊ وﺗﺮآﻴﺐ

       إﻣﺎ ان ﺗﻜﻮن اﻟﻘﺎﻣﺔ ﻋﺪﻟﻪ او ﻣﻘﻠﻮﺑﺔ وذﻟﻚ ﻳﺘﻮﻗﻒ ﻋﻠﻰ وﺿﻊ وﺗﺮآﻴﺐ

                   اﻟﻌﺪﺳﺎت ﻓﻰ اﻟﻤﻴﺰان  اﻟﻤﺴﺘﺨﺪم

                   اﻟﻌﺪﺳﺎت ﻓﻰ اﻟﻤﻴﺰان  اﻟﻤﺴﺘﺨﺪم

.

.

  

  


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٢٢

٢٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

    أﺷﻜﺎل اﻟﻘﺎﻣﺔ

    أﺷﻜﺎل اﻟﻘﺎﻣﺔ


background image

٣٢

٣٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   ﺗﺪرﻳﺞ اﻟﻘﺎﻣﺔ

   ﺗﺪرﻳﺞ اﻟﻘﺎﻣﺔ


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٤٢

٤٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

      اﻟﻔﺼﻞ اﻟﺜﺎﻧﻰ

      اﻟﻔﺼﻞ اﻟﺜﺎﻧﻰ

           اﻟﺘﺮآﻴﺐ اﻟﺪاﺧﻠﻰ واﻟﺨﺎرﺟﻰ ﻟﻠﻤﻴﺰان

           اﻟﺘﺮآﻴﺐ اﻟﺪاﺧﻠﻰ واﻟﺨﺎرﺟﻰ ﻟﻠﻤﻴﺰان


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٥٢

٥٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

  ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ

  ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ

 اﻟﺮؤﻳﺔ

 اﻟﺮؤﻳﺔ

)

)

  ﻣﺴﻤﺎر

  ﻣﺴﻤﺎر

اﻟﺘﻄﺒﻴﻖ

اﻟﺘﻄﺒﻴﻖ

(

(

 ﻣﺴﻤﺎر اﻟﺤﺮآﺔ

 ﻣﺴﻤﺎر اﻟﺤﺮآﺔ

  اﻷﻓﻘﻴﺔ اﻟﺒﻄﻴﺌﺔ

  اﻷﻓﻘﻴﺔ اﻟﺒﻄﻴﺌﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

اﻟﺪاﺋﺮى

اﻟﺪاﺋﺮى

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

  اﻟﻨﺎﺷﻨﻜﺎة

  اﻟﻨﺎﺷﻨﻜﺎة

  اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

  اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

  ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

  ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

ﻣﺮﺁة

ﻣﺮﺁة

 اﻟﻤﻨﻈﺎر

 اﻟﻤﻨﻈﺎر

)

)

   اﻟﺘﻠﺴﻜﻮب

   اﻟﺘﻠﺴﻜﻮب

(

(

 ﻗﺎﻋﺪة

 ﻗﺎﻋﺪة

اﻟﻤﻴﺰان

اﻟﻤﻴﺰان

اﻟﺘﺮاﻳﺒﺮخ

اﻟﺘﺮاﻳﺒﺮخ

  ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ

  ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ

 اﻟﺮؤﻳﺔ

 اﻟﺮؤﻳﺔ

)

)

  ﻣﺴﻤﺎر

  ﻣﺴﻤﺎر

اﻟﺘﻄﺒﻴﻖ

اﻟﺘﻄﺒﻴﻖ

(

(

 ﻣﺴﻤﺎر اﻟﺤﺮآﺔ

 ﻣﺴﻤﺎر اﻟﺤﺮآﺔ

  اﻷﻓﻘﻴﺔ اﻟﺒﻄﻴﺌﺔ

  اﻷﻓﻘﻴﺔ اﻟﺒﻄﻴﺌﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

اﻟﺪاﺋﺮى

اﻟﺪاﺋﺮى

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

  اﻟﻨﺎﺷﻨﻜﺎة

  اﻟﻨﺎﺷﻨﻜﺎة

  اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

  اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

  ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

  ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

ﻣﺮﺁة

ﻣﺮﺁة

 اﻟﻤﻨﻈﺎر

 اﻟﻤﻨﻈﺎر

)

)

   اﻟﺘﻠﺴﻜﻮب

   اﻟﺘﻠﺴﻜﻮب

(

(

 ﻗﺎﻋﺪة

 ﻗﺎﻋﺪة

اﻟﻤﻴﺰان

اﻟﻤﻴﺰان

اﻟﺘﺮاﻳﺒﺮخ

اﻟﺘﺮاﻳﺒﺮخ

  ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ

  ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ

 اﻟﺮؤﻳﺔ

 اﻟﺮؤﻳﺔ

)

)

 ﻣﺴﻤﺎر

 ﻣﺴﻤﺎر

اﻟﺘﻄﺒﻴﻖ

اﻟﺘﻄﺒﻴﻖ

(

(

 ﻣﺴﻤﺎر اﻟﺤﺮآﺔ

 ﻣﺴﻤﺎر اﻟﺤﺮآﺔ

  اﻷﻓﻘﻴﺔ اﻟﺒﻄﻴﺌﺔ

  اﻷﻓﻘﻴﺔ اﻟﺒﻄﻴﺌﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

اﻟﺪاﺋﺮى

اﻟﺪاﺋﺮى

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

  اﻟﻨﺎﺷﻨﻜﺎة

  اﻟﻨﺎﺷﻨﻜﺎة

  اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

  اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

  ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

  ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

ﻣﺮﺁة

ﻣﺮﺁة

 اﻟﻤﻨﻈﺎر

 اﻟﻤﻨﻈﺎر

)

)

   اﻟﺘﻠﺴﻜﻮب

   اﻟﺘﻠﺴﻜﻮب

(

(

  ﻗﺎﻋﺪة

  ﻗﺎﻋﺪة

اﻟﻤﻴﺰان

اﻟﻤﻴﺰان

اﻟﺘﺮاﻳﺒﺮاخ

اﻟﺘﺮاﻳﺒﺮاخ

             اﻟﻤﻜﻮﻧﺎت اﻷﺳﺎﺳﻴﺔ اﻟﺨﺎرﺟﻴﺔ ﻟﻠﻤﻴﺰان

             اﻟﻤﻜﻮﻧﺎت اﻷﺳﺎﺳﻴﺔ اﻟﺨﺎرﺟﻴﺔ ﻟﻠﻤﻴﺰان

 ﻣﺤﻮر

 ﻣﺤﻮر

 ﺧﻂ

 ﺧﻂ

اﻟﻨﻈﺮ

اﻟﻨﻈﺮ

 اﻟﻤﺤﻮر اﻟﺮأﺳﻰ

 اﻟﻤﺤﻮر اﻟﺮأﺳﻰ


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٦٢

٦٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

Level components

Level components

Eyepiece

Eyepiece

Focus Knob

Focus Knob

Bubble

Bubble

Foot screw

Foot screw

Slow 

Slow 

Motion

Motion

Objective

Objective

Line of 

Line of 

sight

sight

Gun 

Gun 

Sight

Sight

Internal 

Internal 

vertical line

vertical line

Trivet

Trivet


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٧٢

٧٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

           اﻟﻤﻜﻮﻧﺎت اﻟﺮﺋﻴﺴﻴﺔ ﻟﻠﻤﻴﺰان

           اﻟﻤﻜﻮﻧﺎت اﻟﺮﺋﻴﺴﻴﺔ ﻟﻠﻤﻴﺰان

١

١

-

-

  اﻟﻨﺎﺷﻨﻜﺎة

  اﻟﻨﺎﺷﻨﻜﺎة

Gun sight

Gun sight

:

:

          أﻋﻠﻰ ﺟﺰء ﻓﻰ اﻟﻤﻴﺰان وﻳﺴﺘﺨﺪم ﻟﻠﺘﻮﺟﻴﻪ اﻟﻤﺒﺪﺋﻰ ﻋﻠﻰ

          أﻋﻠﻰ ﺟﺰء ﻓﻰ اﻟﻤﻴﺰان وﻳﺴﺘﺨﺪم ﻟﻠﺘﻮﺟﻴﻪ اﻟﻤﺒﺪﺋﻰ ﻋﻠﻰ

اﻟﻘﺎﻣﺔ

اﻟﻘﺎﻣﺔ

 .

 .

٢

٢

-

-

    اﻟﻤﻨﻈﺎر

    اﻟﻤﻨﻈﺎر

Telescope

Telescope

:

:

             اﺳﻄﻮاﻧﺔ ﻣﻌﺪﻧﻴﺔ ﻣﺜﺒﺖ ﺑﺪاﺧﻠﻬﺎ ﺟﻤﻴﻊ اﻟﻌﺪﺳﺎت اﻟﺨﺎﺻﺔ

             اﺳﻄﻮاﻧﺔ ﻣﻌﺪﻧﻴﺔ ﻣﺜﺒﺖ ﺑﺪاﺧﻠﻬﺎ ﺟﻤﻴﻊ اﻟﻌﺪﺳﺎت اﻟﺨﺎﺻﺔ

ﺑﺎﻟﺮؤﻳﺔ

ﺑﺎﻟﺮؤﻳﺔ

 ،

 ،

          وﻣﺜﺒﺖ ﻋﻠﻴﻬﺎ ﻣﻦ اﻟﺨﺎرج ﺑﻌﺾ اﻟﻤﺴﺎﻣﻴﺮ اﻟﺘﻰ ﺗﺴﺎﻋﺪ ﻓﻰ اﻋﻤﺎل اﻟﻀﺒﻂ

          وﻣﺜﺒﺖ ﻋﻠﻴﻬﺎ ﻣﻦ اﻟﺨﺎرج ﺑﻌﺾ اﻟﻤﺴﺎﻣﻴﺮ اﻟﺘﻰ ﺗﺴﺎﻋﺪ ﻓﻰ اﻋﻤﺎل اﻟﻀﺒﻂ

   واﻟﺘﻮﺟﻴﻪ

   واﻟﺘﻮﺟﻴﻪ

 .

 .

٣

٣

-

-

    اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

    اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

Eyepiece

Eyepiece

:

:

       اﻟﻌﺪﺳﺔ اﻷوﻟﻰ اﻟﻤﻘﺎﺑﻠﺔ ﻟﻌﻴﻦ اﻟﺮاﺻﺪ وﺗﺴﺘﺨﺪم

       اﻟﻌﺪﺳﺔ اﻷوﻟﻰ اﻟﻤﻘﺎﺑﻠﺔ ﻟﻌﻴﻦ اﻟﺮاﺻﺪ وﺗﺴﺘﺨﺪم

    ﻟﻤﺴﺎﻋﺪﺗﻪ ﻓﻰ اﻟﺘﻮﺟﻴﻪ ﻋﻠﻰ اﻟﻘﺎﻣﺔ

    ﻟﻤﺴﺎﻋﺪﺗﻪ ﻓﻰ اﻟﺘﻮﺟﻴﻪ ﻋﻠﻰ اﻟﻘﺎﻣﺔ

 .

 .

٤

٤

-

-

     اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

     اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

Object  lens

Object  lens

:

:

       اﻟﻌﺪﺳﺔ اﻷﺧﻴﺮة ﻓﻰ اﻟﻤﻨﻈﺎر وﻣﻘﺎﺑﻠﺔ ﻟﻠﻘﺎﻣﺔ

       اﻟﻌﺪﺳﺔ اﻷﺧﻴﺮة ﻓﻰ اﻟﻤﻨﻈﺎر وﻣﻘﺎﺑﻠﺔ ﻟﻠﻘﺎﻣﺔ

   .

   .

٥

٥

-

-

      ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ اﻟﺮؤﻳﺔ

      ﻣﺴﻤﺎر ﺗﻮﺿﻴﺢ اﻟﺮؤﻳﺔ

 )

 )

   ﻣﺴﻤﺎر اﻟﺘﻄﺒﻴﻖ

   ﻣﺴﻤﺎر اﻟﺘﻄﺒﻴﻖ

  (

  (

Object focus screw

Object focus screw

:

:

    ﻳﻤﻜﻦ ﻣﻦ

    ﻳﻤﻜﻦ ﻣﻦ

            ﺧﻼﻟﻪ ﺗﻐﻴﻴﺮ اﻟﻤﺴﺎﻓﺔ ﺑﻴﻦ اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ واﻟﺸﻴﺌﻴﺔ ﻟﺘﻮﺿﻴﺢ ﺻﻮرة اﻟﻬﺪ

            ﺧﻼﻟﻪ ﺗﻐﻴﻴﺮ اﻟﻤﺴﺎﻓﺔ ﺑﻴﻦ اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ واﻟﺸﻴﺌﻴﺔ ﻟﺘﻮﺿﻴﺢ ﺻﻮرة اﻟﻬﺪ

 ف ﺗﺒﻌﺎ

 ف ﺗﺒﻌﺎ

 ﻟﻘﻮة إﺑﺼﺎر اﻟﺮاﺻﺪ

 ﻟﻘﻮة إﺑﺼﺎر اﻟﺮاﺻﺪ

.

.

٦

٦

-

-

       ﻣﺴﻤﺎر اﻟﺤﺮآﺔ اﻷﻓﻘﻴﺔ

       ﻣﺴﻤﺎر اﻟﺤﺮآﺔ اﻷﻓﻘﻴﺔ

Horizontal tangent screw

Horizontal tangent screw

:

:

       ﻳﺴﺘﺨﺪم ﻟﻤﺴﺎﻋﺪة

       ﻳﺴﺘﺨﺪم ﻟﻤﺴﺎﻋﺪة

     اﻟﺮاﺻﺪ ﻓﻰ ﺗﺤﺮﻳﻚ اﻟﻤﻴﺰان أﻓﻘﻴﺎ ﻟﻀﺒﻂ اﻟﺸﻌﺮة اﻟﺮأﺳﻴﺔ ﻋﻠﻰ اﻟﻘﺎﻣﺔ

     اﻟﺮاﺻﺪ ﻓﻰ ﺗﺤﺮﻳﻚ اﻟﻤﻴﺰان أﻓﻘﻴﺎ ﻟﻀﺒﻂ اﻟﺸﻌﺮة اﻟﺮأﺳﻴﺔ ﻋﻠﻰ اﻟﻘﺎﻣﺔ

 ،

 ،

   وﻳﻜﻮن ﻣﺜﺒﺘﺎ

   وﻳﻜﻮن ﻣﺜﺒﺘﺎ

   ﻋﻠﻰ اﻟﺠﺴﻢ اﻟﺨﺎرج ﻟﻠﻤﻨﻈﺎر

   ﻋﻠﻰ اﻟﺠﺴﻢ اﻟﺨﺎرج ﻟﻠﻤﻨﻈﺎر

 .

 .


background image

٨٢

٨٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٧

٧

-

-

          ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ أو اﻟﺪاﺋﺮى

          ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ أو اﻟﺪاﺋﺮى

Linear (tube) or circular level

Linear (tube) or circular level

:

:

 

 

                  ﻳﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻟﺠﻬﺎز وﺧﻂ اﻟﻨﻈﺮ وﺗﻜﻮﻳﻦ ﻣﺴﺘﻮى أﻓﻘﻰ وهﻤﻰ ﻋﻤﻮدى

                  ﻳﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻟﺠﻬﺎز وﺧﻂ اﻟﻨﻈﺮ وﺗﻜﻮﻳﻦ ﻣﺴﺘﻮى أﻓﻘﻰ وهﻤﻰ ﻋﻤﻮدى

 ﻋﻠﻰ

 ﻋﻠﻰ

     ﺧﻂ ﺗﺴﺎﻣﺖ اﻟﺮاﺻﺪ

     ﺧﻂ ﺗﺴﺎﻣﺖ اﻟﺮاﺻﺪ

 ،

 ،

             وﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻣﺎ ان ﻳﻜﻮن ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ او داﺋﺮى

             وﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻣﺎ ان ﻳﻜﻮن ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ او داﺋﺮى

         وآﺬﻟﻚ اﻣﺎ ان ﻳﻜﻮن داﺧﻠﻰ او ﺧﺎرﺟﻰ

         وآﺬﻟﻚ اﻣﺎ ان ﻳﻜﻮن داﺧﻠﻰ او ﺧﺎرﺟﻰ

.

.

٨

٨

-

-

   اﻟﺪاﺋﺮة اﻷﻓﻘﻴﺔ

   اﻟﺪاﺋﺮة اﻷﻓﻘﻴﺔ

Horizontal circle

Horizontal circle

:

:

         ﻋﺒﺎرة ﻋﻦ ﻣﻨﻘﻠﺔ ﻣﺪرﺟﺔ اﻟﻰ درﺟﺎت أو

         ﻋﺒﺎرة ﻋﻦ ﻣﻨﻘﻠﺔ ﻣﺪرﺟﺔ اﻟﻰ درﺟﺎت أو

 آﺴﻮرهﺎ

 آﺴﻮرهﺎ

 ،

 ،

              وﻳﺰود اﻟﻤﻴﺰان ﺑﺪاﺋﺮة ﺧﺎرﺟﻴﺔ أو داﺧﻠﻴﺔ أو ﻏﻴﺮ ﻣﺰود ﺑﺪاﺋﺮة أﻓﻘﻴﺔ

              وﻳﺰود اﻟﻤﻴﺰان ﺑﺪاﺋﺮة ﺧﺎرﺟﻴﺔ أو داﺧﻠﻴﺔ أو ﻏﻴﺮ ﻣﺰود ﺑﺪاﺋﺮة أﻓﻘﻴﺔ

 .

 .

٩

٩

-

-

      ﻣﺠﻤﻮﻋﺔ ﺿﺒﻂ اﻷﻓﻘﻴﺔ

      ﻣﺠﻤﻮﻋﺔ ﺿﺒﻂ اﻷﻓﻘﻴﺔ

leveling head

leveling head

:

:

      وهﻰ ﻋﺒﺎرة ﻋﻦ ﻟﻮﺣﻴﻦ ﻣﻌﺪﻧﻴﻦ داﺋﺮﻳﻴﻦ

      وهﻰ ﻋﺒﺎرة ﻋﻦ ﻟﻮﺣﻴﻦ ﻣﻌﺪﻧﻴﻦ داﺋﺮﻳﻴﻦ

         وﻣﺘﻮازﻳﻴﻦ وﺑﻴﻨﻬﻤﺎ ﺛﻼﺛﺔ أو ارﺑﻌﺔ ﻣﺴﺎﻣﻴﺮ ﻟﻠﺘﺴﻮﻳﺔ

         وﻣﺘﻮازﻳﻴﻦ وﺑﻴﻨﻬﻤﺎ ﺛﻼﺛﺔ أو ارﺑﻌﺔ ﻣﺴﺎﻣﻴﺮ ﻟﻠﺘﺴﻮﻳﺔ

 ا

 ا

-

-

 

 

اﻟﺘﺮاﻳﺒﺮاخ

اﻟﺘﺮاﻳﺒﺮاخ

  

  

Tribrach

Tribrach

:

:

         ﻋﺒﺎرة ﻋﻦ ﻟﻮح ﻣﻌﺪﻧﻰ داﺋﺮي ﻣﺜﺒﺖ ﻋﻠﻴﻪ اﻟﻤﻨﻈﺎر وآﺬﻟﻚ

         ﻋﺒﺎرة ﻋﻦ ﻟﻮح ﻣﻌﺪﻧﻰ داﺋﺮي ﻣﺜﺒﺖ ﻋﻠﻴﻪ اﻟﻤﻨﻈﺎر وآﺬﻟﻚ

   ﻣﺴﺎﻣﻴﺮ اﻟﺤﺮآﺔ اﻷﻓﻘﻴﺔ

   ﻣﺴﺎﻣﻴﺮ اﻟﺤﺮآﺔ اﻷﻓﻘﻴﺔ

.

.

ب

ب

-

-

     ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

     ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

leveling or Foot screw

leveling or Foot screw

:

:

     ﻋﺎدة ﺗﺘﻜﻮن ﻣﻦ

     ﻋﺎدة ﺗﺘﻜﻮن ﻣﻦ

٣

٣

   ﻣﺴﺎﻣﻴﺮ

   ﻣﺴﺎﻣﻴﺮ

                      ﺗﺘﺤﺮك ﺣﻮل ﻣﺤﻮر رأﺳﻰ وذﻟﻚ ﺑﻬﺪف أﻋﻤﺎل اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ ﻟﻠﻤﻴﺰان

                      ﺗﺘﺤﺮك ﺣﻮل ﻣﺤﻮر رأﺳﻰ وذﻟﻚ ﺑﻬﺪف أﻋﻤﺎل اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ ﻟﻠﻤﻴﺰان

)

)

   ﺿﺒﻂ أﻓﻘﻴﺔ

   ﺿﺒﻂ أﻓﻘﻴﺔ

 اﻟﻤﻴﺰان

 اﻟﻤﻴﺰان

.(

.(

 ـﺟ

 ـﺟ

  

  

-

-

       ﻗﺎﻋﺪة اﻟﻤﻴﺰان

       ﻗﺎﻋﺪة اﻟﻤﻴﺰان

 )

 )

Base (Trivet

Base (Trivet

:

:

        ﻋﺒﺎرة ﻋﻦ ﻟﻮح ﻣﻌﺪﻧﻲ داﺋﺮى ﻳﺴﺘﺨﺪم ﻟﺮﺑﻂ

        ﻋﺒﺎرة ﻋﻦ ﻟﻮح ﻣﻌﺪﻧﻲ داﺋﺮى ﻳﺴﺘﺨﺪم ﻟﺮﺑﻂ

  اﻟﻤﻴﺰان ﺑﺎﻟﺤﺎﻣﻞ

  اﻟﻤﻴﺰان ﺑﺎﻟﺤﺎﻣﻞ

 .

 .


background image

٩٢

٩٢

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

           اﻟﻤﺤﺎور اﻟﺮﺋﻴﺴﻴﺔ ﻟﻠﻤﻴﺰان

           اﻟﻤﺤﺎور اﻟﺮﺋﻴﺴﻴﺔ ﻟﻠﻤﻴﺰان

        ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

        ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

Line of sight

Line of sight

:

:

             هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻧﻘﻄﺔ ﺗﻘﺎﻃﻊ ﺣﺎﻣﻞ اﻟﺸﻌﺮات

             هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻧﻘﻄﺔ ﺗﻘﺎﻃﻊ ﺣﺎﻣﻞ اﻟﺸﻌﺮات

                         وﻣﺮآﺰ اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

                         وﻣﺮآﺰ اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

.

.

     اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

     اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

Line of collimation

Line of collimation

:

:

          هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻣﺮآﺰى اﻟﻌﺪﺳﺘﻴﻦ

          هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻣﺮآﺰى اﻟﻌﺪﺳﺘﻴﻦ

                      اﻟﻌﻴﻨﻴﺔ واﻟﺸﻴﺌﻴﺔ

                      اﻟﻌﻴﻨﻴﺔ واﻟﺸﻴﺌﻴﺔ

 .

 .

     اﻟﻤﺤﻮر اﻟﺮأﺳﻰ

     اﻟﻤﺤﻮر اﻟﺮأﺳﻰ

:

:

            هﻮ اﻟﻤﺤﻮر اﻟﻌﻤﻮدى ﻋﻠﻰ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

            هﻮ اﻟﻤﺤﻮر اﻟﻌﻤﻮدى ﻋﻠﻰ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

.

.

    ﻣﻠﺤﻮﻇﺔ

    ﻣﻠﺤﻮﻇﺔ

 :

 :

 *

 *

     ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻤﻮازﻳﻦ اﻟﻤﺰودة

     ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻤﻮازﻳﻦ اﻟﻤﺰودة

    ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

    ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

 : 

 : 

       ﻳﻜﻮن ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

       ﻳﻜﻮن ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

                               اﻟﻄﻮﻟﻰ هﻮ اﻟﻤﺤﻮر اﻷﻓﻘﻰ اﻟﻤﻮازى ﻟﻠﻤﺤﻮر اﻟﻀﻮﺋﻰ

                               اﻟﻄﻮﻟﻰ هﻮ اﻟﻤﺤﻮر اﻷﻓﻘﻰ اﻟﻤﻮازى ﻟﻠﻤﺤﻮر اﻟﻀﻮﺋﻰ

 ﻟﻠﻤﻴﺰان

 ﻟﻠﻤﻴﺰان

 .

 .

 *

 *

     ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻤﻮازﻳﻦ اﻟﻤﺰودة

     ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻤﻮازﻳﻦ اﻟﻤﺰودة

    ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى

    ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى

 :

 :

       ﻳﻜﻮن ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

       ﻳﻜﻮن ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

                               اﻟﺪاﺋﺮى هﻮ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ اﻟﻤﻮازى ﻟﻠﻤﺤﻮر اﻟﺮأﺳﻰ

                               اﻟﺪاﺋﺮى هﻮ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ اﻟﻤﻮازى ﻟﻠﻤﺤﻮر اﻟﺮأﺳﻰ

   ﻟﻠﻤﻴﺰان

   ﻟﻠﻤﻴﺰان

)                  

)                  

           اﻟﻤﺤﻮر اﻟﻌﻤﻮدى ﻋﻠﻰ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

           اﻟﻤﺤﻮر اﻟﻌﻤﻮدى ﻋﻠﻰ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

.(

.(


background image

٠٣

٠٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   أﺷﻜﺎل ﻣﻮازﻳﻦ اﻟﺘﺴﻮﻳﺔ

   أﺷﻜﺎل ﻣﻮازﻳﻦ اﻟﺘﺴﻮﻳﺔ

       ﻣﻴﺰان ﻣﺰود ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

       ﻣﻴﺰان ﻣﺰود ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

      ﻣﻴﺰان ﻣﺰود ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى

      ﻣﻴﺰان ﻣﺰود ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى


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١٣

١٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

          اﻟﺘﺮآﻴﺐ اﻟﺨﺎرﺟﻰ ﻟﻠﻤﻴﺰان ﻣﻦ آﻼ اﻟﺠﺎﻧﺒﻴﻦ

          اﻟﺘﺮآﻴﺐ اﻟﺨﺎرﺟﻰ ﻟﻠﻤﻴﺰان ﻣﻦ آﻼ اﻟﺠﺎﻧﺒﻴﻦ


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٢٣

٢٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

اﻟﻤﻨﻈﺎر

اﻟﻤﻨﻈﺎر

  ﺣﺎﻣﻞ اﻟﺸﻌﺮات

  ﺣﺎﻣﻞ اﻟﺸﻌﺮات

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

  اﻟﻌﺪﺳﺔ اﻟﻌﻴﻨﻴﺔ

   ﺧﻂ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

   ﺧﻂ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

   ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

   ﻣﺴﺎﻣﻴﺮ اﻟﺘﺴﻮﻳﺔ

   اﻟﺤﺎﻣﻞ اﻟﺜﻼﺛﻰ

   اﻟﺤﺎﻣﻞ اﻟﺜﻼﺛﻰ

 اﻟﻌﺪﺳﺔ

 اﻟﻌﺪﺳﺔ

  اﻟﺸﺒﺌﻴﺔ

  اﻟﺸﺒﺌﻴﺔ

ﻈﺎر

ﻤﻨ

 ﻟﻠ

اﻟﺮأﺳﻰ

 ﻮر

اﻟﻤﺤ

ﻈﺎر

ﻤﻨ

 ﻟﻠ

اﻟﺮأﺳﻰ

 ﻮر

اﻟﻤﺤ

             اﺗﺠﺎﻩ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ داﺧﻞ اﻟﻤﻴﺰان

             اﺗﺠﺎﻩ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ داﺧﻞ اﻟﻤﻴﺰان

  

  

ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

 ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

 ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

 :

 :

          هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻧﻘﻄﺔ ﺗﻘﺎﻃﻊ ﺣﺎﻣﻞ اﻟﺸﻌﺮات وﻣﺮآﺰ اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

          هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻧﻘﻄﺔ ﺗﻘﺎﻃﻊ ﺣﺎﻣﻞ اﻟﺸﻌﺮات وﻣﺮآﺰ اﻟﻌﺪﺳﺔ اﻟﺸﻴﺌﻴﺔ

   ﺧﻂ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

   ﺧﻂ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

 :

 :

           هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻣﺮآﺰى اﻟﻌﺪﺳﺘﻴﻦ اﻟﻌﻴﻨﻴﺔ واﻟﺸﻴﺌﻴﺔ

           هﻮ اﻟﺨﻂ اﻟﻮاﺻﻞ ﺑﻴﻦ ﻣﺮآﺰى اﻟﻌﺪﺳﺘﻴﻦ اﻟﻌﻴﻨﻴﺔ واﻟﺸﻴﺌﻴﺔ


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٣٣

٣٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                    اﺗﺠﺎﻩ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ اﻟﻤﻴﺰان اﻷوﺗﻮﻣﺎﺗﻴﻜﻰ

                    اﺗﺠﺎﻩ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ اﻟﻤﻴﺰان اﻷوﺗﻮﻣﺎﺗﻴﻜﻰ

compensator

خ

o

ﺧﻂ اﻟﻨﻈﺮ

ﺧﻂ اﻟﻨﻈﺮ


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٤٣

٤٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                       ﻗﻄﺎع  ﻳﻮﺿﺢ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ ﻣﻴﺰان أوﺗﻮﻣﺎﺗﻴﻜﻰ

                       ﻗﻄﺎع  ﻳﻮﺿﺢ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ ﻣﻴﺰان أوﺗﻮﻣﺎﺗﻴﻜﻰ

          ذات داﺋﺮة أﻓﻘﻴﺔ داﺧﻠﻴﺔ

          ذات داﺋﺮة أﻓﻘﻴﺔ داﺧﻠﻴﺔ


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٥٣

٥٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                       ﻗﻄﺎع  ﻳﻮﺿﺢ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ ﻣﻴﺰان أوﺗﻮﻣﺎﺗﻴﻜﻰ

                       ﻗﻄﺎع  ﻳﻮﺿﺢ ﻣﺴﺎر ﺧﻂ اﻟﻨﻈﺮ ﻓﻰ ﻣﻴﺰان أوﺗﻮﻣﺎﺗﻴﻜﻰ

          ذات داﺋﺮة أﻓﻘﻴﺔ ﺧﺎرﺟﻴﺔ

          ذات داﺋﺮة أﻓﻘﻴﺔ ﺧﺎرﺟﻴﺔ


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٦٣

٦٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

       اﻟﻔﺼﻞ اﻟﺜﺎﻟﺚ

       اﻟﻔﺼﻞ اﻟﺜﺎﻟﺚ

        اﻟﻨﻈﺮﻳﺔ اﻷﺳﺎﺳﻴﺔ ﻷﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

        اﻟﻨﻈﺮﻳﺔ اﻷﺳﺎﺳﻴﺔ ﻷﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ


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٧٣

٧٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                   ﺑﻌﺾ اﻟﺘﻌﺮﻳﻔﺎت اﻷﺳﺎﺳﻴﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

                   ﺑﻌﺾ اﻟﺘﻌﺮﻳﻔﺎت اﻷﺳﺎﺳﻴﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

      ﻣﺴﺘﻮى ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ

      ﻣﺴﺘﻮى ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ

Datum 

Datum 

:

:

         هﻮ ﻣﺴﺘﻮى ﺳﻄﺢ أﻓﻘﻰ ﻳﺴﺘﺨﺪم ﻟﻤﻘﺎرﻧﺔ ﻣﻨﺎﺳﻴﺐ

         هﻮ ﻣﺴﺘﻮى ﺳﻄﺢ أﻓﻘﻰ ﻳﺴﺘﺨﺪم ﻟﻤﻘﺎرﻧﺔ ﻣﻨﺎﺳﻴﺐ

                    اﻟﻨﻘﻂ اﻟﻤﺴﺎﺣﻴﺔ وﻋﺎدة ﻣﺎ ﻳﺆﺧﺬ هﻮ اﻟﻤﻨﺴﻮب اﻟﻤﺘﻮﺳﻂ ﻟﺴﻄﺢ اﻟﺒﺤﺮ ﻋﻠﻰ ﻣ

                    اﻟﻨﻘﻂ اﻟﻤﺴﺎﺣﻴﺔ وﻋﺎدة ﻣﺎ ﻳﺆﺧﺬ هﻮ اﻟﻤﻨﺴﻮب اﻟﻤﺘﻮﺳﻂ ﻟﺴﻄﺢ اﻟﺒﺤﺮ ﻋﻠﻰ ﻣ

 ﺪار

 ﺪار

 اﻟﻌﺎم

 اﻟﻌﺎم

(Mean Sea Level MSL)

(Mean Sea Level MSL)

       ﻣﺴﺘﻮى ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ اﻟﻤﺤﻠﻰ

       ﻣﺴﺘﻮى ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ اﻟﻤﺤﻠﻰ

)

)

اﻹﻓﺘﺮاﺿﻰ

اﻹﻓﺘﺮاﺿﻰ

 (

 (

Local Datum

Local Datum

:

:

  ﻋﻨﺪ ﺗﻨﻔﻴﺬ اﻟﻤﺸﺎرﻳﻊ

  ﻋﻨﺪ ﺗﻨﻔﻴﺬ اﻟﻤﺸﺎرﻳﻊ

                 اﻟﻬﻨﺪﺳﻴﺔ اﻟﻤﺤﺪودة ﻳﺆﺧﺬ ﻋﺎدة ﻣﺴﺘﻮى ﻣﻘﺎرﻧﺔ ﻣﺤﻠﻰ

                 اﻟﻬﻨﺪﺳﻴﺔ اﻟﻤﺤﺪودة ﻳﺆﺧﺬ ﻋﺎدة ﻣﺴﺘﻮى ﻣﻘﺎرﻧﺔ ﻣﺤﻠﻰ

)

)

اﻓﺘﺮاﺿﻰ

اﻓﺘﺮاﺿﻰ

 (

 (

    وﻳﺄﺧﺬ اﻟﻘﻴﻤﺔ

    وﻳﺄﺧﺬ اﻟﻘﻴﻤﺔ

+

+

٠١

٠١

  ﻣﺘﺮ أو

  ﻣﺘﺮ أو

+

+

٠٠١

٠٠١

      ﻣﺘﺮ أو أى رﻗﻢ اﻓﺘﺮاﺿﻰ ﺁﺧﺮ

      ﻣﺘﺮ أو أى رﻗﻢ اﻓﺘﺮاﺿﻰ ﺁﺧﺮ

 .

 .

    اﻟﺨﻂ اﻟﺮأﺳﻰ

    اﻟﺨﻂ اﻟﺮأﺳﻰ

Vertical line

Vertical line

          هﻮ اﺗﺠﺎﻩ ﺧﻴﻂ اﻟﺸﺎﻏﻮل

          هﻮ اﺗﺠﺎﻩ ﺧﻴﻂ اﻟﺸﺎﻏﻮل

)

)

   اﺗﺠﺎﻩ اﻟﺠﺎذﺑﻴﺔ

   اﺗﺠﺎﻩ اﻟﺠﺎذﺑﻴﺔ

 (

 (

       ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

       ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

:

:

              هﻮ ﻣﻨﺴﻮب اﻟﻤﺴﺘﻮى اﻷﻓﻘﻰ اﻟﻌﻤﻮدى ﻋﻠﻰ ﺧﻂ ﺗﺴﺎﻣﺖ

              هﻮ ﻣﻨﺴﻮب اﻟﻤﺴﺘﻮى اﻷﻓﻘﻰ اﻟﻌﻤﻮدى ﻋﻠﻰ ﺧﻂ ﺗﺴﺎﻣﺖ

  اﻟﺮاﺻﺪ

  اﻟﺮاﺻﺪ

 )

 )

     ﺧﻂ اﺗﺠﺎﻩ اﻟﺠﺎذﺑﻴﺔ

     ﺧﻂ اﺗﺠﺎﻩ اﻟﺠﺎذﺑﻴﺔ

 (

 (

      وذﻟﻚ ﺑﺎﻟﻨﺴﺒﺔ ﻟﻤﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ

      وذﻟﻚ ﺑﺎﻟﻨﺴﺒﺔ ﻟﻤﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ

.

.

     اﻟﻤﻨﺴﻮب او اﻻرﺗﻔﺎع

     اﻟﻤﻨﺴﻮب او اﻻرﺗﻔﺎع

Elevation

Elevation

:

:

        هﻮ ﻣﻘﺪار ارﺗﻔﺎع او اﻧﺨﻔﺎض اﻟﻨﻘﻄﺔ ﻋﻦ

        هﻮ ﻣﻘﺪار ارﺗﻔﺎع او اﻧﺨﻔﺎض اﻟﻨﻘﻄﺔ ﻋﻦ

  ﻣﺴﺘﻮى اﻟﻤﻘﺎرﻧﺔ

  ﻣﺴﺘﻮى اﻟﻤﻘﺎرﻧﺔ

 .

 .


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٨٣

٨٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

 ﺗﺎﺑﻊ

 ﺗﺎﺑﻊ

  “

  “

                 اﻟﺘﻌﺮﻳﻔﺎت اﻷﺳﺎﺳﻴﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

                 اﻟﺘﻌﺮﻳﻔﺎت اﻷﺳﺎﺳﻴﺔ ﻓﻰ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

اﻟﺮوﺑﻴﺮ

اﻟﺮوﺑﻴﺮ

(Bench Mark BM)

(Bench Mark BM)

:

:

            هﻮ ﻧﻘﻄﺔ ﻃﺒﻴﻌﻴﺔ او ﺻﻨﺎﻋﻴﺔ ﻣﻌﻠﻮﻣﺔ أو ﻣﻔﺮوﺿﺔ

            هﻮ ﻧﻘﻄﺔ ﻃﺒﻴﻌﻴﺔ او ﺻﻨﺎﻋﻴﺔ ﻣﻌﻠﻮﻣﺔ أو ﻣﻔﺮوﺿﺔ

      اﻟﻤﻨﺴﻮب ﺑﺎﻟﻨﺴﺒﺔ ﻟﻤﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ

      اﻟﻤﻨﺴﻮب ﺑﺎﻟﻨﺴﺒﺔ ﻟﻤﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻘﺎرﻧﺔ

 ،

 ،

          وﻳﺠﺐ ﺗﺜﺒﻴﺘﻬﺎ ﻃﻮال ﻓﺘﺮة ﺗﻨﻔﻴﺬ اﻟﻤﺸﺮوع

          وﻳﺠﺐ ﺗﺜﺒﻴﺘﻬﺎ ﻃﻮال ﻓﺘﺮة ﺗﻨﻔﻴﺬ اﻟﻤﺸﺮوع

.

.

      ﻓﺮق اﻟﻤﻨﺴﻮب

      ﻓﺮق اﻟﻤﻨﺴﻮب

(level difference)

(level difference)

:

:

      هﻮ ﻣﻘﺪار ﻓﺮق اﻻرﺗﻔﺎع ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻣﺴﺎﺣﻴﺘﻴﻦ

      هﻮ ﻣﻘﺪار ﻓﺮق اﻻرﺗﻔﺎع ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻣﺴﺎﺣﻴﺘﻴﻦ

.

.

       ﻗﺮاءة اﻟﻤﺆﺧﺮة

       ﻗﺮاءة اﻟﻤﺆﺧﺮة

(Back Sight BS)

(Back Sight BS)

:

:

       هﻰ أول ﻗﺮاءة ﻟﻠﻘﺎﻣﺔ ﺑﻌﺪ ﺗﺜﺒﻴﺖ اﻟﻤﻴﺰان ﻓﻰ وﺿﻊ

       هﻰ أول ﻗﺮاءة ﻟﻠﻘﺎﻣﺔ ﺑﻌﺪ ﺗﺜﺒﻴﺖ اﻟﻤﻴﺰان ﻓﻰ وﺿﻊ

 ﺟﺪﻳﺪ

 ﺟﺪﻳﺪ

 .

 .

     ﻗﺮاءة اﻟﻤﻘﺪﻣﺔ

     ﻗﺮاءة اﻟﻤﻘﺪﻣﺔ

(Foresight FS)

(Foresight FS)

:

:

       هﻰ ﺁﺧﺮ ﻗﺮاءة ﻟﻠﻘﺎﻣﺔ ﻗﺒﻞ ﻧﻘﻞ اﻟﻤﻴﺰان

       هﻰ ﺁﺧﺮ ﻗﺮاءة ﻟﻠﻘﺎﻣﺔ ﻗﺒﻞ ﻧﻘﻞ اﻟﻤﻴﺰان

 .

 .

       ﻗﺮاءة اﻟﻤﺘﻮﺳﻄﺔ

       ﻗﺮاءة اﻟﻤﺘﻮﺳﻄﺔ

(Intermediate sight IS)

(Intermediate sight IS)

:

:

     هﻰ اﻟﻘﺮاءة اﻟﻤﺤﺼﻮرة ﺑﻴﻦ اﻟﻤﻘﺪﻣﺔ

     هﻰ اﻟﻘﺮاءة اﻟﻤﺤﺼﻮرة ﺑﻴﻦ اﻟﻤﻘﺪﻣﺔ

    واﻟﻤﺆﺧﺮة

    واﻟﻤﺆﺧﺮة

.

.

     ﻧﻘﻄﺔ اﻟﺪوران

     ﻧﻘﻄﺔ اﻟﺪوران

(Change Point CP)

(Change Point CP)

:

:

         هﻰ اﻟﻨﻘﻄﺔ اﻟﺘﻰ ﻳﺘﻢ ﻋﻨﺪهﺎ ﻧﻘﻞ اﻟﻤﻴﺰان ﺣﻴﺚ

         هﻰ اﻟﻨﻘﻄﺔ اﻟﺘﻰ ﻳﺘﻢ ﻋﻨﺪهﺎ ﻧﻘﻞ اﻟﻤﻴﺰان ﺣﻴﺚ

            ﻳﺪون ﻋﻨﺪهﺎ ﻗﺮاءة أﻣﺎﻣﻴﺔ ﻟﻠﻮﺿﻊ اﻷول وﻗﺮاءة ﺧﻠﻔﻴﺔ ﻟﻠﻮﺿﻊ اﻟﺘﺎﻟﻰ

            ﻳﺪون ﻋﻨﺪهﺎ ﻗﺮاءة أﻣﺎﻣﻴﺔ ﻟﻠﻮﺿﻊ اﻷول وﻗﺮاءة ﺧﻠﻔﻴﺔ ﻟﻠﻮﺿﻊ اﻟﺘﺎﻟﻰ

.

.


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٩٣

٩٣

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

ﻣﻠﺤﻮﻇﺔ

 :

              ﻳﻮﺿﻊ اﻟﻤﻴﺰان ﺗﻘﺮﻳﺒﺎ ﻓﻰ ﻣﻨﺘﺼﻒ اﻟﻤﺴﺎﻓﺔ ﺑﻴﻦ اﻟﻘﺎﻣﺘﻴﻦ

B

 

S     اﻟﻤﺆﺧﺮة

FS   اﻟﻤﻘﺪﻣﺔ

3.42

BM A

(+10.00)

B

B

 

S     اﻟﻤﺆﺧﺮة

FS   اﻟﻤﻘﺪﻣﺔ

3.42

0.80

BM A

(+10.00)

B

         ﻓﺮق اﻟﻤﻨﺴﻮب ﺑﻴﻦ اﻟﻨﻘﻄﺘﻴﻦ

A, B

 = 

       ﻗﺮاءة اﻟﻤﺆﺧﺮة

BS

    ﻋﻨﺪ

A

 

       ﻗﺮاءة اﻟﻤﻘﺪﻣﺔ

FS

     ﻋﻨﺪ

B

 

 =

٢٤٫٣

 

 

٨٫٠

 =  

٢٦٫٢

 ﻣﺘﺮ

    ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

B

 =

     ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

   اﻟﺮوﺑﻴﺮ

BM

 + (

   ﻓﺮق اﻟﻤﻨﺴﻮب ﺑﻴﻦ

 

A, B

 =

٠٫٠١

 + 

٢٦٫٢

 = 

٢٦٫٢١

ﻣﺘﺮ

   اﻟﻨﻈﺮﻳﺔ اﻷﺳﺎﺳﻴﺔ ﻟﻠﻤﻴﺰاﻧﻴﺔ

   اﻟﻨﻈﺮﻳﺔ اﻷﺳﺎﺳﻴﺔ ﻟﻠﻤﻴﺰاﻧﻴﺔ


background image

٠٤

٠٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

  ﻧﻘﻄﺔ ﻣﻌﻠﻮﻣﺔ

  ﻧﻘﻄﺔ ﻣﻌﻠﻮﻣﺔ

 

 

 اﻟﻤﻨﺴﻮب

 اﻟﻤﻨﺴﻮب

  ﻗﺮاءة اﻟﻘﺎﻣﺔ

  ﻗﺮاءة اﻟﻘﺎﻣﺔ

 ﻋﻨﺪ

 ﻋﻨﺪ

B

B

 ﻗﺮاءة اﻟﻘﺎﻣﺔ

 ﻗﺮاءة اﻟﻘﺎﻣﺔ

  ﻋﻨﺪ

  ﻋﻨﺪ

A

A

  ﻧﻘﻄﺔ ﻣﺠﻬﻮﻟﺔ

  ﻧﻘﻄﺔ ﻣﺠﻬﻮﻟﺔ

 

 

 اﻟﻤﻨﺴﻮب

 اﻟﻤﻨﺴﻮب

A

A

B

B

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

        اﻟﺴﻄﺢ اﻟﻮهﻤﻰ اﻷﻓﻘﻰ

        اﻟﺴﻄﺢ اﻟﻮهﻤﻰ اﻷﻓﻘﻰ

 

 

    ﻳﻤﺜﻞ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻳﻤﺜﻞ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان


background image

١٤

١٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

        ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان ﻓﻰ اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ

        ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان ﻓﻰ اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ

      ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان ﻓﻰ اﻟﻮﺿﻊ اﻷول

      ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان ﻓﻰ اﻟﻮﺿﻊ اﻷول

A

A

C

C

E

E

D

D

F

F

B

B

ﻣﻘﺪﻣﺔ

ﻣﻘﺪﻣﺔ

ﻣﺆﺧﺮة

ﻣﺆﺧﺮة

ﻣﺘﻮﺳﻄﺔ

ﻣﺘﻮﺳﻄﺔ

 ان

دور

 ﻧﻘﻄﺔ

 ان

دور

 ﻧﻘﻄﺔ

ﻣﺆﺧﺮة

ﻣﺆﺧﺮة

ﻣﻘﺪﻣﺔ

ﻣﻘﺪﻣﺔ

ﻣﺘﻮﺳﻄﺔ

ﻣﺘﻮﺳﻄﺔ

    اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

    اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

      اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

      اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

BM

BM

      اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

      اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

           آﻴﻔﻴﺔ إﺟﺮاء ﺳﻴﺮ اﻟﻤﻴﺰاﻧﻴﺔ

           آﻴﻔﻴﺔ إﺟﺮاء ﺳﻴﺮ اﻟﻤﻴﺰاﻧﻴﺔ

leveling operation

leveling operation


background image

٢٤

٢٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

         اﻟﻔﺼﻞ اﻟﺮاﺑﻊ

         اﻟﻔﺼﻞ اﻟﺮاﺑﻊ

      اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ

      اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ

)

)

       اﻟﺘﺜﺒﻴﺖ واﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ واﻟﺮﺻﺪ

       اﻟﺘﺜﺒﻴﺖ واﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ واﻟﺮﺻﺪ

(

(


background image

٣٤

٣٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

         اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ

         اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ

Field work

Field work

١

١

-

-

      أﻋﻤﺎل ﺗﺜﺒﻴﺖ اﻟﺠﻬﺎز

      أﻋﻤﺎل ﺗﺜﺒﻴﺖ اﻟﺠﻬﺎز

:

:


background image

٤٤

٤٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

      آﻴﻔﻴﺔ ﺗﺜﺒﻴﺖ اﻟﺤﺎﻣﻞ

      آﻴﻔﻴﺔ ﺗﺜﺒﻴﺖ اﻟﺤﺎﻣﻞ

  

  

-

-

             ﻳﺘﻢ ﻓﺘﺢ أرﺟﻞ اﻟﺤﺎﻣﻞ ﻟﻴﺼﻞ اﻟﻰ ﻣﻨﺴﻮب ﺧﻂ ﻧﻈﺮ اﻟﺮاﺻﺪ

             ﻳﺘﻢ ﻓﺘﺢ أرﺟﻞ اﻟﺤﺎﻣﻞ ﻟﻴﺼﻞ اﻟﻰ ﻣﻨﺴﻮب ﺧﻂ ﻧﻈﺮ اﻟﺮاﺻﺪ

.

.

        ﻳﺘﻢ إﺣﻜﺎم ﻏﻠﻖ أرﺟﻞ اﻟﺤﺎﻣﻞ

        ﻳﺘﻢ إﺣﻜﺎم ﻏﻠﻖ أرﺟﻞ اﻟﺤﺎﻣﻞ

 .

 .

-

-

         ﻳﺜﺒﺖ اﻟﺤﺎﻣﻞ ﺑﺤﻴﺚ أن ﺗﻜﻮن ﻗﺎﻋﺪﺗﻪ ﻓﻰ وﺿﻊ أﻓﻘﻰ ﺗﻘﺮﻳﺒﺎ

         ﻳﺜﺒﺖ اﻟﺤﺎﻣﻞ ﺑﺤﻴﺚ أن ﺗﻜﻮن ﻗﺎﻋﺪﺗﻪ ﻓﻰ وﺿﻊ أﻓﻘﻰ ﺗﻘﺮﻳﺒﺎ

.

.

-

-

            ﻳﺘﻢ ﻏﺮس أرﺟﻞ اﻟﺤﺎﻣﻞ ﺟﻴﺪا ﻓﻰ اﻷرض اﻟﻄﺒﻴﻌﻴﺔ

            ﻳﺘﻢ ﻏﺮس أرﺟﻞ اﻟﺤﺎﻣﻞ ﺟﻴﺪا ﻓﻰ اﻷرض اﻟﻄﺒﻴﻌﻴﺔ

.

.


background image

٥٤

٥٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

           آﻴﻔﻴﺔ ﺗﺜﺒﻴﺖ اﻟﻤﻴﺰان ﺑﺎﻟﺤﺎﻣﻞ

           آﻴﻔﻴﺔ ﺗﺜﺒﻴﺖ اﻟﻤﻴﺰان ﺑﺎﻟﺤﺎﻣﻞ

-

-

              إﺧﺮاج اﻟﻤﻴﺰان ﻣﻦ اﻟﻌﻠﺒﺔ ووﺿﻌﻪ ﻋﻠﻰ ﻣﻨﺘﺼﻒ ﻗﺎﻋﺪة اﻟﺤﺎﻣﻞ

              إﺧﺮاج اﻟﻤﻴﺰان ﻣﻦ اﻟﻌﻠﺒﺔ ووﺿﻌﻪ ﻋﻠﻰ ﻣﻨﺘﺼﻒ ﻗﺎﻋﺪة اﻟﺤﺎﻣﻞ

 .

 .

-

-

             ﻳﺘﻢ ﺗﺜﺒﻴﺖ اﻟﻤﻴﺰان ﺟﻴﺪا ﺑﺎﻟﺤﺎﻣﻞ ﻣﻦ ﺧﻼل ﻣﺴﻤﺎر اﻟﺮﺑﻂ

             ﻳﺘﻢ ﺗﺜﺒﻴﺖ اﻟﻤﻴﺰان ﺟﻴﺪا ﺑﺎﻟﺤﺎﻣﻞ ﻣﻦ ﺧﻼل ﻣﺴﻤﺎر اﻟﺮﺑﻂ

   .

   .


background image

٦٤

٦٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

             اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ ﻟﻠﻤﻮازﻳﻦ ذات ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ

             اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ ﻟﻠﻤﻮازﻳﻦ ذات ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ

1

2

3

4


background image

٧٤

٧٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

             اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ ﻟﻠﻤﻮازﻳﻦ ذات ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى

             اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ ﻟﻠﻤﻮازﻳﻦ ذات ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى

1

2

3

4


background image

٨٤

٨٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

       أﻋﻤﺎل اﻟﺘﻮﺟﻴﻪ وﻗﺮاءة اﻟﻘﺎﻣﺔ

       أﻋﻤﺎل اﻟﺘﻮﺟﻴﻪ وﻗﺮاءة اﻟﻘﺎﻣﺔ

Reading the Rod

Reading the Rod


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٩٤

٩٤

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

      ﺧﻄﻮات اﻟﺮﺻﺪ ﻋﻠﻰ اﻟﻘﺎﻣﺔ

      ﺧﻄﻮات اﻟﺮﺻﺪ ﻋﻠﻰ اﻟﻘﺎﻣﺔ

 

 

Focusing the staff

Focusing the staff

 

 

1

2

3

4

  ﻗﺮاءة اﻟﺸﻌﺮة اﻟﻮﺳﻄﻰ

 =

٣٩٩٫٢


background image

٠٥

٠٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

    آﻴﻔﻴﺔ ﻗﺮاءة اﻟﻘﺎﻣﺔ

    آﻴﻔﻴﺔ ﻗﺮاءة اﻟﻘﺎﻣﺔ

1.100

1.110

1.120

1.130

1.133


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١٥

١٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

      ﻣﺜﺎل ﺁﺧﺮ ﻟﻘﺮاءة اﻟﻘﺎﻣﺔ

      ﻣﺜﺎل ﺁﺧﺮ ﻟﻘﺮاءة اﻟﻘﺎﻣﺔ


background image

٢٥

٢٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

            ﺗﻘﺪﻳﺮ اﻟﻤﺴﺎﻓﺔ ﺑﻴﻦ اﻟﻤﻴﺰان واﻟﻘﺎﻣﺔ

            ﺗﻘﺪﻳﺮ اﻟﻤﺴﺎﻓﺔ ﺑﻴﻦ اﻟﻤﻴﺰان واﻟﻘﺎﻣﺔ

       ﺑﺎﺳﺘﺨﺪام ﺷﻌﺮات اﻻﺳﺘﺎدﻳﺎ

       ﺑﺎﺳﺘﺨﺪام ﺷﻌﺮات اﻻﺳﺘﺎدﻳﺎ

         ﻗﺮاءة اﻟﺸﻌﺮة اﻟﺴﻔﻠﻰ

         ﻗﺮاءة اﻟﺸﻌﺮة اﻟﺴﻔﻠﻰ

  =

  =

٦٤٩٫٢

٦٤٩٫٢

 

 

      اﻟﻤﺴﺎﻓﺔ ﺑﻴﻦ اﻟﻤﻴﺰان واﻟﻘﺎﻣﺔ

      اﻟﻤﺴﺎﻓﺔ ﺑﻴﻦ اﻟﻤﻴﺰان واﻟﻘﺎﻣﺔ

)  =

)  =

٠٤٠٫٣

٠٤٠٫٣

 

 

 

 

٦٤٩٫٢

٦٤٩٫٢

 * (

 * (

٠٠١

٠٠١

 = 

 = 

٤٫٩

٤٫٩

 ﻣﺘﺮ

 ﻣﺘﺮ

         ﻗﺮاءة اﻟﺸﻌﺮة اﻟﻮﺳﻄﻰ

         ﻗﺮاءة اﻟﺸﻌﺮة اﻟﻮﺳﻄﻰ

  =

  =

٣٩٩٫٢

٣٩٩٫٢

          ﻗﺮاءة اﻟﺸﻌﺮة اﻟﻌﻠﻴﺎ

          ﻗﺮاءة اﻟﺸﻌﺮة اﻟﻌﻠﻴﺎ

   =

   =

٠٤٠٫٣

٠٤٠٫٣

  

  


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٣٥

٣٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

       اﻟﻔﺼﻞ اﻟﺨﺎﻣﺲ

       اﻟﻔﺼﻞ اﻟﺨﺎﻣﺲ

    ﻃﺮق ﺗﺪوﻳﻦ وﺣﺴﺎب اﻟﻤﻴﺰاﻧﻴﺔ

    ﻃﺮق ﺗﺪوﻳﻦ وﺣﺴﺎب اﻟﻤﻴﺰاﻧﻴﺔ


background image

٤٥

٤٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

       ﺗﻮﺟﺪ ﻃﺮﻳﻘﺘﺎن ﻟﺤﺴﺎب ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﻂ

       ﺗﻮﺟﺪ ﻃﺮﻳﻘﺘﺎن ﻟﺤﺴﺎب ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﻂ

١

١

-

-

        ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

        ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

٢

٢

-

-

  ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

  ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

     ﻓﻰ آﻞ ﻣﻦ اﻟﻄﺮﻳﻘﺘﻴﻦ

     ﻓﻰ آﻞ ﻣﻦ اﻟﻄﺮﻳﻘﺘﻴﻦ

:

:

       ا

       ا

-

-

            ﺗﺪون أرﺻﺎد اﻟﻤﻴﺰاﻧﻴﺔ ﻓﻰ اﻟﺠﺪاول اﻟﺨﺎﺻﺔ ﺑﻜﻞ ﻃﺮﻳﻘﺔ

            ﺗﺪون أرﺻﺎد اﻟﻤﻴﺰاﻧﻴﺔ ﻓﻰ اﻟﺠﺪاول اﻟﺨﺎﺻﺔ ﺑﻜﻞ ﻃﺮﻳﻘﺔ

      ب

      ب

-

-

     ﺗﺤﺴﺐ ﻣﻨﺎﺳﻴﺐ آﻞ ﻧﻘﻄﺔ

     ﺗﺤﺴﺐ ﻣﻨﺎﺳﻴﺐ آﻞ ﻧﻘﻄﺔ

   ـ     ﺟ

   ـ     ﺟ

-

-

     ﻳﺘﻢ اﺟﺮاء اﻟﺘﺤﻘﻴﻖ اﻟﺤﺴﺎﺑﻰ آﺎﻟﺘﺎﻟﻰ

     ﻳﺘﻢ اﺟﺮاء اﻟﺘﺤﻘﻴﻖ اﻟﺤﺴﺎﺑﻰ آﺎﻟﺘﺎﻟﻰ

:

:

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

        ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

        ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

       ﻣﺠﻤﻮع اﻟﻤﺆﺧﺮات

       ﻣﺠﻤﻮع اﻟﻤﺆﺧﺮات

        ﻣﺠﻤﻮع اﻟﻤﻘﺪﻣﺎت

        ﻣﺠﻤﻮع اﻟﻤﻘﺪﻣﺎت

=

=

    ﻣﻨﺴﻮب ﺁﺧﺮ ﻧﻘﻄﺔ

    ﻣﻨﺴﻮب ﺁﺧﺮ ﻧﻘﻄﺔ

    ﻣﻨﺴﻮب اول ﻧﻘﻄﺔ

    ﻣﻨﺴﻮب اول ﻧﻘﻄﺔ

        ﻣﺠﻤﻮع اﻻرﺗﻔﺎﻋﺎت

        ﻣﺠﻤﻮع اﻻرﺗﻔﺎﻋﺎت

        ﻣﺠﻤﻮع اﻻﻧﺨﻔﺎﺿﺎت

        ﻣﺠﻤﻮع اﻻﻧﺨﻔﺎﺿﺎت

=

=

   ﻣﻨﺴﻮب ﺁﺧﺮ ﻧﻘﻄﺔ

   ﻣﻨﺴﻮب ﺁﺧﺮ ﻧﻘﻄﺔ

    ﻣﻨﺴﻮب اول ﻧﻘﻄﺔ

    ﻣﻨﺴﻮب اول ﻧﻘﻄﺔ

**

**

      ﻣﻠﺤﻮﻇﺔ

      ﻣﻠﺤﻮﻇﺔ

:

:

                ﻳﺠﺐ ﻣﺮاﻋﺎة أن ﺗﺘﺴﺎوى ﻣﺴﺎﻓﺎت اﻟﻤﻘﺪﻣﺎت ﻣﻊ ﻣﺴﺎﻓﺎت اﻟﻤﺆﺧﺮات

                ﻳﺠﺐ ﻣﺮاﻋﺎة أن ﺗﺘﺴﺎوى ﻣﺴﺎﻓﺎت اﻟﻤﻘﺪﻣﺎت ﻣﻊ ﻣﺴﺎﻓﺎت اﻟﻤﺆﺧﺮات

                   ﺑﻘﺪر اﻹﻣﻜﺎن أﺛﻨﺎء اﻟﺮﺻﺪ

                   ﺑﻘﺪر اﻹﻣﻜﺎن أﺛﻨﺎء اﻟﺮﺻﺪ


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٥٥

٥٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

     ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

     ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

Reduced Level method

Reduced Level method

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

A

A

C

C

E

E

D

D

F

F

B

B

   اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

   اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

BM

BM

   اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

   اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

G

G

٤٦٫١

٤٦٫١

١٠٫٢

١٠٫٢

٦٤٫٢

٦٤٫٢

٧٧٫٢

٧٧٫٢

٤٠٫٣

٤٠٫٣

٦٥٫١

٦٥٫١

١٩٫١

١٩٫١

٢٨٫١

٢٨٫١


background image

٦٥

٦٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

C

C

٦٤٫٢

٦٤٫٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٧٥

٧٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

C

C

٦٤٫٢

٦٤٫٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


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٨٥

٨٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٩٥

٩٥

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


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٠٦

٠٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

١٦

١٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٢٦

٢٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٨٣٫٢٢

٨٣٫٢٢

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٣٦

٣٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٨٣٫٢٢

٨٣٫٢٢

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٤٦

٤٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٨٣٫٢٢

٨٣٫٢٢

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٥٦

٥٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٨٣٫٢٢

٨٣٫٢٢

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٦٦

٦٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

    ﻃﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٨٣٫٢٢

٨٣٫٢٢

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

-

-

٦٦٫١

٦٦٫١

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ

O.K

O.K


background image

٧٦

٧٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

       ﻣﻠﺨﺺ ﺳﺮﻳﻊ ﻟﻠﺤﺴﺎب ﺑﻄﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

       ﻣﻠﺨﺺ ﺳﺮﻳﻊ ﻟﻠﺤﺴﺎب ﺑﻄﺮﻳﻘﺔ ﻣﻨﺴﻮب ﺳﻄﺢ اﻟﻤﻴﺰان

 اﻟﻨﻘﻄﺔ

 اﻟﻨﻘﻄﺔ

اﻟﻤﺆﺧﺮة

اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

اﻟﻤﻘﺪﻣﺔ

اﻟﻤﻘﺪﻣﺔ

ﺳﻄﺢ اﻟﻤﻴﺰان

ﺳﻄﺢ اﻟﻤﻴﺰان

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٦٨٫٣٢

٦٨٫٣٢

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

٩٠٫١٢

٩٠٫١٢

دوران

دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٨٣٫٢٢

٨٣٫٢٢

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٦٥٫٠٢

٦٥٫٠٢

 اﻟﻤﺠﻤﻮع

 اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

اﻟﻔﺮق

اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

-

-

٦٦٫١

٦٦٫١

اﻟﺘﺤﻘﻴﻖ

اﻟﺘﺤﻘﻴﻖ

O.K.

O.K.

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

A

C

E

D

F

B

 اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

BM

      اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

G

٤٦٫١

١٠٫٢

٦٤٫٢

٧٧٫٢

٤٠٫٣

٦٥٫١

١٩٫١

٢٨٫١


background image

٨٦

٨٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

  

  

Rise and Fall method

Rise and Fall method

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

A

A

C

C

E

E

D

D

F

F

B

B

   اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

   اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

BM

BM

   اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

   اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

G

G

٤٦٫١

٤٦٫١

١٠٫٢

١٠٫٢

٦٤٫٢

٦٤٫٢

٧٧٫٢

٧٧٫٢

٤٠٫٣

٤٠٫٣

٦٥٫١

٦٥٫١

١٩٫١

١٩٫١

٢٨٫١

٢٨٫١


background image

٩٦

٩٦

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

C

C

٦٤٫٢

٦٤٫٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٠٧

٠٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

١٧

١٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٢٧

٢٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٣٧

٣٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٧٢٫٠

٧٢٫٠

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٤٧

٤٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٧٢٫٠

٧٢٫٠

F

F

١٩٫١

١٩٫١

٥٣٫٠

٥٣٫٠

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٥٧

٥٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٧٢٫٠

٧٢٫٠

F

F

١٩٫١

١٩٫١

٥٣٫٠

٥٣٫٠

G

G

٢٨٫١

٢٨٫١

٩٠٫٠

٩٠٫٠

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٦٧

٦٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٧٧

٧٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٨٧

٨٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

  ارﺗﻔﺎع

  ارﺗﻔﺎع

(+)

(+)

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

-

-

٦٦٫١

٦٦٫١

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ

O.K

O.K


background image

٩٧

٩٧

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

A

C

E

D

F

B

 اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

BM

      اﺗﺠﺎﻩ ﻣﺴﺎر اﻟﻤﻴﺰاﻧﻴﺔ

G

٤٦٫١

١٠٫٢

٦٤٫٢

٧٧٫٢

٤٠٫٣

٦٥٫١

١٩٫١

٢٨٫١

    ﻣﻠﺨﺺ ﺳﺮﻳﻊ ﻟﻠﺤﺴﺎب ﺑﻄﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

    ﻣﻠﺨﺺ ﺳﺮﻳﻊ ﻟﻠﺤﺴﺎب ﺑﻄﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 اﻟﻨﻘﻄﺔ

 اﻟﻨﻘﻄﺔ

اﻟﻤﺆﺧﺮة

اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

اﻟﻤﻘﺪﻣﺔ

اﻟﻤﻘﺪﻣﺔ

ارﺗﻔﺎع

ارﺗﻔﺎع

 (+)

 (+)

 اﻧﺨﻔﺎض

 اﻧﺨﻔﺎض

 )

 )

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

دوران

دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

 اﻟﻤﺠﻤﻮع

 اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

اﻟﻔﺮق

اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

-

-

٦٦٫١

٦٦٫١

اﻟﺘﺤﻘﻴﻖ

اﻟﺘﺤﻘﻴﻖ

O.K

O.K


background image

٠٨

٠٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                      ﺣﻞ ﺁﺧﺮ ﻣﺒﺴﻂ ﻟﺤﺴﺎب اﻟﻤﻨﺎﺳﻴﺐ ﺑﻄﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

                      ﺣﻞ ﺁﺧﺮ ﻣﺒﺴﻂ ﻟﺤﺴﺎب اﻟﻤﻨﺎﺳﻴﺐ ﺑﻄﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض


background image

١٨

١٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

C

C

٦٤٫٢

٦٤٫٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٢٨

٢٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٣٨

٣٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (


background image

٤٨

٤٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٥٨

٥٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

F

F

١٩٫١

١٩٫١

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٦٨

٦٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

F

F

١٩٫١

١٩٫١

-

-

 

 

٥٣٫٠

٥٣٫٠

G

G

٢٨٫١

٢٨٫١

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٧٨

٧٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

F

F

١٩٫١

١٩٫١

-

-

 

 

٥٣٫٠

٥٣٫٠

G

G

٢٨٫١

٢٨٫١

 +

 +

٩٠٫٠

٩٠٫٠

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٨٨

٨٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

-

-

 

 

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

 +

 +

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٩٨

٩٨

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

-

-

 

 

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

 +

 +

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٠٩

٠٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

-

-

 

 

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

 +

 +

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

١٩

١٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

-

-

 

 

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

 +

 +

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ


background image

٢٩

٢٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

          ﻃﺮﻳﻘﺔ اﻻرﺗﻔﺎع واﻻﻧﺨﻔﺎض

 )

 )

    ﺣﻞ ﻣﺒﺴﻂ

    ﺣﻞ ﻣﺒﺴﻂ

 (

 (

   اﻟﻨﻘﻄﺔ

   اﻟﻨﻘﻄﺔ

a

a

   اﻟﻤﺆﺧﺮة

   اﻟﻤﺆﺧﺮة

 اﻟﻤﺘﻮﺳﻄﺔ

 اﻟﻤﺘﻮﺳﻄﺔ

  اﻟﻤﻘﺪﻣﺔ

  اﻟﻤﻘﺪﻣﺔ

   ارﺗﻔﺎع

   ارﺗﻔﺎع

(+ )

(+ )

   أو

   أو

     اﻧﺨﻔﺎض

     اﻧﺨﻔﺎض

)

)

-

-

(

(

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

   ﻣﻨﺴﻮب اﻟﻨﻘﻄﺔ

A

A

 روﺑﻴﺮ

 روﺑﻴﺮ

٤٦٫١

٤٦٫١

٢٢٫٢٢

٢٢٫٢٢

B

B

١٠٫٢

١٠٫٢

-

-

 

 

٧٣٫٠

٧٣٫٠

٥٨٫١٢

٥٨٫١٢

C

C

٦٤٫٢

٦٤٫٢

-

-

 

 

٥٤٫٠

٥٤٫٠

٠٤٫١٢

٠٤٫١٢

D

D

٧٧٫٢

٧٧٫٢

-

-

 

 

١٣٫٠

١٣٫٠

٩٠٫١٢

٩٠٫١٢

E

E

  دوران

  دوران

٦٥٫١

٦٥٫١

٤٠٫٣

٤٠٫٣

-

-

 

 

٧٢٫٠

٧٢٫٠

٢٨٫٠٢

٢٨٫٠٢

F

F

١٩٫١

١٩٫١

-

-

 

 

٥٣٫٠

٥٣٫٠

٧٤٫٠٢

٧٤٫٠٢

G

G

٢٨٫١

٢٨٫١

 +

 +

٩٠٫٠

٩٠٫٠

٦٥٫٠٢

٦٥٫٠٢

   اﻟﻤﺠﻤﻮع

   اﻟﻤﺠﻤﻮع

٠٢٫٣

٠٢٫٣

٦٨٫٤

٦٨٫٤

  اﻟﻔﺮق

  اﻟﻔﺮق

-

-

٦٦٫١

٦٦٫١

-

-

٦٦٫١

٦٦٫١

   اﻟﺘﺤﻘﻴﻖ

   اﻟﺘﺤﻘﻴﻖ

O.K

O.K


background image

٣٩

٣٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

       اﻟﻔﺼﻞ اﻟﺴﺎدس

       اﻟﻔﺼﻞ اﻟﺴﺎدس

         ﻣﺼﺎدر اﻷﺧﻄﺎء وأﻋﻤﺎل اﻟﻀﺒﻂ اﻟﺪاﺋﻢ ﻟﻠﻤﻴﺰان

         ﻣﺼﺎدر اﻷﺧﻄﺎء وأﻋﻤﺎل اﻟﻀﺒﻂ اﻟﺪاﺋﻢ ﻟﻠﻤﻴﺰان


background image

٤٩

٤٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                   ﻣﺼﺎدر وأﻧﻮاع اﻷﺧﻄﺎء ﻓﻰ اﻟﻤﻴﺰاﻧﻴﺔ

                   ﻣﺼﺎدر وأﻧﻮاع اﻷﺧﻄﺎء ﻓﻰ اﻟﻤﻴﺰاﻧﻴﺔ

 

 

Sources and kinds of errors in leveling

Sources and kinds of errors in leveling

١

١

-

-

    أﺧﻄﺎء ﻃﺒﻴﻌﻴﺔ

    أﺧﻄﺎء ﻃﺒﻴﻌﻴﺔ

:

:

 

 

  ا

  ا

-

-

     أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ ﺗﺄﺛﻴﺮ آﺮوﻳﺔ اﻷرض

     أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ ﺗﺄﺛﻴﺮ آﺮوﻳﺔ اﻷرض

 ب

 ب

-

-

     أﺧﻄﺎء ﺑﺴﺒﺐ اﻧﻜﺴﺎر اﻷﺷﻌﺔ اﻟﻀﻮﺋﻴﺔ

     أﺧﻄﺎء ﺑﺴﺒﺐ اﻧﻜﺴﺎر اﻷﺷﻌﺔ اﻟﻀﻮﺋﻴﺔ

٢

٢

-

-

     أﺧﻄﺎء ﺷﺨﺼﻴﺔ

     أﺧﻄﺎء ﺷﺨﺼﻴﺔ

:

:

 ا

 ا

-

-

                أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ ﻋﺪم اﻟﺪﻗﺔ ﻓﻰ أﻋﻤﺎل اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ

                أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ ﻋﺪم اﻟﺪﻗﺔ ﻓﻰ أﻋﻤﺎل اﻟﻀﺒﻂ اﻟﻤﺆﻗﺖ

 ب

 ب

-

-

      أﺧﻄﺎء ﻓﻰ ﻗﺮاءة اﻟﻘﺎﻣﺔ

      أﺧﻄﺎء ﻓﻰ ﻗﺮاءة اﻟﻘﺎﻣﺔ

   ـﺟ

   ـﺟ

-

-

           أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ ﻣﻴﻞ أو هﺒﻮط اﻟﻘﺎﻣﺔ أﺛﻨﺎء اﻟﺮﺻﺪ

           أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ ﻣﻴﻞ أو هﺒﻮط اﻟﻘﺎﻣﺔ أﺛﻨﺎء اﻟﺮﺻﺪ

  د

  د

-

-

                 أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ اﻟﻬﺒﻮط اﻟﻨﺴﺒﻰ ﻷرﺟﻞ اﻟﺤﺎﻣﻞ أﺛﻨﺎء اﻟﺮﺻﺪ

                 أﺧﻄﺎء ﻧﺎﺗﺠﺔ ﻋﻦ اﻟﻬﺒﻮط اﻟﻨﺴﺒﻰ ﻷرﺟﻞ اﻟﺤﺎﻣﻞ أﺛﻨﺎء اﻟﺮﺻﺪ

٣

٣

 

 

-

-

     أﺧﻄﺎء ﺁﻟﻴﺔ

     أﺧﻄﺎء ﺁﻟﻴﺔ

 :

 :

  ا

  ا

             ﻋﺪم ﺗﻌﺎﻣﺪ ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

             ﻋﺪم ﺗﻌﺎﻣﺪ ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

 ب

 ب

                ﻋﺪم ﺗﻮازى ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ ﻣﻊ ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

                ﻋﺪم ﺗﻮازى ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ ﻣﻊ ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ


background image

٥٩

٥٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

         اﻷﺧﻄﺎء اﻟﻄﺒﻴﻌﻴﺔ

         اﻷﺧﻄﺎء اﻟﻄﺒﻴﻌﻴﺔ

Natural Errors

Natural Errors

       ﺗﺄﺛﻴﺮ آﺮوﻳﺔ اﻷرض ﻋﻠﻰ اﻟﻤﻴﺰاﻧﻴﺔ

       ﺗﺄﺛﻴﺮ آﺮوﻳﺔ اﻷرض ﻋﻠﻰ اﻟﻤﻴﺰاﻧﻴﺔ

     ﺗﺄﺛﻴﺮ  اﻧﻜﺴﺎر اﻷﺷﻌﺔ اﻟﻀﻮﺋﻴﺔ

     ﺗﺄﺛﻴﺮ  اﻧﻜﺴﺎر اﻷﺷﻌﺔ اﻟﻀﻮﺋﻴﺔ


background image

٦٩

٦٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

         اﻷﺧﻄﺎء اﻟﺸﺨﺼﻴﺔ

         اﻷﺧﻄﺎء اﻟﺸﺨﺼﻴﺔ

Personal Errors

Personal Errors

    اﻟﺘﺤﻘﻖ ﻣﻦ رأﺳﻴﺔ اﻟﻘﺎﻣﺔ أﺛﻨﺎء اﻟﺮﺻﺪ

    اﻟﺘﺤﻘﻖ ﻣﻦ رأﺳﻴﺔ اﻟﻘﺎﻣﺔ أﺛﻨﺎء اﻟﺮﺻﺪ

           ﺑﻌﺾ أﺷﻜﺎل ﻣﻮازﻳﻦ اﻟﻤﻴﺎﻩ اﻟﺪاﺋﺮﻳﺔ

          اﻟﺘﻰ ﺗﺜﺒﺖ ﺧﻠﻒ اﻟﻘﺎﻣﺔ


background image

٧٩

٧٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

                    اﻟﻄﺮق اﻟﻤﺨﺘﻠﻔﺔ ﻟﺘﺄﻣﻴﻦ اﻟﺤﺎﻣﻞ او اﻟﻘﺎﻣﺔ ﻣﻦ اﻟﻬﺒﻮط  أﺛﻨﺎء اﻟﺮﺻﺪ

                    اﻟﻄﺮق اﻟﻤﺨﺘﻠﻔﺔ ﻟﺘﺄﻣﻴﻦ اﻟﺤﺎﻣﻞ او اﻟﻘﺎﻣﺔ ﻣﻦ اﻟﻬﺒﻮط  أﺛﻨﺎء اﻟﺮﺻﺪ

  

  


background image

٨٩

٨٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

            ﻗﺒﻞ اﺳﺘﻌﻤﺎل اﻟﻤﻴﺰان ﻟﺘﻌﻴﻴﻦ ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﺎط اﻟﻤﺴﺎﺣﻴﺔ ﻳﺠﺐ اﻟﺘﺄآﺪ ﻣﻦ

            ﻗﺒﻞ اﺳﺘﻌﻤﺎل اﻟﻤﻴﺰان ﻟﺘﻌﻴﻴﻦ ﻣﻨﺎﺳﻴﺐ اﻟﻨﻘﺎط اﻟﻤﺴﺎﺣﻴﺔ ﻳﺠﺐ اﻟﺘﺄآﺪ ﻣﻦ

     ﺻﺤﺔ ﻋﻤﻞ

     ﺻﺤﺔ ﻋﻤﻞ

        اﻟﻤﻴﺰان ﺑﺘﻮاﻓﺮ ﺑﻌﺾ اﻻﺷﺘﺮاﻃﺎت اﻟﺪاﺋﻤﺔ وﺗﺴﻤﻰ ﻋﻤﻠﻴﺎت ﺗﺤﻘﻴﻘﻬﺎ ﺑﺎﻟﻀﺒ

        اﻟﻤﻴﺰان ﺑﺘﻮاﻓﺮ ﺑﻌﺾ اﻻﺷﺘﺮاﻃﺎت اﻟﺪاﺋﻤﺔ وﺗﺴﻤﻰ ﻋﻤﻠﻴﺎت ﺗﺤﻘﻴﻘﻬﺎ ﺑﺎﻟﻀﺒ

   ﻂ اﻟﺪاﺋﻢ أو

   ﻂ اﻟﺪاﺋﻢ أو

اﻟﻤﻌﺎﻳﺮة ﻟﻠﻤﻴﺰان

اﻟﻤﻌﺎﻳﺮة ﻟﻠﻤﻴﺰان

 .

 .

 

 

    اﺷﺘﺮاﻃﺎت اﻟﻀﺒﻂ اﻟﺪاﺋﻢ

    اﺷﺘﺮاﻃﺎت اﻟﻀﺒﻂ اﻟﺪاﺋﻢ

:

:

 ا

 ا

-

-

                 ﻋﻼﻗﺔ ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ ﻣﻊ ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

                 ﻋﻼﻗﺔ ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ ﻣﻊ ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

        ﻓﻰ اﻟﻤﻮازﻳﻦ اﻟﻤﺰودة

        ﻓﻰ اﻟﻤﻮازﻳﻦ اﻟﻤﺰودة

 ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى

 ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى

 :

 :

”          

”          

            ﺗﻮازى ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

            ﺗﻮازى ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

        وﻓﻰ اﻟﻤﻮازﻳﻦ اﻟﻤﺰودة

        وﻓﻰ اﻟﻤﻮازﻳﻦ اﻟﻤﺰودة

  ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

  ﺑﻤﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

 :

 :

”        

”        

              ﺗﻌﺎﻣﺪ ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

              ﺗﻌﺎﻣﺪ ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

 ”

 ”

ب

ب

-

-

                 ﻣﻮازاة ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ ﻣﻊ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ ﻟﻠﻤﻴﺰان

                 ﻣﻮازاة ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ ﻣﻊ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ ﻟﻠﻤﻴﺰان

)

)

      ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

      ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

 (

 (

             و ﻳﺘﻢ ﺗﺼﺤﻴﺢ اﻷﺧﻄﺎء اﻵﻟﻴﺔ ﻣﻦ ﺧﻼل أﻋﻤﺎل اﻟﻀﺒﻂ اﻟﺪاﺋﻢ

             و ﻳﺘﻢ ﺗﺼﺤﻴﺢ اﻷﺧﻄﺎء اﻵﻟﻴﺔ ﻣﻦ ﺧﻼل أﻋﻤﺎل اﻟﻀﺒﻂ اﻟﺪاﺋﻢ

)

)

   أﻋﻤﺎل اﻟﻤﻌﺎﻳﺮة

   أﻋﻤﺎل اﻟﻤﻌﺎﻳﺮة

 (

 (

آﻤﺎ ﻳﻠﻰ

آﻤﺎ ﻳﻠﻰ

:

:

٣

٣

  

  

-

-

         اﻷﺧﻄﺎء اﻵﻟﻴﺔ

         اﻷﺧﻄﺎء اﻵﻟﻴﺔ

Instrumental Errors

Instrumental Errors


background image

٩٩

٩٩

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

Vertical (Plumb Line)

as found by out of adjustment,

but levelled Spirit Bubble

Axis of 
Rotation

d

α

A

B

B

A

2d

α

x

x

x

x

vertical

y

y’

y’

y

Rotate by 180 degree

(a)

(b)

(c)

d

α

= adjustment error

ا

ا

-

-

    ﺗﺼﺤﻴﺢ ﺗﻮازى ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

    ﺗﺼﺤﻴﺢ ﺗﻮازى ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى ﻣﻊ اﻟﻤﺤﻮر اﻟﺮأﺳﻰ ﻟﻠﻤﻴﺰان

:


background image

٠٠١

٠٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

ب

ب

-

-

      ﺗﺼﺤﻴﺢ اﻧﻄﺒﺎق ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ ﻣﻊ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ ﻟﻠﻤﻴﺰان

      ﺗﺼﺤﻴﺢ اﻧﻄﺒﺎق ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ ﻣﻊ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ ﻟﻠﻤﻴﺰان

                  ﻋﻨﺪ ورود اﻟﻤﻴﺰان ﻣﻦ ﻃﺮاز دﻣﺒﻰ  ﻣﻦ اﻟﻤﺼﻨﻊ ﻳﻜﻮن آﻼ ﻣﻦ ﻣﺤﻮر ﺧﻂ اﻟ

                  ﻋﻨﺪ ورود اﻟﻤﻴﺰان ﻣﻦ ﻃﺮاز دﻣﺒﻰ  ﻣﻦ اﻟﻤﺼﻨﻊ ﻳﻜﻮن آﻼ ﻣﻦ ﻣﺤﻮر ﺧﻂ اﻟ

      ﻨﻈﺮ واﻟﻤﺤﻮر

      ﻨﻈﺮ واﻟﻤﺤﻮر

     اﻟﻀﻮﺋﻰ ﻣﺘﻮازﻳﺎن وﻣﻨﻄﺒﻘﺎن

     اﻟﻀﻮﺋﻰ ﻣﺘﻮازﻳﺎن وﻣﻨﻄﺒﻘﺎن

)

)

   ﻳﻄﻠﻖ ﻋﻠﻴﻪ

   ﻳﻄﻠﻖ ﻋﻠﻴﻪ

collimation line

collimation line

   ( 

   ( 

       وآﻼهﻤﺎ ﻳﻮازى ﻣﺤﻮر

       وآﻼهﻤﺎ ﻳﻮازى ﻣﺤﻮر

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

  ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

 .

 .

                ﺑﻌﺪ ﻓﺘﺮة ﻣﻦ اﻻﺳﺘﺨﺪام أو اﻟﺘﻌﺮض ﻟﻠﺼﺪﻣﺎت  ﻳﻈﻞ آﻼ ﻣﻦ ﻣﺤﻮر ﺧﻂ اﻟﻨ

                ﺑﻌﺪ ﻓﺘﺮة ﻣﻦ اﻻﺳﺘﺨﺪام أو اﻟﺘﻌﺮض ﻟﻠﺼﺪﻣﺎت  ﻳﻈﻞ آﻼ ﻣﻦ ﻣﺤﻮر ﺧﻂ اﻟﻨ

      ﻈﺮ و ﻣﺤﻮر

      ﻈﺮ و ﻣﺤﻮر

     ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ  ﻣﺘﻮازﻳﺎن

     ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ  ﻣﺘﻮازﻳﺎن

 )

 )

          ذﻟﻚ ﻷﻧﻪ ﻓﻰ هﺬا اﻟﻨﻮع ﻣﻦ اﻟﻤﻮازﻳﻦ ﻳﻜﻮن اﻟﻤﻨﻈﺎر ﻣﺜﺒﺘﺎ ﻣﻊ

          ذﻟﻚ ﻷﻧﻪ ﻓﻰ هﺬا اﻟﻨﻮع ﻣﻦ اﻟﻤﻮازﻳﻦ ﻳﻜﻮن اﻟﻤﻨﻈﺎر ﻣﺜﺒﺘﺎ ﻣﻊ

 اﻟﻘﺎﻋﺪة

 اﻟﻘﺎﻋﺪة

 (

 (

           ﺑﻴﻨﻤﺎ ﻳﻨﺤﺮف آﻼهﻤﺎ ﻋﻦ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ ﻟﻠﻤﻴﺰان ﻣﺴﺒﺒﺎ ﺧﻄﺄ ﻳﻄﻠﻖ ﻋﻠﻴﻪ

           ﺑﻴﻨﻤﺎ ﻳﻨﺤﺮف آﻼهﻤﺎ ﻋﻦ اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ ﻟﻠﻤﻴﺰان ﻣﺴﺒﺒﺎ ﺧﻄﺄ ﻳﻄﻠﻖ ﻋﻠﻴﻪ

 ”

 ”

   ﺧﻄﺄ

   ﺧﻄﺄ

      اﻟﻤﻮازاة

      اﻟﻤﻮازاة

Collimation error

Collimation error

  “

  “

 

 

-

-

          ﻳﺘﻢ ﺣﺴﺎب ﻗﻴﻤﺔ هﺬا اﻟﺨﻄﺄ ﺑﺎﺳﺘﺨﺪام ﺗﺠﺮﺑﺔ اﻟﻮﺗﺪﻳﻦ

          ﻳﺘﻢ ﺣﺴﺎب ﻗﻴﻤﺔ هﺬا اﻟﺨﻄﺄ ﺑﺎﺳﺘﺨﺪام ﺗﺠﺮﺑﺔ اﻟﻮﺗﺪﻳﻦ

.

.


background image

١٠١

١٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

 اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

     اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

     ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

       اﻟﻤﻮازاة

 ﺧﻄﺄ

     اﻟﺸﻌﺮات

 ﺣﺎﻣﻞ

   ﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

 اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

     اﻟﻤﺤﻮر اﻟﻀﻮﺋﻰ

     ﻣﺤﻮر ﺧﻂ اﻟﻨﻈﺮ

     اﻟﺸﻌﺮات

 ﺣﺎﻣﻞ

 اﻟﻌﺪﺳﺔ

  اﻟﺸﻴﺌﻴﺔ

 اﻟﻌﺪﺳﺔ

  اﻟﻌﻴﻨﻴﺔ

   ﻣﺤﻮر ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ

         وﺿﻊ اﻟﻤﺤﺎور ﻓﻰ اﻟﻤﻴﺰان اﻟﺠﺪﻳﺪ أو ﺑﻌﺪ اﻟﻀﺒﻂ اﻟﺪاﺋﻢ

 وﺿﻊ اﻟﻤﺤﺎور ﻓﻰ اﻟﻤﻴﺰان اﻟﻤﺴﺘﻌﻤﻞ او اﻟﺬى ﺳﺒﻖ ﺗﻌﺮﺿﻪ ﻟﺼﺪﻣﺎت وﻳﺤﺘﺎج             اﻟﻰ ﺿﺒﻂ داﺋﻢ

        اﻟﺨﻂ اﻷﻓﻘﻰ

        اﻟﺨﻂ اﻷﻓﻘﻰ


background image

٢٠١

٢٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

a

a

b

b

H

H

a

a

H

H

 

b

b

   ﻣﻨﺴﻮب

   ﻣﻨﺴﻮب

a

a

   ﻣﻨﺴﻮب

   ﻣﻨﺴﻮب

b

b

   ﻣﻨﺴﻮب

   ﻣﻨﺴﻮب

a

a

a

a

b

b

   ﻣﻨﺴﻮب

   ﻣﻨﺴﻮب

b

b

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

  اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

   اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

   اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

:

:

  

  

       ﻧﻈﺮا ﻟﻮﺿﻊ اﻟﻤﻴﺰان ﻓﻰ ﻣﻨﺘﺼﻒ اﻟﻤﺴﺎﻓﺔ ﻟﺬا

       ﻧﻈﺮا ﻟﻮﺿﻊ اﻟﻤﻴﺰان ﻓﻰ ﻣﻨﺘﺼﻒ اﻟﻤﺴﺎﻓﺔ ﻟﺬا

        ﻳﺘﺴﺎوى اﻟﺨﻄﺄ ﻓﻰ ﺧﻂ اﻟﻨﻈﺮ ﻋﻠﻰ اﻟﻘﺎﻣﺘﻴﻦ

        ﻳﺘﺴﺎوى اﻟﺨﻄﺄ ﻓﻰ ﺧﻂ اﻟﻨﻈﺮ ﻋﻠﻰ اﻟﻘﺎﻣﺘﻴﻦ

  ﻓﺮق اﻟﻤﻨﺴﻮب اﻟﺼﺤﻴﺢ  ﺑﻴﻦ

  ﻓﺮق اﻟﻤﻨﺴﻮب اﻟﺼﺤﻴﺢ  ﺑﻴﻦ

a , b

a , b

 = 

 = 

 اﻟﻘﺮاءة

 اﻟﻘﺮاءة

  ﻋﻨﺪ

  ﻋﻨﺪ

a

a

  

  

-

-

   اﻟﻘﺮاءة ﻋﻨﺪ

   اﻟﻘﺮاءة ﻋﻨﺪ

b

b

 

 

 

 

     اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

     اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ ﻟﻠﻤﻴﺰان

:

:

    وﺿﻊ اﻟﻤﻴﺰان ﻗﺮﻳﺐ ﻣﻦ

    وﺿﻊ اﻟﻤﻴﺰان ﻗﺮﻳﺐ ﻣﻦ

a

a

 

 

      ﻟﺬا ﻳﻜﻮن اﻟﺨﻄﺄ ﻋﻨﺪهﺎ ﻣﺴﺎوﻳﺎ ﻟﻠﺼﻔﺮ

      ﻟﺬا ﻳﻜﻮن اﻟﺨﻄﺄ ﻋﻨﺪهﺎ ﻣﺴﺎوﻳﺎ ﻟﻠﺼﻔﺮ

   ﻓﺮق اﻟﻤﻨﺴﻮب ﺑﻴﻦ

   ﻓﺮق اﻟﻤﻨﺴﻮب ﺑﻴﻦ

a , b

a , b

  اﻟﻘﺮاءة ﻋﻨﺪ

  اﻟﻘﺮاءة ﻋﻨﺪ

a

a

  

  

-

-

  اﻟﻘﺮاءة

  اﻟﻘﺮاءة

 ﻋﻨﺪ

 ﻋﻨﺪ

b

b

 

 

           اذا ﺗﺴﺎوى ﻓﺮق اﻟﻤﻨﺴﻮب ﻓﻰ اﻟﻮﺿﻌﻴﻦ ﻳﻜﻮن اﻟﻤﻴﺰان

           اذا ﺗﺴﺎوى ﻓﺮق اﻟﻤﻨﺴﻮب ﻓﻰ اﻟﻮﺿﻌﻴﻦ ﻳﻜﻮن اﻟﻤﻴﺰان

 ﻣﻀﺒﻮط

 ﻣﻀﺒﻮط

     وإذا ﻟﻢ ﺗﺘﺴﺎوى اﻟﻘﻴﻤﺔ ﻓﻴﺤﺘﺎج اﻟﻤﻴﺰان اﻟﻰ ﺿﺒﻂ داﺋﻢ

     وإذا ﻟﻢ ﺗﺘﺴﺎوى اﻟﻘﻴﻤﺔ ﻓﻴﺤﺘﺎج اﻟﻤﻴﺰان اﻟﻰ ﺿﺒﻂ داﺋﻢ

 

 

      وﻟﺤﺴﺎب ﻗﻴﻤﺔ اﻟﺘﺼﺤﻴﺢ اﻟﻤﻄﻠﻮﺑﺔ ﻟﻀﺒﻂ أﻓﻘﻴﺔ ﺧﻂ اﻟﻨﻈﺮ

      وﻟﺤﺴﺎب ﻗﻴﻤﺔ اﻟﺘﺼﺤﻴﺢ اﻟﻤﻄﻠﻮﺑﺔ ﻟﻀﺒﻂ أﻓﻘﻴﺔ ﺧﻂ اﻟﻨﻈﺮ

:

:

   اﻟﻘﺮاءة ﻋﻨﺪ

   اﻟﻘﺮاءة ﻋﻨﺪ

a

a

       ﻓﻰ اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ

       ﻓﻰ اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ

 =

 =

    ﻓﺮق اﻟﻤﻨﺴﻮب اﻟﺼﺤﻴﺢ ﺑﻴﻦ

    ﻓﺮق اﻟﻤﻨﺴﻮب اﻟﺼﺤﻴﺢ ﺑﻴﻦ

a , b

a , b

 +  

 +  

 اﻟﻘﺮاءة ﻋﻨﺪ

 اﻟﻘﺮاءة ﻋﻨﺪ

b

b

       ﻓﻰ اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ

       ﻓﻰ اﻟﻮﺿﻊ اﻟﺜﺎﻧﻰ

-

-

   ﻗﻴﻤﺔ

   ﻗﻴﻤﺔ

  اﻟﺘﺼﺤﻴﺢ

  اﻟﺘﺼﺤﻴﺢ

C

C

 اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

 اﻟﻮﺿﻊ اﻷول ﻟﻠﻤﻴﺰان

C

C

          ﺗﺠﺮﺑﺔ اﻟﻮﺗﺪﻳﻦ

          ﺗﺠﺮﺑﺔ اﻟﻮﺗﺪﻳﻦ

test

test

-

-

peg

peg

-

-

The two

The two


background image

٣٠١

٣٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

L / 2

L / 2

L / 2

L / 2

S

S

1

1

A

A

B

B

S

S

2

2

S

S

3

3

A

A

B

B

L / 10

L / 10

S

S

4

4

Collimation error,

Collimation error, 

e = (S

e = (S

-

S

S

2

)  

)  

-

(S

(S

-

S

S

4

)  mm / Lm

)  mm / Lm


background image

٤٠١

٤٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

          ﺟﻬﺎز ﻣﻌﺎﻳﺮة اﻟﻤﻮازﻳﻦ ﻓﻰ اﻟﻤﻌﻤﻞ

          ﺟﻬﺎز ﻣﻌﺎﻳﺮة اﻟﻤﻮازﻳﻦ ﻓﻰ اﻟﻤﻌﻤﻞ

  

  

  

  

 

 

„

„

AUTOCOLLIMATION 

AUTOCOLLIMATION 

EYEPIECE 

EYEPIECE 

„

„

Carl Zeiss 

Carl Zeiss 

(

(

Oberkochen)

Oberkochen)


background image

٥٠١

٥٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

   اﻟﺒﺎب اﻟﺜﺎﻧﻰ

       اﻟﻔﺼﻞ اﻟﺴﺎﺑﻊ

       اﻟﻔﺼﻞ اﻟﺴﺎﺑﻊ

    اﺣﺘﻴﺎﻃﺎت ﺗﻨﻔﻴﺬ وأﻋﻤﺎل ﺗﺤﻘﻴﻖ اﻟﻤﻴﺰاﻧﻴﺔ

    اﺣﺘﻴﺎﻃﺎت ﺗﻨﻔﻴﺬ وأﻋﻤﺎل ﺗﺤﻘﻴﻖ اﻟﻤﻴﺰاﻧﻴﺔ


background image

٦٠١

٦٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

        اﻟﺘﺤﻘﻖ ﺟﻴﺪا ﻣﻦ وﺿﻊ اﻟﺮوﺑﻴﺮ وﺗﺄﻣﻴﻨﻪ ﺟﻴﺪا ﻣﻊ اﺧﺘﻴﺎر أآﺜﺮ ﻣﻦ روﺑﻴﺮ

        اﻟﺘﺤﻘﻖ ﺟﻴﺪا ﻣﻦ وﺿﻊ اﻟﺮوﺑﻴﺮ وﺗﺄﻣﻴﻨﻪ ﺟﻴﺪا ﻣﻊ اﺧﺘﻴﺎر أآﺜﺮ ﻣﻦ روﺑﻴﺮ

  اﺣﺘﻴﺎﻃﻰ

  اﺣﺘﻴﺎﻃﻰ

         ﺣﻮل ﻣﻮﻗﻊ اﻟﻤﺸﺮوع

         ﺣﻮل ﻣﻮﻗﻊ اﻟﻤﺸﺮوع

 .

 .

٢

٢

-

-

         ﻳﺠﺐ أن ﺗﻜﻮن ﻣﺴﺎﻓﺔ اﻟﻘﺎﻣﺎت ﻣﺘﺴﺎوﻳﺔ ﺗﻘﺮﻳﺒﺎ وﻻ ﺗﺰﻳﺪ  ﻋﻦ

         ﻳﺠﺐ أن ﺗﻜﻮن ﻣﺴﺎﻓﺔ اﻟﻘﺎﻣﺎت ﻣﺘﺴﺎوﻳﺔ ﺗﻘﺮﻳﺒﺎ وﻻ ﺗﺰﻳﺪ  ﻋﻦ

٠٥

٠٥

 ﻣﺘﺮ

 ﻣﺘﺮ

.

.

٣

٣

-

-

         اﻟﺘﺜﺒﻴﺖ اﻟﺠﻴﺪ ﻟﻠﺤﺎﻣﻞ ﻗﺒﻞ اﻟﺮﺻﺪ ﻣﻊ ﺗﺄﻣﻴﻦ هﺒﻮط اﻟﻘﺎﻣﺔ أﺛﻨﺎء اﻟﺮﺻﺪ

         اﻟﺘﺜﺒﻴﺖ اﻟﺠﻴﺪ ﻟﻠﺤﺎﻣﻞ ﻗﺒﻞ اﻟﺮﺻﺪ ﻣﻊ ﺗﺄﻣﻴﻦ هﺒﻮط اﻟﻘﺎﻣﺔ أﺛﻨﺎء اﻟﺮﺻﺪ

.

.

٤

٤

-

-

       ﻟﻀﻤﺎن رأﺳﻴﺔ اﻟﻘﺎﻣﺔ ﻳﻔﻀﻞ ﺗﺜﺒﻴﺖ ﻣﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى ﺧﻠﻔﻬﺎ

       ﻟﻀﻤﺎن رأﺳﻴﺔ اﻟﻘﺎﻣﺔ ﻳﻔﻀﻞ ﺗﺜﺒﻴﺖ ﻣﻴﺰان ﺗﺴﻮﻳﺔ داﺋﺮى ﺧﻠﻔﻬﺎ

.

.

٥

٥

-

-

          ﻟﺘﻘﻠﻴﻞ ﺗﺄﺛﻴﺮ اﻻﻧﻜﺴﺎر ﻳﻔﻀﻞ أﻻ ﻳﻜﻮن ﺧﻂ اﻟﻨﻈﺮ ﻗﺮﻳﺒﺎ ﻣﻦ ﺳﻄﺢ اﻷرض

          ﻟﺘﻘﻠﻴﻞ ﺗﺄﺛﻴﺮ اﻻﻧﻜﺴﺎر ﻳﻔﻀﻞ أﻻ ﻳﻜﻮن ﺧﻂ اﻟﻨﻈﺮ ﻗﺮﻳﺒﺎ ﻣﻦ ﺳﻄﺢ اﻷرض

  ﺗﺠﻨﺐ أى

  ﺗﺠﻨﺐ أى

      ﻗﺮاءات ﻟﻠﻘﺎﻣﺔ ﻗﺪ ﺗﻘﻞ ﻋﻦ

      ﻗﺮاءات ﻟﻠﻘﺎﻣﺔ ﻗﺪ ﺗﻘﻞ ﻋﻦ

٠٥

٠٥

  ﺳﻢ

  ﺳﻢ

 .(

 .(

٦

٦

-

-

         اﺧﺘﻴﺎر ﻧﻘﻂ ﺛﺎﺑﺘﺔ وﺟﻴﺪة ﻟﻨﻘﻂ دوران اﻟﻘﺎﻣﺔ

         اﺧﺘﻴﺎر ﻧﻘﻂ ﺛﺎﺑﺘﺔ وﺟﻴﺪة ﻟﻨﻘﻂ دوران اﻟﻘﺎﻣﺔ

 .

 .

١

١

-

-

 

 

              اﺣﺘﻴﺎﻃﺎت ﺗﻨﻔﻴﺬ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ

              اﺣﺘﻴﺎﻃﺎت ﺗﻨﻔﻴﺬ أﻋﻤﺎل اﻟﻤﻴﺰاﻧﻴﺔ


background image

٧٠١

٧٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   ﺗﻨﻘﺴﻢ أﻋﻤﺎل ﺗﺤﻘﻴﻖ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻰ

   ﺗﻨﻘﺴﻢ أﻋﻤﺎل ﺗﺤﻘﻴﻖ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻰ

:

:

١

١

-

-

                ﺗﺤﻘﻴﻖ اﻷﻋﻤﺎل اﻟﺤﺴﺎﺑﻴﺔ وﻓﻴﻪ ﻳﺘﺴﺎوى اﻟﻔﺮق ﺑﻴﻦ اﻟﻤﻘﺪﻣﺎت واﻟﻤﺆﺧﺮات

                ﺗﺤﻘﻴﻖ اﻷﻋﻤﺎل اﻟﺤﺴﺎﺑﻴﺔ وﻓﻴﻪ ﻳﺘﺴﺎوى اﻟﻔﺮق ﺑﻴﻦ اﻟﻤﻘﺪﻣﺎت واﻟﻤﺆﺧﺮات

   ﻣﻊ

   ﻣﻊ

            اﻟﻔﺎرق ﺑﻴﻦ ﻣﻨﺴﻮب أول وﺁﺧﺮ ﻧﻘﻄﺔ

            اﻟﻔﺎرق ﺑﻴﻦ ﻣﻨﺴﻮب أول وﺁﺧﺮ ﻧﻘﻄﺔ

)

)

       اﻧﻈﺮ ﺟﺪاول اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺴﺎﺑﻘﺔ

       اﻧﻈﺮ ﺟﺪاول اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺴﺎﺑﻘﺔ

.(

.(

٢

٢

-

-

          ﺗﺤﻘﻴﻖ اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ ﻳﺘﻢ ﺑﺈﺣﺪى اﻟﻄﺮق اﻵﺗﻴﺔ

          ﺗﺤﻘﻴﻖ اﻷﻋﻤﺎل اﻟﺤﻘﻠﻴﺔ ﻳﺘﻢ ﺑﺈﺣﺪى اﻟﻄﺮق اﻵﺗﻴﺔ

:

:

              ا

              ا

-

-

            ﺑﺈﺟﺮاء ﻣﻴﺰاﻧﻴﺔ ﻣﺰدوﺟﺔ وذﻟﻚ ﺑﺘﺴﻠﺴﻞ اﻟﻤﻴﺰاﻧﻴﺔ ذهﺎﺑﺎ وإﻳﺎﺑﺎ

            ﺑﺈﺟﺮاء ﻣﻴﺰاﻧﻴﺔ ﻣﺰدوﺟﺔ وذﻟﻚ ﺑﺘﺴﻠﺴﻞ اﻟﻤﻴﺰاﻧﻴﺔ ذهﺎﺑﺎ وإﻳﺎﺑﺎ

                  ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻓﻰ ﻧﻔﺲ اﻟﻤﺴﺎر

                  ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻓﻰ ﻧﻔﺲ اﻟﻤﺴﺎر

.

.

             ب

             ب

-

-

         ﺑﺈﺟﺮاء ﻣﻴﺰاﻧﻴﺔ ﻣﻘﻔﻠﺔ وذﻟﻚ ﺑﺘﺴﻠﺴﻞ اﻟﻤﻴﺰاﻧﻴﺔ ذهﺎﺑﺎ وإﻳﺎﺑﺎ

         ﺑﺈﺟﺮاء ﻣﻴﺰاﻧﻴﺔ ﻣﻘﻔﻠﺔ وذﻟﻚ ﺑﺘﺴﻠﺴﻞ اﻟﻤﻴﺰاﻧﻴﺔ ذهﺎﺑﺎ وإﻳﺎﺑﺎ

                    ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻓﻰ ﻣﺴﺎرﻳﻦ ﻣﺨﺘﻠﻔﻴﻦ

                    ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻓﻰ ﻣﺴﺎرﻳﻦ ﻣﺨﺘﻠﻔﻴﻦ

 .

 .

   ـ            ﺟ

   ـ            ﺟ

-

-

      إﺟﺮاء اﻟﻤﻴﺰاﻧﻴﺔ ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻣﻌﻠﻮﻣﺘﻰ اﻟﻤﻨﺴﻮب

      إﺟﺮاء اﻟﻤﻴﺰاﻧﻴﺔ ﺑﻴﻦ ﻧﻘﻄﺘﻴﻦ ﻣﻌﻠﻮﻣﺘﻰ اﻟﻤﻨﺴﻮب

.

.

          وﻓﻰ آﻞ ﺣﺎﻟﺔ ﻣﻦ اﻟﺤﺎﻻت اﻟﺜﻼﺛﺔ ﻳﺘﻢ ﺣﺴﺎب ﺧﻄﺄ اﻟﻘﻔﻞ

          وﻓﻰ آﻞ ﺣﺎﻟﺔ ﻣﻦ اﻟﺤﺎﻻت اﻟﺜﻼﺛﺔ ﻳﺘﻢ ﺣﺴﺎب ﺧﻄﺄ اﻟﻘﻔﻞ

 .

 .

٢

٢

-

-

 

 

   أﻋﻤﺎل ﺗﺤﻘﻴﻖ اﻟﻤﻴﺰاﻧﻴﺔ

   أﻋﻤﺎل ﺗﺤﻘﻴﻖ اﻟﻤﻴﺰاﻧﻴﺔ


background image

٨٠١

٨٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

              اﻟﺤﺪود اﻟﻤﺴﻤﻮح ﺑﻬﺎ  ﻓﻰ ﺧﻄﺄ اﻟﻘﻔﻞ

              اﻟﺤﺪود اﻟﻤﺴﻤﻮح ﺑﻬﺎ  ﻓﻰ ﺧﻄﺄ اﻟﻘﻔﻞ

            ﺣﺪود ﺧﻄﺄ اﻟﻘﻔﻞ ﺗﺘﻮﻗﻒ ﻋﻠﻰ درﺟﺔ اﻟﻤﻴﺰاﻧﻴﺔ وهﻰ آﺎﻟﺘﺎﻟﻰ

            ﺣﺪود ﺧﻄﺄ اﻟﻘﻔﻞ ﺗﺘﻮﻗﻒ ﻋﻠﻰ درﺟﺔ اﻟﻤﻴﺰاﻧﻴﺔ وهﻰ آﺎﻟﺘﺎﻟﻰ

:

:

      ﺣﺪود اﻟﺪﻗﺔ

      ﺣﺪود اﻟﺪﻗﺔ

   درﺟﺔ اﻟﻤﻴﺰاﻧﻴﺔ

   درﺟﺔ اﻟﻤﻴﺰاﻧﻴﺔ

C = 4 mm 

C = 4 mm 

 

K

K

   ﻣﻴﺰاﻧﻴﺔ درﺟﺔ أوﻟﻰ

   ﻣﻴﺰاﻧﻴﺔ درﺟﺔ أوﻟﻰ

C = 8 mm 

C = 8 mm 

 

K

K

  ﻣﻴﺰاﻧﻴﺔ درﺟﺔ ﺛﺎﻧﻴﺔ

  ﻣﻴﺰاﻧﻴﺔ درﺟﺔ ﺛﺎﻧﻴﺔ

C = 12 mm 

C = 12 mm 

 

K

K

  ﻣﻴﺰاﻧﻴﺔ درﺟﺔ  ﺛﺎﻟﺜﺔ

  ﻣﻴﺰاﻧﻴﺔ درﺟﺔ  ﺛﺎﻟﺜﺔ

C = 25 mm 

C = 25 mm 

 

K

K

  ﻣﻴﺰاﻧﻴﺔ درﺟﺔ راﺑﻌﺔ

  ﻣﻴﺰاﻧﻴﺔ درﺟﺔ راﺑﻌﺔ

                                                ﺣﻴﺚ

                                                ﺣﻴﺚ

K

K

     ﻃﻮل اﻟﻤﻴﺰاﻧﻴﺔ ﺑﺎﻟﻜﻴﻠﻮﻣﺘﺮ

     ﻃﻮل اﻟﻤﻴﺰاﻧﻴﺔ ﺑﺎﻟﻜﻴﻠﻮﻣﺘﺮ

 

 

-

-

                           اذا زادت ﻗﻴﻤﺔ اﻟﺨﻄﺄ ﻋﻦ اﻟﺤﺪود اﻟﻤﺴﻤﻮح ﺑﻬﺎ ﻓﻴﺠﺐ إﻋﺎدة أﻷﻋﻤﺎل

                           اذا زادت ﻗﻴﻤﺔ اﻟﺨﻄﺄ ﻋﻦ اﻟﺤﺪود اﻟﻤﺴﻤﻮح ﺑﻬﺎ ﻓﻴﺠﺐ إﻋﺎدة أﻷﻋﻤﺎل

          اﻟﺤﻘﻠﻴﺔ ﻟﻠﻤﻴﺰاﻧﻴﺔ أو اﻟﺒﺤﺚ ﻋﻦ ﺳﺒﺐ اﻟﺨﻄﺄ

          اﻟﺤﻘﻠﻴﺔ ﻟﻠﻤﻴﺰاﻧﻴﺔ أو اﻟﺒﺤﺚ ﻋﻦ ﺳﺒﺐ اﻟﺨﻄﺄ


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٩٠١

٩٠١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

   اﻟﺒﺎب اﻟﺜﺎﻟﺚ

   اﻟﺒﺎب اﻟﺜﺎﻟﺚ

       اﻟﻄﺮق اﻟﻐﻴﺮ ﻣﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

       اﻟﻄﺮق اﻟﻐﻴﺮ ﻣﺒﺎﺷﺮة ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ

 

 

Indirect leveling

Indirect leveling


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٠١١

٠١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

١

١

-

-

          اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ

          اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ

Trigonometric leveling

Trigonometric leveling

         ﻓﻰ هﺬﻩ اﻟﻄﺮﻳﻘﺔ ﻳﺘﻢ ﻗﻴﺎس اﻟﻤﺴﺎﻓﺎت اﻷﻓﻘﻴﺔ واﻟﺰواﻳﺎ اﻟﺮأﺳﻴﺔ ﺑﺎﺳﺘﺨﺪ

         ﻓﻰ هﺬﻩ اﻟﻄﺮﻳﻘﺔ ﻳﺘﻢ ﻗﻴﺎس اﻟﻤﺴﺎﻓﺎت اﻷﻓﻘﻴﺔ واﻟﺰواﻳﺎ اﻟﺮأﺳﻴﺔ ﺑﺎﺳﺘﺨﺪ

   ام اﻟﺘﻴﻮدوﻟﻴﺖ

   ام اﻟﺘﻴﻮدوﻟﻴﺖ

Theodolite

Theodolite

        أو ﻣﺤﻄﺔ اﻻرﺻﺎد اﻟﻤﺘﻜﺎﻣﻠﺔ

        أو ﻣﺤﻄﺔ اﻻرﺻﺎد اﻟﻤﺘﻜﺎﻣﻠﺔ

Total station 

Total station 

       ﻟﺤﺴﺎب ﻓﺮوق

       ﻟﺤﺴﺎب ﻓﺮوق

 اﻟﻤﻨﺎﺳﻴﺐ

 اﻟﻤﻨﺎﺳﻴﺐ

)

)

اﻻرﺗﻔﺎﻋﺎت

اﻻرﺗﻔﺎﻋﺎت

.(

.(

 

 

       ﺗﻌﺘﺒﺮ هﻰ اﻟﻄﺮﻳﻘﺔ اﻟﻮﺣﻴﺪة  ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ واﻻرﺗﻔﺎﻋﺎت

       ﺗﻌﺘﺒﺮ هﻰ اﻟﻄﺮﻳﻘﺔ اﻟﻮﺣﻴﺪة  ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ واﻻرﺗﻔﺎﻋﺎت

     ﻓﻲ اﻟﻤﻨﺎﻃﻖ اﻟﺠﺒﻠﻴ

     ﻓﻲ اﻟﻤﻨﺎﻃﻖ اﻟﺠﺒﻠﻴ

 .

 .

            وﺗﺴﺘﺨﺪم هﺬﻩ اﻟﻄﺮﻳﻘﺔ ﻓﻰ ﺣﺎﻟﺔ اﻳﺠﺎد ﻓﺮق اﻟﻤﻨﺎﺳﻴﺐ ﻷهﺪاف ﻻ ﻳﻤﻜﻦ ا

            وﺗﺴﺘﺨﺪم هﺬﻩ اﻟﻄﺮﻳﻘﺔ ﻓﻰ ﺣﺎﻟﺔ اﻳﺠﺎد ﻓﺮق اﻟﻤﻨﺎﺳﻴﺐ ﻷهﺪاف ﻻ ﻳﻤﻜﻦ ا

     ﻟﻮﺻﻮل اﻟﻴﻬﺎ

     ﻟﻮﺻﻮل اﻟﻴﻬﺎ

 )

 )

        ﻣﺜﻞ ﻗﻤﺔ ﻣﺌﺬﻧﺔ او ﻣﺒﻨﻰ ﺷﺎهﻖ

        ﻣﺜﻞ ﻗﻤﺔ ﻣﺌﺬﻧﺔ او ﻣﺒﻨﻰ ﺷﺎهﻖ

-

-

           اهﺪاف ﻋﻠﻰ اﻟﺠﺎﻧﺐ اﻵﺧﺮ ﻣﻦ ﻣﺠﺮى ﻣﺎﺋﻰ

           اهﺪاف ﻋﻠﻰ اﻟﺠﺎﻧﺐ اﻵﺧﺮ ﻣﻦ ﻣﺠﺮى ﻣﺎﺋﻰ

-

-

 

 

   ﻗﻴﺎس ارﺗﻔﺎﻋﺎت آﺎﺑﻼت آﻬﺮﺑﺎﺋﻴﺔ

   ﻗﻴﺎس ارﺗﻔﺎﻋﺎت آﺎﺑﻼت آﻬﺮﺑﺎﺋﻴﺔ

      او ﺧﻼﻓﺔ

      او ﺧﻼﻓﺔ

.

.

 

 

 ﺗﻌﺘﺒﺮ ﻃﺮﻳﻘﺔ

 ﺗﻌﺘﺒﺮ ﻃﺮﻳﻘﺔ

  اﻗﺘﺼﺎد

  اﻗﺘﺼﺎد

ﻳﺔ

ﻳﺔ

    ﻣﻘﺎرﻧﺔ ﺑﻄﺮﻳﻘﺔ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻔﺮﻗﻴﺔ وﻟﻜﻨﻬ

    ﻣﻘﺎرﻧﺔ ﺑﻄﺮﻳﻘﺔ اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻔﺮﻗﻴﺔ وﻟﻜﻨﻬ

     ﺎ اﻗﻞ دﻗﺔ ﻣﻨ

     ﺎ اﻗﻞ دﻗﺔ ﻣﻨ

 ﻬﺎ

 ﻬﺎ

.

.


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١١١

١١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

       أﺟﻬﺰة اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ

       أﺟﻬﺰة اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ

 

 

Trigonometric leveling instruments

Trigonometric leveling instruments

     اﻟﺘﻴﻮدوﻟﻴﺖ

Theodolite

        ﻣﺤﻄﺔ اﻟﺮﺻﺪ اﻟﻤﺘﻜﺎﻣﻠﺔ

Total station


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٢١١

٢١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

B

A

r

z

V

H

S

C

D

hi

α

ΔZ

CD

 

= V = S Sin 

α

 

= S Cos z

=  H Cot z

ΔZ

AB 

=  hi + V -

 

r

 

OR   Z

B

 

= Z

A

 

+ hi + S Sin 

α

 

- r

=  Z

A

 

+ hi + H Cot z -

 

r

Theodolite measures 

vertical Angle 

           ﻗﻴﺎﺳﺎت اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ

           ﻗﻴﺎﺳﺎت اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻤﺜﻠﺜﻴﺔ


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٣١١

٣١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٢

٢

-

-

           اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺒﺎروﻣﺘﺮﻳﺔ

           اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺒﺎروﻣﺘﺮﻳﺔ

 

 

Barometric leveling

Barometric leveling

 

 

              ﺗﻮﺟﺪ ﻋﻼﻗﺔ ﻋﻜﺴﻴﺔ ﺑﻴﻦ اﻻرﺗﻔﺎع وﻗﻴﻤﺔ اﻟﻀﻐﻂ اﻟﺠﻮى

              ﺗﻮﺟﺪ ﻋﻼﻗﺔ ﻋﻜﺴﻴﺔ ﺑﻴﻦ اﻻرﺗﻔﺎع وﻗﻴﻤﺔ اﻟﻀﻐﻂ اﻟﺠﻮى

 )

 )

  آﻠﻤﺎ زاد اﻻرﺗﻔﺎع ﻳﻘﻞ اﻟﻀﻐﻂ

  آﻠﻤﺎ زاد اﻻرﺗﻔﺎع ﻳﻘﻞ اﻟﻀﻐﻂ

 .(

 .(

         ﻳﺘﻢ ﺗﺤﺪﻳﺪ ﻓﺮوق اﻻرﺗﻔﺎﻋﺎت ﺑﻴﻦ اﻟﻨﻘﻂ اﻟﻤﺴﺎﺣﻴﺔ ﺑﻘﻴﺎس ﻗﻴﻤﺔ اﻟﻀﻐﻂ اﻟ

         ﻳﺘﻢ ﺗﺤﺪﻳﺪ ﻓﺮوق اﻻرﺗﻔﺎﻋﺎت ﺑﻴﻦ اﻟﻨﻘﻂ اﻟﻤﺴﺎﺣﻴﺔ ﺑﻘﻴﺎس ﻗﻴﻤﺔ اﻟﻀﻐﻂ اﻟ

     ﺠﻮى ﻋﻨﺪ آﻞ

     ﺠﻮى ﻋﻨﺪ آﻞ

ﻧﻘﻄﺔ

ﻧﻘﻄﺔ

 .

 .

      ﻳﺘﻢ ﻗﻴﺎس اﻟﻀﻐﻂ اﻟﺠﻮى ﺑﺎﺳﺘﺨﺪام

      ﻳﺘﻢ ﻗﻴﺎس اﻟﻀﻐﻂ اﻟﺠﻮى ﺑﺎﺳﺘﺨﺪام

                    ﺑﺎروﻣﺘﺮ زﺋﺒﻘﻰ

                    ﺑﺎروﻣﺘﺮ زﺋﺒﻘﻰ

Mercurial barometers 

Mercurial barometers 

                     ﺑﺎروﻣﺘﺮ ﻣﻌﺪﻧﻰ

                     ﺑﺎروﻣﺘﺮ ﻣﻌﺪﻧﻰ

Aneroid barometer

Aneroid barometer

     ﺑﺎروﻣﺘﺮ رﻗﻤﻰ

     ﺑﺎروﻣﺘﺮ رﻗﻤﻰ

Digital barometer

Digital barometer

  

  

 

 

-

-

          ﻳﺘﻢ أﻳﻀﺎ ﻗﻴﺎس اﻻرﺗﻔﺎﻋﺎت ﻋﻦ ﺳﻄﺢ اﻟﺒﺤﺮ ﺑﺎﺳﺘﺨﺪام اﺟﻬﺰة

          ﻳﺘﻢ أﻳﻀﺎ ﻗﻴﺎس اﻻرﺗﻔﺎﻋﺎت ﻋﻦ ﺳﻄﺢ اﻟﺒﺤﺮ ﺑﺎﺳﺘﺨﺪام اﺟﻬﺰة

اﻷﻟﺘﻴﻤﻴﺘﺮ

اﻷﻟﺘﻴﻤﻴﺘﺮ

 

 

Altimeter

Altimeter

         ﺗﻌﺘﺒﺮ ﻃﺮﻳﻘﺔ ﺗﻘﺮﻳﺒﻴﺔ ﻟﻸﻋﻤﺎل اﻻﺳﺘﻜﺸﺎﻓﻴﺔ ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ وﻓﺮوق اﻻ

         ﺗﻌﺘﺒﺮ ﻃﺮﻳﻘﺔ ﺗﻘﺮﻳﺒﻴﺔ ﻟﻸﻋﻤﺎل اﻻﺳﺘﻜﺸﺎﻓﻴﺔ ﻟﻘﻴﺎس اﻟﻤﻨﺎﺳﻴﺐ وﻓﺮوق اﻻ

رﺗﻔﺎﻋﺎت

رﺗﻔﺎﻋﺎت

    .

    .


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٤١١

٤١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

            أدوات ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺒﺎروﻣﺘﺮﻳﺔ

            أدوات ﻗﻴﺎس اﻟﻤﻴﺰاﻧﻴﺔ اﻟﺒﺎروﻣﺘﺮﻳﺔ

  

  

Aneroid barometer

mercurial barometer

Digital barometer


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٥١١

٥١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

٣

٣

-

-

              اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻴﺪروﺳﺘﺎﺗﻴﻜﻴﺔ

              اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻴﺪروﺳﺘﺎﺗﻴﻜﻴﺔ

 

 

Hydrostatic leveling

Hydrostatic leveling

-

-

             ﺗﻌﺘﻤﺪ أﺳﺎﺳﺎ ﻋﻠﻰ ﻧﻈﺮﻳﺔ اﻷواﻧﻰ اﻟﻤﺴﺘﻄﺮﻗﺔ

             ﺗﻌﺘﻤﺪ أﺳﺎﺳﺎ ﻋﻠﻰ ﻧﻈﺮﻳﺔ اﻷواﻧﻰ اﻟﻤﺴﺘﻄﺮﻗﺔ

 ،

 ،

                   وﻳﻄﻠﻖ ﻋﻠﻰ اﻟﻤﻴﺰان اﻟﻤﺴﺘﺨﺪم ﻣﻴﺰان اﻟﺨﺮﻃﻮم

                   وﻳﻄﻠﻖ ﻋﻠﻰ اﻟﻤﻴﺰان اﻟﻤﺴﺘﺨﺪم ﻣﻴﺰان اﻟﺨﺮﻃﻮم

 .

 .

-

-

                ﻳﺘﻜﻮن اﻟﻤﻴﺰان ﻣﻦ ﺧﺮﻃﻮم ﺷﻔﺎف ﻣﺮن ﻣﻤﻠﻮء ﺑﺎﻟﻤﻴﺎﻩ

                ﻳﺘﻜﻮن اﻟﻤﻴﺰان ﻣﻦ ﺧﺮﻃﻮم ﺷﻔﺎف ﻣﺮن ﻣﻤﻠﻮء ﺑﺎﻟﻤﻴﺎﻩ

 .

 .

                  ﻳﺴﺘﺨﺪم ﻓﻰ اﻟﻤﺴﺎﺣﺎت اﻟﻜﺒﻴﺮة ﻟﻀﺒﻂ أﻓﻘﻴﺔ أآﺜﺮ ﻣﻦ هﺪف

                  ﻳﺴﺘﺨﺪم ﻓﻰ اﻟﻤﺴﺎﺣﺎت اﻟﻜﺒﻴﺮة ﻟﻀﺒﻂ أﻓﻘﻴﺔ أآﺜﺮ ﻣﻦ هﺪف

.

.

-

-

                      ﻳﺴﺘﺨﺪم ﻓﻰ أﻋﻤﺎل ﻧﻘﻞ اﻟﺮوﺑﻴﺮ ﻣﻦ ﻧﻘﻄﺔ اﻟﻰ اﺧﺮى وآﺬﻟﻚ ﻓﻰ ﺿﺒﻂ أﻓﻘﻴﺔ

                      ﻳﺴﺘﺨﺪم ﻓﻰ أﻋﻤﺎل ﻧﻘﻞ اﻟﺮوﺑﻴﺮ ﻣﻦ ﻧﻘﻄﺔ اﻟﻰ اﺧﺮى وآﺬﻟﻚ ﻓﻰ ﺿﺒﻂ أﻓﻘﻴﺔ

       اﻟﺸﺪة اﻟﺨﺸﺒﻴﺔ وﺧﻼﻓﺔ

       اﻟﺸﺪة اﻟﺨﺸﺒﻴﺔ وﺧﻼﻓﺔ

 .

 .


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٦١١

٦١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying


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٧١١

٧١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

Handy held receiver
(Dynamic GPS)

Static GPS receiver

Total station equipped 
With Static GPS receiver

٤

٤

-

-

                         اﻟﻤﻴﺰاﻧﻴﺔ ﺑﺎﺳﺘﺨﺪام أﺟﻬﺰة اﺳﺘﻘﺒﺎل اﻷﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ

                         اﻟﻤﻴﺰاﻧﻴﺔ ﺑﺎﺳﺘﺨﺪام أﺟﻬﺰة اﺳﺘﻘﺒﺎل اﻷﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ

 

 

GPS

GPS

    ﺗﺴﺘﺨﺪم ﺑﻌﺾ أﺟﻬﺰة اﺳﺘﻘﺒﺎل اﻷﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ ﻓﻰ ﻗﻴﺎس ارﺗﻔﺎﻋﺎت اﻟﻨﻘ

    ﺗﺴﺘﺨﺪم ﺑﻌﺾ أﺟﻬﺰة اﺳﺘﻘﺒﺎل اﻷﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ ﻓﻰ ﻗﻴﺎس ارﺗﻔﺎﻋﺎت اﻟﻨﻘ

 ﺎط

 ﺎط

       اﻟﻤﺴﺎﺣﻴﺔ وﻟﻜﻦ ﻻﻋﺘﺒﺎرات ﻓﻨﻴﺔ  ﻻ ﺗﻌﻄﻰ دﻗﺔ ﻋﺎﻟﻴﺔ ﺗﻔﻰ ﻟﻸﻋﻤﺎل اﻟﻬﻨ

       اﻟﻤﺴﺎﺣﻴﺔ وﻟﻜﻦ ﻻﻋﺘﺒﺎرات ﻓﻨﻴﺔ  ﻻ ﺗﻌﻄﻰ دﻗﺔ ﻋﺎﻟﻴﺔ ﺗﻔﻰ ﻟﻸﻋﻤﺎل اﻟﻬﻨ

   ﺪﺳﻴﺔ ذات

   ﺪﺳﻴﺔ ذات

   اﻟﻤﺴﺎﺣﺎت اﻟﺼﻐﻴﺮة

   اﻟﻤﺴﺎﺣﺎت اﻟﺼﻐﻴﺮة

 

 


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٨١١

٨١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

اﻟﺒﺎب اﻟﺮاﺑﻊ

اﻟﺒﺎب اﻟﺮاﺑﻊ

       ﻓﻜﺮة ﻋﺎﻣﺔ ﻋﻦ أدوات اﻟﻤﻮازﻳﻦ اﻟﺒﺴﻴﻄﺔ

       ﻓﻜﺮة ﻋﺎﻣﺔ ﻋﻦ أدوات اﻟﻤﻮازﻳﻦ اﻟﺒﺴﻴﻄﺔ

         ﻓﻰ أﻋﻤﺎل اﻟﻬﻨﺪﺳﺔ اﻟﻤﺪﻧﻴﺔ واﻟﻤﻌﻤﺎرﻳﺔ

         ﻓﻰ أﻋﻤﺎل اﻟﻬﻨﺪﺳﺔ اﻟﻤﺪﻧﻴﺔ واﻟﻤﻌﻤﺎرﻳﺔ


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٩١١

٩١١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

             ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ

             ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ

 )

 )

      اﻟﻔﻘﺎﻋﺔ اﻟﻄﻮﻟﻴﺔ

      اﻟﻔﻘﺎﻋﺔ اﻟﻄﻮﻟﻴﺔ

 (

 (

 

 

Spirit or Tube Level

Spirit or Tube Level

-

-

                  ﻳﺘﻜﻮن ﻣﻦ ﻓﻘﺎﻋﺔ ﻣﺎﺋﻴﺔ ﺗﺘﺤﺮك اﺳﻄﻮاﻧﺔ ﺷﻔﺎﻓﺔ ﻓﻰ اﺗﺠﺎﻩ ﻣﺤﻮر ﻃﻮﻟﻰ

                  ﻳﺘﻜﻮن ﻣﻦ ﻓﻘﺎﻋﺔ ﻣﺎﺋﻴﺔ ﺗﺘﺤﺮك اﺳﻄﻮاﻧﺔ ﺷﻔﺎﻓﺔ ﻓﻰ اﺗﺠﺎﻩ ﻣﺤﻮر ﻃﻮﻟﻰ

.

.

-

-

        ﺗﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻷﺳﻄﺢ ﻓﻰ اﻻﺗﺠﺎﻩ اﻟﻄﻮﻟﻰ

        ﺗﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻷﺳﻄﺢ ﻓﻰ اﻻﺗﺠﺎﻩ اﻟﻄﻮﻟﻰ

.

.

-

-

         ﻟﻠﺘﺤﻘﻖ ﻣﻦ ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ ﻓﻰ اﻟﻄﺒﻴﻌﺔ

         ﻟﻠﺘﺤﻘﻖ ﻣﻦ ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﻄﻮﻟﻰ ﻓﻰ اﻟﻄﺒﻴﻌﺔ

 :

 :

        ﻳﻮﺿﻊ اﻟﻤﻴﺰان ﻋﻠﻰ ﺳﻄﺢ ﻣﺴﺘﻮى ﻓﻰ وﺿﻌﻴﻦ ﻳﺼﻨﻌﺎن ﻣﻊ ﺑﻌﻀﻬﻤﺎ

        ﻳﻮﺿﻊ اﻟﻤﻴﺰان ﻋﻠﻰ ﺳﻄﺢ ﻣﺴﺘﻮى ﻓﻰ وﺿﻌﻴﻦ ﻳﺼﻨﻌﺎن ﻣﻊ ﺑﻌﻀﻬﻤﺎ

٠٨١

٠٨١

   درﺟﺔ

   درﺟﺔ

   .

   .

              اذا ﻇﻠﺖ اﻟﻔﻘﺎﻋﺔ اﻟﻄﻮﻟﻴﺔ ﻓﻰ ﻣﻮﻗﻌﻬﺎ ﻓﻰ اﻟﺤﺎﻟﺘﻴﻦ دل ذﻟﻚ ﻋﻠﻰ ان اﻟﻤﻴ

              اذا ﻇﻠﺖ اﻟﻔﻘﺎﻋﺔ اﻟﻄﻮﻟﻴﺔ ﻓﻰ ﻣﻮﻗﻌﻬﺎ ﻓﻰ اﻟﺤﺎﻟﺘﻴﻦ دل ذﻟﻚ ﻋﻠﻰ ان اﻟﻤﻴ

    ﺰان ﻣﻀﺒﻮط

    ﺰان ﻣﻀﺒﻮط

          وﺧﻼف ذﻟﻚ  ﻳﺮﻓﺾ اﺳﺘﺨﺪاﻣﻪ

          وﺧﻼف ذﻟﻚ  ﻳﺮﻓﺾ اﺳﺘﺨﺪاﻣﻪ


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٠٢١

٠٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

2 axis bubble spirit level

3 axis bubble spirit level

Spirit level 

Spirit level 

(

(

Engineers)

Engineers)


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١٢١

١٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

-

-

                 ﻳﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻷﺳﻄﺢ ﻓﻰ اﻻﺗﺠﺎﻩ اﻟﻄﻮﻟﻰ

                 ﻳﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻷﺳﻄﺢ ﻓﻰ اﻻﺗﺠﺎﻩ اﻟﻄﻮﻟﻰ

 .

 .

-

-

      ﻳﺜﺒﺖ ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

      ﻳﺜﺒﺖ ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ

Tube Level

Tube Level

     ﻓﻰ ﻣﻨﺘﺼﻒ ﺳﻄﺢ ﻟﻮح ﺧﺸﺒﻰ او ﻣﻌﺪﻧﻰ

     ﻓﻰ ﻣﻨﺘﺼﻒ ﺳﻄﺢ ﻟﻮح ﺧﺸﺒﻰ او ﻣﻌﺪﻧﻰ

.

.

-

-

                اﻟﻠﻮح ذات ﻗﻄﺎﻋﺎت أﻓﻘﻴﺔ ﻣﺴﺘﻮﻳﺔ وﻣﻨﺘﻈﻤﺔ ﺗﻤﺎﻣﺎ

                اﻟﻠﻮح ذات ﻗﻄﺎﻋﺎت أﻓﻘﻴﺔ ﻣﺴﺘﻮﻳﺔ وﻣﻨﺘﻈﻤﺔ ﺗﻤﺎﻣﺎ

 .

 .

-

-

                  ﻳﺘﻢ وﺿﻊ اﻟﻤﻴﺰان ﻣﺒﺎﺷﺮة ﻋﻠﻰ اﻟﺴﻄﺢ اﻟﻤﻄﻠﻮب ﺿﺒﻂ اﻷﻓﻘﻴﻪ ﻟﻪ

                  ﻳﺘﻢ وﺿﻊ اﻟﻤﻴﺰان ﻣﺒﺎﺷﺮة ﻋﻠﻰ اﻟﺴﻄﺢ اﻟﻤﻄﻠﻮب ﺿﺒﻂ اﻷﻓﻘﻴﻪ ﻟﻪ

.

.

-

-

                    إذا آﺎن ﻃﻮل اﻟﺴﻄﺢ أآﺒﺮ ﻣﻦ اﻟﻤﻴﺰان ﻧﺴﺘﺨﺪم ﻣﺎ ﻳﺴﻤﻰ

                    إذا آﺎن ﻃﻮل اﻟﺴﻄﺢ أآﺒﺮ ﻣﻦ اﻟﻤﻴﺰان ﻧﺴﺘﺨﺪم ﻣﺎ ﻳﺴﻤﻰ

  اﻹدة

  اﻹدة

 .

 .

-

-

                  ﺑﻌﺾ اﻟﻤﻮازﻳﻦ ﻳﺜﺒﺖ ﺑﻬﺎ ﻣﻮازﻳﻦ اﺿﺎﻓﻴﺔ ﻋﻤﻮدﻳﺔ ﻋﻠﻰ ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻷ

                  ﺑﻌﺾ اﻟﻤﻮازﻳﻦ ﻳﺜﺒﺖ ﺑﻬﺎ ﻣﻮازﻳﻦ اﺿﺎﻓﻴﺔ ﻋﻤﻮدﻳﺔ ﻋﻠﻰ ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻷ

    ﻓﻘﻰ ﻟﻀﺒﻂ رأﺳﻴﺔ

    ﻓﻘﻰ ﻟﻀﺒﻂ رأﺳﻴﺔ

 اﻷﺳﻄﺢ

 اﻷﺳﻄﺢ

.

.

-

-

         ﺑﻌﺾ اﻟﻤﻮازﻳﻦ ﻳﺜﺒﺖ ﺑﻬﺎ ﻣﻮازﻳﻦ ﺗﺼﻨﻊ زاوﻳﺔ

         ﺑﻌﺾ اﻟﻤﻮازﻳﻦ ﻳﺜﺒﺖ ﺑﻬﺎ ﻣﻮازﻳﻦ ﺗﺼﻨﻊ زاوﻳﺔ

٥٤

٥٤

  درﺟﺔ

  درﺟﺔ

       ﻣﻊ ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻷﻓﻘﻰ

       ﻣﻊ ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻷﻓﻘﻰ

 .

 .

      ﻣﻴﺰان اﻟﻤﻌﻤﺎر

      ﻣﻴﺰان اﻟﻤﻌﻤﺎر

)

)

      اﻟﻨﺠﺎرﻳﻦ

      اﻟﻨﺠﺎرﻳﻦ

   (

   (

s Level

s Level

Carpenter

Carpenter


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٢٢١

٢٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

            أﺷﻜﺎل ﻣﺨﺘﻠﻔﺔ ﻟﻤﻴﺰان اﻟﻤﻌﻤﺎر

            أﺷﻜﺎل ﻣﺨﺘﻠﻔﺔ ﻟﻤﻴﺰان اﻟﻤﻌﻤﺎر


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٣٢١

٣٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

Bubble level

 ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى

 ﻣﻴﺰان اﻟﺘﺴﻮﻳﺔ اﻟﺪاﺋﺮى

)

)

اﻟﻔﻘﺎﻋﺔ اﻟﺪاﺋﺮﻳﺔ

اﻟﻔﻘﺎﻋﺔ اﻟﺪاﺋﺮﻳﺔ

(

(

 

 

Circular or Bubble Level

Circular or Bubble Level

-

-

           ﺗﺘﻜﻮن ﻣﻦ ﻓﻘﺎﻋﺔ ﻣﺎﺋﻴﺔ ﺗﺘﺤﺮك ﺣﻮل ﻣﺤﻮر رأﺳﻰ

           ﺗﺘﻜﻮن ﻣﻦ ﻓﻘﺎﻋﺔ ﻣﺎﺋﻴﺔ ﺗﺘﺤﺮك ﺣﻮل ﻣﺤﻮر رأﺳﻰ

 .

 .

-

-

                 ﺗﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻷﺳﻄﺢ ﻓﻰ ﺟﻤﻴﻊ اﻻﺗﺠﺎهﺎت

                 ﺗﺴﺘﺨﺪم ﻟﻀﺒﻂ أﻓﻘﻴﺔ اﻷﺳﻄﺢ ﻓﻰ ﺟﻤﻴﻊ اﻻﺗﺠﺎهﺎت

)

)

٠٦٣

٠٦٣

    درﺟﺔ

    درﺟﺔ

(

(

-

-

            ﻟﻠﺘﺤﻘﻖ ﻣﻦ آﻔﺎءة ﻋﻤﻠﻬﺎ

            ﻟﻠﺘﺤﻘﻖ ﻣﻦ آﻔﺎءة ﻋﻤﻠﻬﺎ

 :

 :

                ﺗﻮﺿﻊ ﻋﻠﻰ ﺳﻄﺢ ﻣﺴﺘﻮى وﻳﺘﻢ دوراﻧﻬﺎ ﺣﻮل ﻣﺤﻮرهﺎ اﻟﺮأﺳﻰ ﻓﻰ ﺟﻤﻴﻊ

                ﺗﻮﺿﻊ ﻋﻠﻰ ﺳﻄﺢ ﻣﺴﺘﻮى وﻳﺘﻢ دوراﻧﻬﺎ ﺣﻮل ﻣﺤﻮرهﺎ اﻟﺮأﺳﻰ ﻓﻰ ﺟﻤﻴﻊ

    اﻻﺗﺠﺎهﺎت

    اﻻﺗﺠﺎهﺎت

  .

  .

                               إذا ﻇﻠﺖ اﻟﻔﻘﺎﻋﺔ ﻓﻰ ﻣﻮﻗﻌﻬﺎ دل ذﻟﻚ ﻋﻠﻰ ﺻﺤﺘﻬﺎ وﺧﻼف ذﻟﻚ ﻳﺮﻓﺾ اﺳﺘﺨﺪا

                               إذا ﻇﻠﺖ اﻟﻔﻘﺎﻋﺔ ﻓﻰ ﻣﻮﻗﻌﻬﺎ دل ذﻟﻚ ﻋﻠﻰ ﺻﺤﺘﻬﺎ وﺧﻼف ذﻟﻚ ﻳﺮﻓﺾ اﺳﺘﺨﺪا

  ﻣﻬﺎ

  ﻣﻬﺎ

   .

   .


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٤٢١

٤٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

       ﻣﻴﺰان رأﺳﻴﺔ اﻷﻋﻤﺪة

       ﻣﻴﺰان رأﺳﻴﺔ اﻷﻋﻤﺪة

 

 

Post Level

Post Level

 

 

      ﻳﻌﺘﺒﺮ هﺬا اﻟﻤﻴﺰان هﻮ اﻷداة

      ﻳﻌﺘﺒﺮ هﺬا اﻟﻤﻴﺰان هﻮ اﻷداة

   اﻟﻤﺜﺎﻟﻴﻪ

   اﻟﻤﺜﺎﻟﻴﻪ

      ﻟﻀﺒﻂ رأﺳﻴﺔ أرآﺎن اﻷﻋﻤﺪة

      ﻟﻀﺒﻂ رأﺳﻴﺔ أرآﺎن اﻷﻋﻤﺪة

      اﻟﻤﺴﺘﻄﻴﻠﺔ واﻟﺪاﺋﺮﻳﺔ ﻣﻦ ﺟﻤﻴﻊ اﻷرآﺎن

      اﻟﻤﺴﺘﻄﻴﻠﺔ واﻟﺪاﺋﺮﻳﺔ ﻣﻦ ﺟﻤﻴﻊ اﻷرآﺎن

.

.

       ﻳﺴﺘﺨﺪم اﻳﻀﺎ ﻓﻰ ﺿﺒﻂ رأﺳﻴﺔ أﻋﻤﺪة اﻷﺳﻮار وأﻋﻤﺪة أﻃﺒﺎق

       ﻳﺴﺘﺨﺪم اﻳﻀﺎ ﻓﻰ ﺿﺒﻂ رأﺳﻴﺔ أﻋﻤﺪة اﻷﺳﻮار وأﻋﻤﺪة أﻃﺒﺎق

       اﺳﺘﻘﺒﺎل اﻷﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ وﺧﻼﻓﻪ

       اﺳﺘﻘﺒﺎل اﻷﻗﻤﺎر اﻟﺼﻨﺎﻋﻴﺔ وﺧﻼﻓﻪ

.

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٥٢١

٥٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

      ﻣﻴﺰان اﻟﺨﻴﻂ

      ﻣﻴﺰان اﻟﺨﻴﻂ

 

 

Line Level

Line Level

   

   

                هﻮ ﻋﺒﺎرة ﻋﻦ ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ ﻳﻌﻠﻖ ﻓﻰ ﺧﻴﻂ ﻣﺮﺑﻮط ﻣﻦ ﻃﺮﻓﻴﻪ ﻳﺘﻢ ﻣﻦ

                هﻮ ﻋﺒﺎرة ﻋﻦ ﻣﻴﺰان ﺗﺴﻮﻳﺔ ﻃﻮﻟﻰ ﻳﻌﻠﻖ ﻓﻰ ﺧﻴﻂ ﻣﺮﺑﻮط ﻣﻦ ﻃﺮﻓﻴﻪ ﻳﺘﻢ ﻣﻦ

     ﺧﻼﻟﻪ ﺿﺒﻂ أﻓﻘﻴﺔ اﻟﺨﻴﻂ

     ﺧﻼﻟﻪ ﺿﺒﻂ أﻓﻘﻴﺔ اﻟﺨﻴﻂ

 .

 .


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٦٢١

٦٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

             ﻣﻴﺰان ﺧﻴﻂ اﻟﺸﺎﻏﻮل

             ﻣﻴﺰان ﺧﻴﻂ اﻟﺸﺎﻏﻮل

Plumb level

Plumb level

 

 

         ﻳﺘﻜﻮن ﻣﻦ ﺧﻴﻂ ﻣﺜﺒﺖ ﻓﻰ أﺳﻔﻠﻪ ﺛﻘﻞ ﻣﻌﺪﻧﻰ ﻣﺪﺑﺐ ﻣﻦ أﺳﻔﻞ

         ﻳﺘﻜﻮن ﻣﻦ ﺧﻴﻂ ﻣﺜﺒﺖ ﻓﻰ أﺳﻔﻠﻪ ﺛﻘﻞ ﻣﻌﺪﻧﻰ ﻣﺪﺑﺐ ﻣﻦ أﺳﻔﻞ

 .

 .

-

-

       ﻳﻌﺘﺒﺮ اﻟﻤﺮﺟﻊ اﻷﺳﺎﺳﻰ ﻟﻘﻴﺎس رأﺳﻴﺔ اﻟﻤﻨﺸﺂت

       ﻳﻌﺘﺒﺮ اﻟﻤﺮﺟﻊ اﻷﺳﺎﺳﻰ ﻟﻘﻴﺎس رأﺳﻴﺔ اﻟﻤﻨﺸﺂت

 .

 .

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      وﻗﺪ اﺳﺘﺨﺪﻣ

      وﻗﺪ اﺳﺘﺨﺪﻣ

     ﻋﻤﺎل اﻟﺒﻨﺎء

     ﻋﻤﺎل اﻟﺒﻨﺎء

 ﻓﻰ

 ﻓﻰ

   ﻋﻬﺪ اﻟﻤﺼﺮﻳﻴﻦ اﻟﻘﺪﻣﺎء وذﻟﻚ ﻟﻀﻤﺎن

   ﻋﻬﺪ اﻟﻤﺼﺮﻳﻴﻦ اﻟﻘﺪﻣﺎء وذﻟﻚ ﻟﻀﻤﺎن

   رأﺳﻴﺔ

   رأﺳﻴﺔ

     اﻟﻤﺒﺎﻧﻰ واﻟﻤﻨﺸﺂت اﻟﻬﻨﺪﺳﻴﺔ

     اﻟﻤﺒﺎﻧﻰ واﻟﻤﻨﺸﺂت اﻟﻬﻨﺪﺳﻴﺔ

 .

 .


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٧٢١

٧٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

      اﻟﻤﻴﺰان اﻟﻴﺪوى

      اﻟﻤﻴﺰان اﻟﻴﺪوى

 

 

Hand level

Hand level


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٨٢١

٨٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

       ﻣﻴﺰان اﻟﻠﻴﺰر اﻟﺨﻄﻰ

       ﻣﻴﺰان اﻟﻠﻴﺰر اﻟﺨﻄﻰ

  

  

Laser line level

Laser line level

  

  

   ﻳﻤﻜﻦ ﻣﻦ ﺧﻼﻟﻪ اﻟﺤﺼﻮل ﻋﻠﻰ ﺧﻂ أﻓﻘﻰ ﺗﻤﺎﻣﺎ

   ﻳﻤﻜﻦ ﻣﻦ ﺧﻼﻟﻪ اﻟﺤﺼﻮل ﻋﻠﻰ ﺧﻂ أﻓﻘﻰ ﺗﻤﺎﻣﺎ

 .

 .

     آﻤﺎ ﻳﻤﻜﻦ اﺳﺘﺨﺪاﻣﻪ ﻟﻀﺒﻂ ﻣﺠﻤﻮﻋﺔ ﻣﻦ

     آﻤﺎ ﻳﻤﻜﻦ اﺳﺘﺨﺪاﻣﻪ ﻟﻀﺒﻂ ﻣﺠﻤﻮﻋﺔ ﻣﻦ

        اﻷهﺪاف اﻟﻤﺴﺎﺣﻴﺔ ﻟﺘﺼﺒﺢ ﻋﻠﻰ اﺳﺘﻘﺎﻣﺔ واﺣﺪة

        اﻷهﺪاف اﻟﻤﺴﺎﺣﻴﺔ ﻟﺘﺼﺒﺢ ﻋﻠﻰ اﺳﺘﻘﺎﻣﺔ واﺣﺪة

.

.

        وﻳﺘﻢ ذﻟﻚ ﺑﺘﻮﺟﻴﻪ ﺷﻌﺎع اﻟﻠﻴﺰر ﻣﻦ أول ﻧﻘﻄﺔ اﻟﻰ

        وﻳﺘﻢ ذﻟﻚ ﺑﺘﻮﺟﻴﻪ ﺷﻌﺎع اﻟﻠﻴﺰر ﻣﻦ أول ﻧﻘﻄﺔ اﻟﻰ

        ﺁﺧﺮ ﻧﻘﻄﺔ ﺛﻢ ﻳﺘﻢ ﺗﺜﺒﻴﺖ اﻟﻨﻘﺎط اﻟﺒﻴﻨﻴﺔ ﻋﻠﻰ

        ﺁﺧﺮ ﻧﻘﻄﺔ ﺛﻢ ﻳﺘﻢ ﺗﺜﺒﻴﺖ اﻟﻨﻘﺎط اﻟﺒﻴﻨﻴﺔ ﻋﻠﻰ

   ﻧﻔﺲ اﻻﺳﺘﻘﺎﻣﺔ

   ﻧﻔﺲ اﻻﺳﺘﻘﺎﻣﺔ

.

.

    

    


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٩٢١

٩٢١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

        ﻣﻴﺰان اﻟﻠﻴﺰر اﻟﻴﺪوى

        ﻣﻴﺰان اﻟﻠﻴﺰر اﻟﻴﺪوى

Handy laser level

Handy laser level

 

 


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٠٣١

٠٣١

Prof. Dr. Eng. Said Elmaghraby

Prof. Dr. Eng. Said Elmaghraby

E_Learning courses in Engineering Surveying

E_Learning courses in Engineering Surveying

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I am glad to receive your additional comments at:

I am glad to receive your additional comments at:

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mail: 

mail: 

saidmaghraby@yahoo.com

saidmaghraby@yahoo.com




رفعت المحاضرة من قبل: Petroleum Engineer
المشاهدات: لقد قام 8 أعضاء و 3744 زائراً بقراءة هذه المحاضرة








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