
اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ
اﻟﻤﻴﺰاﻧﻴﺔ اﻟﻬﻨﺪﺳﻴﺔ
Engineering Leveling
Engineering Leveling
أ
أ
.
.
د
د
/
/
ﺳﻌﻴﺪ اﻟﻤﻐﺮﺑﻰ
ﺳﻌﻴﺪ اﻟﻤﻐﺮﺑﻰ
ﻗﺴﻢ ﻣﺪﻧﻰ
ﻗﺴﻢ ﻣﺪﻧﻰ
-
-
هﻨﺪﺳﺔ اﻷزهﺮ
هﻨﺪﺳﺔ اﻷزهﺮ
ﺳﻠﺴﻠﺔ اﻟﻤﺤﺎﺿﺮات اﻹﻟﻴﻜﺘﺮوﻧﻴﺔ ﻓﻰ ﻋﻠﻢ اﻟﻤﺴﺎﺣﺔ
ﺳﻠﺴﻠﺔ اﻟﻤﺤﺎﺿﺮات اﻹﻟﻴﻜﺘﺮوﻧﻴﺔ ﻓﻰ ﻋﻠﻢ اﻟﻤﺴﺎﺣﺔ
E
E
–
–
Learning courses
Learning courses

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

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

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
.
.

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

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
.
.

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

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
.
.

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

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
.
.

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
(
(
.
.

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

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)

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

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

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

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

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

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

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

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
.
.

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

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

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

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

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

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
.
.

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
.
.

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
.(
.(

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

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

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

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

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

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

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

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
.
.

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
.
.

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

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

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

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
(
(

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
:
:

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
.
.

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
.
.

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

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

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

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
2
3
4
ﻗﺮاءة اﻟﺸﻌﺮة اﻟﻮﺳﻄﻰ
=
٣٩٩٫٢

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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
(
(

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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
:

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
.
.

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
ﻣ
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

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

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
L
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
1
1
-
-
S
S
2
2
)
)
-
-
(S
(S
3
3
-
-
S
S
4
4
) mm / Lm
) mm / Lm

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)

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

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

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

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

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

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
ﺔ
ﺔ
.
.
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
.
.

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

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

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
.
.

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

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
.
.

٦١١
٦١١
Prof. Dr. Eng. Said Elmaghraby
Prof. Dr. Eng. Said Elmaghraby
E_Learning courses in Engineering Surveying
E_Learning courses in Engineering Surveying

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

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

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

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)

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

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

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
.
.

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
.
.

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
.
.

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
.
.
-
-
وﻗﺪ اﺳﺘﺨﺪﻣ
وﻗﺪ اﺳﺘﺨﺪﻣ
ﻪ
ﻪ
ﻋﻤﺎل اﻟﺒﻨﺎء
ﻋﻤﺎل اﻟﺒﻨﺎء
ﻓﻰ
ﻓﻰ
ﻋﻬﺪ اﻟﻤﺼﺮﻳﻴﻦ اﻟﻘﺪﻣﺎء وذﻟﻚ ﻟﻀﻤﺎن
ﻋﻬﺪ اﻟﻤﺼﺮﻳﻴﻦ اﻟﻘﺪﻣﺎء وذﻟﻚ ﻟﻀﻤﺎن
رأﺳﻴﺔ
رأﺳﻴﺔ
اﻟﻤﺒﺎﻧﻰ واﻟﻤﻨﺸﺂت اﻟﻬﻨﺪﺳﻴﺔ
اﻟﻤﺒﺎﻧﻰ واﻟﻤﻨﺸﺂت اﻟﻬﻨﺪﺳﻴﺔ
.
.

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

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
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.
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
.
.

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
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