User Manual
16-11
.ﺔﻳﺭﻮﶈﺍ ﺕﺎﺤﻄﺴﳌﺍ ﻰﻠﻋ ﻁﺎﻘﻧ ﺙﻼﺛ ﺕﺎﻴﺛﺍﺪﺣﺇ ﻝﺎﺧﺩﻹ ﺎﻫﺭﺎﻴﺘﺧﺎﺑ ﻢﻗ ... 3(POINTS)
."Invalid Setting" ﺄﻄﳋﺍ ﺙﻭﺪﺣ ﻲﻓ ﺐﺒﺴﺘﻴﺳ ﻩﺎﻧﺩﺃ ﺕﻻﺎﳊﺍ ﻦﻣ ﻱﺃ ﻊﻣ ﻖﺑﺎﻄﺘﻳ ﻞﻣﺎﻌﻣ ﻝﺎﺧﺩﺇ  •
 c=0 ﻭﺃ b=0 ﻭﺃ a=0 :EXPRESS  • 
:VECTOR  • 
 .
0 ﻲﻫ v ﺕﺎﻬﺠﺘﳌﺍ ﻭﺃ u ﺕﺎﻬﺠﺘﳌﺍ ﺕﻼﻣﺎﻌﻣ ﺎﻣﺇ ﺎﻤﻫﺍﺪﺣﺇ ﻭﺃ ،v ﺕﺎﻬﺠﺘﳌﺍﻭ u ﺕﺎﻬﺠﺘﳌﺍ ﺕﻼﻣﺎﻌﻣ ﻼﻛ •   
.ﻪﺗﺍﺫ ﻩﺎﲡﻻﺍ 
v ﺕﺎﻬﺠﺘﳌﺍﻭ u ﺕﺎﻬﺠﺘﳌﺍ ﻯﺪﻟ •   
 :
POINTS  • 
 .ﺎﻬﺗﺍﺫ ﺔﻤﻴﻘﻟﺍ ﻁﺎﻘﻧ ﺙﻼﺜﻟﺍ ﻦﻣ ﲔﺘﻄﻘﻧ ﻯﺪﻟ  •   
.ﻢﻴﻘﺘﺴﻣ ﻂﺧ ﻰﻠﻋ ﺓﺩﻮﺟﻮﻣ ﻁﺎﻘﻧ ﺙﻼﺜﻟﺍ  •   
Sphere ﺝﺫﻮﳕ u
.ﺕﻼﻣﺎﻌﳌﺍ ﻦﻣ ﲔﻋﻮﻨﻟ ﻝﺎﺧﺩﺇ ﺕﺎﺷﺎﺷ ﻙﺎﻨﻫ
.
(X−a)
2
+(Y−b)
2
+(Z−c)
2
=r
2
 ﻲﻓ ﺔﺻﺎﳋﺍ ﺕﻼﻣﺎﻌﳌﺍ ﻝﺎﺧﺩﻹ ﻩﺭﺎﻴﺘﺧﺎﺑ ﻢﻗ ... 1(FACTOR)
.X
2
+Y
2
+Z
2
+aX+bY+cZ+d=0 ﻲﻓ ﺔﺻﺎﳋﺍ ﺕﻼﻣﺎﻌﳌﺍ ﻝﺎﺧﺩﻹ ﻩﺭﺎﻴﺘﺧﺎﺑ ﻢﻗ ... 2(EXPAND)
."Invalid Setting" ﺄﻄﳋﺍ ﺙﻭﺪﺣ ﻲﻓ ﺐﺒﺴﺘﻴﺳ ﻩﺎﻧﺩﺃ ﺕﻻﺎﳊﺍ ﻦﻣ ﻱﺃ ﻊﻣ ﻖﺑﺎﻄﺘﻳ ﻞﻣﺎﻌﻣ ﻝﺎﺧﺩﺇ  •
ﻞﻗﺃ ﻭﺃ 
r = 0 :FACTOR  • 
.
a
2
+b
2
+c
2
>4d ﻝﺎﺧﺩﻹﺍ ﺕﻼﻣﺎﻌﻣ ﻲﻓﻮﺘﺴﺗ ﻻ :EXPAND  • 










