User Manual
2-5
'
  ﻊﻣ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﺽﺮﻋ ﻕﺎﻄﻧ  u
.ﲔﺗﺪﻣ ﻰﺘﺣ '  ﻊﻣ ﺔﺠﻴﺘﻨﻠﻟ ﻢﻋﺪﻣ '  ﻞﻜﺷ ﻲﻓ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﺽﺮﻋ 
 .ﺔﻴﻟﺎﺘﻟﺍ ﻝﺎﻜﺷﻻﺍ ﻦﻣ ﺍﺪﺣﺍﻭ ﺬﺧﺄﺗ 
'  ﻞﻜﺷ ﻲﻓ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ
±  a 'b , ±  d  ±  a 'b , ±  
a
'
b
c
 ±  
d
'
e
f
 .'  ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﻞﻜﺷ ﻲﻓ ﺎﻬﺿﺮﻋ ﻦﻜﳝ ( a ،  b ، c ، d ، e ، f ) ﺕﻼﻣﺎﻌﳌﺍ ﻦﻣ ﻞﻜﻟ ﺕﺎﻗﺎﻄﻨﻟﺍ ﻲﻫ ﻲﻠﻳ ﺎﻣ
 • 
1 < a  < 100, 1 < b  < 1000, 1 < c  < 100       
0 < d  < 100, 0 < e  < 1000, 1 < f  < 100         
 ( a , c , d ) ﺎﻬﺗﻼﻣﺎﻌﻣ ﺖﻧﺎﻛ ﺍﺫﺍ ﻰﺘﺣ '  ﻞﻜﺷ ﻲﻓ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﺽﺮﻌﺗ ﺪﻗ ،ﺔﻴﻟﺎﺘﻟﺍ ﺎﻳﺎﻀﻘﻟﺍ ﻲﻓ  • 
.ﻩﻼﻋﺍ ﺕﺎﻗﺎﻄﻨﻟﺍ ﺝﺭﺎﺧ
ﻡﺎﻋ ﻢﺳﺎﻘﻛ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻨﻟ 
A ' ﻞﻜﺷ ﻡﺪﺨﺘﺴﻳ 
a
'
b
c
 + 
d
'
e
f
 →  
a
´
'
b 
+ 
d
´
'
e
c
´
  . f   ﻭ c ﻝ ﻡﺎﻋ ﻒﻋﺎﻀﻣ ﻰﻧﺩﺍ ﻥﻮﻜﻳ     c´*    
  ﻡﺍﺪﺨﺘﺳﺎﺑ ﺔﻴﻟﺎﳊﺍ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﺽﺮﻌﺗ ﺪﻗ ، ﺎﻣﺎﻋ ﺎﻤﺳﺎﻘﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﻡﺍﺪﺨﺘﺳﺍ ﺪﻨﻋ 
.( a , c , d ) ﺕﻼﻣﺎﻌﻤﻠﻟ ﻖﺑﺎﻄﻣ ﻕﺎﻄﻧ ﺝﺭﺎﺧ ( a ´,  c ´,  d ´) ﺕﻼﻣﺎﻌﻣ ﺖﻧﺎﻛ ﺍﺫﺍ ﻲﺘﺣ '  ﻞﻜﺸﻟﺍ
'
3
11
 + 
'
2
10
 = 
10
'
3 + 11
'
2
110
 :ﻝﺎﺜﻣ  
ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻤﻠﻌﻟﺍ ﺔﻠﺜﻣﺃ   
ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍﺔﻴﻟﺎﺘﻟﺍ ﺽﺮﻌﻟﺍ ﻉﺍﻮﻧﺍ ﺞﺘﻨﺗ
 2 ×  (3 – 2 '5) = 6 – 4 '5 
'ﻞﻜﺷ
 35 '2  ×  3 = 148.492424 (= 
105
 '2)* 
1  
ﻱﺮﺸﻌﻟﺍ ﻞﻜﺷ
150
'
2
25
 = 8.485281374* 
1  
99 999 = 3129.089165 (= 297 111)*
1
 23 ×  (5 – 2 '3) = 35.32566285 (= 
115
 – 46 '3)* 
1  
ﻱﺮﺸﻌﻟﺍ ﻞﻜﺷ
' 2 + '3 + ' 8 = '3 + 3 '2  'ﻞﻜﺷ
'
2 + 
'
3 + 
'
6
 = 5.595754113* 
2  
ﻱﺮﺸﻌﻟﺍ ﻞﻜﺷ
ﻕﺎﻄﻨﻟﺍ ﺝﺭﺎﺧ ﻥﻮﻜﺗ ﻢﻴﻘﻟﺍ ﻥﻻ ﻱﺮﺸﻋ ﻞﻜﺷ  
1
* 
  .ﺩﻮﻨﺑ ﺙﻼﺛ ﺎﻬﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﻥﻻ ﻱﺮﺸﻋ ﻞﻜﺷ  
 2
 * 
 ﺮﺒﻛﺍ ﻰﻟﺍ ﺔﻄﺳﻮﺘﳌﺍ ﺔﺠﻴﺘﻨﻟﺍ ﺖﻠﺻﻭ ﻮﻟﻭ ﻲﺘﺣ ﻱﺮﺸﻌﻟﺍ ﻞﻜﺸﻟﺍ ﻡﺍﺪﺨﺘﺳﺎﺑ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﺽﺮﻌﺗ  
• 
.ﻦﻳﺪﻨﺑ ﻦﻣ
(1 + '2 + '3) (1 – '2 – '3) (= – 4 – 2 '6)   : ﻝﺎﺜﻣ    
= –8.898979486     
 ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻨﻓ ، ﺮﺴﻜﻛ ﻪﺿﺮﻋ ﻦﻜﳝ ﻻ ﻱﺬﻟﺍ ﺢﻠﻄﺼﳌﺍ ﻭ '  ﺢﻠﻄﺼﻣ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﻐﻴﺻ ﺖﻧﺎﻛ ﺍﺫﺍ  • 
.ﻱﺮﺸﻌﻟﺍ ﻞﻜﺸﻟﺍ ﻲﻓ ﺽﺮﻌﺘﺳ ﺔﻴﺑﺎﺴﳊﺍ
log3 + '2 = 1.891334817    :ﻝﺎﺜﻣ    










