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: 242
: 26
:
: 18/08/2008

: "    18, 2008 2:35 pm







" " (36) ( ) (103 ) ( ) (747 ). . ǡ . . .




ɡ . ɡ ɡ ɡ . ѡ ʡ ɡ . Ρ " " " " " "(1) " ". .




( 114 ) ɡ :




(1+2+3+.......+114) ( 6555 ) : ( 114+1) 114 2 = 6555




: (6236) ɿ




"" (60) ʡ : (286) ɡ (176) Ʌ.κ (54) (7) (129) ..




: . (60) (54) (19) ѡ (19) . : (( 19 )). : (6 19 = 144 )




(6 10 = 60) (6 9 = 54). "" (60) (30) () (30) () (54) (27) (27) .




: . :




(114)




(60) (54)




(30) (30) (27) (27)




(60) (60) ݡ (30) ȡ (30) . (54) (54) ݡ (27) ȡ (27) . (54) ݡ (60) . . ɡ .




(57) ɡ ȡ ȡ (57) (30+27) .




: :




:




- (1) (7) -




- (2) (286) -




- (4) (176) -




:




- (3) (200) -




- (5) (120) -




- (6) (165) -




: ɡ ǡ




(6236) .




(57) ɡ ǡ (6555) (1-114).




= .




= :




- + ()= = (6236)




- + ( )= = (6555).




ǡ ǡ .




= (285) ɡ ʡ (55) (59). . (286) (3) (2) ɡ . (286+3) ɡ (200+2) ɡ (57) (6236) (57) (6555).




(114) ʡ .




"" :-




(114+1) 60 2 = 3450




(114+1) 54 2 = 3105




= 6555




(60) (3450) (54) (3105) (6555) (114+1) 114 2 (114+1) ( 60 + 54) 2




:- . ݡ ( ) (17) () (3). (3) (17) ѡ (60) (3464) (54) (3091) (60) - - : ( 114 +1 ) 60 2 = 3450 . (114).




"" : (1-57) ( 58-114). (29) ǡ (28) (28) (29). "" (28) ɡ (29) . (29) (28).




:- . .




"" (27) ɡ (33) ɡ (27) (2690) (33) .




: - .




- (57) ɡ (19 3) ( 3 10 ) (30) (3 9 ) (27) (27) ɡ (30) . . ݡ (60) (6 10 ) (54) (6 9 ) .




:-




114 = 19 6 = (60+54)




57 = 19 3 = (30+27)






" " ɡ :-




- (57) "" (29) ɡ : (57 29 = 1653 ) (1-57) (57+1) 57 2 = ( 1653).




- () ɡ () () (1+30+8+4+10+4)=(57) () . () (8+4+10+4) =(26) ϡ (57) !!




- (5) ѡ (59,58,57,56,55) (57) (285).




- " " (285) ǡ (145) ɡ () (15)ɡ (3) (17) ǡ (285) ǡ (309)(950) .




: (285) (1+2+3..........+ )=(285) : (23).




:




(23285)=(6555) !!




- () : " ".




(285) () (285).




:




1- . .




2- ɡ .




3- ɡ . ޡ .




4- .




5- . .




6- ɡ .



    
 
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