Friday, June 16, 2017

creative thoughts

More properties of Pythagorean triples
The  relation a2  + b= c2  has an inherent feature in which twice of cis equal to a  sum of two squares  where  the greater number is [c +(a – 1)] while the smaller number is [c + (a+1)].
2 x 52  = 12  +  72   ; (5 - 4)2  + (5 + 2)2
2 x 132  = 72  + 172 ; (13 – 6)2  + (13 + 4)2
2 x 252  = 172 + 312 ; (25 – 8)+ (25 + 6)2
2 x 412  = 312 + 492 ; (41 – 10)2  + (41 + 8)2
2 x 612  = 492  + 712 ; (61 – 12)2  + (61 + 10)2

2 x 852  = 712  + 972 ; (85 – 14)2  + (85 + 12)2






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