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let be ABCD the great square,EFGH the little square,r the rotation by 90 about Ethe coordinates are:A(0,0);B(s,0);C(s,s),D(0,s)E(a,b);F(c,d)H=r(F)H(a+b-d,b+c-a)G(b+c-d,c+d-a)Now it's easy to findn²+l²=AE²+CG²=BF²+DH²=m²+k²
http://geometri-problemleri.blogspot.com.es/2012/09/problem-110-ve-cozumu.html
let be ABCD the great square,EFGH the little square,r the rotation by 90 about E
ReplyDeletethe coordinates are:
A(0,0);B(s,0);C(s,s),D(0,s)
E(a,b);F(c,d)
H=r(F)
H(a+b-d,b+c-a)
G(b+c-d,c+d-a)
Now it's easy to find
n²+l²=AE²+CG²=BF²+DH²=m²+k²
http://geometri-problemleri.blogspot.com.es/2012/09/problem-110-ve-cozumu.html
ReplyDelete