Let P and P’ denote points inside rectangles ABCD and A’B’C’D’, respectively. If PA = a+b, PB=a+c, PC = c+d, PD =b+d, P’A=ab, P’B’=ac, P’C’=cd, prove that P’D’=bd.
(Pi Mu Epsilon Journal – 4(Spring 1967)258, proposed by Stanley Rabinowitz)
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*Let sides AB and CD are the horizontal sides, and sides BC and AD are the vertical sides.
*Draw [...]
RP
“Mathematics, rightly viewed, possesses not only truth, but supreme beauty” Bertrand Russell
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