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Equally Spaced (Posted on 20180513) 

Let rectangle ABCD have xy coordinates: A(0,0), B(0,h), C(w,h), and D(w,0) where h and w are positve real numbers.
1) Does there exist a point P with xy coordinates (r,s) where r and s are
positive real numbers such that ∠BPA = ∠APC = ∠CPD ?
2) If the answer to question 1) is yes, then are there functions f and g
such that
h = f(r,s) and w = g(r,s) ?
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Submitted by Bractals

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