, ... , Xn
be n≥2 distinct points on a circle C
with center O and radius r. What is the
of points P inside C such that
| = n
,where the line Xi
P also intersects C at point Yi
(In reply to Solution
Praneeth is absolutely correct, though I still do not understand the derivation. Also, the circular arc seems to be a full circle, rather than just an arc.
What I had explored was a slightly different puzzle, where
‡”ni=1 |YiP|/|PXi| = n
Note the numerator and denominator interchanged making each term in the sum the reciprocal.
Posted by Charlie
on 2007-12-15 18:13:44