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 Home > Shapes > Geometry It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
Latest: Regular N-gon Rating: 4.00

n≥=3 lines lie in the same plane and are concurrent at point O.
If y = mx is the equation of a line passing through the origin O
(where m is the slope), then mk labels the line y = tan(k*180°/n)*x
(for k = 0 to n-1). Note: If n is even and k = n/2, then line mk is
perpendicular to line m0. Point P (distinct from O) is an arbitrary point
in the plane of the n lines. Fi is the foot of the perpendicular from
point P to line mi (for i = 0 to n-1).

Prove that F0F1...Fn-1 is a regular n-gon.

 (No Solution Yet, 2 Comments) Submitted on 2017-07-09 by Bractals
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