Originally published in Quora by Andrew J . Sarnat
I like Morley’s trisector theorem—discovered just a little over 100 years ago. The angle trisectors of any triangle intersect in the interior to form an equilateral triangle.
Why counter-intuitive? Because it works for any triangle, lacking symmetry of any kind, yet still conjures up the most symmetric of all triangular figures. A real gem.
Do visit him at Quora and give upvotes.
Do visit him at Quora and give upvotes.
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What are the most counterintuitive results in plane geometry? by Andrew J. Sarnat
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