Menelaus’ theorem, named after Menelaus of Alexandria, is a proposition about triangles in plane geometry. Given a triangle ABC, and a transversal line that crosses AB, AC, and BC at points X, Y, and Z respectively, then (AX/XB) x (BZ/ZC) x (CY/YA) = 1. (In vector version, the RHS is -1)
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Ceva’s theorem (named after an Italian mathematician Giovanni Ceva) is a theorem about triangles in plane geometry. Given a triangle ABC, let the lines AK,…
Pythagoras Theorem AKA Bodhayana Prameya is one of the important results in Mathematics. The statement goes like this: The square on the hypotenuse of a…
The Pythagorean Theorem has been proved many times, and probably will be proven many more times. But only one proof was made by a United…
AB is perpendicular to BC. E and F are two points on BC such that AB = BE = EF = FC. Angles AEB, AFB,…
Is it possible to draw a square whose area is equal to the sum of the areas of two squares? Similarly, is it possible to…
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