All Triangles are Equilateral - Numberphile
A proof that all triangles are equilateral - can you see a problem with it? Featuring Carlo Séquin. Discuss on reddit: http://redd.it/2ldovm More links & stuff in full description below ↓↓↓...
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I, Carlo Séquin, will prove to you that any triangle that you draw is equilateral. That means it has the same length of the sides all around. So I'm starting with three intersecting lines, and a second one here, and a third one here, and I mark the intersection vertices as the vertices of a triangle: A, B, and C. That does not look, you know, equilateral (not too far off), but it is certainly arbitrarily drawn. Now, I'm taking the middle point of the side BC (I call this M), and I draw the perpendicular bisector. So I'm drawing a line that's perpendicular, coming out of M, going off in that particular direction. And, of course, we have a right angle here. Now you know that this line is the locus of all the points that are equidista...
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I, Carlo Séquin, will prove to you that any triangle that you draw is equilateral. That means it has the same length of the sides all around. So I'm starting with three intersecting lines, and a second one here, and a third one here, and I mark the intersection vertices as the vertices of a triangle: A, B, and C. That does not look, you know, equilateral (not too far off), but it is certainly arbitrarily drawn. Now, I'm taking the middle point of the side BC (I call this M), and I draw the perpendicular bisector. So I'm drawing a line that's perpendicular, coming out of M, going off in that particular direction. And, of course, we have a right angle here. Now you know that this line is the locus of all the points that are equidista...
