Follow

@ben_golub

Take points (x,0,0), (0,y,0) and (0, 0, z), x,y,z all positive. Consider the areas of the three triangles defined by a pairsl of these points and the origin. Now consider the triangle B defined by (x,0,0), (0,y,0) and (0, 0, z). The sum of squared areas of the three sides equals the square of the area of B. Indeed the Pythagorean theorem works in any dimension!

@ben_golub

And vice versa! Although I'm here purely as an experiment -- I wasn't on either FB or Twitter, finding the return on time investment too low, or even negative in the case of FB.

Sign in to participate in the conversation
Qoto Mastodon

QOTO: Question Others to Teach Ourselves
An inclusive, Academic Freedom, instance
All cultures welcome.
Hate speech and harassment strictly forbidden.