In the first video, I will go over the general picture of the torus, and define are two radii a and b. We will use our visual understanding to compute a position vector valued function of our torus in the preceding video.
Do you know if the Paraboloid volume formula can be proven this way too? Until now all my attempts failed, and I can't understand the archimedean proof using the "lever law".
Solve what? The lever law or the volume formula? Through calculus it's easy, but that's not my favorite way. I like proofs that don't use any Cartesian math, functions and integration etc. Proofs simple as the area of circle.
