Advanced Search

Question: Prove Völler's theorem using Maple

Question:Prove Völler's theorem using Maple

Alfred_F 85 Maple 2024
geometry
September 16 2024
3

If you draw a chord in any curve, when the latter becomes infinitely small, the ratio of the surface segment to the triangle formed by the chord and the associated tangents is 2:3.

(Source: Archive of Mathematics and Physics, editor Johann August Grunert, 31st part of 1858, pp. 449-453, "On a remarkable general theorem on curves",
Author: Andreas Völler)

(The curve may be assumed to be sufficiently differentiable.)
Please Wait...