Orthogonal coordinates - Alchetron, The Free Social Encyclopedia
Orthogonal coordinates - Alchetron, The Free Social Encyclopedia
6 months ago
alchetron.com
(a) Two surfaces are called orthogonal at a point of intersection if their normal lines are perpendicular at that point. Show that surfaces with equations F(x, y, z) = 0 and G(x, y, z) = 0 are orthogonal at a point P where ∇F ≠0 and ∇G ≠0 if and only if FxGx FyGy FzGz = 0 at P (b) Use part (a) to show that the surfaces z^2 = x^2 y^2 and x^2 y^2 z^2 = r^2 are orthogonal at every point of intersection. Can you see why this is true without using calculus? | Numerade
(a) Two surfaces are called orthogonal at a point of intersectio…
Apr 20, 2020
numerade.com
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The shape space of discrete orthogonal geodesic nets | ACM Transactions on Graphics
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