# Normal to a curve

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 October 3, 2003, 03:40 Normal to a curve #1 Pr Guest   Posts: n/a Is there any mathematical formula available for getting a normal or perpendicular to a curve from some arbitrary points. Thanks for any help Pr

 October 3, 2003, 11:53 Re: Normal to a curve #2 xueying Guest   Posts: n/a Map the curve to an easy shape, and the mapping if matrix F. ! ==> Normal ! recall: n = cofF . N / mu in rheology class note ! Fij = dx_i/dxi_j = XY_XIETA ! ! -T ! F . N ! n = ------------ ! -T ! | F . N | ! n is the unit normal vector that you want, N is the unit normal vector in reference domain.

 October 4, 2003, 13:01 Re: Normal to a curve #3 TPallidum Guest   Posts: n/a Given some points on a curve, use your favorite method to numerically evaluate the gradient.

 October 6, 2003, 05:52 Re: Normal to a curve #4 Ag Gaire. Guest   Posts: n/a n = -(GRAD Phi)/|GRAD Phi|). See Anton, "Calculus" for an excellent explaination of all sorts of this type of idea.

 October 6, 2003, 06:08 Re: Normal to a curve #5 Pr Guest   Posts: n/a Hey thanks for the solution. But actually I want to argue with your answer. You had written for gradients.I can calculate gradient of curve at certain discrete points at which function or curve is defined.let us say I have 50 points I can get 50 values. But from arbitrary point(A) which does not lie on the curve I want to find the normal.so one or more lines from point A to the 50 points on the curve will be normal. This procedure becomes time consuming when curve ponts increases. So I want to ask here is there any other method to do this. Pr

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