File:Calculer la courbure pour une fonction paramétrique 2d 01.png

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The curvature K of a smooth parametric curve C is :
K = |f' g - g' f| / [ (f')^2 - (g')^2 ]^(3/2)
If P(f(t),g(t)) is a point on the curve  
at which K != 0. The point M(h,k) is the center
of the cuvature for P if   
h = f - g'[f'^2 + g'^2] / [f'g-fg']
k = g + f'[f'^2 + g'^2] / [f'g-fg']
The radius is r = 1/|K| 
Open the file "a_main.plt" with Gnuplot.
Press return to continue. 

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Date
Source Own work
Author Xhungab

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Date/TimeThumbnailDimensionsUserComment
current23:23, 22 December 2023Thumbnail for version as of 23:23, 22 December 2023640 × 384 (24 KB)Xhungab (talk | contribs)Uploaded own work with UploadWizard

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