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File:Jacobi Elliptic Functions (on Jacobi Ellipse).svg

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English: Plot of the Jacobi ellipse (x2+y2/b2=1, b real) and the twelve Jacobi Elliptic functions pq(u|m) for particular values of angle φ and parameter b. The solid curve is the ellipse, with m=1-1/(b2) and u=F(φ,m) where F(.|.) is the elliptic integral of the first kind. The dotted curve is the unit circle. Tangent lines from the circle and ellipse at x=cd intersecting the x axis at dc are shown in light grey.
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Author PAR
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18 December 2017

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Date/TimeThumbnailDimensionsUserComment
current07:24, 26 March 2018Thumbnail for version as of 07:24, 26 March 2018948 × 993 (70 KB)PARBetter depiction of dc, ds, and dn. Tangent lines pointing to dc included.
13:29, 26 January 2018Thumbnail for version as of 13:29, 26 January 20181,054 × 1,140 (71 KB)PARUse b=Sqrt[2] to give a more familiar value of m=1/2
10:56, 25 January 2018Thumbnail for version as of 10:56, 25 January 20181,009 × 796 (73 KB)PARremove red u and red arc, add e.g. ss=1 to unit lengths.
16:59, 18 December 2017Thumbnail for version as of 16:59, 18 December 2017929 × 780 (77 KB)PARUser created page with UploadWizard

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