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transformation to lines and circles

asked 2016-11-11 04:34:40 +0200

Daniel L gravatar image

I'd like to take a circle and apply a transformation to it (such as a reflection or a translation). For instance, if T1 is translation 1 unit right and c1 = circle((0,0),1), I'd like to be able to plot T1(c1) (the image of c1 under T1, which is the circle with new center (1,0)). How can I do this?

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answered 2016-11-11 06:27:31 +0200

slelievre gravatar image

Currently this is only implemented for 3d graphics.

See this discussion and the example there: sage-support: 2D translate, rotate.

So just add a third coordinate to your circle...

Note that Sage trac ticket #16484 (Transformations for 2D plots) is precisely about implementing what you are asking, but there has been no work on this so far.

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Thanks. While we're on the topic of geometric transformations, is there a way to do inversion in a given circle?

Daniel L gravatar imageDaniel L ( 2016-11-11 20:29:56 +0200 )edit

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Asked: 2016-11-11 04:34:40 +0200

Seen: 348 times

Last updated: Nov 11 '16