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>> No.11275877 [View]
File: 31 KB, 1117x555, 2d circle projected onto a 3d line.png [View same] [iqdb] [saucenao] [google]
11275877

Suppose I have an arbitrary curve on a plane, maybe a circle or a square.
Is there any way to project the plane onto a line in such way that any vector inside the circle will be inside a particular line segment on the projected line? I think it isn't possible but I'm not sure.
Assuming it isn't, how about projecting the 2d curve onto a 3d line? Can we make it in such a way any vector inside the circle will be inside the line segment?

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