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Error in final equations for Circular arcs and Cubic Beziers #333

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JWCS opened this issue Nov 19, 2021 · 0 comments
Open

Error in final equations for Circular arcs and Cubic Beziers #333

JWCS opened this issue Nov 19, 2021 · 0 comments

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@JWCS
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JWCS commented Nov 19, 2021

\textit{control}_{~1} &= (r,~k) \\

The whole unit circle situation should be scaled by r, but for the final equations, control point 1, r doesn't get multiplied to the y-term (k).

On a minor note, while reading this section, the TL;DR knowledge / assertion that I was looking for was that the vector-magnitudes of the control points from the start/end points were both the same, and equal to r*k (and the arc eqn for k, that was useful), in the direction of the circle tangent.

Thanks for the guide!

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