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For a given radius, theta, and position, can you calculate a Bezier curve?

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    Perhaps if you give the definition of Bezier curve.2010-11-29
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    Bézier curves cannot represent circles; they can approximate them however. Rational quadratics are needed here.2010-11-29
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    @J.M...can you please elaborate?2010-11-30
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    @ J.M. is not a mathematician sir, if we put in vertices of a regular polygon say $n>12,$ then also we dont get a circle of constant curvature?2018-04-10

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In section 2.11 on p. 27 of the following there is a description of how to create a bezier curve that exactly represents an arc.

https://web.archive.org/web/20170830004521/http://www.tsplines.com/resources/class_notes/Bezier_curves.pdf