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

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  • $\begingroup$ Perhaps if you give the definition of Bezier curve. $\endgroup$ – AD. Nov 29 '10 at 21:28
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    $\begingroup$ Bézier curves cannot represent circles; they can approximate them however. Rational quadratics are needed here. $\endgroup$ – J. M. is a poor mathematician Nov 29 '10 at 23:10
  • $\begingroup$ @J.M...can you please elaborate? $\endgroup$ – Elpezmuerto Nov 30 '10 at 18:03
  • $\begingroup$ @ 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? $\endgroup$ – Narasimham Apr 10 '18 at 4:10
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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

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