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Subject: Re: Who invent Bezier curve approximation for Arc



Kingdom,

perhaps it's allowed to modify your question a little:

Who had invented the formula

k=3D(4/3)*tan(a/4)

for the tangent lenghts of a single cubic B=E9zier for the
approximation of a unit circle segment which starts at
angle 0 and ends at angle a ?

This means: the first two control points for a unit circle
segment are P0=3D(1,0), P1=3D(1,k).
The other control points are found by P3=3D(cos(a),sin(a))
and going from there with tangent length k to P2.

Best regards --Gernot Hoffmann


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