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I. Rational Quadratic Bezier Curves

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I. Rational Quadratic Bezier Curves

P0

P1

P2

All curves share the same Bezier points, but they differ in the weights of the points. The black curve is a parabola w = 1. Above of this all curves are hyperbolas with increasing weigts, below of this are elliptic curves with decreasing weights. The line has a weight of w = 0. After this the weights are negative increasing. The curves are the complementare elliptical arcs to the positive counterparts.

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II. Conic Curves

Circle, Ellipse, Parabola, Hyperbola

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