Còpia de Bézier Parabola
- Author:
- Josep, Ryan Hirst
1. Given three arbitrary points in space, A, B, C, the second order Bézier curve has equation:
2. Let ΔABC be an Archimedes triangle with base (chord) AC, and tangents AB, BC.
ΔABC encloses a parabola section.
The two curves are the same.
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Archimedes Triangle: http://www.geogebratube.org/material/show/id/35781
Vector Equation of a Parabola: http://www.geogebratube.org/material/show/id/32226
Tool: Parabola from Archimedes Triangle (two points and the intersection of their tangents): http://www.geogebratube.org/material/show/id/38279