- 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.
__________________ 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