Propositions:
1. A second order Bézier curve is the parabola section enclosed by the Archimedes triangle whose vertices are the three given points.
2. Determine a vector equation of the parabola.
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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
