[b]Propositions:[/b]
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: [url]http://www.geogebratube.org/material/show/id/35781[/url]
Vector Equation of a Parabola: [url]http://www.geogebratube.org/material/show/id/32226[/url]
Tool: Parabola from Archimedes Triangle (two points and the intersection of their tangents):
[url]http://www.geogebratube.org/material/show/id/38279[/url]
