The Wikipedia article on modern triangle geometry has an image labled “Artz parabolas” with no explanation. A quick search didn’t turn up anything about Artz parabolas, but apparently the parabolas go through pairs of vertices with tangents parallel to the sides. The derivation is a little complicated, but here’s code that will find the parameters […] The post Finding a parabola through two points with given slopes first appeared on John D. Cook.
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