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Ellipse & Hyperbola Construction by Circle

A nice way to construct an ellipse or hyperbola, inspired by the PCMI summer 15, problem set 7, questions 14 and 18. http://mathforum.org/pcmi/hstp/sum2015/morning/darryl/day07.pdf Thanks to Tina Cardone, Bowen Kerins and Darryl Yong.