Apollonius of Perga

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Apollonius of Perga,

fl. 247–205 B.C., Greek mathematician of the Alexandrian school. He produced a treatise on conic sections that included, as well as his own work, much of the work of his predecessors, among whom was Euclid. Apollonius introduced the terms parabola, hyperbola, and ellipse. In his works Greek mathematics reached its culmination.
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In his second monograph on ancient prefaces, Prolegomena Mathematica: From Apollonius of Perga to Late NeoPlatonism, Jaap Mansfeld observes that Almagest 1.
Curiously enough, Apollonius of Perga actually gave a solution to the problem in his Tangencies.