Diagram, A solution to a geometric problem by John Collins Diagram for solving two problems posited in the mathematical writings on the calculation of conic sections by Apollonius of Perga (late 3rd - early 2nd century BC). John Collins used geometrical methods to solve these problems. Diagrams show traingle and polygon with intersecting lines through them, and intersections labelled. Accompanying text reads: 'It is requested to know the Transverse Axis of that Conicall Section whose Vertex is G whose focus R, S being a Point in the Section. It is required to find the transverse Axis of that Hyperbole whose Center is G, and RG part of one of its Assymptotes GS a Semidiameter of the said Hyperbole, and RS a line southing the Hyperbole in the Point S.' Subject: Mathematics 17th century