Unformatted text preview: applied to PL , with width equal to the abcissa. Accordingly, Apollonius calls this curve a parabola (the Greek word for “application” is παραβολή ) [ 25 , p. 359]. If we take rectangular coordinates in P with the origin at P and axes parallel to QV ( y =  QV  ) and PV ( x =  PV  ), then denoting the length of the orthia PL by p , we obtain the equation for the rectangular coordinates of Q y 2 = px. (2.4) 7 the Latin translation of this term is latus rectum , although this term has come to mean a slightly diFerent quantity, the parameter of ordinates. 8 Details of a proof are in Appendix A...
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 Fall '08
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 Calculus, Conic Sections, Conic section, Rectangular Coordinates

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