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Elements of analytic geometry (1884)

Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 85

An illustration from Elements of analytic geometry, 1884, leaf 85
p] PM: PN = cos <a: : cos /?. Therefore, if the equations of the sides Ya and Y/3 are N = 0 : N = 0, then, by the theorem of § 59, Ex. 4, the equation of the per-pendicular YP will be N cos p ~ N cos a = 0. In the same way, if the equation of ap is N = 0, weshall have, for the equations of the… … 61. Diagonals of a Quadrilateral. An elegant and in-structive application of the preceding theory is given by thefollowing problem: To find the cquatioiis of the diagonals of a quadrilateral ofluhich the equations of the four sides are given. We remark that, in general geometry, a quadrilateral has…

Geometry, Analytic

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