An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 149
es by the perpendicular distance between them. Therefore the pro-posed parallelogram is the product of a diameter by the distance be-tween tangents parallel to it, or four times the product of a semi-diame-ter by the perpendicular from the centre upon a parallel tangent.Let a represent the… … CP2 = A2B2 A2 sin2 a -j- B2 cos2 amultiplying, etc., we have 4CP X CR = 4AB = 2A X 2B; that is, the parallelogram formed by tangents at the vertices of anyconjugate diameters is equal to the rectangle of the axes. Lines Bisecting the Angles of Focal Lines. 199. For the equations of the linesjoining…
Geometry, Analytic
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