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 164
its direction ratio andXi B2 that of the polar is . Accordingly, if CPX is made the axis of AX, so that Yx = 0, the equation of the polar is XXX == A2 or A2 X = —, showing that it is parallel to the axis of Y. In thisX, equation, A represents the semi-diameter CA, which was made the axis of X, and… … 160 THE ELLIPSE. The chord P2P3 is a double ordinate to the diameter CA, andsince by the last Article the tangents at P2 and P3 pass through Px,we see that the tangents at the extremities of a double ordinatemeet on the diameter produced, and make an intercept which is athird proportional to the…
Geometry, Analytic
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