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 250
ch the perpendicular from the centre of anupon a tangent cuts the ordinate of the point of contact. Let P be the point of inter-section, and let <p be the eccen-tric angle of the point of con-tact, Px. Then the equationof the line CP, perpendicularto the tangent (or parallel to thenormal, Art.… … B hence cos <p = and sin tp = By Eliminating <p by substitution in sin2 (p -j- cos2 <p = 1, we find By xA2 = 1, 21 246 GEOMETRICAL LOCI. the equation of an ellipse, whose semi-axes are A and B The latter being a third proportional to B and A, the locus is similarto the given ellipse, and…
Geometry, Analytic
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