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 139
than A; that is, the eccentricity is12 134 THE ELLIPSE. between the limits one and zero, for which the ellipse becomes aparabola and a circle. 184. The polar equation, justfound, is equivalent to a very sim-ple relation between the radiusvector and the abscissa of P. Forr =p -j- er cos 0, or r =p… … and = e(FD-f sc) ?DR. Draw the line DB perpendicular to the axis at D, then DR = PB,the perpendicular distance of P from this line, and we have provedthat the distance o/P, any point of the ellipse, from the fixed pointF, and the fixed line DB, are in the constant ratio e : 1. The fixedline is…
Geometry, Analytic
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