Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 125
Therefore the equations of the circle arekt Fig. 91 54. The ellipse. In a circle with radius a let the abscissa ofevery point Q (fig. 92) be left unchanged and its ordinate bealtered in a fixed ratio b: a, where b is any length whatever.The point Q then takes such a positionas P, where in the… … Fig. 92 the locus of P is an ellipse. 4> is called the eccentric angle of a point on the ellipse, andthe circle x2+y2= a2 is called the auxiliary circle. Ex. A particle Q moves at a constant rate along the auxiliary circle ofan ellipse; required the motion of its accompanying point P.As in § 53,…
Geometry, Analytic · Calculus
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