Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 125
»A1; A M ETRIC REPRESENTATION 53. The circle. Let P(x, y) (fig. 91) be any point on a circlewith its center at the origin 0 and its radius equal to a. Let </>be the angle made by OP and OX. Then, from the definition ofthe sine and cosine, x = a cos cj>, y = a sin c/>, are the parametric… … 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…
Geometry, Analytic · Calculus
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