Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 106
adius vector isreal^for every value of 6,but since cos 2 9 can neverbe greater than unity, thelocus is entirely containedwithin the circle whose ra-dius is 1. (d) As d varies from— 45° to + 45°, r is posi-tive and the point (r, 0)describes the loop to theright of the pole. Between45° and 135°, cos… … 90 EQUATIONS AND THEIR LOCI [Chap. V. Finally, between 225^ and 315°, r is negative and the point (r, 6) describesthe loop above the pole. The locus is one of a family of curves known as rose curves from theform (Fig. 56). 76. Example X. Discuss the equation r^ = a^ cos 2 d. (ffl) The locus is…
Geometry, Analytic
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