Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 189
duces to (a;2 + / - 2 axf = b (x + /). EXERCISES 1. Construct the limagons forwhich 6 > 2 a, & = 2 a, and 6 < 2 a.Note the difference in form. When& =2 a, the limacon is called the car-dioid from its heart-shaped form. 2. When b = a, the limagon fur-nishes a neat curve for trisecting… … Fig. 99 Arts. 129, 130] THE CYCLOID 173 MISCELLANEOUS EXERCISES 1. Show that the locus of the intersection of a tangent to the parabola2/2 =— 8 ax and a line drawn through the origin perpendicular to this tangentis the cissoid. SuGGESTiox. The equation of a tangent in terms of the slope is (Art.…
Geometry, Analytic
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