Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 263
= z^, and y = z^. 246 EQUATIONS AND THEIR LOCI [Chap. XIV. 190. The circular helix. An important curve in mechanics isthe circular helix. Its parametric equations are X = a cos 6, y = a sin 6, z = hO, where 9 is the parameter. The equations of the projecting cylinders are x^ -\- y^ a cos -, y ■ za… … y = a sm The helix is there- FiG. 140 fore a curve wound around thecircular cylinder, the distance be-tween two consecutive turns being2 67r (Fig. 140). EXERCISES 1. Plot the curves : (a) x = 2r, y = r^, z = — — ■ {b) x ^ecosi?, y=6sm9, g = -^ + ^°^^^.4 2. Construct a circular helix when 6 is a…
Geometry, Analytic
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