Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 164
its system of chords ? CHAPTER VIII. HIGHER PLANE CURVES. Art. ioi. There are several other curves known asHigher Plane Curves because their equations are morecomplex, that are used extensively in engineering. Thesewe will consider briefly. THE CYCLOID. The cycloid, much used in gear teeth, is the… … Fig. 58. To -find its equation. Let P( Fig. 58) be the generatingpoint, r the radius CP, OE = x and PE = y for P, andcall Z PCB, 0. Then PE = CD - CB = r - r cos 6. J55 156 Analytical Geometry. That is, y = r — r cos 0 (1) Also x = OE = OD - ED = OD - PB = rd -r sin 6 (2) Since 6 is an extra…
Geometry, Analytic · Calculus
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