Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 341
constantlinear velocity be v. Then if 6 denotes the angle through which theplane ZOP has swung from its initial position ZOX, the coordinatesof any point P (x, y, z) of the helix are given by the equations I>nt 6 = oit, and accordingly we may have as theparametric equations of the helix, x = a… … Fig. 203 160. Direction of space curve and element of arc. Let P(.r, y, z)be any point of a curve, and Q (x + Ax, y + Ay, z + Az) be anysecond point of the curve. Then the direction cosines of thechord PQ are A.r Ay Az Vaz2 + Ay2 + A/ y/Ax2 + Ay2 + Az2 y/Ax* + Ay2 + Az2 As the point Q approaches…
Geometry, Analytic · Calculus
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