Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 272
z^ and passing through the absolute.This is identical with the equation of the point sphere (Art. 48).If t is not constant, but a function of u, we may take t as theparameter. Let u = \j/(t), and let <j>(u)du — <J>(iJ/(t))\l/ (t)dt be replaced by F(t)dt. Equations (29) have the form… … ®i9 yi> *i being constants. The equations of any non-rectilinearminimal curve may be expressed in this form. EXERCISES1. The curve is called a circular helix. Find the parametric equations of the curve interms of the length of arc. 254 DIFFERENTIAL GEOMETRY [CHAP. XIV. 2. At an arbitrary point…
Geometry, Analytic
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