An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 370
re or specific curvature at P. §§235-237] THE MEASURE 01 CI RVATURE 237. Expressions for the measure of curvature. If/>, and i>., a/re the principal radii ! a point P the measv/n of curvature at P is —•J P1P2 Let PQ, PR, (fig. 65), be infinitesimal arcs of the lin< curvature through P, and… … Fig. 65. If the angles PC^Q, PC2R are S61 and SO.,, we havePQ = plS61> PR = p,S0.2,and the area PQRS is p^SO^d.,. If pqrs is the horograph corresponding to PQRS, 2Jq = SOv pr = SB,.Therefore the measure of curvature at P PQRS pipJdJO* Plp, Gov. The measure of curvature at a point of the surface…
Geometry, Analytic
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