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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 321

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distant 8s from P. Then, if the area of the triangle PQR is denoted 1 2A 1 2A by A, -=Lt^. Similarly for the projection — = Lt ~-^-, where A, 6V are the projections of A and 8s. But A=Acos/3, and 8s = 8s sin a,whence the result. 205. Geometrical investigation of curvature and tor-sion. The… … M1; M2, M3, ... be the mid-points of the sides. PlanesM-lC^, M2C2S2, ... are drawn through Mx, M2, ... normal tothe sides. M1C1, M^ are the lines of intersection of theplanes M1C1S1, M2C2S2 and the plane A^Agj similarly, M2C2and M3C2 lie in the plane A2A3A4, and so on. Then Cx is the centre of the…

Geometry, Analytic

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