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Analytic geometry of space (1914)

Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 29

An illustration from Analytic geometry of space, 1914, leaf 29
of the three planes, a: + ?/ + 2 = 6,22-y+2a! = 0, x-2y + 33; = 4. 13. The normal form of the equation of a plane. Let ABC (Fig. 11) be any plane. Let OQ be drawn through the origin per-pendicular to the given planeand intersecting it at P. Letthe direction cosines of OQ, beA, fi, V and denote the… … Fio. 11. parallel to the X-, Y-, and Z-axes, respectively. The projections ofOP and OMNP on OQ are equal (Art. 2, Th. II). The projectionof the broken line is \x + fxy + vz, the projection of OP is OP ov jy,so that Xx + ixy + vz=2^. (4) This equation is satisfied by the coordinates of every point P…

Geometry, Analytic

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