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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 42

An illustration from Analytic geometry of space, 1914, leaf 42
Fig. 15 15) X = mz + a, y = nz + h. (22) If the line is parallel to 2 = 0, the value of k for which the coeffi-cient of X is made to vanish will also reduce the coefficient of y to zero, so that the projecting planes onx = 0 and on ?/ = 0 coincide. Thisprojecting plane z =c and the projec-ting… … X = py -\- c, z = c. (23) Finally, if the line is parallel to the A-axis, its equations may bereduced to (Fig. 17) y^b, z^ c. (24) If the planes L^ = 0, L, = 0 are par-allel but distinct, so that Ao B., a Do A O Y X Fig. 17. then every equation of the form k^L^ -|- kj^^ = 0, except when k A H C…

Geometry, Analytic

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