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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 44

An illustration from Analytic geometry of space, 1914, leaf 44
e segments PQ, PiQi, PpQp- Example. Find the equations of the projecting planes of the line 2x + 32/ — 42 = 5, x — iy + 5z = 6.Here, Li = 2 x + S y — i z — ^, L2 = x — iy + 5z — 6, kiLi + k2L2 =(2 ki + k2)x + (3 ki - 4 A-^)?/ + (_ 4 A-i + 5 hi)z + ( - 5 fci - 6 A;2) = 0. If ki = —2 k\, the… … found to be 11 X 38. ko 4Finally, if -^ = -, the projecting plane on 2=0 is found.ki b Its equation is 14 X — ?/ = 49. EXERCISES Find the equations of the projecting planes of each of the following lines :-1. z + 2 y - 3 2 = 4, 2 x - 3 J/ + 4 2 = 5.2 2x +y + z = 0, x — y + 2 z = S. 3. X + t/ + 2 =…

Geometry, Analytic

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