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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 95

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y + nz = 0, wherel2+m2+n2=l, and n is positive. Take as o£, the new axis of z, the normal to the planewhich passes through O and makes an acute angle withOZ. Then the equations to o£, referred to OX, OY, OZ, arex/l=yjm=z(n. Take as Orj, the new i/-axis, the line inthe plane ZO£ which is at right… … Fig. 2S. plane is £0*7, and since O^ is at right angles to o£ and O)?,it is at right angles to OZ which lies in the plane £o>/.Hence o£ lies in the plane XOY, and therefore is the lineof intersection of the given plane and the plane XOY. Theequation to the plane gOrj is x/l = y/m; therefore if…

Geometry, Analytic

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