x andlet it meet 70Z in X, and TOZ in L, 30 TRANSFORMATION OF CO-ORDINATES. Thentherefore Similarly and x — x= LL =f. y-y=9> z —z=h. Hence, if in the equation of any surface we write x +/,y+g, z + h for X, y, z respectively, we obtain the equationreferred to the point (/, g, h) as origin. 45. To… … Let P be any point whose co-ordinates in the two systemsare x, y, z and x, y, z . Draw PL perpendicular to the plane X! OY and LM per-pendicular to OX \ then OM = x, ML = y, and LP=z, Since the projection of OP on OX is equal to the sum ofthe projections of OM, ML and XP, we havex=^l^x -\-l^y +…
Geometry, Analytic -- Solid
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