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An elementary treatise on solid geometry, by Charles Smith (1886)

Smith, Charles, 1844-1916 · London, Macmillan and co. · leaf 35

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point, whose distances from two given planes are /*in a constant ratio, is a plane. Ex. 10. The locus of a point, which moves so that the sum of its distancesfrom any number of fixed planes is constant, is a plane. 21. The co-ordinates of any point on the line of intersectionof two planes will… … Let PQ be the straight line, ^^^ its projection on the planeXOY by lines parallel to OZ. Then the co-ordinates w and yof any point in PQ are the same as the co-ordinates x and yof its projection in^q. Hence if Ix + my = 1 be the equation of pq, the co-ordi-nates of any point on PQ will satisfy the…

Geometry, Analytic -- Solid

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