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 133
+ z2lc2 = l whose vertex is P by the plane z = 0 is (i) aparabola, (ii) a rectangular hyperbola. Find the locus of P. ,.., .v2+v2 z2 ,Arts. (i)z=±c, (n)^f2 + ^L 74. The locus of the tangents which are parallel toa given line. Suppose that PQ is any chord and that M isits mid-point. Then if the line… … Fig. 35. to a given line lies on the diametral plane which bisects allchords parallel to the line. This plane cuts the surface ina conic, and the locus of the tangents parallel to the givenline is therefore the cylinder generated by the parallels tothe given line which pass through the conic.…
Geometry, Analytic
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