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 173
Fig. 41. Whence it is evident that the paraboloid is the locu^ >>tcither of the variable lines given by x y_z x y m a o X a h a 0 jul a b ^The hyperbolic paraboloid is therefore a ruled surface 150 COORDINATE GEOMETRY [ch. ix. and can be generated in two ways by the motion of astraight line.… … Fig. 42. Ex. 1. CP, CQ are any conjugate diameters of the ellipse x2/a2 + y2\b2 = 1, z= c. CP, CQ are the conjugate diameters of the ellipse x2/a2+y2/b2=l, z= —c, drawn in the same directions as CP and CQ. Prove that the 2r2 2y2 z2hyperboloid f + -fo $ = 1 is generated by either PQ or PQ. Ex. 2. A…
Geometry, Analytic
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