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 186
onicoid, the line is a generator of tin- conicoid.Therefore a conicoid can be found to pass through anythree given non-intersecting lines. 108. The general equation to a conicoid through the twogiven lines u = 0 = v, u = 0 = v\ is \uu + juluv + wu + pvv = 0,since this equation is satisfied when u =… … If the three lines are not parallel to the same plane,planes drawn through each line parallel to the other twoform a parallelepiped, (fig. 45). If the centre of the 164 COORDINATE GEOMETRY [ch. ix. parallelepiped is taken as origin, and the axes are parallelto the edges, the equations to the given…
Geometry, Analytic
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