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Brief course in analytic geometry (1911)

Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 278

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Fio 106. Similarly, the equation — — ^ = « «= 6* • See Art. 156. 157-169] QUADRIC SURFACES 261 has for its locus a surface such as is represented in Fig. 106.This quadric is the hyperbolic paraboloid, and may be conceivedas generated by a variable parabola which has its vertex upon … Fig. 106. and moves always perpendicular to a fixed parabola, the axesof the two parabolas being parallel, but lying in opposite direc-tions. Equation [88] may be derived at once from this defi-nition.* Every equation of the form Aa^ — By^ — 2Nz = Q representsan hyperbolic paraboloid. 159. The…

Geometry, Analytic

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