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An elementary treatise on solid geometry (1886)

Aldis, W. Steadman (William Steadman), 1839-1928 · Cambridge [Eng.] Deighton, Bell, and co.; London, G. Bell and sons · leaf 59

An illustration from An elementary treatise on solid geometry, 1886, leaf 59
axis of the moving parabola in 31, and draw QH and MNparallel to the axis of y. Then from the parabola PQ, P3P = z = r. QM, and from the parabola QO, QH = f = 1. OH =lx-l. QM . / ^_ OF THE SECOND ORDER. 49 40. The Hyperbolic Paraboloid. This is generated in the same manner as the last sur-face… … P any point in it. Draw P3I parallel to O2, MN and QHparallel to Oy. Let I and I be the latera recta of the twoparabolas OQ, PQ. From the parabola PQ, PM = z = V . QM, I rom the parabola OQ, QH^=^f = l.OH = l.{x + QM) — ox -{• J, , • J. rp I l~ The two paraboloids are both included in the equation…

Geometry, Analytic -- Solid · Geometry, Differential

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