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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 359

An illustration from An elementary treatise on coordinate geometry of three dimensions, 1912, leaf 359
and ofopposite sign is called a minimal surface.) Ex. 3. In the conicoid formed by the revolution of a central conicabout an axis one principal radius varies as the cube of the other. Ex. 4. A developable surface is generated by the tangents to agiven curve. Prove that at the point Q on the tangent… … of the principal section. But the angle between consecutive generators is 8\js, and the angle between the planes PQN, PQM is the angle between consecutive osculating planes, and therefore is St. Therefore, if pj is the principal radius, T, QM TJSyfr laOi = Lit —— —- . = Lit -5— = —•ri L RQM St p…

Geometry, Analytic

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