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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 358

An illustration from An elementary treatise on coordinate geometry of three dimensions, 1912, leaf 358
volution at all points of ameridian section \\>- in the plane of theby §230, the meridian sections are lines of curvature Thenormals at all points of a circular section pass through thesame point on the axis, and therefore any circular section isa line of curvature. Let P, (tig. G3), be any… … Fig. (53. TPN and KPN are the planes of the principal sections. Theprincipal radius in the plane TPN is the radius of curvatureat P of the generating curve. The circular section is anoblique section through the tangent PK. and its radius ofcurvature is CP. Therefore, by Meuniers theorem, if p isthe…

Geometry, Analytic

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