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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 273

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xii. Ex. 8. If two conicoids have two common generators of the samesystem, they have two other common generators. Ex. 9. The centres of conicoids which have double contact withthe surface ax*+bf+cz*=\ at its points of intersection with the chord x=cl, y = /3, and intersectthe plane z=0 in a circle,… … Examine when the contact is real arid when the sphere lies whollywithin the ellipsoid. Cf. § 130. Ex. 11. If a conicoid is circumscribed to a sphere, every tangentplane to the sphere cuts the conicoid in a conic which has a focus atthe point of contact. Ex. 12. If a conicoid is circumscribed to…

Geometry, Analytic

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