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" ... and passing through/'. Two solutions are generally possible.] 3. Shew that all sections of a right cone, made by planes parallel to tangent planes of the cone, are parabolas, and that the foci lie on a cone having with the first a common vertex and... "
The Cone and Its Sections Treated Geometrically - Page 139
by S. A. Renshaw - 1875 - 148 pages
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Conic Sections, Treated Geometrically

William Henry Besant - Conic sections - 1869 - 304 pages
...which it is possible to cut an hyperbola, whose eccentricity shall be the ratio of two to one. 4. Shew that all sections of a right cone, made by planes...cone having with the first a common vertex and axis. 5. The centre of a spherical ball is moveable in a vertical plane which is equidistant from two candles...
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Conic sections, treated geometrically

William Henry Besant - Conic sections - 1875 - 348 pages
...which it is possible to cut an hyperbola, whose eccentricity shall be the ratio of two to one. 4. Shew that all sections of a right cone, made by planes parallel to tangent planes of the cone, are parabolas, and that the foci lie on a cone having with the first a...
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The Elementary Geometry of Conics

Charles Taylor - Conic sections - 1883 - 164 pages
...sections of a right cone made by planes parallel to tangent planes of the cone are parabolas, and their foci lie on a cone having with the first a common vertex and axis. 316. If two or more plane sections have the same directrix, the corresponding foci lie on a straight...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...generally possible.] 3. Shew that all sections of a right cone, made by planes parallel to tangent planes of the cone, are parabolas, and that the foci lie...cone having with the first a common vertex and axis. [Shew that the foci of parallel sections lie on a straight line through the vertex.] 4. Find the least...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...circles touching a'v and b'v, and passing through /'. Two solutions are generally possible.] 3. Shew that all sections of a right cone, made by planes parallel to tangent planes of the cone, are parabolas, and that the foci lie on a cone having with the first a...
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