 Given a right cone and a point within it, there are but two sections which have this point for focus ; and the planes of these sections make equal angles with the straight line joining the given point and the vertex of the cone. 123. If the curve formed...  The Cone and Its Sections Treated Geometrically - Page 139by S. A. Renshaw - 1875 - 148 pagesFull view - About this book
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...DE in A. Then OA, AD are equal to the axes ; and the remainder of the construction is obvious. 12. Given a right cone and a point within it, there are...joining the given point and the vertex of the cone. Let F be the vertex, VGO the axis of the given cone, and P the given point. Then, if two spheres be... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...DE in A. Then OA, AD are equal to the axes ; and the remainder of the construction is obvious. 12. Given a right cone and a point within it, there are...sections which have this point for focus; and the E lanes of these sections make equal angles with the straight ne joining the given point and the vertex... | |
 | Harvey Goodwin - 1862 - 174 pages
...cone lie on the sxirface of another right cone, which has the same axis and vertex as the former. 5. Given a right cone and a point within it ; there are...joining the given point and the vertex of the cone. 6. From a right cone cut an ellipse of given excentricity. STATICS. COMPOSITION AND EESOLUTION OF FORCES.... | |
 | Charles Taylor - Conic sections - 1863 - 262 pages
...how to cut a right cone so that the section may be an ellipse whose axes are of given lengths. 10. Given a right cone and a point within it, there are...joining the given point and the vertex of the cone. 11. If the curve formed by the intersection of any plane with a cone be projected upon a plane perpendicular... | |
 | William Henry Besant - Conic sections - 1869 - 304 pages
...by the revolution of a circle, which touches the axis of the cone at the centre of the sphere. 12. Given a right cone and a point within it, there are...joining the given point and the vertex of the cone. 18. If the curve formed by the intersection' of any plane with a cone be projected upon a plane perpendicular... | |
 | William Henry Drew - Conic sections - 1869 - 153 pages
...the foci corresponding to that directrix lie on a straight line which passes through the vertex. 122. Given a right cone and a point within it, there are...joining the given point and the vertex of the cone. 123. If the curve formed by the intersection of any plane with a cone be projected upon a plane perpendicular... | |
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