 If a right cone with a circular base be cut at right angles to the base by a plane passing through the apex, the section will be a triangle. If the cone be cut through both sides by a plane parallel to the base, the section will be a circle.  On the Connexion of the Physical Sciences - Page 461by Mary Somerville - 1849 - 524 pagesFull view - About this book
 | Charles Hutton - 1815 - 686 pages
...found by adding together the areas of all the triangles which form that surface. 5. If a pyramid be cut by a plane parallel to the base, the section will be a plane figure similar to the base; and these two figures will be in proportion to c&ch other as the... | |
 | Anthony Nesbit - 1824 - 476 pages
...cone, and any part of the base, the section will be a triangle. 3. If a cone be cut into two parts, by a plane parallel to the base, the section will be a circle. 4. If a cone be cut by a plane passing through its two slant sides, in an oblique direction, the section... | |
 | John Playfair - 1829 - 210 pages
...are equal in all respects. Therefore, if a prism &c. QED PROPOSITION V. THEOREM. If a cylinder be cut by a plane parallel to the base, the section will be a circle, and equal to the base Let AH be a cylinder, of which the base is ABC, and a section parallel to the... | |
 | John Bonnycastle - 1829 - 256 pages
...plane which also cuts the base, the section will be a triangle. 6. If a cone be cut into two parts, by a plane parallel to the base, the section will be a circle. 1. If a cone be cut by a plane which passes through its two slant sides in an oblique direction, the... | |
 | Tobias Ostrander - 1833 - 172 pages
...plane perpendicular to the base, the section will be a triangle. 6. If a cone be cut into two parts by a plane parallel to the base, the section will be a circle. 7. If a cone be cut by a plane which passes through its two slant sides in an oblique direction the... | |
 | Mary Somerville - 1834 - 666 pages
...cone, of which there are five. If a right cone with a circular base, be cut at right angles to Kg. 3. the base by a plane passing through the apex, the...through both sides, the section will be an ellipse, B a A b,fig. 2. If the cone be cut parallel to one of its sloping sides, the section will be a parabola,... | |
 | Mary Somerville - 1834 - 390 pages
...figure is a right cone. Conic sections. Lines formed by a plane cutting a cone, of which there are five. If a right cone with a circular base, be cut at right...parallel to the base, the section will be a circle. Fig. 3. Fig. 4. If the cone be cat slanting quite through both sides, the section will be an ellipse,... | |
 | Mary Somerville - 1834 - 484 pages
...cone, of which there are five. If a right cone with a circular base, be cut at right angles to Fig. 3 the base by a plane passing through the apex, the...triangle. If the cone be cut through both sides by a plane-parallel to the base, the section will be a circle. If the cone be cut slanting quite through... | |
 | Tobias Ostrander - 1834 - 182 pages
...plane perpendicular to the base, the section will be a triangle. 6. If a cone be cut into two parts by a plane parallel to the base, the section will be a circle. 7. If a cone be cut by a plane which passes through its two slant sides in an 'oblique direction the... | |
 | Thomas Holliday - 1838 - 404 pages
...A of the cone, to any part of the base, the section will be a triangle, as ABC. 3. If a cone be cut by a plane parallel to the base, the section will be a circle, as D—E. 4. If a cone be cut by a plane which passes through its two slant sides in an oblique direction,... | |
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