 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 Connection of the Physical Sciences - Page 399by Mary Somerville - 1846 - 460 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 - 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... | |
 | Mary Somerville - 1835 - 532 pages
...the axis, and the plane B £ CF the base. The axis may or may not be perpendicular to the base, and the base may be a circle, or any other curved line....through both sides, the section will be an ellipse, fig. 6. If the cone be Fig. 7. Ftg.S. cut parallel to one of the sloping sides, as AB, the section... | |
 | 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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