| Charles Hutton - Astronomy - 1815 - 686 pages
...is 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... | |
| Thomas Keith - 1817 - 306 pages
...base of the triangle, is a chord, or diameter, of the circular base AB c » of the cone. 4. If a cone **be cut by a plane parallel to the base, the section will be** 11 circle. Thus, if the cone ABE, be cut by a plane parallel to AB, the section will be a circle, »f... | |
| Anthony Nesbit - Surveying - 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 Bonnycastle - Geometry - 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... | |
| John Playfair - Geometry - 1829 - 210 pages
...two equal prisms by the plane CDEF. Therefore, if a solid &c. QED PROPOSITION IV. THEOREM. If a prism **be cut by a plane parallel to the base the section will be** equal and like to the base Let LB be a prism, of which the base is ABCDE, and a section parallel to... | |
| Tobias Ostrander - Measurement - 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... | |
| Tobias Ostrander - Measurement - 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 - Physical science - 1834 - 390 pages
...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.** Fig. 3. Fig. 4. If the cone be cat slanting quite through both sides, the section will be an ellipse,... | |
| Mary Somerville - Physical sciences - 1834 - 666 pages
...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.** If the cone be cut slanting quite through both sides, the section will be an ellipse, B a A b,fig.... | |
| A. Bell - Conic sections - 1837 - 180 pages
...them, and the solids between each of them and the base, are cylinders. • COR. 3. — If a cone or **cylinder be cut by a plane parallel to the base, the section** is a circle. COR. 4. — Any plane touching the axis of a cone or cylinder, cuts every parallel section... | |
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