| Euclides - 1846
...cylinder are the circles described by the two revolving opposite sides of the parallelogram. xxiv. **Similar cones and cylinders are those which have their...contained by four equal and equilateral triangles.** xxvu. An octahedron is a solid figure contained by eight equal and equilateral triangles. xxvin. A... | |
| John Playfair - 1846 - 317 sider
...a cylinder are the circles described by the two revolving opposite sides of the parallelogram. 17. **Similar cones and cylinders are those which have their...axes, and the diameters of their bases proportionals.** PROP. I. THEOR. If two solids be contained by the same number of equal and similar planes similarly... | |
| Dennis M'Curdy - 1846 - 138 sider
...1C. The bases of a cylinder are the two opposite circles described by the ends of the rectangle. 17. **Similar cones and cylinders are those which have their axes, and the** diameter of their bases proportionals. Propositions. 1 Th. If two solids be contained by the same number... | |
| Charles William Hackley - 1847 - 103 sider
...a cylinder are the circles described by the two revolving opposite sides of the parallelogram.* 15. **Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals.** 16. A regular polyhedron is one, all whose solid angles are equal, and whose faces are equal polygons.... | |
| Samuel Hunter Christie - 1847
...are the circles described by the two revolving opposite sides of the parallelogram. B 2 26. Similar **cylinders are those which have their axes and the diameters of their bases proportionals.** 28. A Tetrahedron is a solid figure contained by four equal and equilateral triangles. 27. A Cube is... | |
| Elias Loomis - 1849 - 226 sider
...frustum of a cone is the part of a cone next the base, cut off by a plane parallel to the base. 6. **Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals.** PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the product of its altitude by... | |
| Thomas Lund - 1854 - 362 sider
...their solid angles equal, each to each, and are bounded by the same number of similar plane surfaces. **Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals.** JPART m. 10 then, vol. of larger solid : vol. of smaller :: (AB)* : (at)8, -: 4' : 3s, :: 64 : 27Ex.... | |
| Euclides - 1855
...a cylinder are the two opposite, equal and parallel circlet which form two of its boundaries. XXIV. **Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals.** A. A parallelopiped is a solid figure contained by six quadrilateral figures, of -which every opposite... | |
| Euclides - 1855
...described by the two revolving opposite sides of the parallelogram. 22. SIMILAR COXES A*D CYLIJTBERS **are those which have their axes and the diameters of their bases proportionals.** 23. A PARALLELOPIPED is a solid figure contained by six quadrilateral figures, whereof every opposite... | |
| Elias Loomis - 1858 - 234 sider
...frustum of a cone is the part of a cone next the base, cut off by a plane parallel to the base. 6. **Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals.** PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the product of its altitude by... | |
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