| Euclides - 1865 - 402 pages
...similar solid figures are such as are contained by similar planes equal in number and magnitude. XI. Similar solid figures are such as have all their solid...each to each, and are contained by the same number of similar planes. XII. A pyramid is a solid figure contained by planes that are constituted betwixt one... | |
| Robert Potts - 1865 - 528 pages
...arc contained by similar equal in number and magnitude. XI. Similar solid figures are guch as haye all their solid angles equal, each to each, and are contained by the same number of similar planes. xn. A pyramid is a solid figure contained by planos that are constituted betwixt one... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...figures are such as are contained by similar planes equal in number and magnitude. [See the Notes.} 11. Similar solid figures are such as have all their solid...each to each, and are contained by the same number of similar planes. 12. A pyramid is a solid figure contained by planes which are constructed between one... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...meet, therefore they must all be parallel to each other. SOLID GEOMETRY, BOOK VII. DEFINITIONS. 1. SIMILAR solid figures are such as have all their solid...each to each, and are contained by the same number of similar planes. 2. A pyramid is- a solid figure contained by planes that are constituted between one... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...figures are such as are contained by similar planes equal in number and magnitude. [See the Notes.} 11. Similar solid figures are such as have all their solid...each to each, and are contained by the same number of similar planes. 12. A pyramid is a solid figure contained by planes which are constructed between one... | |
| Robert Potts - 1868 - 434 pages
...and similar solid figures are such as are contained by similar planes equal in number and magnitude. XL Similar solid figures are such as have all their...each to each, and are contained by the same number of similar planes. XII. A pyramid is a solid figure contained by planes that are constituted betwixt one... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...is the straight line which joins any two vertices not lying in the same face. 3. Similar polyedrons are such as have all their solid angles equal, each to each, and are contained by the same number of similar polygons. 4. A regular polyedron is one whose solid angles are all equal to each other, and... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...explanation of some of the terms, which will be found in the Exercises and Examination Papers. XI. Similar solid figures are such, as have all their...each to each, and are contained by the same number of similar planes. XII. A Pyramid is a solid figure, contained by planes, which are constructed between... | |
| James Maurice Wilson - Conic sections - 1872 - 162 pages
...(Th. 31) .'. volume of sphere = - rx Def. 29. Similar polyhedra are such as have all their polyhedral angles equal, each to each, and are contained by the same number of similar faces. THEOREM 33. Similar polyhedra are to one another in the ratio of the cubes of their... | |
| Euclides - 1874 - 342 pages
...similar solid figures are such as are contained by similar planes equal in number and magnitude. 11. Similar solid figures are such as have all their solid...each to each, and are contained by the same number of similar planes. 12. A pyramid is a solid figure contained by planes that are constituted betwixt one... | |
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