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" Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes. "
The Elements of geometry; or, The first six books, with the eleventh and ... - Page 115
by Euclides - 1855
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

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...
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Solid Geometry and Conic Sections: With Appendices on Transversals, and ...

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...
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The Elements of Euclid, containing the first six books, with a selection of ...

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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