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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. "
Mechanics' Magazine, and Journal of the Mechanics' Institute - Page 198
1835
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pages
...similar planes equal in number, magnitude, and inclination to one another. 9. SIMILAR SOLID FIGT/BES are such as have all their solid angles equal, each to each, and are contained by the same number of planes similarly situated. 10. A PYBAMID is a solid figure contained...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 pages
...ever so far both ways, will never meet, or which are everywhere at an equal perpendicular distance. 6. A solid angle is that which is made by three or more...figures, are such as have all their solid angles equal, eacb^ to each, and are bounded Iiy the same number of similar planes, alike placed. 8. A. prism is...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...figures are such as are contained by similar planes equal in number and magnitude. XL 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. P XII. A pyramid is a solid figure contained by planes...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...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 angles equal, each to each, and are contained by the same number of similar planes. XII. A pyramid is a solid figure contained by planes...
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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
...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 angles equal, each to each, and are contained by the same number of similar planes. 12. A pyramid is a solid figure contained by planes...
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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
...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 angles equal, each to each, and are contained by the same number of similar planes. 12. A pyramid is a solid figure contained by planes...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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 angles equal, each to each, and are contained by the same number of similar planes. 2. A pyramid is- a solid figure contained by planes...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...figures are such as are contained by similar planes equal in number and magnitude. XL 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. XII. A pyramid is a solid figure contained by planes...
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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...
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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
...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 solid angles equal, each to each, and are contained by the same number of similar planes. XII. A Pyramid is a solid figure, contained by planes,...
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