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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. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Page 325
by Charles Hutton - 1811
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...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 piar.es. t XTI A pyramid is a solid figure contained by planes...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...contained by similar planes equal in number and magnitude. [See the Notes.] 11. Similar solid figures arc 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 - 1883 - 428 pages
...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 Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...such as are contained by similar planes equal in number and magnitude. 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: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...six faces ; an octahedron has eight faces ; a dodecahedron has twelve faces. 19. Similar polyhedra are such as have all their solid angles equal, each...each, and are bounded by the same number of similar faces. 20. A Polyhedron is regular when its faces are simiiar and equal regular polygons. 21. It will...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...six faces ; an octahedron has eight faces ; a dodecahedron has twelve faces. 19. Similar polyhedra are such as have all their solid angles equal, each...each, and are bounded by the same number of similar faces. 20. A polyhedron is regular when its faces are similar and equal regular polygons. EUCLID S...
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From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept

Giora Hon, Bernard R. Goldstein - Science - 2008 - 337 pages
...while explicitly omitting the problematic tenth definition: Book XI, Def. xi. Similar solid figures are such as have all their solid angles equal, each to each, and which are contained by the same number of similar planes.43 By insisting that all the solid angles...
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The Thirteen Books of Euclid's Elements

562 pages
...definition of a solid angle, and then defines similar solid figures as follows : Similar solid figures are such as have all their solid angles equal, each to each, and which are contained by the same number of similar planes. Legendre has an invaluable discussion of...
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