 O'G O'A' X O'B' O'C' OA X OB X OC V' O'EX O'F O'G O'EX O'FX O'G QED 633. DEF. Similar polyhedrons are polyhedrons that have the same number of faces similar each to each and similarly placed, and have their homologous polyhedral angles equal.  Solid Geometry - Page 391by George C. Shutts - 1913Full view - About this book
 | George Washington Hull - Geometry - 1807 - 408 pages
...BH)~\ = DKL X l(AD + BE + CF). QED SIMILAR POLYHEDRONS. 488. Similar Polyhedrons are polyhedrons having the same number of faces, similar each to each and similarly placed, and their homologous polyhedral angles equal. The faces, lines, and angles of similar polyhedrons which... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...DEFX is DEFX SIMILAR POLYEDKONS. 63. Definition. Similar polyedrons are those which are bounded by the same number of faces similar each to each and similarly placed, and which have their homologous polyedral angles equal. Parts similarly placed in two similar polyedrons,... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...sum of which is SIMILAR POLYEDRONS. 63. Definition. Similar polyedrons arc those which are bounded by the same number of faces similar each to each and similarly placed, and which have their homologous polyedral angles equal. Parts similarly placed in two similar polyedrons,... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...POLYEDRONS. 641. Similar polyedrons are those whose corresponding polyedral angles are equal, and which have the same number of faces, similar each to each, and similarly placed. Homologous faces, edges, angles, etc., in similar polyedrons are faces, edges, angles, etc., which... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...equals in (i), we get £xJ). QED SIMILAR POLYEDRONS 714. Dcf. — Two polyedrons are similar if they have the same number of faces similar each to each and similarly placed, and their homologous diedral angles are equal. PROPOSITION XXVII. THEOREM 7 15. The ratio of any two lioitiologous... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...their equals in (1), we get . ED SIMILAR POLYEDRONS 714. Def. — Two polyedrons are similar if they have the same number of faces similar each to each and similarly placed, and their homologous diedral angles are equal. PROPOSITION XXVII. THEOREM 7 15. The ratio of any two homologous... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 490 pages
...part separately. SIMILAR POIvYEDRONS 523. DEFINITION. Similar polyedrons are those polyedrons having the same number of faces, similar each to each and similarly placed, and their homologous polyedral angles equal. The faces, Hues, and angles of similar polyedrons which are... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...parallelepiped. Prove AC a O.) SIMILAR POLYBDRONS. 527. Def. Two polyedrons are said to be similar when they have the same number of faces similar each to each and similarly placed, and have their homologous polyedral angles equal. PBOP. XXIV. THEOREM. 528. Tlie ratio of any two homologous edges... | |
 | Webster Wells - Geometry - 1899 - 196 pages
...parallelopiped. Prove AC a O.) SIMILAR POLYBDRONS. 527. Def. Two polyedrons are said to be similar when they have the same number of faces similar each to each and similarly placed, and have their homologous polyedral angles equal. PROP. XXIV. THEOREM. 528. The ratio of any two homologous edges... | |
 | William James Milne - Geometry - 1899 - 398 pages
...AND REGULAR POLYHEDRONS 569. Polyhedrons which have their corresponding polyhedral angles equal, and have the same number of faces similar each to each, and similarly placed, are called Similar Polyhedrons. Faces, edges, angles, etc., which are similarly placed in similar polyhedrons... | |
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