 | William Grier - Mechanical engineering - 1861 - 316 pages
...and the same figure. 70. Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional. 71. The Perimeter of a figure, is the sum of all its sides taken together. 72 A Proposition, is something... | |
 | Charles Davies - 1863 - 436 pages
...ratio being 2GEOMETRYBOOK IV O» fHE MEASUREMENT OF AREAS, AND TH» PROPORTIONS OF FIGURESDEFINITIONS 1 Similar figures, are those which have the angles of...to the angles of the other, each to each, and the - oidea about the equal angles proportional2 Any two sides, or any two angles, which are like placed... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...and the same figure. 70. Similar figures are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional. 71. The Perimeter of a figure is the sum of all its sides taken together. 72. A Proposition is something... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...circle may be equivalent to a square, a triangle to a rectangle, &c. 3. Similar figures are such as have the angles of the one equal to the angles of...and the sides about the equal angles proportional. Sides which have the same position in the two figures, or which are adjacent to equal angles, are called... | |
 | J Alfred Skertchly - 1873 - 184 pages
...place of the plane, BC, and produces the same mechanical effect. If two triangles be drawn, having the angles of the one equal to the angles of the other, each to each, the respective sides of the two triangles are proportional. Hence, if a triangle be drawn, whose angles... | |
 | James Maurice Wilson - 1878 - 450 pages
...and those sides which are opposite to the equal angles are homologous. Let ABC, DEF be two triangles, which have the angles of the one equal to the angles of the other, viz. A, B, C respectively equal to D, E, F respectively ; Then shall they be similar, that is AB :... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...coincide. m BOOK VI.] POLYHEDRONS. DEF. 4. Two polyhedrons are similar when the angles of the one are equal to the angles of the other, each to each, and the homologous edges proportional ; that is, when the solid angles are congruent each to each, and the... | |
 | Charles Scott Venable - 1881 - 380 pages
...equal, the plane angles which form them are respectively equal, and therefore the homologous faces have the angles of the one equal to the angles of the other, and are therefore similar. Hence, the tetraedrons are similar. COR. 1. Two similar tetraedrons have... | |
 | Charles Davies - Geometry - 1886 - 352 pages
...THB PROPORTIONS OF FIGURES. DEFINITIONS. 1 Similar figures, are those which have the angles of tne one equal to the angles of the other, each to each,...and the sides about the equal angles proportional. 2. Any two sides, or any two angles, which are like placed in the two similar figures, are called homologous... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...with DE', is parallel to BC. QBD 274. Def. — Similar polygons are polygons which have the angles of one equal to the angles of the other, each to each, and the corresponding, or homologous, sides proportional.* As we shall see, if the polygons are triangles,... | |
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Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional. 
