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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. "
Elements of Geometry: With, Practical Applications - Σελίδα 96
των George Roberts Perkins - 1850 - 320 σελίδες
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The Modern Mechanic: A Scientific and Calculator, Comprising Rules and ...

William Grier - 1861 - 305 σελίδες
...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...

Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1863
...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...

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

Gerardus Beekman Docharty - 1867 - 283 σελίδες
...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...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 σελίδες
...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...

Natural philosophy. Mechanics, Τόμος 1

J Alfred Skertchly - 1873
...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...

Elementary geometry

James Maurice Wilson - 1878
...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 :...

Elements of Geometry and the First Principles of Modern Geometry

Wm. H. H. Phillips - 1878 - 209 σελίδες
...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...

Elements of Geometry, After Legendre: With a Selection of ..., Μέρος 2

Charles Scott Venable - 1881 - 366 σελίδες
...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...

Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 324 σελίδες
...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...

Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 σελίδες
...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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