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" Similar figures are those which are alike in form. As in the case of triangles, which have been considered, two figures, to be similar, must have their corresponding sides in proportion, and the angles of one equal to the corresponding angles of the other.... "
Geometry of Four Dimensions - Page 128
by Henry Parker Manning - 1914 - 348 pages
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...been considered, two figures, to be similar, must have their corresponding sides in proportion, and the angles of one equal to the corresponding angles of the other. Any two circles are similar. 826. The areas of two similar figures are to each other as the squares...
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A Textbook on Surveying and Mapping ...: Arithmetic, formulas, geometry and ...

International Correspondence Schools - Surveying - 1898 - 518 pages
...been considered, two figures, to be similar, must have their corresponding sides in proportion, and the angles of one equal to the corresponding angles of the other. Any two circles or any two regular polygons of the same number of sides are similar. 182. The areas...
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Arithmetic, algebra, logarithms, geometry and trigonometry, elementary ...

International Correspondence Schools - Civil engineering - 1899 - 722 pages
...been considered, two figures, to be similar, must have their corresponding sides in proportion, and the angles of one equal to the corresponding angles of the other. Any two circles or any two regular polygons of the same number of sides are similar. 182. The areas...
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A Textbook on Mining Engineering, Volume 1

1900 - 728 pages
...been considered, two figures, to be similar, must have their corresponding sides in proportion, and the angles of one equal to the corresponding angles of the other. Any two circles are similar. 826. The areas of two similar figures are to each other as the squares...
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A Treatise on Coal Mining: Prepared for Students of the International ...

International Correspondence Schools - Coal mines and mining - 1900 - 720 pages
...been considered, two figures, to be similar, must have their corresponding sides in proportion, and the angles of one equal to the corresponding angles of the other. Any two circles are similar. 826. The areas of two similar figures are to each other as the squares...
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Elementary Algebra: first course

John Charles Stone, James Franklin Millis - Algebra - 1911 - 698 pages
...ñ and Л + 2 Л2 + Д3. 117. Distances found by Proportion. — Two triangles that are drawn wiv.h the angles of one equal to the corresponding angles of the other have the same УЧ shape, and are called similar С / >v triangles, as ABO and DEF. /\. / \. Let the...
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...SIMILARITY INTRODUCTORY DEFINITION 266. Similar polygons have been defined as polygons that have 1. The angles of one equal to the corresponding angles of the other, and 2. Corresponding sides proportional. By the ratio of similitude of two similar polygons is meant...
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The Elements of High School Mathematics: Comprising Arithmetic, Practical ...

John Bascom Hamilton, Herbert Earle Buchanan - Mathematics - 1921 - 310 pages
...proportional. SIMILAR POLYGONS 151. Definition. When two polygons of the same number of sides have the angles of one equal to the corresponding angles of the other, and the corresponding sides proportional, then the polygons are said to be similar. Polygon ABODE is...
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Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...side of the equilateral triangle is MaV3 . SIMILAR FIGURES Similar polygons are polygons that have 1. The angles of one equal to the corresponding angles of the other, and 2. Corresponding sides proportional. The ratio of similitude of two similar polygons is the ratio...
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