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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. "
First Lessons in Geometry: With Practical Applications in Mensuration, and ... - Page 41
by Charles Davies - 1840 - 252 pages
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1842 - 320 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. l*2&r "f THEOREMS. 63 to...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 pages
...we have AB = EC = CD = DE = EA : also angle A = B = C — D = E. ' 35. What are similar polygons ? Similar polygons are those which have the angles of...shape, but may differ in size. The sides which are f — c. like situated in two similar polygons, are called homologous sides, and these sides are proportional...
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A course of practical geometry for mechanics

W. PEASE - 1846 - 86 pages
...the two have equal areas. 85. Similar figures are such as 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 proportionals. The Irregular Hexagon ABCDEF, is similar to the corresponding irregular hexagon abode/,...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...expression for a ratio, the arithmetical value of which can only be found approximately. 3. Similar figures are those which have the angles of the one equal to...and the sides about the equal angles proportional. 4. The perimeter, or contour of a figure, is the sum of all its sides, or the length of the bounding...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...BOOK IV. OF THE PROPORTIONS OF FIGURES, AND THE MEASUREMENT OF AREAS. Definitions. 1. Similar figures are those which have the angles of the one equal to...and the sides about the equal angles proportional. 2. Any two sides, or any two angles, which have like positions in two similar figures, are called homologous...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 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...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...BOOK IV OF THE MEASUREMENT OF AREAS, AND THE PROPORTIONS OF FIGURES. DEFINITIONS. 1. Similar figures, are those which have the angles of the one equal to...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...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...BOOK IV OF THE MEASUREMENT OF AREAS, AND THB PROPORTIONS OF FIGURES. DEFINITIONS. 1. Similar figures, are those which have the angles of the one equal to...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...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...expression fora ratio, the arithmetical value of which can only be found approximately. 3. Similar figures are those which have the angles of the one equal to...and the sides about the equal angles proportional. 4. The perimeter, or contour of a figure, is the sum of all its sides, or the length of the bounding...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...BOOK IV OV THE MEASUREMENT OF AREAS, AND THH PROPORT1ONS OF F1GURES. DEF1N1T1ONS. 1 Similar figures, are those which have the angles of the one equal to...and the sides about the equal angles proportional. 2. Any two sides, or any two angles, which are like placed in the two similar f1gures, are called homologous...
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