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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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Elements of Geometry

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...equal to the three sides of the other, each to each, are also equal. 102. Two figures are similar, which have the angles of the one equal to the angles of the other, each to each, and the homologous sides proportional. By homologous sides are to be understood those, which have the same...

The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - 1842 - 308 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. l*2&r "f THEOREMS. 63 to...

Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - 1846 - 240 σελίδες
...= CD = DE = EA : also angle A = B = C — D = E. ' 35. What are similar polygons ? Similar polygons are those which have the angles of the one equal to...and the sides about the equal angles proportional. Hence, similar polygons are alike in shape, but may differ in size. The sides which are f — c. like...

A course of practical geometry for mechanics

W. PEASE - 1846
...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/,...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 σελίδες
...unit for their common measure. I reply, that i/2 is not a number : it is simply an expression for a ratio, the arithmetical value of which can only be...all its sides, or the length of the bounding line. 5. Two magnitudes are said to be identical, when they: are equal in all their parts, and are also capable...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

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...right angle. BOOK IV. OF THE PROPORTIONS OF FIGURES, AND THE MEASUREMENT OF AREAS. Definitions. 1. Similar figures are those which have the angles of...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...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 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...

ELEMENTARY GEOMETRY, WITH APPLICATIONS IN MENSURATION.

CHARLES DAVIS, L.L. D. - 1850
...being 2. GEOMETRY. BOOK IV OF THE MEASUREMENT OF AREAS, AND THE PROPORTIONS OF FIGURES. DEFINITIONS. 1. Similar figures, are those which have the angles of...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...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 216 σελίδες
...2. GEOMET R Y. BOOK IV OF THE MEASUREMENT OF AREAS, AND THB PROPORTIONS OF FIGURES. DEFINITIONS. 1. Similar figures, are those which have the angles of...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 and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 324 σελίδες
...9. GEOMET R Y. BOOK IV OV THE MEASUREMENT OF AREAS, AND THH PROPORT1ONS OF F1GURES. DEF1N1T1ONS. 1 Similar figures, are those which have the angles of...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...