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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 - Page 96
by George Roberts Perkins - 1850 - 320 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 426 pages
...the sides of the latter. 63. Similar figures are those, that have all the angles of ne equal to all the angles of the other, each to each, and the sides about the equal angles proportional. ,64. The perimeter of a figure is the sum of ail its sides, taken together. • -' • * 65. A proposition...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...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. 7-1. The Perimeter of a figure, is the sum of all its sides taken together. 72. A Proposition, is something...
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A Course of Mathematics: In Two Volumes : for the Use of Academies, as Well ...

Charles Hutton - Mathematics - 1816
...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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...equal to the three sides of the other, each to each, are also equal. 162. 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...
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A Treatise on Practical Gauging

Anthony Nesbit, W. Little - Measurement - 1822 - 916 pages
...the angles of the other. 54. Similar figures are such as have all the angles of One> ql to all the angles of the other, each to each ; and the sides about the equal angles proportional. 55. A Proposition is something proposed cither to be done, or to be demonstrated ; and is either a...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 618 pages
...figure. 70. Similar figures, are those that have all the angles of the one equal to all the angles f 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...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - Architecture - 1823 - 210 pages
...which adjoin equal angles, are homologous. 135. Two figures are similar, when the angles of the one are equal to the angles of the other, each to each, and the homologous sides are proportionals. 136. In two CIRCLES, similar sectors, similar arcs, or similar...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 280 pages
...equal to the three sides of the other, each to each, are also equal. 162. 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...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...equal to the three sides of the other, each to each, are also equal. 162. 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...
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 228 pages
...corresponding dimensions of the field. Hence we have the general truth—Two similar rectilinear figures have the angles of the one equal to the angles of the other, each to each, and all homologous lines proportional. 93. Remark. If diagonals were drawn through corresponding vertices...
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