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" Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other... "
Secondary-school Mathematics - Page 176
by Robert Louis Short, William Harris Elson - 1910
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...each other, they will comprehend the same space as the successive angles, A CB, BCD, &c. THEOREM. 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In...
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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
...other, they will comprehend the . same space as the successive angles, ACB, BCD, &c. THEOREM. £ 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...each other, they will comprehend the same space as the successive angles, ACB, BCD, &c. THEOREM. Q 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...equal sides in the first case, and the equal angles in the second, are called homologous. 51. Theorem. Two triangles are equal, when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Demonstration. In...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...space as the successive angles, ACB, BCD, &c. t These are often called vertical angles. THEOREM. 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In...
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Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - Arithmetic - 1842 - 178 pages
...application is necessary. ^PRINCIPLES ASSUMED. The following Propositions are Demonstrably true: — 1. Two triangles are equal when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. 2. In an isosceles...
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Elementary and Practical Arithmetic: On the Inductive System, by Analysis ...

Charles Waterhouse - Arithmetic - 1844 - 232 pages
...conversely, of the two angles of a triangle, that is the greater, which is opposite the longer aide. 6. Two triangles are equal when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. 7. Every triangle...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...equal sides in the first case, and the equal angles in the second, are called homologous. 51. Theorem. Two triangles are equal, when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Proof. In the two...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...can be applied to each other so as to coincide in all their parts. PROPOSITION XX.— THEOREM. 76. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. In the triangles ABC,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...can be applied to each other so as to coincide in all their parts. PROPOSITION XX.— THEOREM. 76. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. In the triangles ABC,...
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