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" If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. "
First Lessons in Geometry: With Practical Applications in Mensuration, and ... - Page 35
by Charles Davies - 1840 - 252 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...respectively equal, namely, the .side EF=BC, the angle E=B, and the angle F=C PROPOSITION VI. THEOREM. If two triangles have two angles and the included side of the one, •equal to two ang'es and the included side of the other, each to each, the two triangles will be equal. Let the angle...
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Elements of Geometry and Trigonometry

Geometry - 1843 - 376 pages
...respectively equal, namely, the side EF— BC, the angle E=B, and the angle F— C PROPOSITION VI. THEOREM. If two triangles have two angles and the included...one, equal to two angles and the included side of the oilier, each to each, the two triangles will be equal. Let the angle E be equal to the angle B, the...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...be the triangle required. This is obvious from what has already been done. PROPOSITION IV. THEOREM. If two triangles have two angles and the included...two angles and the included side of the other, the triangles will be identical, or equal in all respects. In the two triangles ABC, DFG, if the angle...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...DEP, and the angle ACB to the angle DFE. Therefore, if two triangles, &c. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included...to two angles and the included side of the other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...respectively equal, namely, Mie side EF=BC, the angle E=B, and the angle F = C PROPOSITION VI. THEOREM. \ftwo triangles have two angles and the included side of...to two angles and the included side of the other, each to each, the two triangles will be equal. Let the angle E be equal 10 the angle B, the angle F...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...other, the equal parts will coincide. THEOREM V. If two triangles have two angles and the included sids of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...the equal parts will coincide. T^ THEOREM V. If two triangles have two angles and the included sids of the one, equal to two angles and the included side of the other, each to tach, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...11) : consequently, the triangle EDF is equal to the triangle BAC (A. 14). PROPOSITION VI. THEOEEM. If two triangles have two angles and the included...to two angles and the included side of the other, each to each, the two triangles will be equal. Let EDF and BAC be two triangles, having the angle E...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of tne one, equal to two angles and the included side of the other, each to fach, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...respectively equal, viz., the side EF—BC, the angle E=B, and the angle F~C. BOOK I. PROPOSITION VI. THEOREM. If two triangles have two angles and the included...to two angles and the included side of the other, each to each, the two triangles will be equal. Let EDF and .BAC be two triangles, having the angle...
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