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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. "
The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ... - Page 39
by Edward Brooks - 1868 - 275 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 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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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 252 pages
...ABC and DEF, having AC=DF, CB-FE, and angle C=F, then will Angle A = D, angle B = E, and AB=DE. 2. If two triangles have two angles, and the included...to two angles and the included side of the other, the remaining parts will also be equal. QI-EsT. — 1. Name the parts of one triangle, which being...
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Elements of Geometry and Trigonometry

Geometry - 1843 - 359 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 Proctical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 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...to 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 - 226 pages
...included angle of the one, equal to two sides and the included angle of the other, each to each ; or two angles and the included side of the one, equal to two angles and the included side of the other. PROPOSITION XVI. THEOREM. In (in isosceles spherical triangle, the angles opposite the equal sides...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies, Sir David Brewster, Adrien Marie Legendre - Trigonometry - 1849 - 359 pages
...(ne(jUnl spheres, ate iqual in all their parts, when two angles and the included side of the one are equal to two angles and the included side of the other, each to each. For, one of these triangles, or the triangle symmetrical with it, may be placed on the other, as is...
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ELEMENTARY GEOMETRY, WITH APPLICATIONS IN MENSURATION.

CHARLES DAVIS, L.L. D. - 1850
...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 to the angle...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 216 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 to...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...equal spheres, are equal in all their parts, when two angles and the included side of the .one are equal to two angles and the included side of the other, each to each. For, one of these triangles, or the triangle symmetrical with it, may be placed on the other, as is...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 324 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 to the...
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