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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. "
Plane and Solid Geometry - Page 59
by Seth Thayer Stewart - 1891 - 406 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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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 264 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 side...to two angles and the included side of the other, the remaining parts will also be equal. Q.UEST. — 1. Name the parts of one triangle, which being...
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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 side...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
...the triangle required. This is obvious from what has already been done. PROPOSITION IV. THEOREM. If two triangles have two angles and the included side...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 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...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 to the angle...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 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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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 to the angle...
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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 to...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...: consequently, the triangle EDF is equal to the triangle BAC (A. 14). PROPOSITION VI. THEOEEM. If two triangles have two angles and the included side...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 equal to the...
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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 to the...
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