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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 Spherical Trigonometry and Mensuration - Pàgina 32
per Aaron Schuyler - 1875 - 251 pàgines
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 pàgines
...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

Adrien Marie Legendre - 1839 - 372 pàgines
...namely, the side EF=BC, the angle E=B, and the angle F=C PROPO8ITION VI. THEOREM. If two triangles have two angles and the included side of the one,...and the included side of the other, each to each, the two triangles will be equal. Letthe angleEbe equal to the angle B, the angle F to the angle C....
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 262 pàgines
...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 of the one...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

1843 - 376 pàgines
...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 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 - 1847 - 326 pàgines
...required. This is obvious from what has already been done. PROPOSITION IV. THEOREM. If two triangles have two angles and the included side of the one equal...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 - 1849 - 372 pàgines
...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 the one,...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 - 1849 - 252 pàgines
...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 - 1850 - 218 pàgines
...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 - 1850 - 238 pàgines
...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 - 1852 - 436 pàgines
...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 of the one,...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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