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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. "
Marks' First Lessons in Geometry: Objectively Presented - Page 138
by Bernhard Marks - 1869 - 157 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...on 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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...DFE. Therefore, if two triangles, dec. PROPOSITION XIV. THEOREM. If two triangles on equal spheres have two angles, and the included side of the one,...and the included side of the other, each to each, their third angles will be equal, and their other sides will be equal, each to each. B'e EDF, the angle...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 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 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 D, the angle B...
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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: 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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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 from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...on 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 - 1855 - 340 pages
...to each, are equal : for if applied the one to the other, the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side...side of the other, each to each, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal to the angle D, the angle B equal...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...this manner, many of the fundamental principles of Geometry have been proved : thus, it is proved, that if two triangles have two angles and the included...and the included side of the other, each to each, they will be equal. It is also proved, by the method of application, that the diameter of a circle...
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