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" If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other... "
Elements of Geometry: With, Practical Applications - Page 28
by George Roberts Perkins - 1850 - 320 pages
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal to three sides of the other, Provided...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal to three sides of the other, Provided...
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Plane Geometry

Edward Brooks - 1901 - 278 pages
...the opposite interior angles, A or C. PROPOSITION XIX. — THEOREM. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Given. — Let ABC and DEF be two triangles having AB equal to DE, AC equal to DF, and...
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Plane and Solid Geometry

Arthur Schultze - 1901 - 392 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal to three sides of the other, Provided...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 360 pages
...possible. Nevertheless he might as well have proved this as that two triangles are congruent if two sides and the included angle of the one are respectively equal to the corresponding parts of the other, and he might as well have postulated the latter as to have substantially...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 488 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal to three sides of the other, Provided...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...675. Two triangles on the same sphere or on equal spheres are either congruent or symmetric if two sides and the included angle of the one are respectively equal to the corresponding parts of the other. Given two spherical triangles ABCan&A'B'C'j withAB=A'B', AC =...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...675. Two triangles on the same sphere or on equal spheres are either congruent or symmetric if two sides and the included angle of the one are respectively equal to the corresponding parts of the. other. Given two spherical triangles ABC &n& A'B'C', witb.AB=A'B\ AC...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...675. Two triangles on the same sphere or on equal spheres are either congruent or symmetric if two sides and the included angle of the one are respectively equal to the corresponding parts of the other. Given two spherical triangles ABC &n& A'B'C', withAB=A'B', AC...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal to three sides of the other, Provided...
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