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" ... the third side of the first is greater than the third side of the second. "
Elements of Geometry: Plane geometry - Page 47
by Andrew Wheeler Phillips, Irving Fisher - 1896
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Plane Geometry

Arthur Schultze - 1901 - 260 pages
...ACf i PROPOSITION XXXI. THEOREM 129. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXX.]...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...ABoiAC? 46 PROPOSITION XXXI. THEOREM 129. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXX.]...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...ABoT AC? PROPOSITION XXXI. THEOREM 129. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXX.]...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...AC1 D PROPOSITION XXXI. THEOREM 129. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXX.]...
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Non-Euclidean Geometry

Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...third side of the second; and conversely, if two triangles have two sides of one equal, respectively, to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of...
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Non-Euclidean Geometry

Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...and conversely, if two triangles have two sides of NON-EUCLIDEAN GEOMETRY one equal, respectively, to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of...
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Non-Euclidean Geometry

Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...third side of the second; and conversely, if two triangles have two sides of one equal, respectively, to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of...
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Non-Euclidean Geometry

Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 113 pages
...of the second ; and conversely, if two triangles have two sides of one equal, respectively, to tivo sides of the other, but the third. side of the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...triangle are equal, respectively, to two sides of another, but the third side of the first triangle is greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second. 160. The perpendicular bisector...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...than E F. THEOREM XXVIII. 93. Conversely, if two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first is greater than the included angle of the second. I In the triangles...
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