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" ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. "
Elements of Plane and Solid Geometry - Page 50
by George Albert Wentworth - 1877 - 398 pages
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
....-. QED REASONS 1. In this case only three suppositions are admissible. 2. If two A have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z of the second, then the third side of the first > the third side of...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...the one equal, respectively, to the three sides of the other. 132. If two triangles have two sides of the 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...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...is similar to the one given above. PROPOSITION XXXII. THEOREM 232. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...is similar to the one given above. PROPOSITION XXXII. THEOREM 232. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...is made a complete explanation of the • work must be given.~\ 1. If two triangles have two sides of the one equal respectively to two sides of the other, but the contained angles not equal, prove that that triangle in which the contained angle is greater has the...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...construction is made a complete explanation of the work must be given.~\ 1. If two triangles have two sides of the one equal respectively to two sides of the other, but the contained angles not equal, prove that that triangle in which the contained angle is greater has the...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
.... QED REASONS 1. In this case only three suppositions are admissible. 2. If two A have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z. of the second, then the third side of the first > the third side of...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...practical problems, p. 289, No. 21.] PROPOSITION XXXI. THEOREM 132. If two triangles have two sides of the one equal respectively to two sides of the...angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C ' with Proof STATEMENTS Apply A...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...side is opposite the greater angle. 76. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the included angle...angle of the second, then the third side of the first is greater than the third side of the second. 77. Corollary 2. If two oblique lines are drawn from...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...angle. 76. Corollary 1. Iftwo triangles have two sides of the one equal to two sides of the other, l)nt the included angle of the first greater than the included...angle of the second, then the third side of the first is greater than the third side of the second. 77. Corollary 2. If two oblique lines are drawn from...
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