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" If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second. "
Plane and Solid Geometry - Page 45
by Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 pages
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 370 pages
...Converse may readily be taught to pupils, and it has several applications in geometry. THEOREM. If two triangles have two sides of the one equal respectively...of the other, but the included angle of the first triangle greater than the included angle of YY the second, then the third side of the first is greater...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 360 pages
...taught to pupils, and it has several applications in geometry. THEOREM. If two triangles have tu'o sides of the 'one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...subtends the greater arc. 6. Show how to construct a triangle equivalent to a given polygon. 7. 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 included angle of the first...
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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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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...case where a 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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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...they have the three sides of 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 - Geometry, Modern - 1912 - 368 pages
...the triangle DEC, the proof 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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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...every case where a 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 Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...the triangle DEC, the proof 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 and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...with BO + OC'. 5. Compare BO + OC' with BO + OC or its equal BC. Therefore — 124. THEOREM. // two triangles have two sides of the one equal respectively to two sides of the other and the third sides unequal, the included angles are unequal and that angle is the greater which is...
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