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" If two triangles have two sides of the one equal respectively to two sides of the other, but 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.... "
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 28
by George Roberts Perkins - 1856 - 235 pages
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...Theorem IX? Also Corollary II, § 97 from Theorem VIII? THEOREM X 130. If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. Given:...
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Secondary-school Mathematics, Book 1

Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...the greater side . 105 THEOREM XXII 132. If two triangles hare two sides of one equal respectively to two sides of the other, and the included angle...of the first greater than the included angle of the other, the third side of the first is greater than the third side of the second 108 Parallelograms...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...131. If two triangles have two sides of the one equal, respectively, to two sides of the other, but 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. D G Given As ABC and...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1911 - 250 pages
...be bisected by lines which meet at 0, show that A OB is also an isosceles triangle. (10) A 3. If two triangles have two sides of the one respectively equal to two sides of the other, and have likewise their bases equal, show that the angle which is contained by the two sides of the one...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...triangles: If two triangles have two sides of one equal respectively to two sides of the other, but 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. (c) Every point not...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...extent.) 1. If two triangles have two sides of one equal respectively to two sides of the other, but 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. State and prove the...
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An Introduction to Mathematics

Alfred North Whitehead - Mathematics - 1911 - 255 pages
...triangles are in all respects equal, if: — Either, (a) Two sides of the one and the included angle are respectively equal to two sides of the other and the included angle: Or, (6) Two angles of the one and the side joining them are respectively equal to two angles of the...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...THEOREM 231. If two triangles have two sides of one equal respectively to two sides of the other, but 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. F Given the triangles...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...THEOREM 231. If two triangles have two sides of one equal respectively to two sides of the other, but 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. Given the triangles...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...THEOREM 172. If two triangles have two sides of one equal respectively to two sides of the other, but 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. Given two A ABC and...
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