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 41by Arthur Schultze - 1901Full view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...the lines AB and CD, and at a distance of ^ in. from each of them. Exercise 16. Page 77 1 . If two **triangles have two sides of the one equal respectively to two sides of the other,** and the angles opposite two equal sides equal, the angles opposite the other two equal sides are 'equal... | |
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