 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.  The Essentials of Geometry (plane) - Page 39by Webster Wells - 1898 - 242 pagesFull view - About this book
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...bisectors of two adjacent angles formed are mutually perpendicular. THEOREM XXII 132. If two triangles have 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 second, the third side of... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...bisected by the line AX. QEF PROPOSITION XXIV. THEOREM. 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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...given condition, .'. BOCA. QED PROPOSITION XXIII. THEOREM 115. If two triangles have two 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... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...impossible. 7. .-. 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...included Z of the first > the included Z of the second, then the third side of the first > the third side of the second. ยง 172. 3. By hyp., AC> DF. 4. Two... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...prove AC greater than III). A PBOPOSITION XX. THEOREM (Converse of Prop. XIX) 173. 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, then the angle opposite the third... | |
 | Geometry, Plane - 1911 - 192 pages
...by a chord which is 3 inches from the centre of the circle. SEPTEMBER, 1904 1. (a) If two triangles have two sides of one equal, respectively, to two sides of the other and the included angles unequal, the triangle with the greater included angle has the greater third... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...pupils, and it has several applications in geometry. THEOREM. If two triangles have two 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 YY the second, then the third side of... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...octagon is greater than the perimeter of the square. PROPOSITION XXXI. 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... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...octagon is greater than the perimeter of the square. PROPOSITION XXXI. 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... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...prove .AC greater than BD. A PBOPOSITION XX. THEOREM (Converse of Prop. XIX) 173. 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, then the angle opposite the third... | |
| |
