| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...line. 151. If two triangles have two sides of one equal respectively to two sides of the other and **the third side of the first greater than the third side of the second,** the included angle of the first is greater than the included angle of the second. 171. In the same... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...taken PROPOSITION XXXII. THEOREM 133. 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,** PLANE GEOMETRY then the included angle of the first is greater than the included angle of the second.... | |
| Mathematicians - 1924 - 544 pages
...triangle, and when no angle is greater than 120° it is inside. If we consider a pair of triangles having **two sides of one equal to two sides of the other, but the** included angles bearing the relation, that in the first it is 120° — <p, and in the second 120°... | |
| Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...sides of one triangle are equal to two sides of a second triangle and the third side of the first is **greater than the third side of the second, then the angle opposite the third side of the first** triangle is greater than the angle opposite the third side of the second In the same circle or in equal... | |
| Walter Prenowitz, Meyer Jordan - Mathematics - 1986 - 380 pages
...equal, respectively, to two sides of a second triangle, and the third side of the first triangle is **greater than the third side of the second, then the angle opposite the third side** in the first triangle is greater than the angle opposite the third side in the second. An exterior... | |
| The Editors of REA - Mathematics - 2013 - 112 pages
...sides of one triangle are equal to two sides of a second triangle and the third side of the first is **greater than the third side of the second, then the angle opposite the third side of the first** triangle is greater than the angle opposite the third side of the second. 7.3 Inequalities in Circles... | |
| Howard Whitley Eves - Mathematics - 1997 - 370 pages
...third. 23. At a given point on a given straight line to construct an angle equal to a given angle. 24. **If two triangles have two sides of one equal to two sides of the other, but the** included angle of the first is greater than the included angle of the second, then the third side of... | |
| William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...5 (cn) 382. Theorem. In triangles with two sides of one equal respectively to two sides of another, **but the third side of the first greater than the third side of the second,** the angle opposite the third side of the first is greater than the angle opposite the third side of... | |
| V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...parallelogram and X is any point in the diagonal AC. Show that AABX and AADX are of equal area. 12. **If two triangles have two sides of one equal to two sides of the** other and the included angles are supplementary, prove that they are equal in area. 13. If in quadrilateral... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1876 - 568 pages
...FIRST PAPER. NB — The University Prizea in Geometry were awarded for answering in this Pap?:. 1 . **If two triangles have two sides of one equal to two sides of the** other each to each, but the included angles unequal, the base of that which has the greater angle will... | |
| |