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
| Webster Wells - Geometry - 1898 - 284 pages
...coincide throughout, and are equal. % PROP. XXVIII. THEOREM. 91. If two triangles have two sides of **one equal respectively to two sides of the other,...first greater than the included angle of the second,** the third side of the first is greater than the third side of the second. i U. •' El ^-v Given, in... | |
| 1898 - 830 pages
...Euclid may be assumed. Mr. EARDLEY, Head Inspector. Mr. PEDLOW, District Inspector. 1. Prove that if two **triangles have two sides of the one equal respectively to two sides of the other, but** their buses unequal, their vertical angles are unequal (10 marks) ; and show that if the diagonals... | |
| Henry W. Keigwin - Geometry - 1898 - 250 pages
...THEOEEM. 78. If two triangles have two sides of one equal respectively to two sides of the other, hut **the included angle of the first greater than the included angle of the second, then the** a Y> Fio. 46. third side of the first is greater than the third side of the Let the triangles ABC and... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...alternate interior angles equal, the two lines are parallel. 2. If two triangles have two sides of **one equal respectively to two sides of the other, but the included angle** ot the first greater than the included angle of the second, the third side of the first is greater... | |
| Webster Wells - Geometry - 1898 - 250 pages
...parts are equal.] (§ 66) Again, if we suppose Z A < Z D, BC would be < EF. [If two & 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, the third side of the first is > the third side of the... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...the vertex, is parallel to the base. Proposition 49. Theorem. 60. If two triangles have two sides of **one equal respectively to two sides of the other,...first greater than the included angle of the second,** the third side of the first is greater than the third side of the second. D Hypothesis. In the A ABC... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...included by a side and the base produced. BOOK I. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. 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 the second, then the third side of the first is greater... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...angle included by a side and the base produced. PROPOSITION XXVIII. THEOREM. 154. If two triangles hace **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 first is greater... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...Zc = 60°. .'. &ACD is equilateral (why ?), and AD, half of AB = AC. .-.AB = 2AC. " K Ex. 23. 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... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...= 60°. .'. &ACD is equilateral (why ?), and AD, half of AB = AC. .'.AB-2AC. ' •B Ex. 23. 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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