 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 Geometry - Page 42by George Albert Wentworth - 1899 - 256 pagesFull view - About this book
 | 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, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...CD 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... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...parts are equal.] (§ 66) Again, if we suppose ZA < ZD, BC would be < EF. [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, the third side of the first is > the third side of the... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...parts are equal.] (§ 66) Again, if we suppose ZA < ZD, BC would be < EF. [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, the third side of the first is > the third side of the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...and VIII.) UNEQUAL LINES AND UNEQUAL ANGLES 45 PROPOSITION XXX. THEOREM 128. 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... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...and the greater angle lies opposite the greater side. 4. Theorem. 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, the third side of the first is greater than the third... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...and the greater angle lies opposite the greater side. 4. Theorem. 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, the third side of the first is greater than the third... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...and the greater angle lies opposite the greater side. 4. Theorem. 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, the third side of the first is greater than the third... | |
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