 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 side of the second...  A Text-book of Geometry - Page 46by George Albert Wentworth - 1889 - 242 pagesFull view - About this book
 | 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... | |
 | 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... | |
 | 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... | |
 | 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,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second; and conversely, if two triangles... | |
 | 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,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second; and conversely, if two triangles... | |
 | 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,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second; and conversely, if two triangles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...forming the acute angle ADB, which is the greater side, ABoiAC? 46 PROPOSITION XXXI. THEOREM 129. 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 included angle of the first... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...forming the acute angle ADB, which is the greater side, ABor AC1 D PROPOSITION XXXI. THEOREM 129. 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 included angle of the first... | |
 | Arthur Schultze - 1901 - 260 pages
...forming the acute angle ADB, which is the greater side, AB or ACf i PROPOSITION XXXI. THEOREM 129. 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 included angle of the first... | |
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