 | 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 - 1901 - 392 pages
...except one. (Compare Props. V and VIII.) PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the...angle of the second, then the third side of the first is greater than the third side of the second. ',•-' " & Hyp. In & ABC and A'B'C' AB=A'B'; AC = A'C';... | |
 | Arthur Schultze - 1901 - 260 pages
...except one. (Compare Props. V and VIII.) PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the...angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In & ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.... | |
 | 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 - 1901 - 394 pages
...UNEQUAL LINES AND UNEQUAL ANGLES 47 PKOPOSITION 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 - 1902 - 394 pages
...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 - 1901 - 260 pages
...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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... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. 
