| Euclid, Thomas Tate - 1849 - 120 pages
...lines, a part AE has been cut off equal to c the less. Which was to be done. PROP. IV. THEOREM. If two **triangles have two sides of the one equal to two sides of the other, each to each** ; and have likewise the angles contained by those sides equal to one another; they shall likewise have... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...found that BO+ OC< BD +DC; therefore, still more isBO + OC<BA + AC. PROPOSITION IX. THEOREM. If two **triangles have two sides of the one equal to two sides of the other, each to each,** and the included angles unequal, the third sides will be unequal; and the greater side will belong... | |
| 1851 - 716 pages
...in the triangle abc, (fig. 14), ab is greater than ac, then is also / acb greater than £ abc, &c. **3. If two triangles have two sides of the one equal to two sides of the other, each to each,** and the included angle unequal, the third sides will be unequal, and the greater side will belong to... | |
| Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...in the triangle abc, (fig. 14), ab is greater than ac, then is also /_ acb greater than £ abc, &c. **3. If two triangles have two sides of the one equal to two sides of the other, each to each,** and the included angle unequal, the third sides will be unequal, and the greater side will belong to... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...St John's College. CHARLES OCTAVUS BCDD, MA, Pembroke College. THURSDAY, Jan. 6. 9... 12. 1. IF two **triangles have two sides of the one equal to two sides of the other, each to each,** and have likewise their bases equal, the angle which is contained by the two sides of the one shall... | |
| Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 pages
...because the angles OVK and IVY -are vertical angles, they are equal Therefore the triangles KVO and IVY **have two sides of the one equal to two sides of the other, each to each,** and have likewise the angles contained by those sides equal to one another. Wherefore, by the 4th Proposition... | |
| Janet Taylor - Nautical astronomy - 1851 - 674 pages
...observed of the sides AC and CD, and the angles ABC, BAC. O..KD Theorem VI II. [Eu. i. 24.] If two **triangles have two sides of the one equal to two sides of the** otlwr, Lu1 the included angle of the one greater than the included angle of the oilier, (Inn the side... | |
| 1867 - 336 pages
...also the third angle of the one equal to the third angle of the other. Construct two triangles which **have two sides of the one equal to two sides of the** other, and the angles equal which are opposite to the less of the two sides. Are such triangles necessarily... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...been shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. If two **triangles have two sides of the one equal to two sides of the other, each to each,** and the included angles unequal, the third sides will be unequal; and the greater side will belong... | |
| London univ - 1852 - 358 pages
...From the greater of two given straight lines to cut off a part equal to the less. 3. Show that if two **triangles have two sides of the one equal to two sides of the other, each to each** ; and have likewise the angles contained by those sides equal to each other ; they shall likewise have... | |
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