| George Clinton Whitlock - Mathematics - 1848 - 324 pages
...distance from one point to another, shortest distance from a point to a line, &c 75 7. Triangles having **two sides of the one equal to two sides of the other, each to each,** but the included angles unequal 76 8. Consequences — triangles having their sides severally equal,... | |
| Great Britain. Council on Education - Education - 1848
...parallel to the same straight line are parallel to one another. 2. If two triangles have two sides qf **the one equal to two sides of the other, each to each,** but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
| Charles Davies - Trigonometry - 1849 - 384 pages
...it has just been 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 to the... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...greater than the side AC, then will the angle ACB be greater than the angle ABC. PROPOSITION XIII. **THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each,** but the included angles unequal, the, base of that which has the greater angle^will be greater than... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOR. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
| Education - 1850 - 488 pages
...upon one side of it, are either two right angles, or are together equal to two right angles. 3. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
| 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 of the... | |
| 1851 - 716 pages
...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 the... | |
| Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 714 pages
...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 the... | |
| Janet Taylor - Nautical astronomy - 1851 - 702 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... | |
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