| George Clinton Whitlock - 1848 - 324 pagina’s
...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 - 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 - 1849 - 359 pagina’s
...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... | |
| Euclides - 1849
...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... | |
| Elias Loomis - 1849 - 226 pagina’s
...make DG equal to AC or DF, and join EG, GF. PROPOSITION xiv. THEOREM (Converse of Prop. XIII.). If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the bases unequal, the angle contained by the sides of that which has the greater base, will be... | |
| 1850
...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
...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...likewise the angles contained by those sides equal to** one another. Wherefore, by the 4th Proposition of the First Book of ELEMENTS, the two triangles are... | |
| Harvey Goodwin - 1851 - 173 pagina’s
...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 be equal to the angle... | |
| 1851
...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 - 1851
...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... | |
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