| Charles Davies - 1849 - 372 páginas
...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... | |
| Euclid, Thomas Tate - 1849 - 120 páginas
...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 - 252 páginas
...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 - 488 páginas
...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 páginas
...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... | |
| Johann Georg Heck - 1851 - 712 páginas
...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... | |
| 1851 - 716 páginas
...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 - 1851 - 674 páginas
...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 páginas
...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... | |
| London univ - 1852 - 358 páginas
...the senses ? 2. 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...sides of the other, each to each ; and have likewise** the angles contained by those sides equal to each other ; they shall likewise have their bases, or... | |
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