| Euclides - 1847 - 128 Seiten
...st. line AB, the Z FAG has been made = the gn. Z DCE.— QEF PROP. XXIV. THEOR. GEN. ENUN. — 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... | |
| Charles William Hackley - 1847 - 248 Seiten
...ABC = 2AEB, and ACB = 2ADC .-. ABC and ACB are equal the given angles. QED ~ "~ THEOREM XXXII. If two **triangles have two sides of the one equal to two sides of the** other, but the included angles unequal, the third sides will be unequal, and the greater will be in... | |
| Euclides - 1848 - 52 Seiten
...straight line, to make a rectilineal angle equal to a given rectilineal angle. PROP. XXIV. THEOREM. 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... | |
| Great Britain. Committee on Education - 1848 - 604 Seiten
...Straight lines which are parallel to the same straight liue are parallel to one another. 2. 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 the one greater than the angle contained by the two sides... | |
| J. Goodall, W. Hammond - 1848 - 390 Seiten
...TRIGONOMETRY, AND MENSURATION. (One question only to be answered in each section.) Section 1. 2. 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 the one greater than the angle contained by the two sides... | |
| George Clinton Whitlock - 1848 - 324 Seiten
...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 - 384 Seiten
...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 triangle which has... | |
| Elias Loomis - 1849 - 252 Seiten
...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... | |
| Euclid, Thomas Tate - 1849 - 120 Seiten
...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... | |
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