| Euclides - 1847 - 128 pages
...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 - Geometry - 1847 - 248 pages
...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 pages
...the base of that which has the greater angle, shall be greater than the base of the other. PROP. XXV. **THEOREM. 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 contained by the sides of that... | |
| Great Britain. Committee on Education - Education - 1848 - 598 pages
...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 - 388 pages
...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 - 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... | |
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