| Charles William Hackley - Geometry - 1847 - 103 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... | |
| J. Goodall, W. Hammond - 1848
...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... | |
| Great Britain. Privy Council. Committee on Education - 1848
...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... | |
| Euclides - 1848
...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... | |
| Elias Loomis - Conic sections - 1849 - 226 pages
...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... | |
| Euclides - 1849
...lines, a part AE has been cut off equal to c the less. Which was to be done. PROP. IV. THEOREM. If two **triangles 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; they... | |
| Charles Davies, Sir David Brewster, Adrien Marie Legendre - Trigonometry - 1849 - 359 pages
...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... | |
| Mrs. Janet Taylor - Transportation - 1851
...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... | |
| 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... | |
| Johann Georg Heck - Encyclopedias and dictionaries - 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... | |
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