| Euclides - 1847 - 128 pages
...has been described upon the gn. straight line AB. — QEF PROP. IV. THEOREM. GEN. ENUN. — If two **triangles have two sides of the one equal to two sides of the other, each to each,** and have also the angles contained by those sides equal, they shall likewise have their bases, or third... | |
| 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... | |
| J. Goodall, W. Hammond - 1848 - 390 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...each, but the angle contained by the two sides of** the one greater than the angle contained by the two sides equal to them of the other; the base of that... | |
| Great Britain. Committee on Education - 1848 - 606 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...each, but the angle contained by the two sides of** the one greater than the angle contained by the two sides equal to them of the other ; the base of... | |
| Great Britain. Council on Education - Education - 1848 - 596 pages
...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 equal to them of the other ; the base of... | |
| Euclides - 1848 - 52 pages
...greater of two given straight lines, to cut off a part equal to the less. 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 shall likewise... | |
| George Clinton Whitlock - Mathematics - 1848 - 338 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, a quadrilateral... | |
| George Clinton Whitlock - Mathematics - 1848 - 340 pages
...cosa cos6 + sina sinft cos C. ; Cor. 1. If two spherical triangles have two sides of the (536) one **equal to two sides of the other each to each but the** included angles unequal, the remaining sides will be unequal and the greater side will be opposite... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...line AB, the angle FAG is made equal to the given rectilineal angle DCE. PROP. XXIV. THEOR. If two **triangles have two sides of the one equal to two sides of the other, each to each, but the angle** contained-liy the two sides of the one greater than the angle contained by the two sides of the other... | |
| Elias Loomis - Conic sections - 1849 - 252 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 greater base, will be greater... | |
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