 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...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... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...St John's College. CHARLES OCTAVUS BCDD, MA, Pembroke College. THURSDAY, Jan. 6. 9... 12. 1. IF two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle which is contained by the two sides... | |
 | Janet Taylor - Nautical astronomy - 1851 - 674 pages
...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 - 716 pages
...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... | |
 | 1867 - 336 pages
...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... | |
 | Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 pages
...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,... | |
 | Euclides - 1852 - 152 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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, their... | |
 | London univ - 1852 - 358 pages
...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 equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to each other ; they... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...been shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...straight lines, a part AE has been cut off equal to C the less. Which was to be clone. PROPOSITION 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 ;... | |
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THEOREM. IF two triangles have two sides of the one equal to two sides of the... 
