 | 1851 - 716 pàgines
...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 side will belong to... | |
 | Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 pàgines
...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, by the 4th Proposition... | |
 | Janet Taylor - 1851 - 674 pàgines
...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... | |
 | 1867 - 336 pàgines
...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... | |
 | Euclides - 1852 - 152 pàgines
...is manifest that, whether CA be equal to DA or not, CB cannot be equal to DB.] BOOK I. PROP. VIII. THEOR. 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 of the one shall... | |
 | Adrien Marie Legendre - 1852 - 436 pàgines
...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 side will belong... | |
 | London univ - 1852 - 358 pàgines
...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 shall likewise have... | |
 | Euclides - 1853 - 146 pàgines
...viz. G. The angle ABC shall be equal 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 bases shall likewise... | |
 | Euclides - 1853 - 176 pàgines
...Therefore, upon the same base, and on the same side of it, &c. QED PROPOSITION VIII. — THEOREM. 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 of the one shau... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' have two sides of the one equal to two sides of the other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... | |
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If two triangles have two sides of the one equal to two sides of the... 
