 | George Bruce Halsted - Geometry - 1896 - 208 pages
...third, that cutting the axis is the greater. Proof. BA = BC + CA' ; BC+ CA > BA'. 304. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...be careful to give the authority for each step. 10 2. Under what conditions are two triangles, which have two sides of the one respectively equal to two sides of the other, equal to one another ? 14 3. Give the enunciation and construction of I. II. 14 4. Prove that the parallelograms... | |
 | William Chauvenet - 1893 - 340 pages
...the triangle which has the greater included angle has the greater third side. PROPOSITION XV. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included... | |
 | 1894 - 1136 pages
...if he had 8 less of each he would only have 6 geese for 7 ducks. How many had he of each ? 7. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained • angles unequal, the base of the triangle which has the greater contained angle... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...placed among the axioms to be memorized, but it is equally an axiom nevertheless. ] Theorem 10. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then the third sides are unequal, the greater side being opposite... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...III on I, Reflex ZAB3C>ZCB3A>ZCB1A. 7. But ZB1B3C =ZCB1B3. 8. .'.ZABuB1 >ZB3BlA. Theorem 11. If two triangles have two sides of the one respectively equal to two sides of the other, bat the third sides unequal, then the included angles are unequal, the greater angle being opposite... | |
 | John Macnie - Geometry - 1895 - 386 pages
...BC to be the greatest side, and drawing AD perpendicular to BC. PROPOSITION XX. THEOREM. 90.. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the greater angle is subtended by a greater base. Given : Two triangles... | |
 | 1898 - 830 pages
...triangle and the external bisector of the other base angle is equal to half the vertical angle. 6. If two triangles have two sides of the one respectively equal to two sides of the other, but their bases unequal, their vertical angles are unequal. Give a direct proof of this. 7. Prove geometrically... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...the section and the equal sides are equal angles are equal. equal. PROPOSITION X. 77. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then the third sides are unequal, the greater side being opposite... | |
 | Education - 1900 - 898 pages
...the side PQ is greater than PI!, prove that the angle PKQ is greater than the angle PQR. 7. 2. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angles unequal, the l>ase of the triangle which has the greater contained angle shall... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. 
