| Queensland. Department of Public Instruction - Education - 1892 - 506 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 - 1192 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 - 844 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... | |
| Edward Brooks - 1901 - 278 pages
...for its equal BD, We have AD + DO BC, or AC> BC. Therefore, etc. PROPOSITION XXV. — THEOREM. // two **triangles have two sides of the one respectively equal to two sides of the other,** and the included angles unequal, the third side will be greater in the triangle having the greater... | |
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