 | Popular educator - 1854 - 940 pages
...any angle of a triangle bisecting the opposite side, bisects the triangle. Corollary 2. — If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by the two sides of the one, the supplement of the angle contained by the two sides... | |
 | William Somerville Orr - Science - 1854 - 532 pages
...pair of opposite triangles thus formed will be together equal to half the parallelogram. 14. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the angle contained by the two sides of the one, together icit/i that contained by the two sides... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...that BO+OC<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOREM. 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 to the... | |
 | Popular educator - 1854 - 1274 pages
...above mentioned. Let лис, fig. 1, and DBF, figs. 2, 3, aud 4, be two triangles which have two Rides of the one equal to two sides of the other each to euch, viz., the side AB to the side DE, and the side AC to the side DF, but the angle ВАС greater... | |
 | Mathematics - 1866 - 426 pages
...Corollary just as I. 5 follows out of I. 4. Now the general proposition I. 4 is as follows: 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 to one another, they also have their basis on third... | |
 | Education - 1855 - 1134 pages
...ACADEMY. EXAMINATION PAPERS, JCLT, 1854. LEOENDRE'S GEOMETRY. Introductory Class. 1. Prove that, 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 Jbelong to... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...in a given fine which shall beat the same perpendicular distance from two given lines. .'3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by ihe two sides of the one greater than the angle contained by the two sides... | |
 | Euclides - 1855 - 262 pages
...line E (r cuts the straight line DF in some point between D and F. PR 0 P. XXV. THE 0 RE M. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle contained by the two sides of... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...Moors, MA 1. Upon a given base describe an isosceles triangle equal to a given triangle. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle» opposite a pair of equal sides equal : then if the angles opposite to the other pair of... | |
 | Euclid - Geometry - 1892 - 460 pages
...the given point A, an angle equal to the given angle DCE. QEF PROPOSITION 24. If two triangles /iMve two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one greater than the angle contained by the corresponding... | |
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If two triangles have two sides of the one equal to two sides of the... 
