| 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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