| Popular educator - 1854 - 922 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... | |
| Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...is greater than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** an angle opposite one of the equal sides in each, triangle equal, then will the two triangles be equal.... | |
| 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 - 1852 - 1272 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...angles contained by those sides equal to one another,** they also have their basis on third sides equal and their angles shall be equal, each to each, namely,... | |
| Robert Potts - 1855 - 1050 pages
...the duty is paid, what ought unroasted coffee to cost, neglecting the expense of roasting? 9. 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 be equal... | |
| Education - 1855 - 1124 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... | |
| John Playfair - Geometry - 1855 - 334 pages
...Ax.) C, and from AB the greater of two straight lines, a part AE has been cut off equal to C the less. **PROP. IV. THEOREM. If two triangles have two sides of the one equal to two sides of the** other, eacti to each; and have likewise the angles contained by those sides equal to one another, thein... | |
| 1891 - 718 pages
..."sq. on AB," and for "the rectangle contained by the straight lines AB.CD " Is " reot. AB,CD." 1. Two **triangles have two sides of the one equal to two sides of the** other, but the third sides are unequal ; prove that the angles opposite the unequal sides are unequal.... | |
| Queensland. Department of Public Instruction - Education - 1892 - 508 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... | |
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