| Horatio Nelson Robinson - 1854 - 350 Seiten
...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 - 1854 - 436 Seiten
...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 Seiten
...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... | |
| 1866 - 426 Seiten
...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...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, those... | |
| Great Britain. Committee on Education - 1855 - 976 Seiten
...one extremity of the base equal to one another, and likewise those which are terminated at the other. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one of them, greater than the angle contained by the... | |
| Robert Potts - 1855 - 1050 Seiten
...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... | |
| 1855 - 1124 Seiten
...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... | |
| Euclides - 1855 - 270 Seiten
...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... | |
| Rupert Deakin - 1891 - 102 Seiten
...the base of that which has the greater angle shall be greater than the base of the other. 25. 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 sides of that... | |
| Seth Thayer Stewart - 1891 - 428 Seiten
...two right angles (BOOK i., PROP, xvn.), one is obtuse and the other acute. The triangles ABC and BCH have two sides of the one equal to two sides of the other, each to each, but one included angle, B, greater than the other, C. AC is, then, greater than B H. (BOOK n., PROP,... | |
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