| Euclides - 1853
...therefore also 6. BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOREM. 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 also contained by the sides of... | |
| Euclides - 1853 - 147 páginas
...also b С is greater than ef Therefore, if two triangles, &c. QED PROPOSITION XXV. — THEOREM. 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 oftlie Other; the angle also contained by the sides of... | |
| Royal Military Academy, Woolwich - 1853
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' **have two sides of the one equal to two sides of the** other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... | |
| Thomas Lund - 1854 - 192 páginas
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two **triangles have two sides of the' one equal to two...sides of the other, each to each, and have likewise** the angles formed by those sides equal to one another, they shall also have their bases, or third sides,... | |
| Popular educator - 1854
...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 - 1854
...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... | |
| Horatio Nelson Robinson - 1854 - 335 páginas
...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 - 432 páginas
...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
...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
...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... | |
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