| William Somerville Orr - 1854 - 534 pàgines
...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... | |
| Popular educator - 1854 - 922 pàgines
...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 - 1854 - 350 pàgines
...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 pàgines
...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 pàgines
...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... | |
| Robert Potts - 1855 - 1050 pàgines
...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...one shall be equal to the angle contained by the two 8. What is meant by a Definition, an Axiom, a Postulate, a Problem, a Theorem f Derive the words, and... | |
| 1866 - 426 pàgines
...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... | |
| John Playfair - 1855 - 340 pàgines
...sides of the othei each to each, and have likewise their bases equal ; the angle which is contain ed by the two sides of the one shall be equal to the angle contained by the two sides of tiie other. Let ABC, DEF be two triangles having the two sides AB, AC, equal to the two sides DE,... | |
| Euclid - 1892 - 460 pàgines
...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... | |
| George Bruce Halsted - 1896 - 208 pàgines
...that cutting the axis is the greater. Proof. BA=BC+ CA = BC + CA'>BA'. 406. Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
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