 | Euclides - 1853 - 176 pagina’s
...the other, and be equal to them, viz. the angle ab С to the angle def and the angle a С b to df e. Therefore, if two triangles have two sides of the...equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, their bases shall likewise... | |
 | Popular educator - 1854 - 922 pagina’s
...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 of the... | |
 | William Somerville Orr - 1854 - 534 pagina’s
...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 - 350 pagina’s
...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 pagina’s
...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 triangle... | |
 | Popular educator - 1852 - 1272 pagina’s
...other, the sides also which subtend the equal angles, shall be equal to one another. 4. Show that 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... | |
 | Thomas Lund - 1854 - 520 pagina’s
...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,... | |
 | Euclides - 1855 - 270 pagina’s
...extremities of the base, are together equul to the square of the base. PROP. С. THEOREM.— If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to either of the two equal sides be each a right angle, the triangles are equal to... | |
 | 1855 - 1124 pagina’s
...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 the... | |
 | 1866 - 426 pagina’s
...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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If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to each other; they shall likewise have their bases, or third sides, equal; and the two triangles shall... 
