 | Euclides - 1852 - 152 pàgines
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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 one another, their bases shall likewise... | |
 | Euclides - 1853 - 176 pàgines
...Therefore, upon the same base, and on the same side of it, &c. QED PROPOSITION VIII. — THEOREM. 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 shau... | |
 | Euclides - 1853 - 146 pàgines
...viz. G. The angle ABC shall be equal to the angle DEF, and the angle ACB to DFE. Therefore, 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 one another, their bases shall likewise... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...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.,... | |
 | 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... | |
 | 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... | |
 | Thomas Lund - 1854 - 520 pàgines
...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... | |
 | 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... | |
 | Henry Martyn Taylor - 1893 - 486 pàgines
...one of its angles, and having its sides each equal to a given straight line. PROPOSITION 4. If two triangles have two sides of the one equal to two sides of the other, and also the angles contained by those sides equal, the two triangles are equal in all resjiects.... | |
 | George Albert Wentworth, George Anthony Hill - 1894 - 150 pàgines
...sides and the projection of the other upon it. PRINCETON COLLEGE, June, 1891. 1. Prove that if two triangles have two sides of the one equal to two sides of the other, but the included angle of the first greater than the included angle of the second, then the... | |
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IF two triangles have two sides of the one equal to two sides of the... 
