| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 pages
...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 - Conic sections - 1854 - 350 pages
...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.... | |
| William Somerville Orr - Science - 1854 - 534 pages
...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 - Geometry - 1854 - 520 pages
...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,... | |
| Popular educator - 1852 - 1272 pages
...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... | |
| Education - 1855 - 1124 pages
...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...third sides will be unequal; and the greater side will** Jbelong to the triangle which has the greater included angle. 2. Prove that two parallels intercept... | |
| Mathematics - 1866 - 426 pages
...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... | |
| Euclid - Geometry - 1892 - 460 pages
...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 - Geometry - 1896 - 208 pages
...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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