| Queensland. Department of Public Instruction - 1892 - 508 páginas
...MA Mr. EM Moors, MA 1. Upon a given base describe an isosceles triangle equal to a given triangle. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle» opposite a pair of equal sides equal : then if the angles opposite to the other pair... | |
| George Bruce Halsted - 1896 - 208 páginas
...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... | |
| Euclid, John Bascombe Lock - 1892 - 188 páginas
...joining their vertices is bisected by the straight line containing their bases. 4. Two triangles, which have two sides of the one equal to two sides of the other respectively and have the included angles supplementary, are of equal area. 5. The side BC of... | |
| Seth Thayer Stewart - 1893 - 262 páginas
...ACGF (P. xx., CI); and, also, Д D BE = JDEGF; and, .-., Д DBE + & ABC= J oACED. (Ax. in.) 5. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the included angles are supplementary, the two triangles will be equivalent. The Дs have —... | |
| Henry Martyn Taylor - 1893 - 486 páginas
...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 páginas
...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... | |
| Edinburgh Mathematical Society - 1894 - 284 páginas
...replaced by O, and let V, W be the mid points of BO, CO. Then the right-angled triangles OVO,, OW©, have two sides of the one equal to two sides of the other ; therefore OO, bisects LO,O,O:,. Similarly for OO2, OO:, (22.) If 00» OO2, 002 be produced... | |
| Henry Martyn Taylor - 1895 - 708 páginas
...AC, but not equal to one another. Prove that this triangle is less than the triangle ABC. 83. If two triangles have two sides of the one equal to two sides of the other, and the sum of the two angles contained by these sides equal to two right angles, the triangles... | |
| Queensland. Department of Public Instruction - 1897 - 446 páginas
...to the angle which is contained by the two sides of the other. 20 0. If two triangles have two Bides of the one equal to two sides of the other, each to...each, but the angle contained by the two sides of the one greater than the angle contained by the corresponding sides of the other; then the base of... | |
| Lawrence Robert Dicksee - 1897 - 122 páginas
...Q. 3.—The Life and Work of Stephen Langton or Francis Bacon. GEOMETEY. Q. 1.—Prove that, if two triangles have two sides of the one equal to two sides of the other, each to each, and the contained angles equal, the bases are also equal. Q. 2. Show that the distances of the ends... | |
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