| Euclid - Mathematics - 1892 - 167 pages
...put the letters QED ie Quod erat demonstrandum, ' which was to be proved.' Proposition 4. 49. If two **triangles have two sides of the one equal to two sides of the** other each to each and also the angles contained by those sides equal, the two triangles are equal... | |
| Seth Thayer Stewart - Geometry - 1893 - 225 pages
...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.... | |
| Henry Martyn Taylor - 1893 - 504 pages
...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 - Geometry - 1894 - 138 pages
...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 - Mathematics - 1894
...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 - 657 pages
...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... | |
| Great Britain. Civil Service Commission - Civil service - 1896 - 96 pages
...that of the (n -4- l)th term. Expand («2ж2 — 2ж4)-2 as far as the term involving ж5. 5. If two **triangles have 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 of them greater than the angle... | |
| Lawrence Robert Dicksee - Accounting - 1897 - 99 pages
...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... | |
| Seymour Eaton - 1899 - 340 pages
...and the beginner should not attempt to proceed farther until he has thoroughly mastered it. 1. If two **triangles have two sides of the one equal to two sides of the** other, must the triangles be equal in all respects ? . Z. AB is a straight line; D is its middle point;... | |
| Henry Sinclair Hall, Frederick Haller Stevens, Euclid - Mathematics - 1900 - 304 pages
...equal to the three sides of the A DEF ; .'. the A ABC = the A DEF in all respects. i. 8. 13. If two **triangles have two sides of the one equal to two sides of the** other, each to each, and have likewise the angles opposite to one pair of equal sides equal, then the... | |
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