| Euclides - Euclid's Elements - 1837 - 112 pages
...rectilineal angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION XXIV. **Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each,** but the angle contained by two sides of one of them greater than the angle contained by the two sides... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...when three sides of the one are equal to three sides of the other, each to each. 5. Again : if two **triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other, the angle contained by the sides of that... | |
| Charles Reiner - Geometry - 1837 - 254 pages
...what will necessarily be concluded with respect to their third sides or bases, ef and be? P.—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 the one greater than the angle contained by the... | |
| Edward Tagart - Logic - 1837 - 156 pages
...question within a certain class, viz. the class of angles subtended by equal bases, in triangles which **have two sides of the one equal to two sides of the** other, of which equality is demonstrated ia the fourth proposition : and let us remember that every... | |
| Robert Simson - Geometry - 1838 - 434 pages
...another, and likewise those which are terminated in the other extremity. QED PROP. VIII. THEOR. 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 equal to the angle... | |
| Euclides - 1838 - 264 pages
...sufficiently long for this. It must of course be produced. PROP. XXIV. THEOR. If two triangles haee **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 contained ky the two... | |
| Euclides - Geometry - 1841 - 378 pages
...and therefore BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOR. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other; the angle contained by the sides of that... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...the comparison of triangles. This important theorem, as stated by Euclid, is aa follows :— If two **triangles have two sides of the one equal to two sides of the other, each to each, and have** Uk«win the angles contained by those sides equal to one another, their bases, or third sides, shall... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...line AB, the angle FAG is made equal to the given rectilineal angle DCE. PROP. XXIV. THEOR. 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 the one greater than the angle contained by the two sides... | |
| Education - 1844 - 688 pages
...parallel straight lines. When are segments of circles said to be similar ? 2. If two triangles hare **two sides of the one equal to two sides of the other, each to each, and have likewise** their bases equal ; the angle contained by the two sides of the one shall be equal to the angle contained... | |
| |