| John Playfair - Geometry - 1837 - 332 pages
...from AB the greater of two straight lines, a part AE has been cut off equal to C the less. PROP. IV. **THEOREM. If two triangles have two sides of the one...sides of the other, each to each ; and have likewise** the angles contained by those sides equal to one another, their bases, or third sides, shall be equal... | |
| 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... | |
| Euclid - Geometry - 1837 - 410 pages
...to A 15. the line € might be produced, till it and the part added would be equal to AB. PROP. IV. **THEOREM. IF two triangles have two sides of the one equal to two sides of the other, each to each** ;t and have also the angles contained by those sides equal to one another : (!..) they have likewise... | |
| 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
...two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. **THEOREM. IF two triangles have two sides of the one...sides of the other, each to each ; and have likewise** the angles contained by those sides equal to one another, they shall likewise have their bases, or... | |
| 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 - 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... | |
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