| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...AE has been cut off equal to C, the less. PROPOSITION IV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, thenbases, or third sides, shall be equal... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...greater than EF. Therefore, if two triangles, &c. PROP. XXV. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, but their bases unequal ; the angle contained by the sides of that which has the greater base, is greater... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...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... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
....'. EG or BC > EF. PROPOSITION XXV. (Argument ad absurdum). Theorem. 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
...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... | |
| 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
...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
...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... | |
| Euclides - 1842 - 316 pages
...line/g' ; therefore (8. 1.) the angle dee is equal to 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 one of them greater than the angle contained by the two... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...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... | |
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