| Andrew Bell - 1837 - 240 pagina’s
...one triangle is upon a side of the other, needs no demonstration. PROPOSITION VIII. THEOREM. 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... | |
| Euclid - 1837 - 390 pagina’s
...the angle A is made equal to the given angle C : which was to be done, f PROP. XXIV. THEOR. IF two **triangles have two sides of the one equal to two sides of the other, each to each,** but the angles contained by those sides unequal : the base of that which has the greater angle is greater... | |
| Euclides - 1837
...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... | |
| C. Reiner - 1837 - 215 pagina’s
...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 - 1837
...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 - 1837 - 135 pagina’s
...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... | |
| Euclid - 1838 - 416 pagina’s
...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
...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 - 351 pagina’s
...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
...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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