 | Andrew Bell - 1837 - 290 páginas
...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... | |
 | Euclides - 1837 - 112 páginas
...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 - 1837 - 246 páginas
...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... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...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... | |
 | Charles Reiner - 1837 - 254 páginas
...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 - 156 páginas
...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 - 1838 - 434 páginas
...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 páginas
...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 páginas
...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 páginas
...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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If two triangles have two sides of the one equal to two sides of the... 
