 | Andrew Bell - 1837 - 290 páginas
...two straight lines, a part 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | John Playfair - 1842 - 332 páginas
...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... | |
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If two triangles have two sides of the one equal to two sides of the... 
