 | 1836 - 502 sider
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
 | Euclid, James Thomson - 1837 - 410 sider
...base equal to one another, and likewise those which are terminated in the other extremity. 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 : (1.) the angle which is contained by the two sides of the one... | |
 | John Playfair - 1837 - 332 sider
...another, and likewise those which are terminated in the other extremity equal to one another. 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... | |
 | Euclides - 1837 - 112 sider
...given straight lines : „ to cut oft' a part equal to \ 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 also the angles contained by those sides equal; the bases or third sides of the triangles... | |
 | Andrew Bell - 1837 - 290 sider
...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,... | |
 | Charles Reiner - 1837 - 246 sider
...with one instance of the equality of triangles ; what is it ? P. — Two triangles are equal when they 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. M. — Now, I think, from what you have... | |
 | Charles Reiner - 1837 - 254 sider
...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 sider
...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 sider
...equal to one 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... | |
 | Euclides - 1838 - 264 sider
...arc equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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, tueir bases shall likewise... | |
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If two triangles have two sides of the one equal to two sides of the... 
