 | 1836 - 502 σελίδες
...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.... | |
 | Euclides - 1837 - 112 σελίδες
...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, Robert Simson - 1837 - 290 σελίδες
...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,... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...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... | |
 | Charles Reiner - 1837 - 246 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...is made equal to the given rectilineal angle JDCE. Which was to be done. 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 sides equal to... | |
 | Euclides - 1838 - 264 σελίδες
...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... | |
 | Euclides - 1841 - 378 σελίδες
...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... | |
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