| Robert Simson - 1827 - 513 pagina’s
...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 ly the sides of thai... | |
| Walter Henry Burton - 1828 - 68 pagina’s
...proposition is a fundamental one, we will prove it. Suppose two triangles, of whatever form, to have **two sides of the one equal to two sides .of the other, each to each; and the** angle contained between those two sides in the one triangle to be equal to that which is contained... | |
| John Martin Frederick Wright - 1829 - 188 pagina’s
...have not been considered by Euclid. Of these seven combinations, six of them belong to the case of two **triangles, having two sides of the one equal to two. sides of the other, each to each, and** one angle to one angle, viz. those to which equal sides are opposite. This case will be fully discussed... | |
| James Hayward - 1829 - 172 pagina’s
...triangles would therefore be equal in all their parts. And we say universally, — When two triangles have **two sides of the one equal to two sides of the other, each to each, and the** angle contained by these two sides of the one, equal to the angle contained by the two sides of the... | |
| Euclid, Robert Simson - 1829 - 516 pagina’s
...has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. IF two triangles have **two sides of the one equal to two sides of the other, each to** eacji ; and have likewise the angles contained by those sides equal to one another, they shall likewise... | |
| Pierce Morton - 1830 - 272 pagina’s
...than D E. For, the radii А С, С В being equal to the radii DC, CE respectively, CAB and С DE are **triangles having two sides of the one equal to two sides of the other, each to each,** but the angle ЛСВ greater than D С E : therefore, the base AB (I. 11.) is likewise greater than... | |
| Francis Joseph Grund - 1830 - 255 pagina’s
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are **equal to two sides of the other, each to each, and the** angles which are included by them also equal to one another, what relation will these two triangles... | |
| Richard Wilson - 1831 - 330 pagina’s
...less than the circumference of a great circle, (art. 32.) 49. PROP. If two spherical 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, the two triangles shall be... | |
| John Playfair - 1832 - 333 pagina’s
...the given rectilineal angle DCE- Which was to be done. PROP. XXIV. THEOR. If two triangles have fwo **sides of the one equal to two sides of the other, each to each,** but the angle contained by the Iwvsidesof the one prettier limn the angle contained by the two sides... | |
| 1833
...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,** Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek Ixserega... | |
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