 | Robert Simson - 1827 - 546 σελίδες
...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 - 84 σελίδες
...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 - 206 σελίδες
...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 - 218 σελίδες
...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 - 548 σελίδες
...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 - 584 σελίδες
...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 - 274 σελίδες
...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 - 372 σελίδες
...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 - 358 σελίδες
...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 - 414 σελίδες
...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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If two triangles have two sides of the one equal to two sides of the... 
