 | James Hayward - Geometry - 1829 - 218 pages
...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... | |
 | John Martin Frederick Wright - Euclid's Elements - 1829 - 206 pages
...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... | |
 | James Hayward - Geometry - 1829 - 228 pages
...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 otlicr, each to each, and the angle contained by these two sides of the one, equal to the angle contained... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...any other figure, curvilineal or otherwise, which has the same perimeter. PROP. 39. If two Mangles have two sides of the one equal to two sides of the other, eac/i to each, and the angle contained by the two sides of the first a right angle, but the... | |
 | Richard Wilson - Logarithms - 1831 - 372 pages
...polygon is 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... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...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... | |
 | Education - 1833 - 414 pages
...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, Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...reasoning, the like may be proved of all other triangles under the same conditions ; that is to say, which have two sides of the one equal to two sides of the other respectively, and also the angles between those sides equal to one another. Wherefore, universally,... | |
 | Euclid - 1835 - 540 pages
...AE 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 each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise... | |
 | Mathematics - 1835 - 684 pages
...another in each of the points С, Е. Join AC, AE, В С, BE. Then because the triangles AD С, ADE have two sides of the one equal to two sides of the other, and have also the included angles ADC, ADE equal to one another, the base А С (I. 4.) is equal... | |
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If two triangles have two sides of the one equal to two sides of the... 
