| 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 discussed... | |
| James Hayward - Geometry - 1829 - 228 pages
...the two 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
...to, or greater than, or Jess than a semicircumference. 190 VI. $ 2.] 191 PROP. 13. If two spherical triangles have two sides of the one equal to two sides of the other, fach to each, and likewise the included angles equal ; their other angles shall be equal, each... | |
| Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...two right-angular triangles are equal. 94 GEOMETRY. 21. If in two triangles two sides of the one are equal to two sides of the other, each to each, but the angle included by the two sides in one triangle is greater than the angle included by the two sides in the... | |
| Richard Wilson - Logarithms - 1831 - 372 pages
...spherical 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 shall... | |
| 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 sides of the other; the base of that... | |
| 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 Ixserega... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...conditions. Wherefore, universally, if two triangles have two sides &c. Which was to be demonstrated. THEOREM. — If two triangles have two sides of the one, equal to two sides of the other respectively, but the third side of the one is greater than the third side of the other ; the... | |
| Francis Joseph Grund - Geometry, Plane - 1834 - 204 pages
...to each, the two rightangled triangles are equal. 20. If in two triangles two sides of the one are equal to two sides of the other, each to each, but the angle included by the two sides in one triangle, is greater than the angle included by them in the other,... | |
| Euclid - 1835 - 540 pages
...straight c 1. Ax. lines, a part 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... | |
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