| Walter Henry Burton - Astronomy - 1828 - 84 pages
...the 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... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...two straight 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** eacji ; and have likewise the angles contained by those sides equal to one another, they shall likewise... | |
| James Hayward - Geometry - 1829 - 218 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 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... | |
| 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... | |
| John Playfair - Geometry - 1829 - 186 pages
...less. Which was to be done. PROPOSITION IV. THEOREM. IF two triangles have two sides of one triangle **equal to two sides of the other, each to each; and have** also the angles contained by those aides equal to each other; their third sides will be equal; and... | |
| 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... | |
| 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 be equal. This proposition... | |
| John Playfair - Euclid's Elements - 1832 - 333 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... | |
| 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... | |
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