| Euclides - 1826
...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two **triangles have two sides of the one equal to two sides of the** other, &c. QED PROPOSITION V. THEOREM.* The angles which are at the base of isosceles triangles are... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...AB, the angle FAG is made equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. **THEOR. If two triangles have two sides of the one equal to two sides** See N. of the other, each to each, but the angle contained by the two sides of one of them greater... | |
| Walter Henry Burton - Astronomy - 1828 - 68 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... | |
| James Hayward - Geometry - 1829 - 172 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 - 188 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... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...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 - 1829
...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 - 272 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 - 330 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...angles contained by those sides equal to one another,** the two triangles shall be equal. This proposition is proved by precisely the same reasoning as is... | |
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