| John Playfair - Trigonometry - 1819 - 333 pages
...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 of the** other, each to each, but the angle contained by the two sides of the one greater than the angle contained... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...part AE has been cut off equal to С the less. Which was to be done. Propotilion 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 ;... | |
| Euclid, Phillips - 1826 - 180 pages
...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, 8tc. a. KD PROPOSITION V. THEOREM.* The angles which are at the lose of isosceles triangles... | |
| 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
...BC; therefore 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... | |
| 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... | |
| 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... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...EDF, and the sides AB, AC to the sides DE.DF respectively. Therefore, &c. PROP. 15. If two spherical **triangles have two sides of the one equal to two sides of the** other, each to each, and have likewise their bases equal, the angle contained by the two sides of the... | |
| Richard Wilson - Trigonometry - 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 of the** other, each to each ; and have likewise the angles contained by those sides equal to one another, the... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...respectively, and also the angles between those sides equal to one another. Wherefore, universally, if two **triangles have two sides of the one, equal to two sides of the other respectively** ; &c. Which was to be demonstrated. PROPOSITION V. THEOREM. — In any isoskeles triangle, the angles... | |
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