...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...

...from the other side of the hedge ; and listening, he could hear the words " angle," " triangle," " two sides of the one equal to two sides of the other," and A, B, C, mingled with words and sentences. St. Andrew's, where he had disciplined, flashed upon his...

...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 ;...

...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...

...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...

...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...

...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...

...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...

...from the other side of the hedge ; and listening, he could hear the words " angle," " triangle," " two sides of the one equal to two sides of the other," and A, B, C, mingled with words and sentences. St. Andrew's, where he had disciplined, flashed upon his...

...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...