 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...greater than EF. llierefore, if two triangles, Sic. QED Proposition XXV. Theorem. ' 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 also contained by the sides... | |
 | Euclid - 1826 - 234 pages
...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 - 226 pages
...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... | |
 | John Martin F. Wright - 1827 - 632 pages
...Paper below. TUESDAY EVENING. MR. PEACOCK. 1. IF two spherical triangles have two sides of one triangle equal to two sides of the other, each to each, and the included angles equal, the tri angles arc equal in every respect. 2. The modulus of tabular logarithms or M = '43429448... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...likewise those which are terminated in the other extremity. QE J). PROP. VIII. TIIEOR. If two triangles have two sides of the one equal to two sides of the of her, each, to each, and have likewise their bases equal ; the angle which is contained by the two... | |
 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...-— ' 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides will...has the greater included angle. Let BAC and EDF be the two triangleSj having the side AB= DE,AC=DF,andthe angle A 7 D; then will BC7EF. Make the angleCAG... | |
 | 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... | |
 | James Hayward - Geometry - 1829 - 218 pages
...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 the... | |
 | 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... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...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... | |
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If two triangles have two sides of the one equal to two sides of the... 
