| Peter Nicholson - Mathematics - 1825 - 1046 pages
...BC; and therefore also BC is 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... | |
| Euclides - 1826 - 226 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, &c. QED PROPOSITION V. THEOREM.* The angles which are at the base of isosceles triangles are... | |
| Euclid - 1826 - 234 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... | |
| 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
...another, and 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... | |
| 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 - 548 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 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... | |
| 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... | |
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