| Edward Tagart - Logic - 1837 - 156 pages
...question within a certain class, viz. the class of angles subtended by equal bases, in triangles which **have two sides of the one equal to two sides of the** other, of which equality is demonstrated ia the fourth proposition : and let us remember that every... | |
| Robert Simson - Geometry - 1838 - 434 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 each ; and** have likewise the angles contained by those sides equal to one another, they shall likewise have their... | |
| Euclides - 1838 - 264 pages
...sufficiently long for this. It must of course be produced. PROP. XXIV. THEOR. If two triangles haee **two sides of the one equal to two sides of the other, each to each,** but the angle contained by the two sides of one of them greater than the angle contained ky the two... | |
| Olinthus Gregory - Euclid's Elements - 1840 - 204 pages
...the two triangles ABC, and ACB, AB is equal to AC, and AC to AB ; therefore, two sides of the one are **equal to two sides of the other, each to each ; and the** angle BAC is equal to the angle CAB, being in fact one and the same angle ; wherefore, by prop. 4,... | |
| Euclides - Geometry - 1841 - 378 pages
...and 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 by the sides of that... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...the comparison of triangles. This important theorem, as stated by Euclid, is aa follows :— If two **triangles have two sides of the one equal to two sides of the other, each to each, and** have Uk«win the angles contained by those sides equal to one another, their bases, or third sides,... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...line AB, the angle FAG is made equal to the given rectilineal angle DCE. 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 by the two sides... | |
| Euclides - 1842 - 316 pages
...de to the straight line/g' ; therefore (8. 1.) the angle dee is equal to 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 one of them greater than the angle contained by the two... | |
| Education - 1844 - 688 pages
...A. 1. What is a plane rectilineal angle ? When is a straight line said to touch a circle ? 2. 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; they shall likewise have their... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...straight lines, a part AE has been cut off equal to C the less. PROP. IV. THEOREM. If two triangles haw **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, their bases, or third sides,... | |
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