| Euclides - 1837
...angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION XXIV. Theorem. If two **triangles have two sides of the one equal to two sides of the** other, each to each, but the angle contained by two sides of one of them greater than the angle contained... | |
| C. Reiner - Geometry - 1837 - 215 pages
...when three sides of the one are equal to three sides of the other, each to each. 5. Again : 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... | |
| Edward Tagart - Logic - 1837 - 135 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... | |
| Euclides - 1838
...arc equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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, tueir... | |
| Euclides - 1841
...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... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...to them, viz. the angle ABC to the angle DEF, 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, each to each, and have likewise the angles contained by those sides equal to one another ; their... | |
| Euclides - 1842
...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... | |
| Chambers W. and R., ltd - 1842
...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... | |
| Education - 1844
...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... | |
| James Thomson - Geometry - 1845 - 358 pages
...angle A is made, equal to the given angle C : 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 angles contained by those sides unequal : the base of that which has the... | |
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