| Charles Reiner - Geometry - 1837 - 254 pages
...what will necessarily be concluded with respect to their third sides or bases, ef and be? P.—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... | |
| 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... | |
| Euclides - 1838 - 264 pages
...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 bases shall likewise... | |
| Euclides - Geometry - 1841 - 378 pages
...another, and likewise those which are terminated in the other extremity. QED PROP. VIII. THEOR. If two **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 which is contained by the two sides of the one shall... | |
| John Playfair - Euclid's Elements - 1842 - 332 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 bases shall be equal,... | |
| 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,... | |
| Euclides - 1842 - 316 pages
...two straight lines, a part AE has been cut off equal to c, the less. QEF 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... | |
| 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... | |
| 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,... | |
| Euclid - Geometry - 1845 - 218 pages
...be 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, their bases shall likewise... | |
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