| Charles Reiner - 1837 - 254 páginas
...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 - 1837 - 156 páginas
...the angles in 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 páginas
...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 - 1841 - 378 páginas
...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... | |
| Chambers W. and R., ltd - 1842 - 744 páginas
...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 páginas
...one triangle is upon a side of the other needs no demonstration. 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 - 1842 - 332 páginas
...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... | |
| 1844 - 688 páginas
...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... | |
| Perry Fairfax Nursey - 1845 - 472 páginas
...conclude (for the present), Mr. Editor, by proposing the following proposition : — If two triangles have two sides of the one equal to two sides of the other, each to each, and also their areas equal, and if the anyle contained by two ¡if the sides be a right angle, the... | |
| Euclid - 1845 - 218 páginas
...the given rectilineal angle DCE. Which was to be done. PROPOSITION XXIV. THEOB. — 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... | |
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