 | Charles Reiner - 1837 - 246 pàgines
...with one instance of the equality of triangles ; what is it ? P. — Two triangles are equal when they 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. M. — Now, I think, from what you have... | |
 | Charles Reiner - 1837 - 254 pàgines
...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 - 1837 - 156 pàgines
...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 - 1838 - 434 pàgines
...is made equal to the given rectilineal angle JDCE. Which was to be done. PROP. XXIV. THEOR. IF two triangles have two sides of the one equal to two sides...each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base... | |
 | Euclides - 1838 - 264 pàgines
...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 - 1841 - 378 pàgines
...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... | |
 | Euclides - 1842 - 316 pàgines
...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... | |
 | Chambers W. and R., ltd - 1842 - 744 pàgines
...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 - 1842 - 332 pàgines
...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,... | |
 | 1844 - 688 pàgines
...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... | |
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IF two triangles have two sides of the one equal to two sides of the... 
