 | Edward Tagart - 1837 - 156 σελίδες
...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... | |
 | Adrien Marie Legendre - 1838 - 382 σελίδες
...+ OC< BD + DC ; therefore, still more isBO + OC<BA + AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the...angle. Let BAC and EDF be two triangles, having the sideAB=DE, AC =DF, and the angle A>D;thenwillBC> EF. Make the angle CAGB =D; take AG=DE, and draw CG.... | |
 | Euclides - 1838 - 264 σελίδες
...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 - 1840 - 204 σελίδες
...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 - 1841 - 378 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | 1843 - 376 σελίδες
...+ OC< BD + DC ; therefore, still more isBO + OC<BA + AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the...BAC and EDF be two triangles, having the side AB=DE, AC =DF, and the angle A>D ; then will BC> EF. A 18 triangle GAC is equal to DEF, since, by construction,... | |
 | 1844 - 688 σελίδες
...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... | |
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If two triangles have two sides of the one equal to two sides of the... 
