 | Euclides - Geometry - 1841 - 378 pages
...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 pages
...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
...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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... | |
 | Education - 1844 - 688 pages
...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... | |
 | 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,... | |
 | Perry Fairfax Nursey - Industrial arts - 1845 - 472 pages
...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 anyle... | |
 | Euclides - 1845 - 546 pages
...FAG is made equal to the given rectilineal angle DCE. QEF 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 the two sides of one of them greater than the angle contained by the two... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...also BC is greater than EF. Therefore, if two triangles, &c. PROP. XXV. THEOR. — If two triangles have two sides of the one equal to two sides of the other, each to each, but their bases unequal ; the angle contained by the sides of that which has the greater base, is greater... | |
 | Euclid - Geometry - 1845 - 218 pages
...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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If two triangles have two sides of the one equal to two sides of the... 
