 | Euclides - Geometry - 1841 - 378 pages
...be equal to BC; and 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... | |
 | Euclides - 1842 - 316 pages
...в c ; and therefore also в c is greater than E F. Therefore, if two triangles, &c. QED PEOP. 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 also, contained by the sides... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...given straight line AB, 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... | |
 | 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, shall... | |
 | 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,...angles contained by those sides equal to one another, their bases, or third sides, shall be equal; and the areas of the triangles shall be equal; and their... | |
 | Education - 1844 - 688 pages
...parallel straight lines. When are segments of circles said to be similar ? 2. If two triangles hare two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal ; the angle contained by the two sides of the one shall be equal to the angle contained... | |
 | Euclid - Geometry - 1845 - 218 pages
...BC ; and therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PROPOSITION 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 also contained by the sides... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...equal to BC ; and therefore 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... | |
 | Perry Fairfax Nursey - Industrial arts - 1845 - 472 pages
...I shall 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
...the angle 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... | |
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If two triangles have two sides of the one equal to two sides of the... 
