| Euclides - Geometry - 1841 - 351 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
...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 - 317 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
...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 - 317 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
...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 - 199 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 - 352 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
...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 ˇif the sides be a right angle, the anyle... | |
| Euclides - 1845
...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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