| Euclides - 1842 - 316 pages
...AB, the greater of 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... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...from AB the greater of two straight lines, a part AE has been cut off equal to C the less. 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, their bases, or third... | |
| 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,... | |
| Education - 1844 - 688 pages
...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... | |
| 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,... | |
| Euclid - Geometry - 1845 - 218 pages
...to C ; and from the centre A, and at the distance AD describe f the circle DEF; 'S~B PROPOSITION 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 have... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...through A, to meet the circumference, a line would be obtained equal to C and AB together. PROP. IV. THEOREM. — If two triangles have two sides of the...one equal to two sides of the other, each to each ;* and have also the angles contained by those sides equal to one another: (1) they have likewise their... | |
| Euclides - 1845 - 546 pages
...no demonstration. Therefore upon the same base and on the same side of it, &c. QED PROPOSITION VIII. THEOREM. 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... | |
| 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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...from AB the greater of two straight lines, a part AE has been cut off equal to C the less. 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, their bases, or third... | |
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