 | 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,... | |
 | Euclides - 1842 - 316 pages
...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
...to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, 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 shall be equal,... | |
 | 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,... | |
 | Euclides - 1845 - 546 pages
...part AE has been cut off equal to C the less. Which was to be done. 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 each other; they shall likewise have... | |
 | 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 - Geometry - 1845 - 218 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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 shall likewise... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, 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 shall be equal,... | |
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If two triangles have two sides of the one equal to two sides of the... 
