 | Euclides - 1842 - 316 pages
...in which the vertex of one triangle is upon a side of the other needs no demonstration. PROP. VIII. THEOR. 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... | |
 | 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, James Thomson - Geometry - 1845 - 382 pages
...and may be omitted, if the second method of demonstrating that proposition be adopted. PROP. VIII. THEOR. — 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: (I.) the angle which is contained by the two sides of the one... | |
 | 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... | |
 | 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...equal f to the angle FAG. Therefore, at the given point A in the given straight line AB, the angle FAG is made equal to 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,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...another, and likewise those which are terminated in the other extremity equal to one another. PROP. VIII. THEOR. 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...greater of two str. lines, a part AE has been cut off = C, the less. PROP. IV. THEOR. 4. 1 Eu. 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 like-wise... | |
| |
If two triangles have two sides of the one equal to two sides of the... 
