| Euclides - 1841 - 378 pàgines
...equal to one another, and likewise those which are terminated in the other extremity. QED 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... | |
| John Playfair - 1842 - 332 pàgines
...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... | |
| Euclides - 1842 - 316 pàgines
...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 pàgines
...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,... | |
| 1844 - 688 pàgines
...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... | |
| Euclid, James Thomson - 1845 - 382 pàgines
...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... | |
| Euclides - 1845 - 546 pàgines
...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 - 1845 - 218 pàgines
...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... | |
| Perry Fairfax Nursey - 1845 - 472 pàgines
...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 - 1846 - 334 pàgines
...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... | |
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