 | Mathematics - 1836 - 488 pages
...lines which intersect one another, cannot be both parallel to the same straight line." PROP. IV. If two triangles have two sides of the one equal to two sides...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... | |
 | John Playfair - Geometry - 1836 - 148 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...angles contained by those sides equal to one another ; their bases shall likewise be equal, and the triangles be equal, and their other angles to which... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...two straight lines, a part AE has been cut off equal to C, the less. PROPOSITION IV. THEOREM. If two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another, thenbases, or third sides, shall be equal ; and the two triangles jshall be equal ; and their other... | |
 | John Playfair - Euclid's Elements - 1837 - 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...angles contained by those sides equal to one another ; their bases shall be equal, and their areas shall be equal, and their other angles, to which the... | |
 | Euclides - 1838 - 264 pages
...arc 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...angles contained by those sides equal to one another, tueir bases shall likewise be equal, and the triangles shall be equal, and their otLer angles to which... | |
 | Euclides - Geometry - 1841 - 378 pages
...are 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...angles contained by those sides equal to one another, their bases shall likewise be equal, and the triangles shall be equal, and their other angles, to which... | |
 | 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...angles contained by those sides equal to one another ; their bases shall be equal, and their areas shall be equal, and their other angles, to which the... | |
 | 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...angles contained by those sides equal to one another ; they shall likewise have their bases, or third sides, equal, and the two triangles 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...angles contained by those sides equal to one another; they shall likewise have their bases, or third sides, equal ; and the two triangles shall be equal... | |
 | 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,...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... | |
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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 their bases, or third sides, equal ; and the two triangles... 
