 | Euclides - 1846 - 292 pages
...the other angles of the one shall coincide with the other angles of the other, and be equal to them, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Wherefore, If two triangles &c. QED PROP. V. THEOR. The angles at the base of an isosceles triangle... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...equal to one another ; their bases shall be equal, and their areas shall be equal, and their other angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to one another ; and if the... | |
 | John Playfair - Euclid's Elements - 1847 - 340 pages
...and the other angles, to which the equal sides are opposite, shall be equal, each to each, ** _ C "E viz. the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF, so that the point A may be on D, and... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal... | |
 | Euclides - 1852 - 152 pages
...equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. [Cut a triangle of any kind, BAC, out of a piece of paper or cardboard,... | |
 | Euclides - Geometry - 1853 - 176 pages
...equal to one another, their bases shall likewise be equal, and the triangles be equal, and .their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. PROPOSITION V. — THEOREM. The angles at the base of an isosceles triangle... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. PROPOSITION V. THEOR. The angles at the base of an isosceles triangle... | |
 | Euclides - 1853 - 146 pages
...equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. M PROP. V. — THEOREM. The angles at the base of an isosceles Mangle... | |
 | Euclides - Geometry - 1853 - 334 pages
...that are equal to the same thing are equal to one another (Ax. i) : therefore the angle ABC is equal to the angle DEF, and the angle ACB to the angle DFE. Lastly, since the triangles ABC, DEF have been shewn to be equiangular to one another, they are similar... | |
 | Euclides - 1855 - 270 pages
...angles of the one coincide with the remaining angles of the other, and are therefore equal to them, each to each; viz., the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides, &c. QED The demonstration of this proposition might have... | |
| |
J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. 
