 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.  Pure mathematics - Page 94by Edward Atkins - 1874Full view - About this book
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...other angles of the one coincide with the other angles of the other, and are equal to them, namely, the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. T/te angles at the base of an isosceles... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...each to each ; viz., those to which the equal sides are opposite ; that is, the angle ABC is equal to the angle DEF, and the angle ACB to the angle DFE. For, if the triangle ABC be applied to the triangle D EF, BO thai the point A may be on the point D,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...other angles of the one coincide with the other angles of the other, and are equal to them, namely, the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION' 5. THEOREM. TJie angles at the base of an isosceles... | |
 | Stewart W. and co - 1884 - 272 pages
...the angle BAC equal to the angle EOF, the base BC shall be equal to the base EP; and the triangle ABC to the triangle DEF ; and the other angles to which...sides are opposite shall be equal, each to each, viz., ABC to DEF, and ACB to DFB. For, if the triangle ABC be applied to DEF, so that the point A may be... | |
 | Euclides - 1884 - 94 pages
...to the included angle Then shall the base be equal to the base ; and the triangle to the triangle ; and the other angles to which the equal sides are...opposite shall be equal, each to each, viz., the angle to the angle , and the angle to the angle N For, if the triangle be applied to the triangle , so that... | |
 | Mathematical association - 1884 - 146 pages
...is equal to the angle EOF, therefore the triangles are identically equal, I. 5. the angle ABC equal to the angle DEF, and the angle ACB to the angle DFE. QED Ex. 25. If the opposite sides of a quadrilateral are equal, shew that the opposite angles are also... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...DEF, and the other angles shall be equal, each to each, to which the equal sides are opposite, namely the angle ABC to the angle DEF, and the angle ACB to the angle DFE. For if the triangle ABC be applied to the triangle DEF, so that the point A may be on the point D,... | |
 | Euclid - Geometry - 1892 - 460 pages
...and the remaining angles shall be equal, each to each, to which the equal sides are opposite, namely the angle ABC to the angle DEF, and the angle ACB to the angle DFE. For if the triangle ABC be applied to the triangle DEF, so that the point A may be on the point D,... | |
 | Seymour Eaton - 1899 - 362 pages
...the one coincide with the remaining angles of the other, and are, therefore, equal to them, namely, the angle ABC to the angle DEF, and the angle ACB to the angle DFE. QUESTIONS AND EXERCISES NOTE. — Proposition 4 is of great importance, and the beginner should not... | |
| |
