 | Mathematical association - 1884 - 146 sider
...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... | |
 | Association for the Improvement of Geometrical Teaching - 1888 - 208 sider
...DB'C' is equal to the angle DEF, and the angle DC'B' to the angle DFE, that is the angle ABC is equal to the angle DEF, and the angle ACB to the angle DFE. Thus the triangles ABC, DEF are equiangular, and therefore by Theor. 2 are similar. QED Ex. 5. If the... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...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 - 1892 - 460 sider
...of 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. That is, the triangles are equal in all respects. QEI>. NOTE. It follows that two triangles which are... | |
 | Seymour Eaton - 1899 - 362 sider
...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... | |
 | Euclid - 1908 - 550 sider
...equal to the remaining angles respectively, namely those which the equal sides subtend, that 15 is, 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, and if the point A be placed 20 on the point... | |
 | Euclid - 1908 - 456 sider
...I say that the triangle ABC is equiangular with the triangle DEF, and will have the angle ABC equal to the angle DEF, and the angle ACB to the angle DFE. For on the straight line DF, and at the points D, F on it, let there be constructed the angle FDG equal... | |
 | Saul Stahl - 1993 - 320 sider
...will be equal to the remaining angles respectively, namely those which equal sides subtend, that is, 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 DBF, and if the point A be placed on the point D... | |
 | Michael N. Fried - 2001 - 516 sider
...it. And the remaining angles will also coincide with the remaining angles and will be equal to them, the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Elem.lll.24, which states that "Similar segments of circles'7 on equal straight lines are equal to... | |
 | Euclid - 454 sider
...equal to the remaining angles respectively, namely those which the equal sides subtend, that 15 is, 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, and if the point A be placed 20 on the point... | |
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DEF, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. 
