 | Euclides - 1865 - 402 σελίδες
...coincide with the whole triangle 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, vir.: the angle ABC to the angle DSF, and the angle ACB to the angle DFE. Therefore, if two triangles... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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... | |
 | Robert Potts - 1868 - 434 σελίδες
...also the remaining angles of one triangle coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle A CB to DFE. Therefore, if two triangles have two sides of the one equal to two sides, &c. Which was... | |
 | Elias Loomis - 1871 - 302 σελίδες
...DEF, and will be equal to it and the remaining angles of the one, will coincide with the -emaining angles of the other, and be equal to them, viz. :...angle ABC to the angle DEF, and the angle ACB to the ang'e DFE. Therefore, if two triangles, &c. PEOPOSIT1ON VII. THEOREM. If two triangles have two angles,... | |
 | Henry William Watson - 1872 - 326 σελίδες
...angle opposite to the other side GD is obtuse in the one of these triangles and acute in the other, therefore If two triangles have two sides of the one equal to the two sides of the other, each to each, and the angle opposite to one of these sides of the one equal... | |
 | Henry Major - 1873 - 588 σελίδες
...coincide with the whole triangle 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., ABC to DEF, and ACB to DFE. V. — The angles at the 'base of an isosceles triangle are equal to one... | |
 | Euclides - 1874 - 120 σελίδες
...B 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. QQ For if the triangle ABC be applied to the * i- *3 • triangle DEP, so that the point A may be on... | |
 | Euclides - 1874 - 342 σελίδες
...and (3) the other angles to which the equal sides are opposite shall be equal, each to each — via., the angle ABC to the angle DEF, and the angle ACB to DFE. * An abbreviation for quod erat faciendum — that is, " which was to be done." Demonstration.... | |
 | Robert Potts - 1876 - 446 σελίδες
...also the remaining angles of one triangle coincide with the remaining angles of the other, and 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 (ides, &c. Which was to be... | |
 | Edward Atkins - 1876 - 130 σελίδες
...be done," And the otter angles to 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 the angle DEE. PROOF. — For if the triangle ABC be applied to (or placed Suppose upon) the triangle DEF, "... | |
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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. 
