 | Elias Loomis - 1877 - 458 pàgines
...the whole triangle DEF, and will be equal to it, and the remaining angles of the one will coincide with the remaining angles of the other, and be equal...ACB to the angle DFE. Therefore, if two triangles, etc. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of the one equal... | |
 | Edward Atkins - 1877 - 72 pàgines
...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 DFE. PROOF. — For if the triangle ABC be applied to (or placed Suppose upon) the triangle DEF, ' Autu°on... | |
 | Euclides - 1877 - 58 pàgines
...the triangle DEF, and the other angles, 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. A Demonstration. Let the triangle ABC be applied to the triangle DEF, so that the point A may be upon... | |
 | Āryabhaṭa - 1878 - 100 pàgines
...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. Wherefore if two triangles have two sides of the one &c. QED Paot. IV. THEOEEM. (Prop. 5 and 6 : IE)... | |
 | Moffatt and Paige - 1879 - 428 pàgines
...; and the other angles to which the equal sides are opposite shall be equal, each to each, namely, the angle ABC to the angle DEF, and the angle ACB to the angle DF E. For, if the triangle ABC be applied to the triangle DEF, so that the point A may be on D, and... | |
 | Isaac Todhunter - 1880 - 426 pàgines
...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,... | |
 | Euclides - 1881 - 236 pàgines
...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 - 1883 - 428 pàgines
...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... | |
 | Euclides - 1884 - 94 pàgines
...remaining angles of the other, and are equal to them, viz., the angle to the angle , and the angle to Therefore, if two triangles have two sides of the one equal to two sides, &c. RELFE BROTHERS' EUCLID SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM... | |
 | Stewart W. and co - 1884 - 272 pàgines
...coincide with the whole triangle DEF, and be equal to it ; and tho 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... | |
| |
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. 
