 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
 | Euclid, Rupert Deakin - Geometry - 1903 - 218 pages
...EF, the triangle^ BC shall be equal to the triangle O£ Fin area, and the angle ABC shall be equal to the angle DEF, and the angle ACB to the angle DFE. JProof.— Let the triangle ABC be applied to the triangle DEF, so that the point A is placed on the... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...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 - Mathematics, Greek - 1908 - 456 pages
...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 - Geometry, Non-Euclidean - 1993 - 320 pages
...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... | |
 | Euclid - 454 pages
...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... | |
 | Popular educator - 1860 - 424 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 А с в to the angle DF в. QED This proposition holds equally true, when the angles contained by... | |
 | Euclid - 452 pages
...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... | |
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