 | Elias Loomis - Conic sections - 1877 - 458 pages
...equal angles common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other (Pr. 7), viz., the side AB to the side CD, and AD to BC, and the angle BAD equal to the angle BCD.... | |
 | Edward Atkins - 1877 - 72 pages
...angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — namely, AB equal to CD, AC to BD, aud the angle BAC to the angle CDB (I. 26). And because the angle... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...sides opposite to equal angles in each; then shall the other sides be equal, each to each ; and also the. third angle of the one to the third angle of the other. Let L ABC = L DEF, and L ACB = L DFE; and first, Let the sides adjacent to the equal L s in each be equal,... | |
 | Moffatt and Paige - 1879 - 428 pages
...that which has the greater base shall be greater than the angle contained by the sides, equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF each to each, namely, AB to DE, and AC to DF, but the... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...two sides shall be equal, each to each, and also the third angle of the one triangle shall be equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC and ACB in the former = the angles DBF and DFE in the latter, each to each ; and let the side adjacent... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...which is adjacent to their equal angles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, namely, the side AB equal to the side CD, and the side AC equal to the side BD, and the angle BAC equal... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...the sides opposite to equal angles in each fttten their other sides are equal, each to each, and also the third angle of the one to the third angle of the...other. Let ABC, DEF be two triangles which have the two angles AjSC, BCA of the one, equal to the two angles DEF, EFD of the other, each to each; viz.,... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. If two sides of a triangle be produced, the lines which bisect the two exterior angles and the third... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...viz., sides opposite to equal angles in each, the remaining sides shall be equal each to each, and the third angle of the one to the third angle of the other. 5. Divide a given straight line into two parts such that the rectangle contained by the whole and one... | |
 | Moffatt and Paige - 1883 - 576 pages
...each, then shall the other sides be equal, each to each, and also the third angle oft/te one equal to the third angle of the other. Let ABC, DEF be- two triangles which have the angles AB C, BCA equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and BCA to EFD, and also... | |
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... then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. 
