| Edward Atkins - 1877
...BC, adjacent to the equal 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
...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
...each, then shall the other sides be equal, each to each, and also the third angle of the one equal **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, each to each, namely, ABC to DEF, and... | |
| Edward Harri Mathews - 1879
...one side equal to one side, namely, the sides opposite to equal angles in each, the other sides shall **be equal, each to each, and the third angle of the one** equal to the third angle of the other. Prove that the point of intersection of the diagonals of a square,... | |
| Elias Loomis - Geometry - 1880 - 456 pages
...the included side of the other, each to each, the two triangles will be equal, the other sides mil **be equal each to each, and the third angle of the...other. Let ABC, DEF be two triangles having the angle** 13 equal to E, the angle C equal to F, and the included sides BC, EF equal to each other ; then will... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...common to the two triangles, 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... | |
| Euclid, F. B. Harvey - Geometry - 1880 - 119 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... | |
| Euclides - 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... | |
| John Gibson - 1881
...each, and the sides adjacent to the equal angles in each triangle equal, then the other sides shall **be equal each to each, and the third angle of the one** equal to the third angle of the other. 2. If a straight line falling on two other straight lines makes... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...one side equal to one side, 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... | |
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