 | Edward Atkins - 1877 - 72 pages
...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 - 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
...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 - 94 pages
...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 - 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 - 426 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... | |
 | 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... | |
 | 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... | |
 | John Gibson - 1881 - 64 pages
...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 - 152 pages
...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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BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. 
