 | Elias Loomis - Geometry - 1871 - 302 pages
...triangles, &c. PEOPOSIT1ON VII. THEOREM. If two triangles have two angles, and the included side of tf,i one, equal to two angles and the included side of...equal to F, and the included sides BC, EF equal to __ each other; then will the B CE triangle ABC be equal to the triangle DEF. For, if the triangle ABC... | |
 | Euclides - 1871 - 136 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. In &s ABC, DEF, Let L ABC= L DEF, and LACB= L DFE; and first, Let the sides adjacent to the equal L... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 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. In A s ABC, DEF, Let L ABC= L DEF, and L ACB= / DFE; and first, Let the sides adjacent to the equal... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...two angles BCD, CBD, each to each, and one side BC is common ; therefore their other sides shall also be equal, each to each, and the third angle of the one to the third angle of the other, viz., the side AT? to the side CD, and AC to BD, and the angle BAG equal to BDC : and because the angle... | |
 | Euclides - 1874 - 342 pages
...which is adjacent to their 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 (I. 26), namely, 3. The side AB is equal to the side CD, and AC to BD, and the angle BAC to the angle... | |
 | Euclides - 1874 - 120 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... | |
 | Edward Atkins - 1874 - 426 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 — .-. AB =_ namely, AB equal to CD, AC to BD, and the angle BAC to ED) ^BAC the angle CDB (I. 26).... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...which is adjacent to their 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, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And... | |
 | Edward Atkins - 1876 - 130 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 — .-. AB = namely, AB equal to CD, AC to BD, and the angle BAC to BD, ^BAC the angle CDB (I. 26).... | |
 | 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... | |
| |
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. 
