| 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
...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 - 349 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
...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
...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 - 119 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
...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... | |
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