| Eucleides - 1860 - 396 σελίδες
...the angle AEG is equal to the angle BEH (a) ; therefore the triangles AEG, BEH have two angles of the one, equal to two angles of the other, each to each,...equal angles, equal to one another ; wherefore they have their other sides equal (c) ; therefore GE is equal to EH, and AGto BH : and because AE is equal... | |
| Euclides - 1860 - 288 σελίδες
...right angle FCK is equal to the right angle FCL ; therefore in the two triangles FKC, FLC, there are two angles of one equal to two angles of the other, each to each ; and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore the remaining... | |
| Horatio Nelson Robinson - 1860 - 470 σελίδες
...we have the remaining [_'s, AFC and AEB, equal. Hence, the A's, AFC and AEB, have two angles of the one equal to two angles of the other, each to each, and the included sides equal; the remaining sides and angles are therefore equal, (Cor., Prop. 9). Therefore,... | |
| Robert Potts - 1860 - 380 σελίδες
...Wherefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz, either the sides adjacent to the equal angles in each, or the sides... | |
| Royal college of surgeons of England - 1860 - 332 σελίδες
...other, then the sides AB, BC shall lie in one straight line. 3. If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz., the sides adjacent to the equal angles in each triangle ; then shall... | |
| War office - 1861 - 714 σελίδες
...another, the sides also which subtend the equal angles shall be equal to one another. 2. If two triangles have two angles of one equal to two angles of the other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles, or the sides opposite... | |
| Euclides - 1862 - 172 σελίδες
...to the angle CFD ; (m. 27) and BFC is double of the angle KFC, and CFD double of CFL ; 145 there are two angles of one equal to two angles of the other, each to each, and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore the other sides... | |
| Euclides - 1862 - 140 σελίδες
...Therefore, if two triangles, &c. QED PROPOSITION 26.— THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side; namely, either the side adjacent to the equal angles in sach, or the aide... | |
| University of Oxford - 1863 - 316 σελίδες
...plane superficies. Write out Euclid's three postulates. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles also equal, then shall the other sides be equal, each to each ; and also... | |
| Euclides - 1863 - 122 σελίδες
...(I. Ax. 11) to the right angle BFD. Therefore the two triangles E BD and FBD have two angles of the one equal to two angles of the other, each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to both. Therefore their other... | |
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