| Euclid - 1835 - 513 pagina’s
...by BD, and because the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD **have two angles of the one equal to two angles of the other,** and the side BD, which is opposite to one of the equal angles in each, is common to both; therefore... | |
| Euclid, Robert Simson - 1835 - 513 pagina’s
...equal to KCF, and the right angle FHC equal to the right angle FKC; in the triangles FHC, FKC there are **two angles of the one equal to two angles of the other,** and the side FC, which is opposite to one of the equal angles in each, is common to both : therefore... | |
| 1836 - 472 pagina’s
...greater base, shall be greater than the angle contained by the sides of the other. XXVI. If two triangles **have two angles of the one equal to two angles of...adjacent to the equal angles, or the sides opposite to** the equal angles in each; then shall the other sides be equal, each to each ; and also the third angle... | |
| John Playfair - 1836 - 114 pagina’s
...bisected by BD, and that the right angle BED is equal to the right angle BFD, the two Iriangles EBD, FBD **have two angles of the one equal to two angles of the other,** and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| Euclides - 1837
...be > Z EOF. PROPOSITION XXVI. (Argument ad absurdum). Theorem. If two triangles have two angles of **one equal to two angles of the other, each to each,...either the sides adjacent to the equal angles, or** opposite to the equal angles in each : then shall the other sides be equal, A, each to each; and also... | |
| Charles Reiner - 1837
...each to each, the point d coincides with the vertex a. » 9. Hence, two triangles are equal when they **have two angles of the one equal to two angles of the other, each to each, and** have likewise the sides adjacent to the equal angles equal to each other. M.—And, if the angles bdc... | |
| C. Reiner - 1837 - 215 pagina’s
...angles of the one is equal to the sum of the remaining two angles of the other. 2. If two triangles **have two angles of the one equal to two angles of the other, each to each,** the third angle of the one is equal to the third angle of the other ; that is, the triangles are equiangular.... | |
| Andrew Bell - 1837 - 240 pagina’s
...by BD ; and because the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD, **have two angles of the one equal to two angles of the other** ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| William Whewell - 1837
...therefore MLN is equal to LKH; and the angles at H and at N are right angles. Therefore the triangles **have two angles of the one equal to two angles of the other** ; and the side KL is equal to LM. Therefore the triangles are equal, and HL is equal to MN; that is,... | |
| Euclid - 1837 - 390 pagina’s
...is equal (const.) to FBD, and that the right angles BED, BFD are equal, the two triangles EBD, FBD **have two angles of the one equal to two angles of the other,** and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
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