| Euclides - 1853
...the right angle BED is equal (Ax. 11.) to the right angle BFD; therefore the two triangles EBD, 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... | |
| Euclides - 1853 - 147 páginas
...it ; therefore the angle baС i« greater than the angle edf. Wherefore, if two triangles, &e. QED **PROPOSITION XXVI. — THEOREM. If two triangles have two angles of the one equal to two** angtee of the other, each to each, and one side equal to one side, viz. either the sides adjacent to... | |
| Royal Military Academy, Woolwich - 1853
...the right angle BED is equal to the right angle BFD ; the two triangles EUCLID 8 ELEMENTS. 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... | |
| Popular educator - 1852
...Therefore, if two triangles, &c. QED Scholium. The enunciation of this proposition may be thu» simplified : **If two triangles have two angles of the one, equal to two angles of the other, each to each, and** u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Thomas Lund - 1854 - 192 páginas
...CoR. Hence, also, the difference between any two sides is less than the third side. 39. PROP. XVII. **If two triangles have two angles of the one equal to two angles of the other, each to each, and** likewise the side which is common to those angles in the one equal to the side which is common to the... | |
| Charles Davies - 1854 - 432 páginas
...consequently, the two equiangular triangles BAC, CED, are similar figures. Cor. Two triangles which **have two angles of the one equal to two angles of the other,** are similar ; for, the third angles are then equal, and the two triangles are equian gular (BI, p.... | |
| Euclides - 1855
...EDF. Therefore, if two triangles, &c. QED The enunciation of this proposition may be thus simplif'ed: **If two triangles have two angles of the one, equal to two angles of the other, each to each, and** a side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Euclides - 1855
...the angle EBC (4): and 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, and** the sides AE, EB, adjacent to the equal angles, equal to one another; wherefore they have their other... | |
| Robert Potts - 1855
...drawn to intersect one another, the greater segments will be equal to the sides of the pentagon. 3. **If two triangles have two angles of the one equal to two angles of the other,** and one side equal to one side, viz. either the sides adjacent to the equal angles in each, or the... | |
| John Playfair - 1855 - 318 páginas
...it is not equal to it: therefore the angle BAC is greater than the angle EDF. PROP. XXVI. THLOR. Jf **two triangles have two angles of the one equal to two angles of the** otIirr, each to each; and one side equal to one side, viz. either the sides adjacent to the equal anglrs,... | |
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