| Euclides - 1853 - 147 sider
...Ь d, and that 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 their... | |
| Euclides - 1853
...than the angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOREM. If two trianglet 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, or... | |
| Charles Davies - 1854 - 432 sider
...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.... | |
| Popular educator - 1852
...&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... | |
| Thomas Lund - 1854 - 192 sider
...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... | |
| Robert Potts - 1855
...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 sides... | |
| Euclides - 1855
...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... | |
| Euclides - 1855
...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... | |
| Euclides - 1856
...and the angle ABE is equal to the angle ABC (being both right angles), the triangles ABC, ABE have **two angles of the one equal to two angles of the other, and** the side AB common to the two. Therefore the triangles ABC, ABE are equal, and the side AE is equal... | |
| Peter Nicholson - 1856 - 216 sider
...to CD, the alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, have **two angles of the one equal to two angles of the other,** each to each ; and the side FG, adjacent to the equal angles, common ; the triangles are therefore... | |
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