| A. Bell - Conic sections - 1837 - 180 pages
...Def. 7)i and therefore the angles AFG, AEG, are also equal. The triangles AGE, AGF, have therefore **two angles of the one equal to two angles of the other,** and they have also the side AG common ; wherefore they are equal, and the side AF is equal to the side... | |
| Euclides - 1838 - 264 pages
...ij greater than the angle EDF. Wherefore, if two triangles, &c. Q. t, n. PROP. XXVI. THEOR. °V'.' **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, vis. either the sides adjacent to the equal angles, or the sides opposite... | |
| Robert Simson - Geometry - 1838 - 434 pages
...bisected by BD, 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... | |
| Thomas Kerigan - Nautical astronomy - 1838
...the angle BCD, by the aforesaid proposition. And because the two triangles ADF and BCF have, thus, **two angles of the one equal to two angles of the other,** viz., the angle FAD to the angle FB C, and the angle AD F to the angle BCF; and the side AF of the... | |
| Euclides - 1841 - 378 pages
...the angle BAC is greater than the angle EDF. Wherefore, if two triangles, &c. UED PROP. XXVI. THEOR. **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, or the sides opposite... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...proposition gives still further information on this useful subject. It shows that if two triangle* **have two angles of the one equal to two angles of the other, each to each, and** one side equal to one aide, namely, either the sides adjacent to the equal angles, or the sides opposite... | |
| Encyclopedias and dictionaries - 1842 - 524 pages
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which **have two angles of the one equal to two angles of the other, each to each,** have the third angles equal, and all the sides of one in the same proportion to the corresponding sides... | |
| Encyclopedias and dictionaries - 1842 - 530 pages
...course) alone are • enough to determine its form : or, as Euclid would express it, two triangles which **have two angles of the one equal to two angles of the other, each to each,** have the third angles equal, and all the sides of one in the same proportion to • the corresponding... | |
| 1842 - 524 pages
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which **have two angles of the one equal to two angles of the other, each to each,** have the third angles equal, and all the sides of one in the same proportion to the corresponding sides... | |
| Euclides - 1842 - 320 pages
...bisected by BD, 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... | |
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