| Mathematics - 1836 - 488 pages
...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 the other,** each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles,... | |
| Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...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, James Thomson - Geometry - 1837 - 410 pages
...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... | |
| William Whewell - 1837 - 226 pages
...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,... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...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... | |
| 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
...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,... | |
| Thomas Kerigan - Nautical astronomy - 1838 - 846 pages
...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 - Geometry - 1841 - 378 pages
...* 15. 1. angle EBC: and the angle AEG is equal* to the angle BEH; 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: therefore their... | |
| 1842 - 524 pages
...triangle (any two, of 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... | |
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