 | Thomas Kerigan - Nautical astronomy - 1838 - 804 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
...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 - 526 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 - 538 pages
...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 - 316 pages
...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, GMN have two angles of the one equal to two angles of the other, and they have also the side GM common, therefore they are equal (26.1.), and the side KM is equal to... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...&c. are all equal. Hence (I. 6) CH is equal to HD, DK to KE, &c. Also, in the triangles CHD, DK_E, there are two angles of the one equal to two angles of the other, each to each, and (hyp.) the sides CD, DE are equal : therefore (I. 26) the sides CH, HD are equal to DK, KE, each to... | |
 | Euclides - 1845 - 546 pages
...the angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. 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 in each, or the sides... | |
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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. 
