| 1842
...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
...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
...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... | |
| John Playfair - 1842 - 317 pagina’s
...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... | |
| James Thomson - 1845 - 358 pagina’s
...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, each to each, and** the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore (I.... | |
| Robert Potts - 1845
...the right angle BED is equal to the right angle BFD ; (ax. 11.) 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... | |
| Euclid - 1845 - 199 pagina’s
...and that the right angle B pct Comtr. 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... | |
| 1845
...1), and the side BC is = the side BA, being sides of an equilateral triangle ; .-. the Д» CBD, ABE, **have two angles of the one equal to two angles of the other,** and a side lying between these equal angles also equal ; .-• these triangles are equal in every respect,... | |
| 1846
...proved Z. BAC ;£ L EDF, .'. L BAC > L EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. **If two triangles have two angles of the one, equal...other, each to each, and one side equal to one side** ; viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each... | |
| 1846
...proved Z BAG -^ Z EDF, .-. Z BAC > Z EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. **If two triangles have two angles of the one, equal...other, each to each, and one side equal to one side** ; viz. either shall the other sides be equal, each to each, and also the third angle of the one, equal... | |
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