| Encyclopedias and dictionaries - 1842 - 538 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... | |
| John Playfair - Euclid's Elements - 1842 - 332 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... | |
| 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... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...it is not equal to it : therefore the angle BAC is greater than the angle EDF. B PROP. XXVI. THEOR. **If two triangles have two angles of the one equal...other, each to each; and one side equal to one side,** via. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each... | |
| Euclides - 1845 - 544 pages
...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, James Thomson - Geometry - 1845 - 380 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, each to each, and** the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore (I.... | |
| Euclid - Geometry - 1845 - 218 pages
...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... | |
| Scottish school-book assoc - 1845 - 278 pages
...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,... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...EF, Hyp. which is not true ; .-. Z BAC<Z EDF; and it has been proved Z BAG -^ Z EDF, .-. Z BAC > Z **EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR....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 to the third... | |
| Euclides - 1846 - 292 pages
...bisected by BD), and that the right angle DEB is equal to the right angle DFB, the two triangles DEB, DFB **have two angles of the one equal to two angles of the other, each to each, and** the side DB, which is opposite to one of the equal angles in each, common to both — therefore their... | |
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