| Euclid, James Thomson - Geometry - 1845 - 382 pages
...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... | |
| Euclid - Geometry - 1845 - 199 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 - 284 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,... | |
| Euclides - 1846 - 292 pages
...greater than the angle EDF. Wherefore, If two triangles fp. QET>. 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 sides which are... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 to two angles of the 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 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... | |
| Euclides - 1846 - 272 pages
...angle F, nor less than it, it will be greater. PROPOSITION XXVI. THEOREM. If two triangles (BAC, DEF) **have two angles of the one equal to two angles of the other** (B to D and C to F) ; and a side of one equal to a side of the other, that is, either the sides which... | |
| John Playfair - Euclid's Elements - 1846 - 332 pages
...GNK, and 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... | |
| Samuel Hunter Christie - 1847 - 172 pages
...the angle EBC : and the angle AEG is equal to the angle BEH (I. 15): 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: wherefore they have their other sides... | |
| Euclides - 1847 - 128 pages
...This Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — 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... | |
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