| Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 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,... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| George Roberts Perkins - Geometry - 1847 - 326 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having **two angles of the one equal to two angles of the other,** have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,... | |
| George Roberts Perkins - Geometry - 1850 - 332 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having **two angles of the one equal to two angles of the other,** have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,... | |
| 582 pages
...parallelograms are equal." State and prove the onverse of this proposition. ,"*• *i two triangles **have two angles of the one equal to two angles of the** ". eaoh to each, and one side equal to one side: namely, the side opposite , k? eo,ual angles in each... | |
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