| Euclides - 1846
...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... | |
| Euclides - 1846
...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 - 1846 - 317 pagina’s
...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... | |
| Euclides - 1847
...sides &e. — QED This Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — **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,... | |
| Samuel Hunter Christie - 1847
...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... | |
| George Roberts Perkins - 1847 - 308 pagina’s
...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,... | |
| Euclides - 1849
...angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOB. If two triangles have two angles of **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 to equal angles in each ;... | |
| George Roberts Perkins - 1850 - 320 pagina’s
...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,... | |
| ...lines which can be drawn to the four angles from any point, except the intersection of the diagonals. **3. If two triangles have two angles of the one equal to two angles of the** otner, each to each, and one side equal to one side, viz., the sides opposite to equal angles in each,... | |
| ...opposite sides of 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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