| 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,... | |
| Euclides - 1846
...the angle BAC is 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... | |
| 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 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,... | |
| 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 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... | |
| John Playfair - 1846 - 317 sider
...it is nor 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 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,... | |
| Anna Cabot Lowell - 1846 - 161 sider
...other, each to each. Dem. Let. angle B = E, and C = F, (fig. 142.) Since two angles of one triangle are **equal to two angles of the other, the third angle of the one** must be equal to the third angle of the other, (133.) Consequently all the angles of the one are equal... | |
| 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... | |
| 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 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
...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 - 1847 - 308 sider
...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,... | |
| |