| Euclides - Geometry - 1853 - 147 pages
...iĞ greater than the angle edf. Wherefore, if two triangles, &e. QED PROPOSITION XXVI. — THEOREM. **If two triangles have two angles of the one equal to two** angtee of the other, each to each, and one side equal to one side, viz. either the sides adjacent to... | |
| Thomas Lund - Geometry - 1854 - 192 pages
...CoR. Hence, also, the difference between any two sides is less than the third side. 39. PROP. XVII. **If two triangles have two angles of the one equal to two angles of the other, each to each, and** likewise the side which is common to those angles in the one equal to the side which is common to the... | |
| Popular educator - 1852
...Therefore, if two triangles, &c. QED Scholium. The enunciation of this proposition may be thuğ simplified : **If two triangles have two angles of the one, equal to two angles of the other, each to each, and** u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Charles Davies - Geometry - 1854 - 432 pages
...consequently, the two equiangular triangles BAC, CED, are similar figures. Cor. Two triangles which **have two angles of the one equal to two angles of the other,** are similar ; for, the third angles are then equal, and the two triangles are equian gular (BI, p.... | |
| Euclides - 1855
...EDF. Therefore, if two triangles, &c. QED The enunciation of this proposition may be thus simplif'ed: **If two triangles have two angles of the one, equal to two angles of the other, each to each, and** a side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Euclides - 1855
...the angle EBC (4): and the angle AEG is equal to the angle BEH (a); 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 equal... | |
| Robert Potts - 1855
...drawn to intersect one another, the greater segments will be equal to the sides of the pentagon. 3. **If two triangles have two angles of the one equal to two angles of the other,** and one side equal to one side, viz. either the sides adjacent to the equal angles in each, or the... | |
| John Playfair - Geometry - 1855 - 318 pages
...it is not equal to it: therefore the angle BAC is greater than the angle EDF. PROP. XXVI. THLOR. Jf **two triangles have two angles of the one equal to two angles of the** otIirr, each to each; and one side equal to one side, viz. either the sides adjacent to the equal anglrs,... | |
| Cambridge univ, exam. papers - 1856
...on the same side of it, are either two right angles, or are together equal to two right angles. 3. **If two triangles have two angles of the one equal to two angles of the other, each to each, and** one si ie equal to one side, via. the sides opposite to equal angles in each, then shall the other... | |
| Peter Nicholson - Cabinetwork - 1856 - 216 pages
...parallel to CD, the alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, **have two angles of the one equal to two angles of the other, each to each ; and the** side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ; and... | |
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