| Euclides - 1853 - 146 pages
...the right angle BED is equal (Ax. 11.) to the right angle BFD; therefore the two triangles EBD, FBD, **have two angles of the one equal to two angles of the other,** each to each , and the side BD, which is opposite to one of the equal angles in each, is common to... | |
| Euclides - Geometry - 1853 - 176 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... | |
| Popular educator - 1852 - 1272 pages
...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... | |
| Thomas Lund - Geometry - 1854 - 520 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... | |
| Charles Davies - Geometry - 1854 - 436 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.... | |
| Robert Potts - 1855 - 1050 pages
...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 sides... | |
| Euclides - 1855 - 270 pages
...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... | |
| John Playfair - Geometry - 1855 - 334 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,... | |
| Euclides - 1855 - 230 pages
...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... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...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... | |
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