| Euclides - 1847
...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 the sides opposite... | |
| Euclides - 1849 - 108 pagina’s
...greater than the 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... | |
| Elias Loomis - 1849 - 226 pagina’s
...angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one euual **to two angles of the other, each to each, and the side** Ell included between the equal angles, common; hence the triangles are equal (Prop. VII.); and the... | |
| Euclides - 1852
...cardboard, so as to exemplify the two last propositions.] PROP. XXVI. THEOR. 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... | |
| Euclides - 1853
...equal to kcf, and the right angle fhc equal to the right angle fkc ', in the triangles f b. c, fkc **there are two angles of one equal to two angles of the other,** and the side fc, which is opposite to one of the equal angles in each, is common to both; therefore... | |
| Euclides - 1853
...EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOREM. If two trianglet 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 the sides opposite... | |
| Thomas Lund - 1854 - 362 pagina’s
...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... | |
| 1854
...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... | |
| Euclides - 1855
...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... | |
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