| 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... | |
| Popular educator - 1852
...The enunciation of this proposition may be thu» 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... | |
| Thomas Lund - 1854 - Liczba stron: 192
...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... | |
| John Playfair - 1855 - Liczba stron: 318
...angle KFC is equal to the angle CFL : now the right angle FCK is equal to the right angle FCL ; and **therefore, in the two triangles FKC, FLC, there are...to two angles of the other, each to each, and the** fcide FC, which is adjacent to the equal angles in each, is common to both ; therefore the other sides... | |
| 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... | |
| Euclides - 1855
...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... | |
| Cambridge univ, exam. papers - 1856
...it. 4. Any two sides of a triangle are together greater than the third side. 5. 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... | |
| Peter Nicholson - 1856 - Liczba stron: 216
...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 FH is... | |
| Elias Loomis - 1857 - Liczba stron: 226
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the **one equal to two angles of the other, each to each, and the side** Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
| Elias Loomis - 1858 - Liczba stron: 234
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the **one equal to two angles of the other, each to each, and the side** Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
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