| Charles Butler - 1814
...at D,) and the angles AlJD, CAD equal ', and also the side AD common; these triangles therefore have **two angles of the one equal to two angles of the other,** each to each, but the common side AD not lying either between given, or opposite equal angles, the... | |
| Euclides - 1816 - 528 sider
...BD, and that the right angle BED is equal to the right angle BFD, the two triangles • EBD, FED have **two angles of the one equal to two angles of the other, and** the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore their... | |
| Daniel Cresswell - 1816 - 294 sider
...then, (IX.) . sin S s\n A sin «S'sin A .s\nS"s\nA" (235.) COR. 2. If two spherical triangles have **two angles of the one equal to two angles of the other,** each to each, or an angle of the one being equal to an angle of the other, if two other angles, one... | |
| Encyclopaedia Perthensis - 1816
...Any two angles of a triangle are together lefi than two right angles. COR. 3. If two triangles have **two angles of the one equal to two angles of the other,** the remaining angle of the one is equal to the remaining angle of the other. Coa. 4. The two acute... | |
| 1816
...Any two angles of a triangle are together lefs than two right angles. COR. 3. If two triangles have **two angles of the one equal to two angles of the other,** the remaining angle of the one is equal to the remaining angle of the other, COR. 4. The two acute... | |
| Daniel Cresswell - 1817 - 436 sider
...vertex to the base, bisecting the vertical angle. PROP. XXXII. . • (xxvi.) If two triangles have **two angles of the one equal to two angles of the other,** the third angle of the one shall also be equal to the third angle of the other. (XXVII.) The angle... | |
| John Playfair - 1819 - 333 sider
...than the angle EDF. Wherefore, if tw» triangles, &c. QED 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,... | |
| Peter Nicholson - 1823 - 596 sider
...parallel to CD, the alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, 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... | |
| Peter Nicholson - 1825 - 372 sider
...takes place when in each triangle two sides respectively equal, form an equal angle ; and also when **two angles of the one, equal to two angles of the other,** are formed on an equal side. It is easy to demonstrate these propositions in the same manner as in... | |
| Robert Simson - 1827 - 513 sider
...equal to KCF, and the right angle FHC equal to the right angle FKC; therefore in the triangles FHC, FKC **there are two angles of the one equal to two angles of the other,** each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to... | |
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