| Thomas Kerigan - 1828 - 664 sider
...opposite angle CBF, — Euclid, Book I., Prop. 29. And, since the two triangles AFD and FBC have, thus, **two angles of the one equal to two angles of the other,** viz., the angle AFD to the angle FBC, and the angle FAD to the angle BFC, and the side AF of the one... | |
| JAMES HAYWARD - 1829
...mO' and M'N'O' are equal. The angle N'O'M' is common to the two triangles nmO' and N'M'O'; and having **two angles of the one equal to two angles of the other,** the other angles must be equal, that is, the angle O'M'N' is equal to the angle O' nm ; and this intersection... | |
| Pierce Morton - 1830 - 272 sider
...В С, and let the line EG meet DF, or DF produced in G. Then, because the triangles ABC, DEG have **two angles of the one equal to two angles of the other,** each to each, they are equiangular : therefore (31.) DE : EG "АВГВС, butAB:BC::DE:EF: therefore... | |
| William Sullivan - 1833 - 352 sider
...it. It is a truth, for example, but not a self-evident one, that if one draw two triangles, having **two angles of the one equal to two angles of the other,** each to each ; and one side equal to one side, viz. either of the sides adjacent to the equal angles,... | |
| Thomas Perronet Thompson - 1833 - 150 sider
...proved in all other triangles under the same conditions. Wherefore, universally, if two triangles have **two angles of the one, equal to two angles of the other** respectively ; &c. Which was to be demonstrated. PROPOSITION XXVII. THEOREM. — If a straight line... | |
| Euclides - 1834
...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... | |
| Robert Simson - 1835 - 513 sider
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC; in the triangles FHC, FKC **there are two angles of the 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 the... | |
| Euclid - 1835 - 513 sider
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC **there are two angles of the 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 the... | |
| 1835
...triangles, which are equal in every respect. PROP. 5. (Eue. i. 26, first part of.) If two triangles have **two angles of the one equal to two angles of the other,** each to each, and likewise the interjacent* sides equal ; their other sides shall be equal, each to... | |
| John Playfair - 1836 - 114 sider
...therefore all the exterior angles are equal to four right angles. PROP. VI. 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, the triangles shall be equivalent. Let ABC, DEF be two... | |
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