| Euclides - 1821
...right angles, (by the 13th.) .-. &c. •jy two triangles have two angles of the one respectively equal **to two angles of the other, and a side of the one** equal to a side of the other, whether it be adjacent or opposite to these equal angles, the remaining... | |
| George Darley - 1836 - 128 sider
...that triangle which has the greater base is greater than the vertical angle of the other triangle, 32. **ART. 46. If two triangles have two angles of the one...one triangle equal to a corresponding side of the** other—these triangles arc in every respect equal to each other, ibid. opposite the right angle is... | |
| Robert Potts - 1855
...equal, the triangle is isosceles. 2. If two triangles have two angles of the one respectively equal **to two angles of the other, and a side of the one** equal to a side of the other, either the sides adjacent to or opposite to those equal angles; the remaining... | |
| Euclides - 1860
...transposition. It might then be demonstrated as follows : If two triangles have two angles of the one equal **to two angles of the other, and a side of the one** equal to a corresponding side of the other; the triangles are equal in every respect. Given two triangles... | |
| James Maurice Wilson - 1868
...have to one another the ratio of the sides of the triangle t .... 60 FIVE COROLLARIES 61 THEOREM 6. **If two triangles have two angles of the one equal respectively to two angles of the other,** the triangles shall be similar, the sides which are opposite the equal angles being homologous ............ | |
| Henry William Watson - 1871 - 285 sider
...Fig. 28, therefore they are equal to each other. Fig. 27. Fig. 28. Because the triangles EAD and EBC **have two angles of the one equal respectively to two angles of the other,** therefore they are similar ; therefore _ - is equal to == ; xL,U Jiii therefore, the rectangle of AE... | |
| Simon Newcomb - 1881 - 399 sider
...triangle are given, the third angle may be found by subtracting their sum from 180°. . 75. Corollary 2. **If two triangles have two angles of the one equal respectively to two angles of the other,** the third angles will also be equal. EXERCISES. 1. If a triangle has two angles each equal to 60°,... | |
| 1894
...distances of the third angular point from the same two points. 2. If two triangles have two angles of **one equal respectively to two angles of the other, and a side of** one equal to a side similarly placed with respect to the equal angles of the other, the triangles are... | |
| Henry Dallas Thompson - 1896 - 199 sider
...the triangle which has the greater included angle has the greater base. 28. If two convex spherical **triangles have two angles of the one equal respectively to two angles of the other,** but the sides between these pairs of angles greater in one triangle than in the other, the triangle... | |
| Thomas Franklin Holgate - 1901 - 440 sider
...is said to be the complement of another when the sum of the two is a right angle. 104. COROLLARY IV. **If two triangles have two angles of the one equal respectively to two angles of the other,** their third angles are also equal; or, if the sum of two angles in the one is equal to the sum of two... | |
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