| Adrien Marie Legendre - 1819 - 208 sider
...two similar figures. 203. CoroUary. In order to be similar, it is sufficient that two triangles have **two angles of the one respectively equal to two angles of the other** ; for then the third angles will be equal and the two triangles will be equiangular. 5204. Scholium.... | |
| Euclides - 1821
...the adjacent internal atig Z= to two 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,... | |
| John Farrar - 1822 - 153 sider
...the angle OT'S' is equal to OT*, and consequently equal to OEF. Therefore the triangles EX&, T'xF, **having two angles of the one respectively equal to two angles of the other,** are similar ; whence Ex : xT' :: S'x : xF, and S'xx xT' = Ex x xF. "BvAEx, xF, xy, being radii of the... | |
| Adrien Marie Legendre - 1825 - 224 sider
...two similar figures. 203. Corollary. In order to be similar, it is sufficient that two triangles have **two angles of the one respectively equal to two angles of the other** ; for then the third angles will be equal ahd the two triangles will be equiangular. 204. Scholium.... | |
| Euclid, Dionysius Lardner - 1828 - 324 sider
...includes the twentieth proposition. PROPOSITION XXVI. THEOREM. (105) If two triangles (BAC, DEF) have **two angles of the one respectively equal to two angles of the other** (B to D and C to F), and a side ot the one equal to a side of the other similarly placed with respect... | |
| John Farrar - 1833 - 155 sider
...OTS' is equal to i . K*fi ^: OTS, and consequently equal to OEF. Therefore the triangles ExS', TxF, **having two angles of the one respectively equal to two angles of the other** are similar ; whence Ex : xT : : S'x : xF, and S'x X xT = Ex X xF, t Suppose a straight line Ff drawn... | |
| John Farrar - 1833 - 155 sider
...the angle OT'S' is equal to OTS, and consequently equal to OEF. Therefore the triangles ExS', T'xF, **having two angles of the one respectively equal to two angles of^ the other** are similar ; whence Ex : xT : : S'x : xF, and S'x X xT = Ex X xF, But Ex, xF, xy, being radii of the... | |
| Benjamin Peirce - 1837 - 159 sider
...173. Corollary. Hence, and from art. 66, it follows that two triangles are similar, when they have **two angles of the one respectively equal to two angles of the other.** 174. Corollary. Two right triangles are similar, when they tiave an acute angle of the one equal to... | |
| Euclides - 1840
...greater than the angle subtended by the less base of the other. PROP. XXVI. THEOR. If two triangles have **two angles of the one respectively equal to two angles of the other, and** also a side in the one equal to a side similarly situated in the other, that is to say, either lying... | |
| Adrien Marie Legendre - 1841 - 235 sider
...two similar figures. 203. Corollary. In order to be similar, it is sufficient that two triangles have **two angles of the one respectively equal to two angles of the other** ; for then the third angles will be equal, and the two triangles will be equiangular. 204. Scholium.... | |
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