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Bøker Bok 110 av 54If two triangles have two angles of the one respectively equal to two angles of the...
" If two triangles have two angles of the one respectively equal to two angles of the other, the third angles are equal. "
A Treatise on Plane and Spherical Trigonometry: Including the Construction ... - Side 82
av Enoch Lewis - 1844 - 228 sider
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Elements of Geometry

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....
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The Elements of geometry [Euclid book 1-3] in general terms, with ..., Del 3

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,...
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An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

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...
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Elements of Geometry

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....
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The First Six Books of the Elements of Euclid, with a Commentary and ...

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...
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An Elementary Treatise on the Application of Trigonomentry to Orthographic ...

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...
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An Elementary Treatise on the Application of Trigonomentry to Orthographic ...

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...
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An Elementary Treatise on Plane and Solid Geometry

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...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

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...
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Elements of geometry

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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