 | Adrien Marie Legendre - 1819 - عدد الصفحات: 574
...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 - عدد الصفحات: 294
...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... | |
 | John Farrar - 1822 - عدد الصفحات: 270
...to ST, 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...other, are similar ; whence Ex : xT' :: S'x : xF, and S'xx xT' = Ex x xF. "BvAEx, xF, xy, being radii of the same circle EyF, - 2 Ex x xF — 3. y ; consequently... | |
 | John Farrar - 1822 - عدد الصفحات: 244
...consequently equal to OEF. Therefore the triangles Ex&, T'xF, having two angles of the one respecth ely equal to two angles of the other, are similar ; whence Ex : XT' :: 8'x : xF, and 8'xx xT = Exx xF. But Ex, xF, xy, being radii of the same circle EyF, Ex x xF = xy... | |
 | Adrien Marie Legendre - 1825 - عدد الصفحات: 276
...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 - عدد الصفحات: 542
...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 - عدد الصفحات: 274
...half of ODF (Geom. 126.) Also, since S'T is parallel to ST, the angle OTS' is equal to i . K*fi ^: OTS, and consequently equal to OEF. Therefore the...whence Ex : xT : : S'x : xF, and S'x X xT = Ex X xF, t Suppose a straight line Ff drawn through the point F parallel to DB, we shall have Bf = I)F (Geom.... | |
 | Benjamin Peirce - 1837 - عدد الصفحات: 216
...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 - عدد الصفحات: 82
...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... | |
 | Adrien Marie Legendre - 1841 - عدد الصفحات: 288
...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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If two triangles have two angles of the one respectively equal to two angles of the other, the third angles are equal. 
