| 单词 | symmedian point |
| 释义 | > as lemmassymmedian point symmedian, or symmedian line, each of three lines drawn from the angles of a triangle at inclinations to the angle-bisectors equal to those of the medians (i.e. the lines from the angles to the middle points of the opposite sides). symmedian point, the point at which the symmedians meet. ΘΚΠ the world > relative properties > number > geometry > point > [noun] > forming a centre > of a triangle orthocentre1866 symmedian point1885 the world > relative properties > number > geometry > line > [noun] > set or system of > line in radius1774 ray1856 median1883 symmedian, or symmedian line1885 1885 J. Casey Treat. Analyt. Geom. 45 The three lines which make with the bisectors of a triangle, on the opposite sides, angles equal to those which the medians make, are called the symmedians of the triangle, and their point of intersection its symmedian point. 1885 J. Casey Treat. Analyt. Geom. 247 If figures directly similar be described on the sides of the triangle ABC, the symmedian lines of the triangle (abc) formed by any three corresponding lines pass respectively through the vertices of Brocard's second triangle. < as lemmas |
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