| 释义 |
symmedian, n. and a. Geom.|sɪˈmiːdɪən|
[f. Gr. σύν sym- + median a.1 and n.1]
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.
1885J. Casey 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. Ibid. 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. |
