Definition of Symmedians. Meaning of Symmedians. Synonyms of Symmedians

- conjugate of P. The symmedians illustrate this fact. In the diagram, the medians (in black) intersect at the centroid G. Because the symmedians (in red) are...
- geometry, the Lemoine point, Grebe point or symmedian point is the intersection of the three symmedians (medians reflected at the ****ociated angle bisectors)...
- through the same vertex, one obtains a symmedian. The three symmedians intersect in a single point, the symmedian point of the triangle. The sum of the...
- the symmedian point X6 (also denoted by K) having trilinear coordinates a : b : c. So the Lemoine axis of △ABC is the trilinear polar of the symmedian point...
- antiparallèles dans un triangle, Lemoine proved the concurrency of the symmedians of a triangle; the reflections of the medians of the triangle over the...
- center of the nine-point circle X(6) Symmedian point intersection of the three symmedians X(7) Gergonne point symmedian point of contact triangle X(8) Nagel...
- }}\triangle ABC).} The isogonal conjugate of a triangle's centroid is its symmedian point. Any of the three medians through the centroid divides the triangle's...
- the three lines that are parallel to the edges that p**** through its symmedian point. If the successive sides of a cyclic hexagon are a, b, c, d, e,...
- point of a triangle has a number of properties, including that it is the symmedian point of the Gergonne triangle. Trilinear coordinates for the vertices...
- line of the cir****center and the symmedian point (i.e., the Brocard axis). The cubic p****es through the centroid, symmedian point, both Fermat points, both...