Information AboutSymmedian Point |
| CATEGORIES ABOUT SYMMEDIAN | |
| triangle geometry | |
| SHOPPER'S DELIGHT | |
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: A triangle with medians (blue), angle bisectors (green) and symmedians (red). The symmedians intersect in the Lemoine point L. The symmedian point of a triangle with sides ''a'', ''b'' and ''c'' has homogeneous Trilinear Coordinates : ''b'' : ''c'' . The symmedian point ''L'' can also be constructed differently: the three lines joining the midpoint of a side to the midpoint of the Altitude on that side intersect in ''L''. The symmedian point of a Right Triangle is therefore the midpoint of the altitude on the hypotenuse. The Gergonne Point of a triangle is the same as the symmedian point of the triangle's Contact Triangle . The symmedian point is the Isogonal Conjugate of the triangle's Centroid . EXTERNAL LINKS
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