KnowraNine-point circleLinked fromLinked fromThe 10 pages that link to Nine-point circle, each with the reason it gives.All 10Related 8Compared with 2CircumcircleRelated: It is a companion circle with radius half the circumcircle’s radius.OrthocenterRelated: The altitude feet and orthocenter-derived points place this circle in the triangle’s geometry.Triangle geometryRelated: Its center lies halfway between the circumcenter and orthocenter.Euler lineRelated: Its center lies on the Euler line, linking the line to a second classical theorem.Simson lineRelated: Simson-line geometry connects with the same perpendicular-foot constructions that define this circle.Feuerbach's theoremRelated: This is the circle whose tangencies the theorem asserts.Bottema's theoremRelated: It gathers several perpendicular constructions associated with the same triangle.Reuschle's theoremRelated: This associated circle is a common participant in center-and-circle configurations.