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Circle constructed from a triangle
In geometry, the orthocentroidal circle of a non-equilateral triangle is the circle that has the triangle's orthocenter and centroid at opposite ends of
Orthocentroidal_circle
Simple curve of Euclidean geometry
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of
Circle
Conic plane curve associated with a given triangle
orthoassociate (i.e. the inverse in the polar circle) of the orthic axis is the orthocentroidal circle." Kimberling, Clark. "Encyclopedia of Triangle
Triangle_conic
Malfatti circles – Three tangent circles in a triangle Nine-point circle – Circle constructed from a triangle Orthocentroidal circle – Circle constructed
List_of_circle_topics
Line constructed from a triangle
{\displaystyle GH} is a diameter of the orthocentroidal circle. The center N {\displaystyle N} of the nine-point circle lies along the Euler line midway
Euler_line
Circles tangent to all three sides of a triangle
G_{e}} (or triangle center X7). The Gergonne point lies in the open orthocentroidal disk punctured at its own center, and can be any point therein. The
Incircle_and_excircles
Triangle center associated with the nine-point circle
the orthocentroidal circle (the circle having the segment from the centroid to the orthocenter as its diameter). The only point inside this circle that
Nine-point_center
Napoleon's theorem Nine-point circle Nine-point hyperbola One-seventh area triangle Orthocenter Orthocentric system Orthocentroidal circle Orthopole Pappus' area
List_of_triangle_topics
Plane figure, bounded by circle
disk Disk algebra, a space of functions on a disk Circular segment Orthocentroidal disk, containing certain centers of a triangle Clapham, Christopher;
Disk_(mathematics)
Center of the inscribed circle of a triangle
centroid G {\displaystyle G} and the orthocenter H {\displaystyle H} (the orthocentroidal disk), but it cannot coincide with the nine-point center, whose position
Incenter
Intersection of the three symmedian lines of a triangle
sixth point, X(6). For a non-equilateral triangle, it lies in the open orthocentroidal disk punctured at its own center, and could be any point therein. The
Lemoine_point
Triangle center minimizing sum of distances to each vertex
on a Lester circle. The line X(13)X(14) meets the Euler line at midpoint of X(2) and X(4). The Fermat point lies in the open orthocentroidal disk punctured
Fermat_point
ORTHOCENTROIDAL CIRCLE
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ORTHOCENTROIDAL CIRCLE