Nine-Point Circle: Geometry, Circle, Triangle, Point (Geometry), Midpoint, Altitude (Triangle), Line segment, Vertex (Geometry), Karl Wilhelm Feuerbach, Tangent - Couverture souple

 
9786130331917: Nine-Point Circle: Geometry, Circle, Triangle, Point (Geometry), Midpoint, Altitude (Triangle), Line segment, Vertex (Geometry), Karl Wilhelm Feuerbach, Tangent

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant points defined from the triangle. These nine points are: * The midpoint of each side of the triangle * The foot of each altitude * The midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet; these line segments lie on their respective altitudes) The nine-point circle is also known as Feuerbach''s circle, Euler''s circle, Terquem''s circle, the six-points circle, the twelve-points circle, the n-point circle, the medioscribed circle, the mid circle or the circum-midcircle.

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