Orthocentric System

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Details

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, an orthocentric system is a set of four points in the plane one of which is the orthocenter of the triangle formed by the other three. If four points form an orthocentric system, then each of the four points is the orthocenter of the other three. These four possible triangles will all have the same nine-point circle. Consequently these four possible triangles must all have circumcircles with the same circumradius. The center of this common nine-point circle lies at the centroid of the four orthocentric points. The radius of the common nine-point circle is the distance from the nine-point center to the midpoint of any of the six connectors that join any pair of orthocentric points through which the common nine-point circle passes.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131302398
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131302398
    • Format Fachbuch
    • Titel Orthocentric System
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 124
    • Genre Mathematik

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