Nagel Point

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the Nagel point is a point associated with any triangle. In the plane of a triangle ABC with side lengths a = BC , b = CA , and c = AB , let TA, TB, and TC be the points in which the A-excircle meets line BC, the B-excircle meets line CA, and C-excircle meets line AB, respectively. The lines ATA, BTB, CTC concur in the Nagel point N of triangle ABC. The Nagel point is named after Christian Heinrich von Nagel, a nineteenth century German mathematician, who wrote about it in 1836. Another construction of the point TA is to start at A and trace around triangle ABC half its perimeter, and similarly for TB and TC. Because of this construction, the Nagel point is sometimes also called the bisected perimeter point.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131296703
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131296703
    • Format Fachbuch
    • Titel Nagel Point
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 76
    • Genre Mathematik

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