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单词 Isogonic Centers
释义

Isogonic Centers

The first isogonic center of a Triangle is the Fermat Point. The second isogonic center isconstructed analogously with the first isogonic center except that for , the EquilateralTriangles are constructed on the same side of the opposite Vertex. Thesecond isogonic center has Triangle Center Function


Its Antipedal Triangle is Equilateral and has Area


where is the Brocard Angle.


The first and second isogonic centers are Isogonal Conjugates of the IsodynamicPoints.

See also Brocard Angle, Equilateral Triangle, Fermat Point, Isodynamic Points, Isogonal Conjugate


References

Gallatly, W. The Modern Geometry of the Triangle, 2nd ed. London: Hodgson, p. 107, 1913.

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, 163-187, 1994.


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更新时间:2024/11/11 15:47:44