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单词 Line at Infinity
释义

Line at Infinity

The straight line on which all Points at Infinity lie. The line at infinity is given interms of Trilinear Coordinates by


which follows from the fact that a Real Triangle will have Positive Area, andtherefore that


Instead of the three reflected segments concurring for the Isogonal Conjugate of a point on theCircumcircle of a Triangle, they become parallel (and can be considered to meet at infinity). As varies aroundthe Circumcircle, varies through a line called the line at infinity. Every line is Perpendicular to theline at infinity.

See also Point at Infinity
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更新时间:2025/2/22 5:09:25