Trisected Perimeter 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, given a triangle ABC, there exist unique points A'', B'', and C'' on the sides BC, CA, AB respectively, such that: A'', B'', and C'' partition the perimeter of the triangle into three equal-length pieces. That is, C''B + BA'' = B''A + AC'' = A''C + CB''. The three lines AA'', BB'', and CC'' meet in a point, the trisected perimeter point. This is point X369 in Clark Kimberling''s Encyclopedia of Triangle Centers. Uniqueness and a formula for the trilinear coordinates of X369 were derived by Peter Yff.…mehr

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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, given a triangle ABC, there exist unique points A'', B'', and C'' on the sides BC, CA, AB respectively, such that: A'', B'', and C'' partition the perimeter of the triangle into three equal-length pieces. That is, C''B + BA'' = B''A + AC'' = A''C + CB''. The three lines AA'', BB'', and CC'' meet in a point, the trisected perimeter point. This is point X369 in Clark Kimberling''s Encyclopedia of Triangle Centers. Uniqueness and a formula for the trilinear coordinates of X369 were derived by Peter Yff.