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K702

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X(1), X(8), X(79), X(274), X(1125), X(4647)

A', B', C' : cevians of X(75)

K702 = psK(X1125, X75, X1) is a member of the class CL063. See also Table 37.

Note that the trilinear equation of K207 is the barycentric equation of K702

K702 has three asymptotes concurring at X = (b + c) (2 a + b + c) (a^2 + a b + a c + 3 b c) : : , on the lines X(10)X(12), X(551)X(740), X(1125)X(1962), etc, with SEARCH = 2.90713293936441, unlisted in ETC.

[Peter Moses] X is :

  • the midpoint of X(1962) and X(4647),
  • the reflection of X(1962) in X(1125),
  • the reflection of X(4065) in X(1962),
  • the {X(1125), X(4647)}-harmonic conjugate of X(4065).