Incircle and Excircles of A Triangle - Equations For Four Circles

Equations For Four Circles

Let x : y : z be a variable point in trilinear coordinates, and let u = cos2(A/2), v = cos2(B/2), w = cos2(C/2). The four circles described above are given by these equations:

  • Incircle:
  • A-excircle:
  • B-excircle:
  • C-excircle:

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