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:

Read more about this topic:  Incircle And Excircles Of A Triangle

Famous quotes containing the word circles:

    Think of the wonderful circles in which our whole being moves and from which we cannot escape no matter how we try. The circler circles in these circles....
    —E.T.A.W. (Ernst Theodor Amadeus Wilhelm)