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Descartes (1643):
(k₁+k₂+k₃+k₄)²
 = 2(k₁²+k₂²+k₃²+k₄²)

New circle:
k₄ = k₁+k₂+k₃
  ± 2√(k₁k₂+k₂k₃+k₁k₃)

Iterative:
k₄’ = 2(k₁+k₂+k₃) − k₄
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