Posts tagged 'thanos-kalogerakis'

GC-06.02 — Elliot McGucken & Thanos Kalogerakis's Equal Tangent Circles cB: x**2 + y**2 - 1 = 0 cD: y**2 + (x - 2)**2 - 1 = 0 BD: y = 0 FD: x + 2*y - 2 = 0 Golden major HI = 2 Golden minor FH = -1 + sqrt(5) D = (2, 0) A = (0, -1) B = (0, 0) C = (1, 0) F = (0, 1) H = (2 - 2*sqrt(5)/5, sqrt(5)/5) I = (2*sqrt(5)/5 + 2, -sqrt(5)/5) D A B C F H I

GC-06.02 · Elliot McGucken & Thanos Kalogerakis’s Equal Tangent Circles

Let equal unit circles cB and cD touch externally at C, and let AF be the diameter of cB perpendicular to line of centers BD. Secant FD cuts cD at H and I such that \(|HI|/|FH| = |FI|/|HI| = |FI|/|AF| = \phi\).