Theorems · Theorem · geometry

Affine.Simplex.ninePointCircle_center_mem_affineSpan

∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
  [inst_3 : NormedAddTorsor V P] {n : ℕ} (s : Affine.Simplex ℝ P n),
  s.ninePointCircle.center ∈ affineSpan ℝ (Set.range s.points)

Defined in

Mathlib.Geometry.Euclidean.NinePointCircle

Cited by

2 results in Mathlib

Foundations

Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor