Theorems · Theorem · geometry

Affine.Simplex.ninePointCircle_map

∀ {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] {V₂ : Type u_3} {P₂ : Type u_4} [inst_4 : NormedAddCommGroup V₂]
  [inst_5 : InnerProductSpace ℝ V₂] [inst_6 : MetricSpace P₂] [inst_7 : NormedAddTorsor V₂ P₂] {n : ℕ}
  (s : Affine.Simplex ℝ P n) (f : P →ᵃⁱ[ℝ] P₂),
  (s.map f.toAffineMap ⋯).ninePointCircle = { center := f s.ninePointCircle.center, radius := s.ninePointCircle.radius }

Defined in

Mathlib.Geometry.Euclidean.NinePointCircle

Cited by

0 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsorNormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor