Theorems · Definition · geometry

EuclideanGeometry.Sphere.orthRadius

{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] → EuclideanGeometry.Sphere P → P → AffineSubspace ℝ P

The affine subspace orthogonal to the radius vector of the sphere s at the point p (if p lies in s, this is the tangent space; generally, this is the polar of the inversion of p in s).

Defined in

Mathlib.Geometry.Euclidean.Sphere.OrthRadius

Cited by

41 results in Mathlib

Foundations

Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor