Theorems · Definition · geometry

EuclideanGeometry.angle

{V : Type u_1} →
  {P : Type u_2} →
    [inst : NormedAddCommGroup V] →
      [InnerProductSpace ℝ V] → [inst_2 : MetricSpace P] → [NormedAddTorsor V P] → P → P → P → ℝ

The undirected angle at p₂ between the line segments to p₁ and p₃. If either of those points equals p₂, this is π/2. Use open scoped EuclideanGeometry to access the ∠ p₁ p₂ p₃ notation.

Defined in

Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine

Cited by

187 results in Mathlib

Foundations

Depth 189 from the axioms, rests on 4,724 definitions · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor