Theorems · Definition · geometry
Affine.Simplex.inradius
{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} → [NeZero n] → Affine.Simplex ℝ P n → ℝThe distance between the incenter and a face of the simplex.
- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- Affine.Simplexstatement and proof · cited by 471
- EuclideanGeometry.Sphere.radiusproof · cited by 123
- Affine.Simplex.exsphereproof · cited by 20
Cited by11
Results whose statement or proof uses this declaration.
- Affine.Simplex.insphere_radiusstatement · cited by 1
- Affine.Simplex.inradius_posstatement · cited by 0
- Affine.Simplex.dist_incenterstatement · cited by 0
- Affine.Simplex.inradius_reindexstatement · cited by 0
- Affine.Simplex.inradius_restrictstatement · cited by 0
- Affine.Simplex.inradius.congr_simpstatement and proof · cited by 0
- Affine.Simplex.signedInfDist_incenterstatement and proof · cited by 0
- Affine.Simplex.exradius_univstatement and proof · cited by 0
- Affine.Simplex.exradius_emptystatement · cited by 0
- Affine.Simplex.inradius_eq_abs_inv_sumstatement · cited by 0
- Affine.Simplex.inradius_mapstatement · cited by 0