Affine.Triangle.eulerPoint_eq_midpoint
∀ {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] (s : Affine.Triangle ℝ P) (i : Fin 3),
Affine.Simplex.eulerPoint s i = midpoint ℝ s.orthocenter (s.points i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- VSub.vsubproof · cited by 817
- smul_zeroproof · cited by 665
- Affine.Simplex.pointsstatement and proof · cited by 391
- midpointstatement and proof · cited by 123
- Affine.Trianglestatement and proof · cited by 75
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