pointsWithCircumcenter — Mathlib

English

The function pointsWithCircumcenter lists the vertices of a simplex together with its circumcenter.

Русский

Функция pointsWithCircumcenter перечисляет вершины простого многогранника вместе с его circumcenter.

LaTeX

$$$\text{pointsWithCircumcenter} : (s\text{ : Simplex}) \to (vertex\;\cup\; circumcenter)$$$

Lean4

/-- The vertices of a simplex plus its circumcenter. -/
def pointsWithCircumcenter {n : ℕ} (s : Simplex ℝ P n) : PointsWithCircumcenterIndex n → P
  | pointIndex i => s.points i
  | circumcenterIndex => s.circumcenter

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