| import OAI.Geometry.CylinderCovering.Radial.CoordinatesDefinitions | |
| namespace OAI | |
| noncomputable section | |
| open Set | |
| namespace RadialCoordinates.BarycentricSector | |
| def positiveSector (l r A : ℝ) : Set Plane := | |
| {z | ∃ t ∈ Icc l r, ∃ ρ ∈ Icc (0 : ℝ) A, z = ρ • ray t} | |
| def signedSector (l r a b : ℝ) : Set Plane := | |
| {z | ∃ t ∈ Icc l r, ∃ ρ ∈ Icc (-a) b, z = ρ • ray t} | |
| def vertices (l r A : ℝ) : Fin 3 → Plane := | |
| ![0, A • ray l, A • ray r] | |
| def perimeter (l r A : ℝ) : ℝ := | |
| dist (0 : Plane) (A • ray l) + dist (A • ray l) (A • ray r) + | |
| dist (A • ray r) 0 | |
| end RadialCoordinates.BarycentricSector | |
| end | |
| end OAI | |