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785c727 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | 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
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