Term
Cylindrical to Rectangular
(r,Θ,z) to (x,y,z) |
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Definition
x = rcos(Θ)
y = rsin(Θ)
z = z |
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Term
Rectangular to Cylindrical
(x,y,z) to (r,Θ,z) |
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Definition
r² = x² + y²
tan(Θ) = y/x
z = z |
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Term
Rectangular to Spherical
(x,y,z) to (ρ,Θ,Φ) |
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Definition
ρ² = x² + y² + z²
tan(Θ) = y/x
Φ = arccos(z/√x²+y²+z²) |
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Term
Spherical to Rectangular
(ρ,Θ,Φ) to (x,y,z) |
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Definition
x = (ρ)sin(Φ)cos(Θ)
y = (ρ)sin(Φ)sin(Θ)
z = (ρ)cos(Φ)
r = ρ)sin(Φ) |
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Term
Cylindrical to Spherical (r≥0)
(r,Θ,z) to (ρ,Θ,Φ) |
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Definition
(ρ) = √r²+z²
(Θ) = (Θ)
z = (ρ)cos(Φ)
tan(Φ) = r/z |
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Term
Spherical to Cylindrical (r≥0)
(ρ,Θ,Φ) to (r,Θ,z) |
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Definition
r² = (ρ)²sin²(Φ)
(Θ) = (Θ)
z = (ρ)cos(Φ) |
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