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Non-Euclidean Geometry
All math tools
Explore properties of Spherical and Hyperbolic triangles.
Triangle Angles (Degrees)
Angle α
Angle β
Angle γ
Analysis
Angle Sum
270.00°
Geometry Type
Spherical (Elliptic)
Defect / Excess
90.00°
Spherical Excess
About this calculator
What is Non-Euclidean Geometry?
Geometries where the parallel postulate does not hold. In Spherical geometry, angle sum > 180°. In Hyperbolic geometry, angle sum < 180°.
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Pro Tips
Euclidean: Sum = 180°
Spherical: Sum > 180° (Positive Curvature)
Hyperbolic: Sum < 180° (Negative Curvature)
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Fun Facts
"On a sphere, a triangle can have three 90° angles!"
"Hyperbolic geometry is often modeled by the Poincaré disk."
Formula: Excess = (α + β + γ) - 180°
