Tennis Ball Theorem

A closed simple smooth spherical curve dividing the Sphere into two parts of equal areas has at least fourInflection Points.

References

Arnold, V. I. Topological Invariants of Plane Curves and Caustics. Providence, RI: Amer. Math. Soc., 1994.

Martinez-Maure, Y. ``A Note on the Tennis Ball Theorem.'' Amer. Math. Monthly 103, 338-340, 1996.

• Cone Net
• Cone (Space)
• Cone-Sphere Intersection
• Confidence Interval
• Configuration
• Confluent Hypergeometric Differential Equation
• Confluent Hypergeometric Function
• Confluent Hypergeometric Function of the First Kind
• Confluent Hypergeometric Function of the Second Kind
• Confluent Hypergeometric Limit Function
• Confocal Conics
• Confocal Ellipsoidal Coordinates
• Confocal Parabolic Coordinates
• Confocal Paraboloidal Coordinates
• Conformal Latitude
• Conformal Map
• Conformal Solution
• Conformal Tensor
• Conformal Transformation
• Congruence
• Congruence Axioms
• Congruence (Geometric)
• Congruence Transformation
• Congruent
• Congruent Incircles Point