Cavalieri's Principle

1. If the lengths of every one-dimensional slice are equal for two regions, then the regions have equalAreas.

2. If the Areas of every two-dimensional slice (Cross-Section) are equal for twoSolids, then the Solids have equal Volumes.

References

Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 126 and 132, 1987.

• Full Reptend Prime
• Full Width at Half Maximum
• Function
• Functional
• Functional Analysis
• Functional Calculus
• Functional Derivative
• Function Field
• Function Space
• Functor
• Fundamental Class
• Fundamental Continuity Theorem
• Fundamental Discriminant
• Fundamental Forms
• Fundamental Group
• Fundamental Homology Class
• Fundamental Lemma of Calculus of Variations
• Fundamental System
• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves