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Outline
Volumes and Surface Areas of Pyramids, Cones and Spheres
Cavalieri's Principle
Volume of Pyramids
Curved Surface Area of Cones
Volume and Surface Area of Spheres
Volume of Spheres and the Double Box-lid (牟合方蓋)
Relationships between Volumes and Surface Areas of Similar Figures
Volumes and Surface Areas of Pyramids, Cones and Spheres
Author:
Anthony OR 柯志明
,
GeoGebra Institute of Hong Kong
Topic:
Area
,
Cone
,
Pyramid
,
Solids or 3D Shapes
,
Sphere
,
Surface
,
Volume
GeoGebraBook for elementary proofs of the formulas for volumes and surface areas of pyramids, cones and spheres.
Table of Contents
Cavalieri's Principle
Cavalieri's Principle (祖暅原理)
Volume of Pyramids
Trisecting the Cube into 3 Pyramids "Yangma"（陽馬）
Volume of Pyramids
Volume of Pyramids - Chinese Proof
Curved Surface Area of Cones
Curved Surface Area of Cones (Combined Version)
Volume and Surface Area of Spheres
Volume of Spheres
Surface Area of Spheres
Volume of Spheres with Proof
Surface Area of Spheres with Proof
Volume of Spheres and the Double Box-lid (牟合方蓋)
Volume of Spheres in Nine Chapters on the Mathematical Art《九章算術》的球體體積公式
Tracing Double Box-lid (Mouhefanggai 牟合方蓋)
Double Box-lid (Mouhefanggai) 牟合方蓋面面觀
Double Box-lid (Mouhefanggai 牟合方蓋) as Intersection of 2 Cylinders
Volumes of Mouhefanggais and Spheres 牟合方蓋和球體的體積
Relationships between Volumes and Surface Areas of Similar Figures
Volumes and Surface Areas of Similar Cuboids
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