Book:Liu Hui/Commentary on the Nine Chapters on the Mathematical Art

Liu Hui: Commentary on the Nine Chapters on the Mathematical Art

Published $\text {230}$

Subject Matter

A commentary on Chiu Chang Suann Jing ("Nine Chapters of Arithmetic")

Contents

Contains:

• An interpolated value for $\pi$ (pi) of $3 \cdotp 1416$ based on a succession of regular polygons inscribed in a circle.
• A proof of the formulae for:
  • the volume of the square pyramid
  • the volume of the tetrahedron

using a form of exhaustion

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Also see

• Chiu Chang Suann Jing

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Liu Hui (c. ad 263)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Liu Hui (c. ad 263)