10 different classes of ratio

  • #1
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Main Question or Discussion Point

In the book 'ZERO THE BIOGRAPHY OF A DANGEROUS IDEA' Charles Seife says, "Because ratios were the key to understanding nature, the Pythagoreans and later Greek Mathematicians spent much of their energy investigating their properties. Eventually, they categorized proportions into 10 different classes with names like harmonic mean."
What are the 10 different classes?
 

Answers and Replies

  • #2
berkeman
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In the book 'ZERO THE BIOGRAPHY OF A DANGEROUS IDEA' Charles Seife says, "Because ratios were the key to understanding nature, the Pythagoreans and later Greek Mathematicians spent much of their energy investigating their properties. Eventually, they categorized proportions into 10 different classes with names like harmonic mean."
What are the 10 different classes?
The first hit on the Google search result for Greek Mathematicians 10 classes of ratios is a PDF which looks like it might answer your question... :smile:
 

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