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Proportions and proportionality, 1509

Proportions and proportionality, 1509

C029/1040

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LIBRARY OF CONGRESS / SCIENCE PHOTO LIBRARY LIBRARY OF CONGRESS / SCIENCE PHOTO LIBRARY

Caption

Proportions and proportionality, 16th century. This page shows the 'Tree of Proportions and Proportionality' as published in 'On the Divine Proportion' (1509) by Italian mathematician Luca Pacioli (c.1447-1517). This tree is a complex classification and naming of types of proportions and ratios, including continuous and discontinuous,and rational and irrational numbers. The terms include: ratios of equality and inequality; of greater and lesser inequality; multiplexes or multiples; single, double and triple ratios; and particulars, alterates, and partiens. Pacioli's 'On the Divine Proportion' was about mathematical proportions such as the 'golden ratio' referred to in the title.

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