◀ ▲ ▶Branches / Geometry / Elements-euclid / Book--5-proportion / Definition: 5.08: Proportion in Three Terms

Definition: 5.08: Proportion in Three Terms

And a proportion in three terms is the smallest (possible).

Modern Formulation

We say, the positive real numbers \(\alpha,\beta,\gamma\) are in a proportion in three terms, if they fulfil the proportion. \[\frac\alpha\beta=\frac\beta\gamma.\]

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Definitions: 1
Sections: 2

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References

Bibliography

1. Health, T.L.: "The Thirteen Books of Euclid's Elements - With Introduction and Commentary by T. L. Health", Cambridge at the University Press, 1968, Vol 1, 2, 3

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"