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" Three numbers may be in proportion when the first is to the second as the second is to the third. "
Robinson's Progressive Practical Arithmetic: Containing the Theory of ... - Page 280
by Horatio Nelson Robinson, Daniel W. Fish - 1871 - 372 pages
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Proceedings, American Philosophical Society (vol. 96, no. 1)

238 pages
...the first exceeds the second by the same amount as the second exceeds the third; the geometric mean when the first is to the second as the second is to the third; the "subcontrary" which we call the "harmonic" when the three terms are such that, by whatever part...
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