Page:Arrian's Voyage Round the Euxine Sea Translated.djvu/148

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Having thus, I hope, ettled the length of the Roman, it remains to peak of the Greek foot, and the proportion which thee bear to one another.

This is computed by Greaves to be in the ratio of 25 to 24, the Greek foot exceeding the Roman in that proportion, which is the ame within a very minute fractional part with that of 1007.29 to 967; and this proportion has been adopted by Arbuthnot, and indeed, with an almot imperceptible difference, by Dr. Reinhold Forter.

Our knowledge of this proportion is deduced from V

1 . The difference of number between the Greek and the Roman feet, aid to be contained in the Radium, there being 600 Greek feet, as we have already een, and 025 Roman feet, which, if we uppoe the tadium to be of an equal length in both computations, makes the Greek foot to be longer than the Roman, in the ratio of 25 to 24.

2. The paage -of Polybius cited by Strabo, and mentioned above, which eems to give the ame proportion.

3. The proportion of the Philxterian foot, which is decribed to be $1⁄600$ part of a Radium, and appears to have been the Greek foot, and was, as Salmaius ays it down $1⁄14$ part longer than the Roman foot, or pes monetalis. 4. From