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1 Polybius proves his point by the demonstration of the proposition "The square of hypotenuse of a right-angled-triangle is equal to the squares of the sides containing the right angle."
By applying this principle AD = 7745.9 . . and DC = 11019.9 . . . and the whole AC = 18765.8: whereas AB + BC (i.e. the coasting voyage) = 19200 stades (a difference of 434.2 stades, not 500). Add to this the 3000 from the Peloponnese to the Straits, the total coast voyage is 22,200 stades, as against Dicaearchus's 10,000.Robert B. Strassler provided support for entering this text.
This text was converted to electronic form by professional data entry, Running heads in Walbank's reprint have been converted to chapter titles, and titles have been added, usually from the marginal notes, for chapters without them. Some pages have notes of the form "line X: A should read B," which I believe are Walbank's; they have "resp=fww". Summaries of missing sections are encoded as inline notes with "resp=ess." A very few unidentified quotations are marked in notes with "resp=aem" (the markup editor) Citations are marked using Perseus abbreviations. and has been proofread to a high level of accuracy.
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