Note 222 — BOOK XXXIV
Evelyn S. (Evelyn Shirley) Shuckburgh translation
Polybius proves his point by the demonstration of the proposition “The square of the 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.]