Kitap 2
1.34
We will now return at once to Hipparchus, and see what comes next. Continuing to palm assumptions of his own [upon Eratosthenes], he goes on to refute, with geometrical accuracy, statements which that author had made in a mere general way. Eratosthenes, he says, estimates that there are 6700 stadia between Babylon and the Caspian Gates, and from Babylon to the frontiers of Carmania and Persia above 9000 stadia; this he supposes to lie in a direct line towards the equinoctial rising,Due east. and perpendicular to the common side of his second and third sections. Thus, according to his plan, we should have a right-angled triangle, with the right angle next to the frontiers of Carmania, and its hypotenuse less than one of the sides about the right angle! Consequently Persia should be included in the second section.The following is a Resumé of the argument of Hipparchus, The hypotenuse of the supposed triangle, or the line drawn from Babylon to the Caspian Gates being only 6700 stadia, would be necessarily shorter than either of the other sides, since the line from Babylon to the frontiers of Carmania is estimated by Eratosthenes at 9170, and that from the frontiers of Carmania to the Caspian Gates above 9000 stadia. The frontiers of Carmania would thus be east of the Caspian Gates, and Persia would consequently be comprised, not in the third, but in the second section of Eratosthenes, being east of the meridian of the Caspian Gates, which was the boundary of the two sections. Strabo, in the text, points out the falsity of this argument.
