He admitted that surveys had been made and that they had shown the apparent discrepancy that I had pointed out, but he explained this ingeniously by a purely Amtorian theory of the relativity of distance, which he proceeded to elucidate.
“A degree is one thousandth part of the circumference of a circle,” he commenced. (This is the Amtorian degree, her savants not having had the advantage of a visible sun to suggest another division of the circumference of a circle as did the Babylonians, who hit upon three hundred sixty as being close enough.) “And no matter what the length of the circumference, it measures just one thousand degrees. The circle which separates Strabol from Trabol is necessarily one thousand degrees in length. You will admit that?”
“Certainly,” I replied.
“Very good! Then, will you admit that the circle which separates Trabol from Karbol measures exactly one thousand degrees?”
I nodded my assent.
“Things which equal the same thing equal each other, do they not? Therefore, the inner and outer boundaries of Trabol are of equal length, and this is true because of the truth of the theory of relativity of distance. The degree is our unit of linear measure. It would be ridiculous to say that the farther one was removed from the center of Amtor the longer the unit of distance became; it only appears to become longer; in relation to the circumference of the circle and in relation to the distance from the center of Amtor it is precisely the same.
“I know,” he admitted, “that on the map it does not appear to be the same, nor do actual surveys indicate that it is the same; but it must be the same, for if it were not, it is obvious that Amtor would be larger around the closer one approached the center and smallest of all at the perimeter, which is so obviously ridiculous as to require no refutation.
“This seeming discrepancy caused the ancients considerable perturbation until about three thousand years ago, when Klufar, the great scientist, expounded the theory of relativity of distance and demonstrated that the real and apparent measurements of distance could be reconciled by multiplying each by the square root of minus one.”
I saw that argument was useless and said no more; there is no use arguing with a man who can multiply anything by the square root of minus one.