Stern notes that 1 Kings 7:23 seems to say that π = 3, which we know to be incorrect. But in that verse, the word qav has two forms: a ketiv (the one that appears in Torah scrolls) and a qere (the one that should be pronounced when chanting from a Torah scroll). Both forms appear in all (or at least most) printed Hebrew Bibles. Each letter of the Hebrew alphabet has a numerical value; the numerical value of a word--its gematria--is the sum of the value of its letters. (There's no subtraction like there is in Roman numerals.) Stern points out that the gematria of the ketiv is 111, while that of the qere is 106. If we multiply 3 x 111/106 and round to seven figures, we get 3.141509, which "differs from the true value of π by less than 10-4 which is remarkable. In view of this, it might be suggested that this peculiar spelling is of more significance than a cursory reading might have suggested."As a matter of principle, I agree with all statements that include "it might be suggested."
Monday, July 04, 2016
gematriatical approximation of π
Those who have been following the interesting discussion of Maimonides, the rabbis, and π at R' Natan Slifkin's Rationalist Judaism blog may or may not find this interesting, as may (or may not) those who haven't. Let's take a look at M. D. Stern's "A Remarkable Approximation to π," Mathematical Gazette, 69, no. 218 (1985): 218-19.