π: A Line of Thirty Cubits Going all Around

by tillerofthesoil

hiram_allas_salomon_temppeli_brazen_sea_574“’Whatever has a circumference of three handspans is one handspan in diameter’ (Mishnah). Is it so? Rabbi Yoḥanan said: The verse says: And he made the cast metal sea ten cubits from edge to edge, circular all around, and five cubits in height and a line of thirty cubits going all around (1 Kings 7:23). But surely there was its brim? Rav Papa replied: Its brim, [was merely] like the petal of a lily, as is written: its thickness was a handspan, and its rim like the design of a cup’s rim, blossom and lily, two thousand bats did it hold (ibid., 26) [the bat is a relatively large unit of liquid measure, but the precise quantity is uncertain]. But there was [still] a fraction at least?—when it was reckoned it was that of the inner circumference [this is the only instance where a doubt is raised in the Talmud in connection with a mathematical statement, proving that the Rabbis were well aware of a more exact ratio between the diameter and circumference; the ratio of 1:3 was accepted by the Rabbis simply as a workable number for religious purposes, cf. BT Eruvin 76a; Sukkah 7b]” (BT Eruvin 14a).

“Rabbi Abba opened, saying, ‘He made the sea (1 Kings 7:23), and it is written: Standing upon twelve oxen: three facing north, three facing west, three facing south, and three facing east, with the sea set upon them above… (ibid., 25), and it is written: the twelve oxen underneath the sea (ibid., 44). Standing upon twelve oxen—certainly so! For this sea [Shekhinah] is arrayed by twelve in two worlds: by twelve above, appointed by chariots; by twelve below, twelve tribes” (Zohar 1:241a).