Update: 20th February 2008



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485 = IEOU, identical by Gematria with IOUDA and with IESOS - the latter said to be the original spelling of the name of Jesus in Pilate's inscription in the Church of Sta. Croce at Rome. ¢O PanagioV has the same number. The Tetragrammaton, IAOU cited by Clem. Al. is another form of this, having the number 481 which is 37 × 13 the Jewish sacred number. The Jewish cabalists were accustomed to substitute for the Divine Name the word molwObab BAB-SHaLOM = Gate of Salem or Peace (eirhnhV = 381), with the number 381, which is the measure of the circle contained in the square of 485 perimeter, and by Gematria the ramplion of the Persian astronomers.

Adwnai - 866 - is 485 + 381.

485 is notable for the following peculiar powers as a number in the geometrical series and as integrating the roots of 2, 3, and 6.1

(1) 485 = The cube of Seven × Ö2 (343 × 1.4142).
= Four times 70 × Ö3 (280 × 1.7321).
= Nine times 22 × Ö6 (198 × 2.4495).
The last is particularly exact.
(2) 485 = Doubly a Square of the Hypothenuse, since
22² + 1 = 485
17² + 14² = 485.

as the 29th of the series of Hypothenuse squares which are capable of being resolved into two or more pairs of Squares

1. No matter that the calculations may be correct, these discovered correspondences do not have any meaningful significance since any number can be subjected to the same kinds of arithmetic and similar equations derived. The probable only arithmetical significance of the number 485 is that it is removed from the square of 22 by unity. Hebrew cabalists allow differences of unity, which they call ‘colel’, in gematrial sums and 22 is a significant number in the Hebrew cabala being the number of paths in the so-called Tree of Life, a magical symbol in that cabala. Whether significations in the Hebrew cabala meaningfully transfer to the Hellenic is a matter of speculation. Moreover the authors are again presenting virtually random sequences of calculations as series. The term ‘series’ has a strict mathematical definition within which these collections do not fall. - PWS

Investigation of the Cabala.

it appears important.2

There are in the Books of IEOU twenty-eight surviving diagrams of concentric squares of IEOU, with indications of a twenty-ninth, a leaf being lost. There seems ground for supposing that these diagrams may have reference to the system of hypothenuse squares, and the fundamental importance attributed by the old geometers to these squares is well-known and can be readily understood by reference to the early editions of Euclid. They have various geometric uses.

(3) 485 = 20² + 9² + 2². 16² + 15² + 2².
20² + 7² + 6². 15² + 14² + 8².
(4) ³Ö485 = ¼(p × 10) nearly (= 7.857) = 10 × 11/14, which is precisely the old convention.
Note that 7857 = 97 × 81 or (24 + 34) × 34
(5) 485 = (3 + 2) × (24 + 24)

2. It is not clear what the authors meant by “Hypothenuse squares”. Most likely it was ‘Pythagorean Triples’ (the sets of whole numbers which can form lengths of sides of right-angled triangles) since a hypotenuse is solely a property of a right-angled triangle but, however, none of the examples given is a Pythagorean Triple. - PWS


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