| << | Contents | >> |
Clement of Alexandria
Show All Footnotes & Jump to 3337
Introductory Note to Clement of Alexandria
[3327] There is some difficulty in the sentence as it stands. Hervetus omits in his translation the words rendered here, “let it be by all means dissolved.” We have omitted διὰ τούτους, which follows immediately after, but which is generally retained and translated “by these,” i.e., philosophers.
[3328] τῶν λόγων, Sylburgius; τὸν λόγον is the reading of the text.
[3333] Pindar.
Chapter XI.—The Mystical Meanings in the Proportions of Numbers, Geometrical Ratios, and Music.
[3334] Gen. xiv. 14. In Greek numerals.
[3335] The Lord’s sign is the cross, whose form is represented by T; Ιη (the other two letters of τιή, 318) are the first two letters of the name Ἰησοῦς (Jesus).
[3337] The sum of the numbers from 1 to 15 inclusive is 120.
[3338] “Triangular numbers are those which can be disposed in a triangle, as 3 ⊠, 6, etc, being represented by the formula (x2 + x)/2” (Liddell and Scott’s Lexicon). Each side of the triangle of courses contains an equal number of units, the sum of which amounts to the number. [Elucidation VI.]
[3339] This number is called equality, because it is composed of eight numbers, an even number; as fifty-six is called inequality, because it is composed of seven numbers, an odd number.
[3340] The clause within brackets has been suggested by Hervetus to complete the sense.
[3341] That is, 1+3+5+7+11+13+15=120; and 1+3=4+5=9+7=16+9=25+11=36+13=49+15=64, giving us the numbers 4, 9, 16, 25, 36, 49, 64, the squares of 2, 3, 4, 5, 6, 7, 8.
[3342] ἐτερομήκεις, the product of two unequal factors, i.e., 2+4+6+8+10+12+14=56; and 2+4=6=3 x 2, 6+4=10=5 x 2, and so on.
[3343] The cross.
[3345] Ex. xxv. 23. The table is said to be two cubits in length, a cubit in breadth, and a cubit and a half in height; therefore it was six cubits round.
[3347] The three styles of Greek music were the ἐναρμονικόν, διάτονον, and χρωματικόν.
Search Comments
This page has been visited 0451 times.
| << | Contents | >> |
10 per page