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Clement of Alexandria
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Introductory Note to Clement of Alexandria
[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.
[3348] i.e., of Christ.
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