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Triangular numbers are literally triangles./ S" M1 s, W, t5 |: R9 I- R; _/ |% H K
理解三角形数字的三角关系
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- Y& I; b8 ~+ L3 T/ y, lConsider that the progression of lighting of the candles of a Menorah over time results in the same figure as the image presented by a Christmas tree, and that both of these are the essence of the Pythagorean Tetractys.4 v) }3 f: i0 j7 Z
犹太教举行宗教仪式的时候经常把烛台摆成不同级别的三角形态，同时三角形也是圣诞树的形态,都属于毕达哥拉期的数字理论。
8 ^4 v7 ^: I8 FThe genesis of the series in Pythagorean style. is done by adding the numbers. 1 + 2 = 3. 3 + 3 = 6. 6 + 4 = 10. 10 + 5 = 15, etc. One of the examples for which you asked for explanation was:1 `- P/ ~4 |3 R' p1 @# B j
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561 is the triangle of 335 R( @+ q/ q1 a: V
! o" z8 a6 r7 \2 G2 }7 @If you add 1, 2, 3, 4, 5, etc. and keep a running total as explained above, when you reach the 33rd iteration (and have just added 33) your total will be 561.4 o: x w' Q7 n& Z
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Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
4 Y0 Y; ]" d4 B ]) eKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add. ?3 z1 H7 q& b
了解561是33的三角关系，我们有一个小技巧在相加大于三的数字% Y& n5 _% J( D5 }0 T
Interestingly, just as when we divide a geometrical square with a diagonal we get two triangles, when we add two triangular numbers we get a square. For example, 6 + 10 = 16, which is the square of 4.
+ K0 z8 n( \) r有趣的是当我们用对角线分切一个几何正方形，我们可以得到二个三角形,当我们相加二个三角形的数字我们可以得到一个正方形，例如6+10=16，是4的正方形: o. J4 {$ L! ?% A. Z8 ^8 t) Y
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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.1 F$ ]; s! f# ?' I6 V
10是一个扩展的特例，我们可以看到1+3+6=10,(10可以不仅表示数字级别的变化，同时类似于太极中的阴阳点)% } E0 @; Q# d. W- E* m# R
These two examples are most compelling as we see that by understanding this, the squares so commonly focused on can be seen in a different light.0 K0 U1 W9 f2 J9 H2 k& ^
& Q P+ N5 s% ^- M6 nGann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.
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36 is one of the special cases, a number that is both triangular and square.
" {* S! m, z+ S' g* u) m3 o% R36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.2 y: X6 y( Q. c; ?
36也是一个特例，一个数字同时是三角和正方的关系
$ \3 S+ x7 x# @$ J ALet's examine the triangular numbers that lead up to 36.
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5 M0 m: ?- e" ]And the squares! z R) N" Y! W1 N
1 4 9 25 36: U/ H& d+ z) v/ ?. Y4 n: I0 i
5 c( l5 _' x: E3 e8 A' D# VOnly 15 and 21 add up to 36, triangles within the square.8 z' _: t+ x+ E; j, b( k, R' ?: L
只有15和21相加等于36，三角存在于四方中
, B% r, n/ \% F; a. |There are those who dislike esotericism because they only see their belief about what it is. For them, I offer a suggestion of a practical example.5 ?. s$ p/ |* Z2 r9 V( v' b+ q! {
Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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Numbers aspect in the same way as do planets. How many planets? How many numbers? It could be that a belief in a difference between numbers and astrology is but a veil concealing a greater understanding.
! X, W* `2 b5 l, M: G数字现象和行星的运行方式是相同的，多少个行星(9大行星)？多少个数字(1-9)?数字和星象是存在差异的，但隐藏着更深的秘密.0 y! W% O! T1 p7 E8 e& @
That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )1 F2 J+ J" U+ D- C( k o
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[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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