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Triangular numbers are literally triangles.
/ }! ~3 s- h9 x( V) n1 C 理解三角形数字的三角关系
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/ z' Y0 \* k( ?- V+ ?3 F5 o1 MConsider 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.0 d0 O6 d2 j, a% P
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。
2 I2 U+ C4 }# s, y4 K4 f7 `The 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:
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5 i9 v7 l4 {7 C- @) A h561 is the triangle of 33
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/ @ } ]4 ~0 ?" z2 k+ M+ sIf 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 561.6 J! S7 L/ A: e1 ]8 s# c% Z+ z7 b9 _
3 l! F% a1 u" @3 N. B6 sFind the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
$ ~$ R8 V- e, L% wKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
5 q) I' S7 s# m0 H6 U: \: A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8 m. s! P9 T; q0 p Z* q
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.( {" h! R% U4 R" G2 g9 u4 L8 R6 f
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9 B( l) y4 R. ]6 p' T3 |/ o
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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.
& a2 x7 \. Y& Z! j/ S10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)0 e1 |! p9 n0 ]1 I
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.
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Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.7 t" o) |* Y- i- [7 F6 E* o; X
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36 is one of the special cases, a number that is both triangular and square.& d! E5 G2 _; ?3 a d; }6 {
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
9 Q' y9 {! c7 n3 V7 f7 z36也是一个特例,一个数字同时是三角和正方的关系: v/ m9 p5 S2 F# p
Let's examine the triangular numbers that lead up to 36.
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Only 15 and 21 add up to 36, triangles within the square.
; h' v: [1 C* M C: d6 n, H. j3 J) T: s只有15和21相加等于36,三角存在于四方中9 X& Z; m7 V& W5 f3 {
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.; Y3 l. K. z) F" r$ Y
Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.3 a$ M# G. u. a( b8 t4 N* B% u
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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.
4 y* k: m/ ~7 q1 m; ?' u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.7 H1 X7 N% V3 H0 g# U5 k( {* [: t) A
That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )
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[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |