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Triangular numbers are literally triangles.
7 R. E5 U5 k1 I" X, t 理解三角形数字的三角关系# p: i0 V6 ~3 ] G* K! N
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) f& C9 Y. a. a- d( w/ QConsider 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.
# ?- M4 U3 H O5 l 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。5 Y7 N9 U) U$ @* X. x8 I1 Q$ S
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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561 is the triangle of 33
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/ A7 H& A R9 T- ~8 G+ I# R, dIf 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.# \0 N0 ~7 ^$ U6 x0 Q) y0 S
7 r% b0 s$ t/ k8 b% ~Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:149 f4 J- c3 X f. ?% D9 ?
Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add., ?) F, h! f" U, W4 v, c
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5 S6 w- R9 p( z! Q5 d
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.$ \5 x* X& B0 n4 U/ K+ D
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
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$ Z) H' B8 S1 M! f) \10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.- @4 ]. G3 r: n3 p& ~$ ` @
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)
! T) J2 G0 Q8 ~) D2 J; y" {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 o3 H3 S* ] @. V( d
, C" r- [7 f5 x8 _( x: b" kGann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.; g: n# K6 q* q5 z, T
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36 is one of the special cases, a number that is both triangular and square.
$ W, G4 b( r5 ~9 N& S36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.( k' L6 z2 g1 z3 M4 z% M1 P
36也是一个特例，一个数字同时是三角和正方的关系2 C( w- n- }. l, J$ _; Y. Q
Let's examine the triangular numbers that lead up to 36.9 \- p9 g" y: \6 t
1 3 6 10 15 21 28 36
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7 J# y/ n& O/ C; pAnd the squares) L% _+ ]8 Z7 z" j/ c* S
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Only 15 and 21 add up to 36, triangles within the square.
, f4 S8 j$ ~) m7 T: `! _4 A. e( s只有15和21相加等于36，三角存在于四方中0 |7 c, k4 A9 f, k( q; B$ b: u
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.7 V: n# t- h8 @! Y7 w7 K' ~* W. G
Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.$ |3 Q4 @, x* J% x1 X
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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.: s w# E- x- j( `) l8 k
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 K, V+ m! o4 B/ g2 ~
That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )# m" I9 i5 d+ W
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[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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