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Triangular numbers are literally triangles.
, W. ~% H& k1 B3 E$ N 理解三角形数字的三角关系& x \2 d0 j! Z: l. f% ?3 B# n
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1 C* O Q9 R$ P4 w: l2 K( ~Consider 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.) ]& k# V- R; L; b1 A% A
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。
3 P& C1 n4 C5 B. M& hThe 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:. H' M6 B* I& c1 a$ X8 c U
) V. Q. ^9 I- @# G561 is the triangle of 33- F4 W. B v7 d- K
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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.# e( I1 G) H6 v: J
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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
+ \" _. Q" S/ g+ i0 GKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
5 c9 J% K0 P) e2 Y s( M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 X" d) f/ f1 Z3 \& v* H5 c! x
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.- W0 R$ M5 z0 z( ~/ t& Y6 A
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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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.$ A2 K# u: T) q- q) N$ r2 |7 x! d% r
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)2 r: |4 c$ M( D
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.2 G* K' J# [( u/ h! H7 |% j7 n
1 L5 v) L$ Z# o2 K2 H" O# lGann 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. \; E5 S% ?, O+ s
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
) }: p+ j, H1 w7 ?36也是一个特例,一个数字同时是三角和正方的关系
) n0 h G. V1 g* {8 q jLet's examine the triangular numbers that lead up to 36.' n: ]% Z0 U/ q
1 3 6 10 15 21 28 365 ~% I* _0 g! I6 r
$ w7 A% {( q/ h e C, kAnd the squares5 B6 z# U; D7 g& m( i# n
1 4 9 25 36
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Only 15 and 21 add up to 36, triangles within the square.: [) n" y% I. f0 b* b1 S4 K
只有15和21相加等于36,三角存在于四方中
& ]. L$ u% Y3 u1 t, hThere 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. d8 d. e$ y7 [1 g
Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.7 m( L8 D6 B7 s- y3 U0 |
, I0 \7 I( ]* L# ?' ^ `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., E5 T/ ?8 s1 }4 j
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.3 ~7 X, m4 _, R2 j! O
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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: N5 K1 r- ?$ Y* F) e% ?[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |