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Triangular numbers are literally triangles.1 a6 h: k3 E; \( R- ~/ Q
理解三角形数字的三角关系
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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.
, D9 S- ]1 f/ P# f 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。
; A" H% c2 X5 y O7 |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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% [" e+ W+ z, P: _) D1 o, @561 is the triangle of 330 d5 S! V1 [. C+ e( c
T7 i; E! D1 b# x" R5 F: @& B5 |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.* p1 R; V; |2 E/ ^2 v
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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
. e* S! F+ C) o4 I' o. ^# sKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.0 l" g" z3 h% p
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# r/ M( A0 F! F
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.
, P# D. x$ G5 t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.
g0 }8 l/ i- D8 t0 w+ |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)
. V5 K, g2 o9 {+ {3 @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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5 a; c, L5 _0 H* [0 bGann 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.2 T, t' L0 ~' ]4 Q( Q. m. l
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
9 K! q8 a! Z2 s6 j3 P36也是一个特例，一个数字同时是三角和正方的关系2 ?/ ~# u( i) u' h! O( x+ T
Let's examine the triangular numbers that lead up to 36.
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4 j, y4 X1 Y2 G/ T8 |; b2 z3 A. uAnd the squares
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Only 15 and 21 add up to 36, triangles within the square.% ~( r' x5 _2 d- E
只有15和21相加等于36，三角存在于四方中3 ?7 t7 d7 z6 d' F$ m7 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.
3 k3 Y1 H2 L6 aTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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. A9 N' i: K( i1 f; ^2 ]( X _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.
% J" ~, U- o2 b9 T! {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.
5 k9 t) R8 T [+ n" \$ B* bThat wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )7 ?! S2 O" c% F- i, H
: F# e7 C, s3 ^; v* T p9 w+ c" z$ p[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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