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Triangular numbers are literally triangles.2 x8 P1 H+ U5 Z- W! @
理解三角形数字的三角关系% ^# ?8 o1 c. Z/ E) o6 v9 {+ v
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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.; W6 n4 S' V; |
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。: r- P0 l6 p9 y9 g
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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/ ?3 H7 y% n/ r# \' P. R1 bIf 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.
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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
3 }& r( F; E5 D& _Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
( f: T6 S# w4 `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
( P& x% C, p, v [- `, w q+ BInterestingly, 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 4.2 j& J0 q. G( X' E' C( f' 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( ?, `: S- @1 ~# d$ Y/ ]
- ^- j8 `$ @. Q4 V, w0 t# V4 Y10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10." @ Y' j9 G1 b6 S( Q
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)% C7 ]: q2 W% z! M5 s
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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0 E6 N$ K4 Z1 t6 ^" M4 ]Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.
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2 s% x- y) z! d* `* ^36 is one of the special cases, a number that is both triangular and square.
: |4 q5 c6 b5 P! t+ H36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.( Z7 D/ O# z4 t/ o' e% N! s
36也是一个特例，一个数字同时是三角和正方的关系
# [' }; ]" C+ LLet's examine the triangular numbers that lead up to 36.
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And the squares
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Only 15 and 21 add up to 36, triangles within the square.
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. I6 |/ z% Z8 c4 N @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.
* K- o% {0 A4 _; r( FTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.1 o- _" o7 y; f8 [: h' j2 U% S
# r9 ^8 C! l: cNumbers 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.
( b& Q$ ?/ V* C1 [# _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 [+ P0 Q B3 kThat 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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, i6 H1 U# t* N9 Q* Q[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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