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Triangular numbers are literally triangles.
1 d& ?. m% `& s+ r% a$ a 理解三角形数字的三角关系8 a3 R" W$ [* v+ M$ G- r% O/ q
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/ g; J/ E0 I. r1 GConsider 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.; O4 x% c* z ?2 x0 M; o+ m
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。
7 `4 @! O) e J1 v5 ~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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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./ T, |! ~. Q# t0 ^7 I h9 q
j- [2 Q0 V5 g7 E# \5 cFind the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
: ^2 n5 u( J( w- e9 n9 IKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.& r# ?& D. R1 X4 }0 Y7 u
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
2 c! H# @3 Z" H9 W/ x* fInterestingly, 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.
: I7 c5 ^" x" U5 L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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; F7 ~ K. P: Y; B, R2 p, {3 `2 ?10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.
' @; Q3 E6 N7 l( ]( K10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)
; [1 V/ A: @6 ~' O7 O9 vThese 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., C6 }* R) U0 v8 X8 D; @. q
9 [3 R R b- ^& G( k O7 Z( K% S9 h36 is one of the special cases, a number that is both triangular and square.
8 t8 z. D$ \* N+ X0 G# T* L% {36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
e7 R1 Q8 m1 _& H6 w/ a36也是一个特例，一个数字同时是三角和正方的关系. h$ Q+ U a5 w6 i0 u
Let'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./ N" G; S$ H& u4 o6 G
只有15和21相加等于36，三角存在于四方中% Q) j) ]8 F: g" ~6 R* T" l
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.
6 m* U$ g Z& R+ _+ K" c) GTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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- a" J; p1 z: b! l0 ]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.
- K" I A' [- Y# B. G- \& N+ r, x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 O) o; ]' H& V5 l5 Y
That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )7 N$ R7 e0 I. g$ Q
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[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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