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Triangular numbers are literally triangles.
# E5 I q! O3 ?/ }+ g& t* N8 b 理解三角形数字的三角关系( o1 Z) m8 W9 F
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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.
) `' Q+ v3 q5 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。/ y4 {; Q1 H) @: Y
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:2 ]5 n3 H( {9 z
8 D; q# \/ x" f% G) e. O S561 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.
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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. h3 I$ f4 `$ G# V+ ~
Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
* `8 h6 z$ w7 N- q" ^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( ^& k4 F1 k( H" a0 d8 L6 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.* V! V7 D- t1 O& d9 G& T% 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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; |! o9 w/ | A10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.+ a3 @' m2 L" C1 V5 b) @0 K
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)! [" l7 M1 z3 E: l3 u$ [
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.% B; d9 }4 R* y2 s
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Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base." T F5 N0 h- {0 H! x
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36 is one of the special cases, a number that is both triangular and square.
, G' X( S1 _& q36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
& G# x! e5 k y9 Q9 D36也是一个特例，一个数字同时是三角和正方的关系1 L8 w" e" P1 A# p
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.( B, y1 H+ j( e0 B, ]# V
只有15和21相加等于36，三角存在于四方中 A* M" g% |1 S! c9 k) i
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.
8 E) B; I5 y0 S _Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.. m: p) d3 V; f' ?0 S5 N
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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.
, R9 Z1 p; B) y/ Z0 O, q- C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.; |& M% N0 V. O! j# s
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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S/ L+ L" P" H[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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