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Triangular numbers are literally triangles.
. S9 G* |8 f+ {/ U' | 理解三角形数字的三角关系8 ^0 X0 U$ _. x8 k& A
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/ U2 c! \( B0 C2 yConsider that the progression of lighting of the candles of a Menorah over time results in the same figure as the image presented by a Christmas tree, and that both of these are the essence of the Pythagorean Tetractys.
* v! ~* Z) C9 @! Y7 @% @4 | X 犹太教举行宗教仪式的时候经常把烛台摆成不同级别的三角形态，同时三角形也是圣诞树的形态,都属于毕达哥拉期的数字理论。
5 v1 [% ^, p$ p2 q7 ?& UThe genesis of the series in Pythagorean style. is done by adding the numbers. 1 + 2 = 3. 3 + 3 = 6. 6 + 4 = 10. 10 + 5 = 15, etc. One of the examples for which you asked for explanation was:/ S, ]) n. e% Q2 x- p
- l# Q& \; X6 q, q( q. ], r561 is the triangle of 33
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If you add 1, 2, 3, 4, 5, etc. and keep a running total as explained above, when you reach the 33rd iteration (and have just added 33) your total will be 561., _* v6 E! w" i8 @ \) P# U
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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
" g) o8 G) w+ ~# K8 r5 t7 ^Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
. ~! m2 f# }+ V- n4 d/ e. W8 ^. q0 H' J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- k( @ d; V) y
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 4.8 _( q w4 ?: H
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 o, u$ v9 X, i: t
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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.
: c Q/ P% g& o$ |$ A7 N$ \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). b+ c. ]& q) [ p! @- c
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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Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.
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6 {6 }; l/ M* q5 d36 is one of the special cases, a number that is both triangular and square.
; M9 K6 b1 [/ n+ i1 v) y/ N36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time., c8 F! U' J. L3 a& ?; l+ b
36也是一个特例，一个数字同时是三角和正方的关系0 Q8 o" A# |5 l$ G: B
Let's examine the triangular numbers that lead up to 36.! [$ e2 Y3 H0 ^
1 3 6 10 15 21 28 36' b% O j$ f5 Z8 C: H4 ]$ M
; |' Z, n$ v/ H& y# ?6 jAnd the squares+ y$ x, O0 C+ b
1 4 9 25 36
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# ^7 b$ C3 f4 D% COnly 15 and 21 add up to 36, triangles within the square.# p& O$ |" E6 R
只有15和21相加等于36，三角存在于四方中" d: Q+ U( D+ w* G) n6 \) q6 X0 z
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.
7 o% g# o/ ?- J+ hTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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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.
, t0 w) g$ q1 @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.
& \ x0 w% }' F/ U. ^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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[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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