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. m) S2 e' M2 ]7 ]Triangular numbers are literally triangles.: ]3 K% y$ a7 i: ^5 B
理解三角形数字的三角关系
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# c0 |& f4 ?1 l- \$ VConsider 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.
# Z" [ S/ V! l" v( U 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。" f: N1 n' `8 t( p
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 338 e- W, j8 ]- O' X. k. ]
, o% Q" A# O$ R, W) ^6 MIf 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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. o( ?: s7 |7 a9 e7 h% p/ A& Z: wFind the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14$ k1 Z7 @ R9 q' r: s
Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.3 B( a6 H+ w% l' I, Y5 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9 u2 M+ v# [4 `2 k/ x2 s9 M
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.
5 q# l7 ], Y+ y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: ^! ?: l8 I; V- M* X
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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.5 s* {& q9 e- a4 n C; G. Z
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)* Y' n/ C2 l1 ~6 n% C, p
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. D8 X7 d" n! |( m/ @* |- M
- C8 `+ N ]) i6 T9 ?$ z! S1 DGann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.$ t9 H2 _* J+ z4 Q, H- N/ F
+ E2 x' e3 l7 L* c' A. D2 t36 is one of the special cases, a number that is both triangular and square.
X# {4 m4 D' \' R) O6 X7 h36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.8 |4 U: I6 `% \
36也是一个特例，一个数字同时是三角和正方的关系
7 i6 B: q" T4 }7 I, y. Q/ V9 ILet's examine the triangular numbers that lead up to 36.; G' Q8 a! @+ ], y6 m4 l d
1 3 6 10 15 21 28 36
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8 j1 `$ L- E6 c" b1 u7 M! ?7 q. oAnd the squares8 o8 d) L& A" F
1 4 9 25 36
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Only 15 and 21 add up to 36, triangles within the square.0 U: m; k( N. A9 Y' P& Z
只有15和21相加等于36，三角存在于四方中( O- S2 X) b# o' M) F }
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.
# F' k7 w# q- l( ]/ G- p$ lTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.' ^5 a& J5 l0 C+ B5 |. O
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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.
( X0 E8 G3 @* d5 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./ E+ U8 q: S, }2 w$ t
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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