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" }& u/ @( t* i2 ]# p% y9 HTriangular numbers are literally triangles.
, D. \- q# e9 ~6 y! @8 L E 理解三角形数字的三角关系
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8 ] l6 b. o' b' T4 B3 O( K8 T+ 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.
9 G8 a) q) A" |" u0 Q0 Q 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。1 y0 z* T: l. b* q/ P7 `. F+ ]' ]
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:/ c; b, p/ m* ?* m
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561 is the triangle of 33: J. F& s: D( H6 p+ g
3 w2 Q0 s! \# w% |+ b4 eIf 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.) n& y+ J* G+ f' b/ |# }, k& I
; ^( D1 T7 ]- O |Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
& Z+ f; N1 |0 ]+ q1 V( ]Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.# Y# [$ O% @# u0 g0 S# Q9 `. @
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
( E0 Z8 B% U, u1 V7 @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.! _3 w8 N; |$ u( H; P
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9 p. i& t- a( _
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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10., X; Y; R- G) r& d; _
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+ n+ Y0 a9 ~1 D" y' N
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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. H7 v5 c- `# mGann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.
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36 is one of the special cases, a number that is both triangular and square.
! ^/ {+ s: s, Y. r" ~36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
8 S# X2 J/ D0 X' Y& ^36也是一个特例，一个数字同时是三角和正方的关系1 |* B4 [( i! W" W5 B5 S/ b
Let's examine the triangular numbers that lead up to 36.1 D: p' d/ F* J
1 3 6 10 15 21 28 36
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And the squares
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[- m0 y* o" C* [Only 15 and 21 add up to 36, triangles within the square.
# U& D' h) \3 E: @7 D% V只有15和21相加等于36，三角存在于四方中
- h0 `2 j) N4 ` z% U o- C. I& n( k4 JThere 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.
f7 ^+ e, I( X% s/ w5 iTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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. r; @# r3 f" O" {: \0 wNumbers 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.
; O2 ?4 i$ C- i2 @9 B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." P9 b8 o R) ?3 L$ R. `$ y; l R
That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )6 J3 b+ k3 |6 Y9 J
9 O, `5 b. x8 `: {) Z5 E[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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