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Triangular numbers are literally triangles.0 e0 x2 G7 e( w
理解三角形数字的三角关系2 z9 L, R; S, m# O, ]) |6 z& I
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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.
# H( K7 [2 j9 R) O: F( z0 o) d 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。
; U( `7 M/ H5 k" j5 t( cThe 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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' u) b$ ]* Q# }1 w561 is the triangle of 33
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7 K$ N) O) T0 |9 S& 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 561.7 J( q4 X7 o8 P+ U" e2 k
6 b3 ^2 K" W1 X$ `0 _8 A nFind the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
" P) c& d0 _8 }Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add." d% `' U+ Z% Z. L
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
# l2 u) ^7 H- y2 |. z; F* lInterestingly, 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.
* x; A) W @5 @& r# U8 A- U. s0 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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) I5 Z' a* m% N# G10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.4 h, s" {) `; e4 b1 N3 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)
& v! M( a- x/ v2 ^# LThese 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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" F- }( y8 q1 Y8 CGann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.! D4 D9 k! c$ m3 X1 _) r! U; ?, T
0 h; l7 E6 N3 i0 `" \* A36 is one of the special cases, a number that is both triangular and square.
6 D% F a) z4 ~7 @% ^36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.# i3 _! F% K9 \! C
36也是一个特例，一个数字同时是三角和正方的关系) B+ P7 M) s/ B6 N& n
Let's examine the triangular numbers that lead up to 36.
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And the squares. b i# Z! U2 \
1 4 9 25 36. {) p }& O0 V2 \4 S4 J1 U. j% y/ Y
9 P( ]0 W- t; d, ~4 M, }) \Only 15 and 21 add up to 36, triangles within the square.5 s2 q* v% f M. r! }
只有15和21相加等于36，三角存在于四方中) ?, o( l$ P; I/ Y
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.
" u& ~, u, L9 A6 n4 I* aTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.: k7 T( |6 X8 ]7 C
5 l( b |" r( J5 L5 rNumbers 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.
2 C- x" P) v3 r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 B- p2 M. Q- x" wThat 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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2 {( D! O( M5 ^6 s2 v" Y3 c* i/ |; @[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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