转帖- s" j1 F, z% S1 c! t- a1 U- H% h3 j
, z/ R' G+ p/ L5 y- b. v- QTriangular numbers are literally triangles.
: n' Z. G v; p 理解三角形数字的三角关系
) R. N5 g1 |0 M* F& S5 o。
# }9 i! H0 D8 F: t7 F7 d" G1 q) }# u9 s7 D0 ?2 m4 N4 s
m8 ~( g& j) d, g: o
。$ t2 X* T; A; e6 A% h
。。
/ c2 P5 M6 L. O- a3( j# N4 t/ n9 E q
。( L3 V# J C; }+ {+ @9 y1 P2 V" t
。。
5 r9 {* `; D# ^8 B# b; j。。。4 N. I& Y( M* P
68 W, `/ V! o3 y t# z& L
。
1 W( i) c* ^% ^. }8 Q8 e 。。。$ B; D" T D: M
。。。。0 z$ S) h, F o
。。。。。
2 {; c8 K4 q' y1 I5 F# c10
1 o7 D5 C$ }$ o+ y( O
5 M1 H* F( X; e- _/ a* mConsider 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.
]8 R4 c6 y s. t$ E+ V H9 \" C2 h+ p 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。 y+ x- a. Y$ f f, o
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:! M2 U L, ^+ z f# q/ A
* ~% D4 C' I$ ]: T( X$ e561 is the triangle of 33
* s4 a4 D& M9 l9 \1 H) k+ L# H5 K! i6 @) L
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.% V. b% a: _5 E8 j5 A, y* J
$ d- M, _( L+ x' \3 X' S! Z5 U6 yFind the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14- o: [: A2 U, {
Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
6 o1 G' s& C0 D' B8 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: L$ ]% |: p: E/ O: n7 O
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.
4 V6 I+ T! l2 t3 `- E3 T _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
. k y, o4 d: E1 o! r0 n' D" x% s9 I# B O7 h
10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.; m7 `7 H8 c$ b# p' c
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)' J3 ?* I4 x! n7 t3 d4 s! I
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.
. I N' n$ x. O0 ^4 n8 z( Z8 [" l+ i8 f) ~
Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.- R& {5 N1 i2 c- t
. b3 Z* D4 P6 U: ^( I" P36 is one of the special cases, a number that is both triangular and square.* N( N$ N Z! L6 ~4 I8 ~/ O' U3 f# f
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
* [, w1 y3 `( S9 k/ N: |# A) I36也是一个特例,一个数字同时是三角和正方的关系
1 l. r, m0 z5 ?! ~; {% t) NLet's examine the triangular numbers that lead up to 36.; u. Y2 I& D) H. Q0 c8 I! o
1 3 6 10 15 21 28 36- G. X( H% i; a( N- G/ W
: A/ `/ ~; L* z$ J
And the squares* X! o. O6 _! j+ G5 C
1 4 9 25 36
% ~! |# r; M( w# M9 b. d
" i! a2 i, ?' b5 yOnly 15 and 21 add up to 36, triangles within the square. Q8 V* K6 n& n+ ` \; Q
只有15和21相加等于36,三角存在于四方中
) o+ ~& a9 E6 A2 `3 b6 BThere 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.
) v1 Y2 i2 U1 I% v8 v9 j! i7 _Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
1 q$ k7 W( ?+ q' S0 ?- K
h* {) s( L T& W- L. o9 ~" UNumbers 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.
7 h; D# h# T9 p; V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.
" R: K$ {4 |( BThat wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : ); \* h% e% r/ N
* J+ N& ~: ~7 }* ` V1 a[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |