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Triangular numbers are literally triangles.
/ n' p, M" D( j7 l 理解三角形数字的三角关系3 C% J4 o/ J- x2 r
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) C! e& f- |$ T1 F! x* Y1 OConsider 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.
" @4 a1 E1 e" @0 K/ ~6 n9 S 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。
* S, C5 `! |* i3 k& qThe 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:8 h4 d7 ~3 q" x% K( C8 t3 f; z
# T" P& P* o3 x1 ]1 }5 {" J561 is the triangle of 33
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7 K( d" a5 e3 A5 SIf 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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p* ~* h: c& ^Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
) ]! Q0 Z( r$ nKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
2 F& u9 W( i2 w' _' N9 M( 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( n" S7 R/ X) {7 _3 L3 V9 b2 S3 R2 G
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.
: M1 ]4 Y/ C' V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+ w$ v$ `/ l2 D+ j
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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.3 O6 W& ?. F3 p
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)2 K. _" H% G1 K' L: r
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.8 P* _" f& l, E5 D
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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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' @" K' H* ^$ Z2 e$ ?+ O36 is one of the special cases, a number that is both triangular and square.. l+ m1 y! j& P! R3 E" ~! T- c1 i! z# i
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
& Q ]* Y# |( g36也是一个特例,一个数字同时是三角和正方的关系
7 I; d0 H4 M6 E4 _# M2 j: cLet's examine the triangular numbers that lead up to 36., I! T2 Z' _& ]
1 3 6 10 15 21 28 36
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- l# l5 C l. HAnd the squares
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" ? a* }4 o* K4 W: L3 v. sOnly 15 and 21 add up to 36, triangles within the square.
- |8 k- v4 y: A+ b& Q+ D5 \: b) t7 }只有15和21相加等于36,三角存在于四方中
6 \1 `- O" o- r4 f- A4 N5 x/ qThere 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.$ ?6 @# r# Z2 ^% t
Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.8 [ v/ ~. r; A3 i' M0 |2 S
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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.( a- H, a" o: H( Q! A8 A. O/ H& ^
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.. f8 ~7 u+ L" z( i- e7 \& E
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 ] |