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4 ?& {/ a, r* eTriangular numbers are literally triangles.
+ E5 f& k) i: l# b p C3 N: z V 理解三角形数字的三角关系
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/ Q9 F7 ~; l! S/ T/ Z& D6 t/ GConsider 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( V" H& `# ^) o- Q5 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。
" t C& O- W$ E) g% k! pThe 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:2 ?1 a+ G( F: `& {5 W8 n0 w
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561 is the triangle of 33
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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.: M/ s" H6 x; ^/ I
( e m# X; ]8 fFind the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14( t1 K% d. t# E+ P
Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.0 P" Q W" y5 v2 p2 Y( v7 V
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
7 W6 K! P. |% FInterestingly, 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.
( d; t; I% a* v' 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
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) D2 w) d: Y3 {; U10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.
7 P- C6 K" z. ^1 v10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)
+ J) x2 j" ?* c% N6 ]+ @0 y! `; vThese 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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- i3 p m4 ]. Q1 l- p# g8 eGann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.8 R6 G- _# J% Z
) _1 h8 L- y% [8 c# u0 u36 is one of the special cases, a number that is both triangular and square.
: A( U! J' L3 m6 V( ?36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.$ D i3 m8 m; H- K7 u, R7 W
36也是一个特例，一个数字同时是三角和正方的关系: Y& u+ S+ G- c) B( }' T
Let's examine the triangular numbers that lead up to 36.5 C4 A- r& G, [1 s/ ]
1 3 6 10 15 21 28 365 x& n& o- m- p$ ?& F% f2 u
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And the squares8 c. a4 G7 U* l$ X; c7 a% P& y1 ?
1 4 9 25 36
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. @3 Q6 I( A! i) m9 mOnly 15 and 21 add up to 36, triangles within the square.) ?4 c! f% a" k" Y
只有15和21相加等于36，三角存在于四方中
# M1 ~1 t* C* P6 x$ ~% a. kThere 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' ~- V' S8 E( [' d, y& ITake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.1 ^0 l: m: o# @8 ]& O% a2 ~) F. h0 |
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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.
7 r8 h H, O' a7 _% f3 T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.' c" N. F+ ^* _
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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$ u/ j+ n1 ]. x/ F) Z" g[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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