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2 m/ n% b8 }$ jTriangular numbers are literally triangles.
% ^9 R! X/ O/ x, l' X 理解三角形数字的三角关系
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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.( k# r3 H5 S7 P$ } w
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。) O3 ^; G- y$ ~+ d5 r/ x0 c# V
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:
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' U& [. Q* z) m0 h* O561 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.
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7 v8 u& l6 k* F- ^" rFind the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
1 L* S! E$ a- [6 iKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add. ]" O( d3 f, ~5 @
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6 m; z3 _: }' O# z D
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.$ S# Z) |( |. g0 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! U! F R, B, B6 `, U
$ c0 O1 Q. X* E& s- z10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.& N* o( j8 B) V( X4 P7 [: C9 h
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): x$ o- X2 ?, h* d
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.4 W0 x; o9 k' U0 [- S
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Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.( K! Q4 i. q* j% F
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36 is one of the special cases, a number that is both triangular and square.
6 l" p! |) G) N2 j36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
& |" @7 B. `/ g/ N8 ~* x& ^36也是一个特例，一个数字同时是三角和正方的关系9 {; ^8 i" o" X+ K
Let's examine the triangular numbers that lead up to 36.
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And the squares0 Y7 X% y( t9 Q) g# J5 _
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Only 15 and 21 add up to 36, triangles within the square.
' w8 p/ @3 o) D' y% X5 {只有15和21相加等于36，三角存在于四方中
8 j3 Q4 l9 U) |5 A% q: o4 e7 z( DThere 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.
4 n. |# _9 r' y# }4 M! U% iTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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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.( I! j3 z7 B4 W9 [3 ~
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.7 ~( x$ {5 l3 S) 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. : )
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- S- J0 K8 I1 C& Z' B3 b[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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