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Triangular numbers are literally triangles.
q3 H2 K5 R, E' z6 z 理解三角形数字的三角关系
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, I3 ?9 i$ ]. ^+ kConsider 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.
. ] L' t! [$ n2 [$ z: \ 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。
9 a9 c, X9 I) _3 a1 JThe 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:6 e4 [" H$ _6 h7 c% r2 K$ M( G* P
0 \0 D# ^& u$ Q, E561 is the triangle of 332 m8 Z! N$ ~. E- Y
: v4 b& |: L7 H- @6 O$ 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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Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
9 ]/ h9 B8 D5 j$ \& N0 rKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.% j0 y8 e7 L; B t8 R1 y8 E
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
# a9 f2 \( I; S# L1 Y4 j! U3 XInterestingly, 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.
9 [! X4 P) k/ [1 ^# L6 E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( D' k! M1 f- a, i. w8 I0 R
3 {' Q( d& T, u4 F6 d# ^2 s5 U6 F$ D10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.+ N9 r% q# [ }3 h/ D
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). Z- D3 f. Q& O" h: E
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.
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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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36 is one of the special cases, a number that is both triangular and square.) t! Y3 d4 @! @
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.) j5 ]4 i7 E! C U7 h. k' |: c) W' D
36也是一个特例，一个数字同时是三角和正方的关系
/ m. R: m! ~0 j* t% l$ HLet's examine the triangular numbers that lead up to 36.
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% Z2 Y) K) ]0 B! k; J5 c4 nAnd the squares
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% c( P( @2 E6 |# ]( j! {Only 15 and 21 add up to 36, triangles within the square.5 }5 V" ~* m- ^+ o
只有15和21相加等于36，三角存在于四方中
* G- e# x, q3 M9 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.
% ]( I% B! E5 f! lTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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9 h; `. x# n. K* v$ q: QNumbers 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 r- a$ z* k- n% _
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.
* }) a1 p# _: p9 ^* hThat 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 ] |
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