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- z% K) `, r( MTriangular numbers are literally triangles. V1 ^, {% }* C. s' v, J0 \1 U
理解三角形数字的三角关系7 M4 z' A& n* A- D0 X3 \& c! L
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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./ S1 d! L# X% z, ?" u, v2 u1 t
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。
6 S" l# @+ w8 S p, K% r. y! `: A+ |- 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:0 Y4 t, n" D% p. q6 ?
2 j( \. w* |, R- t' O561 is the triangle of 33- r6 ?$ t4 e+ r8 h H. P2 p! A7 S1 K+ w
! A! f2 w+ r* m5 Q5 aIf 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.% i0 R# Q9 g/ ^" N* @: o' f
( Y& [' _. T/ G1 ?Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
/ f, {1 `. C1 D9 O, Z0 JKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
7 P; G% h8 ]# G' E& q* k+ a) S2 X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
" s+ n2 s/ c: iInterestingly, 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.
. ~1 _4 q' Q! F! j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$ k1 N7 w% g( @& v
& Z( X V& r, H) R% H$ u& p10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.1 y5 U* H1 j& }- ^
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)( l& _1 e: r9 O: E! ?; 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.8 l5 v/ |! P( j# z& O' x4 Z+ B
7 O2 L2 U& z( b. w* U+ A, IGann 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.
6 d, Q( E2 J# a; Q36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.! q% C/ H; N) W& v) a# V
36也是一个特例,一个数字同时是三角和正方的关系
# d5 C; ~0 L' n G' y! RLet's examine the triangular numbers that lead up to 36.+ z; d3 ~" R$ \: N/ X9 {0 P
1 3 6 10 15 21 28 36
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; Z3 P- N% i5 y' n: v ZAnd the squares
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Z. l W* T& jOnly 15 and 21 add up to 36, triangles within the square.
3 N9 S, ^# u8 o8 u, K1 o- X) ~只有15和21相加等于36,三角存在于四方中
9 F* R9 B; }6 \% d4 E1 ?' z$ {There 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 X$ ?* I( B1 O0 z; xTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95." P3 E% G/ k7 T z. q
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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.
& O" e8 M' q% h1 c* j. _5 o& ?" R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." w) }4 _) c5 T6 D D3 I n ~/ ]& Y
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 ] |