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Triangular numbers are literally triangles.
理解三角形数字的三角关系
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10
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.
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。
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:
561 is the triangle of 33
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.
Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
Knowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
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
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.
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
10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.
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)
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.
Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.
36 is one of the special cases, a number that is both triangular and square.
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
36也是一个特例，一个数字同时是三角和正方的关系
Let's examine the triangular numbers that lead up to 36.
1 3 6 10 15 21 28 36
And the squares
1 4 9 25 36
Only 15 and 21 add up to 36, triangles within the square.
只有15和21相加等于36，三角存在于四方中
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.
Take a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.
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.
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.
That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )
[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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发表于 2008-7-14 08:16:16
