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60stars astrology
60stars Astrology Season 6
English version
By Tokyo-Tanuki
品(shi-na) 60stars Astrology
Season 6 mini-appendix4
"Angles, Lines and 7"
① A heptagon is so cool!
1. Well, last time, we used (√3 + √7)/2 to come up with a right triangle, in which the right angle part can be expressed by the ratio "7".
Of course, if we add Φ squared and 1/Φ squared, the total is 7, so we can also have a right triangle whose right-angled part can be expressed by the ratio "7" .
............Why did people in the past want to indicate right angles with “7”?
Of course, if we add Φ squared and 1/Φ squared, the total is 7, so we can also have a right triangle whose right-angled part can be expressed by the ratio "7" .
............Why did people in the past want to indicate right angles with “7”?
I don't know, but I guess because "7" is a sacred number.
2. To express a right angle by the ratio "7" is,
2. To express a right angle by the ratio "7" is,
90 degrees is divided into 7 segments.
So one segment would be,
90° divided by 7 = 12.857142857142857...... (Hereafter ...1428574 Repeat) °
This is a sequence of numbers 142857.... which is a sequence of numbers that goes on forever, so it is Mr. Ramanujan's RJ number that I wrote before => article
"1RJ" = 90° / 7 = 12.857142857142857...... °
Then, it is indeed useful when measuring heptagonal angles.
As mentioned in the illustration at the top this blog post, one of the heptagon's angles is,
As mentioned in the illustration at the top this blog post, one of the heptagon's angles is,
900 degrees / 7 = 900/7, so it can be shown as “10 RJ.”
Also, as shown in the illustration, the angles formed by the diagonals of a heptagon or the intersection of various lines can also be shown as "RJ".
Triangle with the ratio of angles RJ"1-6-7" (orange) and RJ"2-5-7" (yellow) can also be shown immediately.
Well, "１RJ=90/7" is very convenient when measuring angles within a heptagon!
3. But seeing how people in the past were so particular about “7,” I think they were probably particular about "7" or "90/7" not only for angles, but also for lines.
As the lengths of the sides of a pyramid are expressed in terms of Φ or integer ratios, I think that there are some pyramids or buildings whose lines are expressed in terms of 7 or RJ, or in other words, 90/7.
.....There are so many neat formulas for the regular heptagon that relate the “7” to the length of the lines.
Well, "１RJ=90/7" is very convenient when measuring angles within a heptagon!
3. But seeing how people in the past were so particular about “7,” I think they were probably particular about "7" or "90/7" not only for angles, but also for lines.
As the lengths of the sides of a pyramid are expressed in terms of Φ or integer ratios, I think that there are some pyramids or buildings whose lines are expressed in terms of 7 or RJ, or in other words, 90/7.
.....There are so many neat formulas for the regular heptagon that relate the “7” to the length of the lines.
(Fig.1)
So, Tanu-chan definitely thinks that people in the past tried to show the sides of a heptagon using 7 or 90/7.
.......Of course, this is just Tanu-chan's delusion!
But, if so, which side of the heptagon, or which length of the heptagon, was used as the standard?
I have been thinking about it all week of New Year's and can't figure it out, and I'm getting more and more giddy 🌀.
.......Of course, this is just Tanu-chan's delusion!
But, if so, which side of the heptagon, or which length of the heptagon, was used as the standard?
I have been thinking about it all week of New Year's and can't figure it out, and I'm getting more and more giddy 🌀.
If I find out something else sometime, I'll write about it.
....If anyone knows anything, please let me know!
That's all for today.
That's all for today.
Tanu-chan💓 TOKYO-TANUKI💛
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