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What is "circle squared in its failure"?


priestofal
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I have wondered what "circle squared in its failure" is really supposed to mean. It occurs to me that a circle squared would be two circles side-by-side so as to suggest multiplication (there might even be an 'x' off to one side -- blown out in the failure? -- to suggest that possibility). "In its failure" would suggest that the now doubled circle is in fact the doubling of a broken circle, whereby the broken circles might appear as horizontal, upper and lower parentheses. The failure of the circle might allow us to see what's inside and its failure might also suggest the development of two unequal values from what was a single value (instead of 113 being squared, for example, you might get an aborted, split 113, the elements of which are multiplied).

If it were 113 which was multiplied (or squared), you'd get 12769 (the 276 in the middle is suggestive). I also note that the product is divisible only by 1, 113, and itself, of whatever value that knowledge is.

The multiplication value of an "aborted" 113 (24 and 89) is 2136.

The latter would certainly qualify as a failure to square. As to what all this might mean, I can't say, though I am trying to fit it into some other understandings or expectations (one of my vague expectations is that the cipher could be shown to represent the Winged Sun Disk). Anyway, just noodling...


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herupakraath
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'Squaring the circle' has several meanings, the most likely of which in the case of verse III:47 is the attempt at creating a square with the same area as that of a circle, which is impossible, hence the use of the word 'failure' in describing the effort.


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priestofal
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I hadn't read it that way before, but you're right. It could read as failing to square the circle is a key... whatever that particularly means (perhaps forgoing the lust of result).


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k4n3
 k4n3
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"Squaring the circle" might simply mean the division of the circle into 4 equal parts, which in this case failed because the "cross" inside the circle has unequal arms that do not connect perfectly with the circle.

The most interesting, simplest and convincing to me, attempts at solving III.47 riddle is presented here: http://gmkelly.com/ildh_49.html.

Which is even more interesting, and not mentioned in the above link, is that the final solution contains words "AL" and "LA" in the very middle of it. This additionally strengthens the credibility of the final result provided by the author.

So far I haven't seen anything more elegant and simple than the above solution.


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herupakraath
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"k4n3" wrote:
"Squaring the circle" might simply mean the division of the circle into 4 equal parts, which in this case failed because the "cross" inside the circle has unequal arms that do not connect perfectly with the circle.

The fact the two lines within the circle do not extend all the way across it signifies the radius of the circle twice, factors that are required when squaring a circle mathematically; the formula is: R x R x 3.14.

The most interesting, simplest and convincing to me, attempts at solving III.47 riddle is presented here: http://gmkelly.com/ildh_49.html.

I fail to see how you can view that 'solution' as interesting, simple, convincing or as solving anything. My criticisms begin with Kelly's use of Greek gematria in an attempt to solve a riddle comprised of English letters and words; he also fails to utilize the entire line drawn across verse III:47 in the holograph; he also fails address Abrahadabra as a key.

If when attempting to solve any of the alphanumeric riddles in TBOTL, the author of the dis-solution ends up spewing forth a miniature gematria dictionary, it's a sure sign the person hasn't a clue, and is grasping at straws in an attempt to keep from drowning in their own confusion.

Which is even more interesting, and not mentioned in the above link, is that the final solution contains words "AL" and "LA" in the very middle of it. This additionally strengthens the credibility of the final result provided by the author.

To which final part do you refer? The original solution so-called is followed by Addendum: Furthermore: And incidentally: Furthermore: Also; is the final part in their somewhere?

So far I haven't seen anything more elegant and simple than the above solution.

Apparently elegance and simplicity are in the eye of the beholder.

There is a simple solution to verse III:47: it identifies the Child of the Prophet, just as the riddle of verse II:76 does. I would explain more, but at this point in my work it deserves to be published in a complete form; one way or another this will happen within the next few months.


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threefold31
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Dwtw

The problem of squaring the circle is one of the legacies of ancient Greek geometry, so approaching it via the Greek qabalah may prove fruitful. Three keys are mentioned in verse III:47, and are supposed to relate to the 'key of it all', indicating that these three help unravel the whole text of Liber AL and its message.

"Then this line drawn is a key".
The eleven Roman letters touched by the line in the holograph, transliterated into Greek letters:

ST = 6
B = 2
E = 5
T = 300
I = 10
S = 200
A = 1
Y = 400
F = 6
A = 1
Total = 931

931 = O AIWN = The Aeon

It should be obvious how the Aeon is a key to the message of Liber Legis.

"Then this circle squared in its failure is a key also."
Taking the sentence literally, the word 'Key' itself, translated into Greek is KLEIS = 265
This can be the value of the radius of a circle. We can try to 'square the circle', and make a square with an equal area, but we will fail. This failure will give us a result in-between two integers.

A circle with radius 265 has an area of 220,618.344. Taking the square root of this, we have the length of the side of this 'circle squared' = 469.700

469 = NUITh
470 = OU = Not

We are somewhere between Nuit and Negation, or Nothing.

Here is where we tie the keys together. We simply add the two answers and the Greek word for Key to get:

this line drawn = 931
this circle squared = 469
a Key = 265
Total = 1665.

Now consider that 265 is the radius of the circle we tried to 'square'. There is one other important measurement of this circle, i.e., the circumference. We thus have

2 x 265 x Pi = 1665.044

This is the same integer as above!

Thus the circumference of our circle based on the word KLEIS, or Key, is equal to the three keys above. Examining this more closely, we have

1665 = 3 x 555

555 = OUK EIMI = I Am Not

So the circle is saying 'I Am Not' three times over, and trying to square it provides Nuith or Not; and of course "Nothing is a secret key of this Law."

Let's not forget the diameter of this circle = 530 = OU DEMIA = No one, none

If the circumference were exactly 1665, and we divide by exactly 530, we have 3.14150, which is Pi accurate to four decimal places. So this 'key' of 265 has provided us with a very good integer approximation of Pi, which is 1665/530, equivalent to 333/106.

If you check out Mathworld, you will see that this is in fact the next consecutive integer approximation, or 'convergent', after the very famous 22/7. The only other small integer approximation that is better is 355/113. After that, the numbers get quite unwieldy.

http://mathworld.wolfram.com/PiContinuedFraction.html

So in a nutshell, the Greek word for Key happens to have a gematria value that resonates with an integer approximation of Pi, which is the one element that insures that trying to square the circle will end in failure. If this 'circle squared' indeed refers to the classical problem of Greek geometry, then the Greek word for 'Key' helps to unravel it, and provides meaningful words and phrases that further elucidate the meaning of the Law.

Litlluw
RLG


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priestofal
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All interesting, but I still can't help but think that a circle squared would mean a "circle" times a "circle", so if we, say, multiply the degrees of a circle by itself we get 129600, which, since a circle always has 360 degrees, in some sense represents the squaring of the circle. (I'm no mathematician, so feel free to put this down.)

Anyway, thanks, guys, for chiming in. I can't think of anything else on the topic, and when I can't think of anything else I usually hit the EQ-11 generator and while away my time:

circle squared in its failure = 360
failed circle = 163 = space & time, two seven six, the Great Art
God [24] a Circle [89] = 113 = a Triangle

Oh, well... cherry-picking away.

[Whoa! Just saw this on Wikipedia: "129,600 calendar years make up one Cosmic year" in Chinese Astrology.]


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newneubergOuch2
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A circle with a cross in it ( a squared circle) was code in Crowley's diaries for a sexual opus or working.
For another angle.


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threefold31
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"priestofal" wrote:
All interesting, but I still can't help but think that a circle squared would mean a "circle" times a "circle", so if we, say, multiply the degrees of a circle by itself we get 129600, which, since a circle always has 360 degrees, in some sense represents the squaring of the circle. (I'm no mathematician, so feel free to put this down.)

[Whoa! Just saw this on Wikipedia: "129,600 calendar years make up one Cosmic year" in Chinese Astrology.]

Dwtw

One way that this resonates with Liber CCXX is that it contains 1296 different English words. So by lopping off the zeroes, you have 36 x 36 = 1296, thus 'squaring' 36, which itself is the square of 6.

But to use this as a key, one needs to determine where the 'failure' lies.

Litlluw
RLG


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priestofal
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That's awesome info, RLG. Thanks!


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sangewanchuck56
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hello everyone, I just discovered this thread doing some research, so its great to discover this community!

Squaring the circle is one of the most prominent themes in western philosophy, math, and science–and many claimed to be able to "square the circle" all to poor effect with one notable exception, Da Vinci.

Because of this, I do interpret this line in Liber Al Vel Legis to reference the classical, even occult concept.

Da Vinci's "Vitruvian Man" is the squaring of the circle, you can see this in the classic representation, Da Vinci drew a anatomically correct representation of the human form that shows that the human body itself "squares the circle".

Link to image on WikiMedia

This measurement required that the center of the figure whose arms are more circular, that the center is created from the measurement of the penis, while the squaring arms the navel.

Now consider this as a potential occult teaching, a male and female square the circle in their union.

For centuries it was assumed that Da Vinci truly did square the circle, but he didnt. He was however, pretty close. Close enough, that the union of the male and female does indeed resolve this paradox, and the circle represents the womb while the square the phallus.

I dont believe this is the full picture of the verse, but I do believe an important element to be united with other verses for a bigger picture.

Also, 93 🙂


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fraterihsan
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One aspect is in reference to the grid mystery (in the MS) associated with II:76, the other aspect is related to the mystery of the Star Sapphire and the formula of the Tetragrammaton (YHWH/IAO). That's all I'll disclose now.


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