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Reply  Message 1 of 540 on the subject 
From: BARILOCHENSE6999  (Original message) Sent: 14/09/2020 13:33



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Reply  Message 526 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 03/09/2022 00:13
Harmonics Great Pyramid Timing & Proportions - YouTube

Reply  Message 527 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 03/09/2022 00:36

Pyramids and the meter

Belgian television showed the film The Revelation of the Pyramids. It contains an intriguing suggestion for a mathematical relationship. Let us debunk it, though keep the intrigue.

I have three reasons to look into this. The first reason is the earlier weblog on the use of ‘archi’ Θ = 2 π = 6.283185307… rather than π as the key mathematical concept for the measurement of the circle. Other people suggest ‘tau’ τ but that looks too much like the radius and thus will cause much confusion in the classroom. The second reason is the earlier weblog on the mathematics of Jesus. Since the holy family fled to Egypt there is ample reason to look what was happening there. The third reason is that the film suggests that there was an ancient advanced civilisation. Since we may all be disappointed about how we ourselves are doing as a civilisation, it would be great when we could discover that others in the past have been doing much better.

We will also use ‘phi’ φ = 1.618033989… or the golden ratio. This has the property that φ2 = 1 + φ, or alternatively that φ = 1 / φ + 1. It allows a particular interesting application of the Pythagorean Theorem. A right angled triangle with base a = 1 and height b = √φ generates a hypothenusa of = √ (a2 + b2) = √(1 + φ) = √ φ2 = φ. The associated square has the surface φ2, and by using a circle of radius φ we can find that same value in the length of the interval 1 + φ. It appears that these dimensions have been used in the pyramid of Cheops. To measure length the Egyptians used the ell or the (royal) cubit of approximately 0.5236 meters (wikipedia: between 52.3 and 52.9 cm). The pyramid of Cheops has a height of 280 cubits and a full base of 440 cubits. That shape however consists of two right angled triangles. The proper triangle has a base of 220 cubits. The ratio is 280 / 220 = 14 / 11. It so happens that 11 * √φ = 13.99221614… ≈ 14. Thus the Egyptians chose a ratio in integer numbers that closely matches the real value of the golden ratio.

GR

The film The Revelation of the Pyramids now presents the startling equation:

π = 0.5236 + φ2    or      π = cubit + φ2

Startling about this is that π and φ are pure numbers while the length of the cubit only makes sense when everything is expressed by using the meter as the standard length. The pure numbers π and φ come about as ratio’s and thus by dividing lengths so that they do not depend upon any choice of measurement standard. But the value of the cubit changes if we switch from meters to feet and inches.

A first step is to check for accuracy. We find that π – φ2 = 0.5235586648… Thus the relation only holds by approximation, though the accuracy is eery.

A second step is to divide both sides by the cubit, or rather by the pure value π – φ2. Then we find:

π / (π – φ2) = 1 + φ2 / (π – φ2)

6.000459671… = 1 + 5.000459671…

There we are.

Do you see it ? Well, it took me some moments to find the proper sequence of explaning, so let us follow these steps.

A major point is that the use of π has been playing a misleading role in this analysis. It gives only a half circle and it is much better to use Θ and the whole circle.

The first point is the surprise that φ2 / (π – φ2) = 5.000459671… Reworked, we get:

φ2 / Θ ≈ 5 / 12

What is to say about that ? Well, it apparently is a mathematical property, like 11 * √φ ≈ 14. Sometimes mathematical numbers with complex properties and long decimal expansions can get close to ratio’s of specific integer values. This may be surprising, but it is a mathematical surprise. It cannot be a base for concluding that the ancient Egyptians knew about the decimal expansions of these numbers and their particular ratio. Once you decide to build a pyramid using the ratio of 14 / 11 since it is pleasing to the eye and with structural stability, then you are stuck with the implied mathematics, but that does not imply that you know more about the implied mathematics.

Secondly, let us assume that the Egyptians had their ell or cubit as an arbitrary length (based upon the human body). They also divided the year in 12 months and day and night in 12 hours each. Thus for them it makes sense to measure the circumference of a circle by 12 cubits, like we still do in our clocks. Of these 12 pieces of a pie, six can be allocated to π, five to φ2, and then one remains (all with a proportionality factor).

Poly12

A small problem in this discussion is that the Egyptians might use either flexible ropes (circle) or rigid yardsticks (polygon). Let us assume flexible ropes (circle) first, as they have been nicknamed ‘rope-stretchers’. (See the appendix for approximation by a polygon.)

The radius r of that circle follows from Θ r ≈ 12 cubit, giving r ≈ 1.909859317… cubit ≈ 1.91 cubit. For the Egyptians there was nothing special about that number for that radius. The film shows that the capstone of the pyramid would have this side. That is not inconceivable given this geometry. (If the Egyptians had Θ ≈ 44 / 7 from π ≈ 22 / 7 then r ≈ 12 / Θ cubit = 12 * 7 / 44 cubit = 21 / 11 cubit = 1.90909 cubit. For them still no special value.)

It is only for us, who have adopted the meter (rather than feet and inches), that a sense of wonder arises. For r ≈ 1.909859317… cubit = 1.909859317.. * 0.5236 = 1.000002338… meters ! Alternatively put, if we take a circle with radius 1 meter then the division of the circumference by 12 gives us the Egyptian (royal) unit of measurement, namely via Θ r = 12 cubit or one cubit = Θ / 12 = 0.5235987756…. This uses the arcs rather than the sides of the polygon, and presumes that the flexible rope subsequently is transferred to a yardstick. (For the polygon, see the appendix.)

To understand what is happening here requires us to look into the history about the selection of the meter as the European standard of measurement. Officially, the French Academy decided in 1791 that a meter was to be one ten-millionth of the distance from the Earth’s equator to the North Pole (at sea level) (wikipedia). The expedition by Napoleon to Egypt took place in 1798-1801, thus later, and the results of the new Egyptology will not have been available immediately. From this we may tend to infer that the ancient Egyptians knew about the size of the Earth and reasoned like the French. It seems more reasonable to think differently. To start with, it is already curious to take something that is difficult to measure, such as the distance from the Earth’s equator to the North Pole, to define a standard. It seems more reasonable to assume that there were already circulating measures and that the story about the equator was only an embellishment. Apparently the circle with a circumference of 12 ells had been surviving over the ages and still made it into the discussion.

But the film then should be about what happened in France and not about mysteries in ancient Egypt.

NB. There is ample discussion about the measurements of the pyramid. The top is missing so we can only guess what the Egyptians intended. See the original Petrie measurements (base 9068 and height 5776 +/- 7 inches) and this discussion with drawings. Indeed, if the base is 220 cubits and the Egyptians had a precise estimate of  √φ then the height would be 279.8443229 cubits, which is only a 0.06% of the whole height or one finger of a cubit short of 280. Because of this uncertainty, we cannot infer on these grounds that the Egyptians didn’t have a precise estimate of φ. It are other documents that show us that there were severe limits to their number system. We can neither infer that they were aware of the implication that φ2 = 1 + φ, We can observe however that they used geometry and architecture that closely matches these results. See the website by Gary Meisner for how you can create your own golden ratio paper pyramid.

PM. Sir Flinders Petrie (1853-1942) suggests that the basic inspiration lies in the circle rather than in the golden ratio. A circle with radius 7 has a circumference of 7 Θ ≈ 7 * 44 / 7 = 44, using the approximation π ≈ 22 / 7. This 44 gives a square with sides 11. A circle with radius 7 has the circumference of a square with sides 11.  Thus we find the numbers 14 and 11 again.

Proportions

The argument then is that the Great Pyramid expresses Θ ≈ 4 * 440 / 280 = 44 / 7, and that the golden ratio is only a by-product. If this is the case then this knowledge about Θ has been kept secret or has been lost since later documents apparently don’t mention it. It is a bit curious how that knowledge can get lost when that very same pyramid is standing in front of you. Mankind however has achieved greater mysteries. Note that there is no quick transformation into φ2 / Θ ≈ 5 / 12. Via Pythagoras φ2 ≈ 1 + (14 / 11)2 = 317 / 121 and now φ2 ≈ 5 / 12 * 44 / 7 = 55 / 21. For us these are approximations only but for the Egyptians it sufficed that the construction worked. The Petrie approach to start with the circle and 14 / 11 ratio seems simplest indeed. Still, the builders will not have been insensitive to the lure of the golden ratio, and it is remarkable that they have hit upon this very shape.

Appendix

We can also assume that they did not use flexible ropes but rigid yardsticks to lay out a polygon with circumference of 12 cubits, and imagined it enclosed by a circle. We can calculate the sine of a half slice, with Sin[angle] = h / r.  A half slice has h = 0.5236 / 2 and the associated angle = Θ / 12 / 2 rad or 15 degrees. We find = 1.01152. The enclosing circle has a radius that is 1% or one centimeter longer than the meter.

Two Arcs

A slice of Θ / 12 of the polygon: The inner circle has r = 1 and h = Sin[Θ / 24] = 0.2588, the outer circle has r = 1.01152 and h = 0.5236 / 2 = 0.2618.

https://boycottholland.wordpress.com/2013/01/27/pyramids-and-the-meter/

Reply  Message 528 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 03/09/2022 00:49
The Royal Egyptian Cubit, the Metre, the Second and the Great Pyramid -  YouTube

Reply  Message 529 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 03/09/2022 00:59
Corrigenda - Ancient Egyptian Connections

Reply  Message 530 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 12/09/2022 20:54


Reply  Message 531 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 12/09/2022 21:08


Reply  Message 532 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 13/09/2022 02:25
United States Of Mars Flag Art Print by Yvonne Remick | Pixels
Amazon.com: Mary Magdalene: Close to Jesus : Maria Grazia Cucinotta,  Massimo Ghini, Giuliana de Sio, Elisabeta Marchetti, Raffaele Mertes:  Movies & TV
¿LOS ESTADOS UNIDOS SON UN ESTADO TEMPLARIO?
69
BARILOCHENSE6999 12/09/2022 23:17
PIRAMIDE DEL VATICANO="EXPERIMENTO FILADELFIA"="MAQUINA DEL TIEMPO"=SANTA CENA
1278
BARILOCHENSE6999 12/09/2022 23:17
THE PHILADELPHIA EXPERIMENT (PHILADELPHIA-NORFOLK)
102
BARILOCHENSE6999 12/09/2022 23:14
EXPERIMENTO FILADELFIA=22 DE JULIO=DIA DE MARIA LA MAGDALENA
1210
BARILOCHENSE6999 12/09/2022 23:14
EXPERIMENTO FILADELFIA=22 DE JULIO=28 DE OCTUBRE=DIA DE MARIA LA MAGDALENA
30
BARILOCHENSE6999 12/09/2022 23:13
FATIMA=PYRAMID OF GIZE=DAY S MARY MAGDALENE=154 DAYS (22*7 DAYS)
104
BARILOCHENSE6999 12/09/2022 23:06
MISTERY PYRAMID AT AREA 51-LAST SUPPER=MARY MAGDALENE=22/7
71
BARILOCHENSE6999 12/09/2022 23:03
AREA 51=DA VINCI CODE=MARY MAGDALENE=SOPHIA=LETER S=VENICE
47
BARILOCHENSE6999 12/09/2022 23:03
LOS ANGELES, AREA 51, VIRGINIA Y LAODICEA (MISMO PARALELO)
277
BARILOCHENSE6999 12/09/2022 23:03
ELON MUSK, SPACE X Y EL DRAGON (VENECIA)=1RA EMPRESA PRIVADA EN LLEGAR A MARTE?
92
BARILOCHENSE6999 12/09/2022 22:52
PARA SEGUIR LAS EXPOSICIONES DEL FORO DIA A DIA
2657
BARILOCHENSE6999 12/09/2022 22:48
DIA DE MARIA MAGDALENA Y SU RELACION CON MARTE Y EL METRO
102
BARILOCHENSE6999 12/09/2022 22:40
CIBERCOMUNISMO
62
BARILOCHENSE6999 12/09/2022 22:37
MARTY MCFLY S HOUSE AND THE TWIN TOWERS (BACK TO THE FUTURE)
63
BARILOCHENSE6999 12/09/2022 22:30
EL GRUPO STARSHIP RELACIONA A GUILLERMO MARCONI CON LAS TORRES GEMELAS
59
BARILOCHENSE6999 12/09/2022 22:23
SECRET KNOWLEDGE OF BIBLE=VENICE=MARY MAGDALENE=HOLY GRAIL
61
BARILOCHENSE6999 12/09/2022 21:58
JOHN XXIII, FREEMASONRY, VENICE AND MARY MAGDALENE
64
BARILOCHENSE6999 12/09/2022 21:58
CODE FIBONACCI=SIX (FRIDAY/VENICE/VIERNES/VENUS)=EIGHT (SUNDAY/RESURRECTION)
89
BARILOCHENSE6999 12/09/2022 21:58
VENICE, PYRAMID OF KHUFU, APOLO 11, MAGDALENE, GOLDEN NUMBER, HOLY GRAIL, ETC
1022
BARILOCHENSE6999 12/09/2022 21:57
SISTER LUCIA=LIGHT=FATIMA=RELATIVITY OF ALBERT EINSTEIN
139
BARILOCHENSE6999 12/09/2022 21:47
¿EINSTEIN DESCUBRIO LA RELATIVIDAD POR CAUSA DE FATIMA? (MISTERIO MASONICO)
179
BARILOCHENSE6999 12/09/2022 21:47
¿EINSTEIN DESCUBRIO LA RELATIVIDAD POR CAUSA DE FATIMA? (MISTERIO MASONICO)
197
BARILOCHENSE6999 12/09/2022 21:46
VIRGEN DE FATIMA (ANALISIS CIENTIFICO Y ESPIRITUAL)
214
BARILOCHENSE6999 12/09/2022 21:46
LA VIRGEN DE FATIMA SATANAS SON UNO
95
Damarit Espinoza 12/09/2022 21:46
EL GRAN SECRETO DE FATIMA
60
Damarit Espinoza 12/09/2022 21:45
LA VIRGEN DE FATIMA SATANAS SON UNO
27
Damarit Espinoza 12/09/2022 21:45
El Mayor Secreto de Fátima .
190
Damarit Espinoza 12/09/2022 21:45
911=NUEVO ORDEN MUNDIAL=CRUCIFICCION DE CRISTO=FÁTIMA (CLAVE=NÚMERO 3)
115
BARILOCHENSE6999 12/09/2022 21:44
APOCALIPSIS 22:1,2,16,17 CONFIRMA EL NEXO DEL "AGUA DE LA VIDA" CON VENECIA
137
BARILOCHENSE6999 12/09/2022 21:43
MARK WAHLBERG,EL PLANETA DE LOS SIMIOS, WASHINGTON Y LA TRASLACION EN EL TIEMPO
114
BARILOCHENSE6999 12/09/2022 21:43
MARTE=TERCER DIA-VIERNES=SEXTO DIA (6+3)-SEMANA=33=VENECIA
31
BARILOCHENSE6999 12/09/2022 21:42
MARTE=TERCER DIA/VIERNES=SEXTO DIA /3+3=6 / TREINTA Y TRES (MARTE/VENUS/VENECIA)
49
BARILOCHENSE6999 12/09/2022 21:42
EINSTEIN=3:14=22/7=GENESIS 3:14=22/7="EXPERIMENTO FILADELFIA"
292
BARILOCHENSE6999 12/09/2022 21:41
VENICE=ALBERT EINSTEIN=3.14=22/7=REVELATION 21:17 (144 HOURS=SIX DAYS=FRIDAY)
138
BARILOCHENSE6999 12/09/2022 21:41
VENECIA="AGUA VIVA"=$=CAPITALISMO=RELATIVIDAD DE EINSTEIN=3.14=22/7
228
BARILOCHENSE6999 12/09/2022 21:41
¿ALBERT EINSTEIN SE INSPIRO EN EL DISEÑO DE VENECIA PARA LA RELATIVIDAD?
185
BARILOCHENSE6999 12/09/2022 21:38
SWASTIKA CONTRA LA V DE LA VICTORIA (GUERRA ESOTERICA EN LA SEGUNDA GUERRA
6
BARILOCHENSE6999 12/09/2022 21:37
VICTOR SHAUBERGER, UN CIENTIFICO ALEMAN, NOS AYUDA A ENTENDER OSHANAH RABBAH
49
BARILOCHENSE6999 12/09/2022 21:37
"ANGELES Y DEMONIOS"-ACELERADOR DE PARTICULAS-DAN BROWN ES ARGENTINO
292
BARILOCHENSE6999 12/09/2022 21:36
PROVERBIOS 21:31="CABALLO DE TROYA"=VENUS=VICTORIA=GRIAL
60
BARILOCHENSE6999 12/09/2022 21:35
VICTORIA (MESOPOTAMIA ARGENTINA)=PARALELO 33=CIUDAD DE 7 COLINAS=FILADELFIA
115
BARILOCHENSE6999 12/09/2022 21:35
VICTORIA (BABILONIA ARGENTINA=7 COLINAS)=PARALELO 33=NEXO EXTRATERRESTRE
57
BARILOCHENSE6999 12/09/2022 21:34
MARIA DE LA VICTORIA=MAGDALENA=ISHTAR GATE=EAST GATE=SILVER GATE=VATICANO
143
BARILOCHENSE6999 12/09/2022 21:34
DOMINGO=SUNDAY (DIA DEL SOL)=LETRA S=AGUA VIVA=VENECIA=MARTE/HORUS/MARCOS
385
BARILOCHENSE6999 12/09/2022 21:33
EL SIMBOLO MATEMATICO DE LA SUMATORIA TAMBIEN ES UNA REFERENCIA A LA LETRA M
14
BARILOCHENSE6999 12/09/2022 21:32
LETRA E=W=M=3 (ULTRA SECRETO MASONICO) ¿CUAL ES EL NEXO CON LA ENERGIA?
30
BARILOCHENSE6999 12/09/2022 21:32
EN LA LETRA M ESTA CODIFICADA MARIA MAGDALENA
162
BARILOCHENSE6999 12/09/2022 21:31
REVISTA TIME=PAPA FRANCISCO=LETRA M="MAQUINA DEL TIEMPO"=GOLDEN AND SILVER GATE
243
BARILOCHENSE6999 12/09/2022 21:31
ARNOLD SCHWARZENEGGER (TERMINATOR) TAMBIEN VIAJA EN EL TIEMPO-NEXO GRIALICO
231
BARILOCHENSE6999 12/09/2022 21:08
TEXACO, PENTAGON, 911,ROME, APOLO 11, MARS, FATIMA AND "BACK TO THE FUTURE"
108
BARILOCHENSE6999 12/09/2022 21:07

Reply  Message 533 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 15/09/2022 19:23


Reply  Message 534 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 17/09/2022 00:50
Critique - The Great Pi Conspiracy - YouTube

Reply  Message 535 of 540 on the subject 
From: wiles68183 Sent: 19/09/2022 14:01
Funny platformer battle royale lol beans game. Play multiplayer online for free in browser and mobile, no app or download. Ultimate Wipeout! 

Reply  Message 536 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 24/09/2022 02:53
The FLOWER of LIFE, the HARMONICS of the CIRCLE and the TRUE VALUE of Pi =  3.144… Ebook - Jain 108

Reply  Message 537 of 540 on the subject 
From: BARILOCHENSE6999 Sent: 24/09/2022 03:01
The FLOWER of LIFE, the HARMONICS of the CIRCLE and the TRUE VALUE of Pi =  3.144… Ebook - Jain 108

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From: BARILOCHENSE6999 Sent: 29/09/2022 18:12


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From: BARILOCHENSE6999 Sent: 01/10/2022 04:23



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