Here I show that the Circle with radius of 1 unit, when surrounded by its square of 2 unites, has a relationship of 4 divided by Pi which equals 1.272… This symbolism of Square (Heaven) and Circle (Earth) has its roots in the height of the Egyptian Pyramid. The Pyramid in Giseh, Egypt is a highly tuned instrument of the Highest Order. It is based on the Phi Harmonics of the Pine Cone: Pine Code 8:13. The ratio of 13 divided by 8 approximates 1.618… If we allow the base of the Pyramid to be 2×2, then the Apothem, the distance from the centre of the base to the midpoint of a base edge, like a radius, is 1 unit. This allows us to determine the Slope Height (not the sloping Edge Length) to be 1.618 or Phi. Of interest is the Height of the Pyramid, it is 1.272… It is known as the Golden Root because 1.272… x 1.272… = 1.618 which is really stating: what number multiplied by itself gives Phi, it is 1.272, the Golden Root, the Key to all the Future Sciences.
ARCHIMEDES FUNDAMENTAL ERROR IN PI: He Did Not Calculate The Area Under The Curve! As a tribute to Archimedes, 2,200BC we recognize that he gave an approximation of Pi as a fraction 22/7, which for his time in Greece, was brilliant. We also know him as a military genius who invented weapons of war, to keep away the Romans from invading, by creating the catapult, the lever, burning mirrors to attack enemy ships… and in physics his work in the field of hydrostatics is best known when he was inspired by buoyancy, upon which he ran naked through the streets calling out “Eureka” meaning “he had a brilliant flash of an idea come through. The Fundamentally flawed Archimedean Polygonal Method of infinite Limits (or Method Of Exhaustion) assumed that the Area Under The Curve just magically disappeared. This mistake, due to the lack of Fractal Mathematics, fooled all the greatest mathematicians for 2,300 years! Though, this eventually led to the idea of calculus, measuring the area under the curve, say of a cannonball flying, to determine the length of its trajectory. Thanks to zArchimedes, military inventions led to the realm of advanced Mathematics. We can conclude & declare that this Method of Exhaustion utilizing Old Pi is absolutely “EXHAUSTED”.
This lecture shows the world’s first Geometric Proof of how to determine this value of 3.144… based on converting the Formula for Phi which is 1 + the Square Root of Phi divided by 2. As I draw this and explain it in full detail, you will be surprised to learn that for over 2,000 years mathematicians have forgotten to mention that the harmonics of the Circle are based on Phi or 1.618…. By simply drawing a Square inside of a semi-circle, produces the Golden Ratio. When we double the square inside the circle we achieve Root 5 which is the diameter of the circle and the key to revealing the JainPi Cross. I believe that this True Value of Pi 3.144… is an ancient Navigational Device of the highest order, and was systematically hidden from worldview to protect its power from corruption. When the world is ready, it will be delivered as a Correctional Code.
Here is a Bullet of Fact: Can we show that the Harmonics of the Unit Circle are based on Phi, if we can successfully show this, it means that we don’t need to calculate Pi, we can express all the circle measurements of Area and Perimeter etc using only Phi. Here, the semi-circle contains the Unit Square. Observe, along the diameter, going from left to right, that the diameter is composed of 3 sums: .618…, 1 and .618… again giving a total sum of 2.236… aka Square Root of Phi, which is actually part of the formula for knowing Phi to equal 1.618… Notice how the measurement of BE is Point 618 (.618033988… also known as “phee”) or the Reciprocal of Phi (1.618…). In fact, to create the Golden Phi Rectangle, starting with AB, we bisect the square and arc down the diagonal of OD to mark the point E. Thus the Unit Square and Phi Harmonics embedded in the Semi-Circle is our first step to link the mysteries of Phi-Pi.
“The Throne upon which Osiris sits is clearly depicted as the Square of 4, as it transforms into the Square of 5 through the principle of Root 5 on which all the Phi Proportions rest. It is therefore shown as the seat of the world of transformation through death and rebirth, represented by Osiris”. (Robert Lawlor). Shown below, and to the lower right, is a 5×5 grid which births the 3-4-5 Pythagorean Triangle, considered to the one of the two main Treasures in Mathematics, the other being the Divine Phi Proportion (1:1.618…). 5 is the Key, Root 5, 5 fingers, 5 toes. Jain 108 True Value Of Pi. Introduction (part 3 of 6) (extracted from Jain’s keynote presentation on The True Value of Pi 3.144…”).
3 Circle Phi Construction Supporting JainPi Jain 108 Discovery: True Value Of Pi. Introduction (part 5) There exists an important Triad of Circles that cleverly derive Phi or the Divine Proportion. Essentially, we need the THREEness to generate the FIVEness that leads to the Path of True Pi (derived from the Square Root of Phi aka 1.272… and the Square Root of 5 aka 2.236…). True Pi cannot be calculated without the Root of PhiVe: the diagonal of the Double Square. The 3 equal sized circles all in one tangent generates Phi. When AB=1, AC=2, forming a Pythagorean Right Triangle ABC where the hypotenuse BC=2.236… or Root 5. BE/BD (ie: BE divided by BD) = Phi (1.618…). BC=EC=.618… or phee, the Reciprocal of Phi aka 1/Phi. The hypotenuse BC = .618… + 1 + .618… = 2.236… shows how the generative function of Root 5 contains segments of phee, the living mathematics of Nature.
Rectification of the Circle: Necessary to Derive 3.144… Essential to understanding how the True Value of Pi is derived, is the ancient construction of the Squared Circle, aka Mystical Quadrature of the Circle. Let ABCD = the 4 corners of the Unit Square. EF lies on the Diameter of the Circle, “0” is the Origin or centre. We draw a circle around the Square such the Perimeter of the Square, = 4 units, is equal to the Circumference of the Circle going through it. If the square is made up of an 8×8 Grid, like the Chessboard of 64 cells, then the Squared Circle fits neatly into a 9×9 Grid. This is called the 8:9 proportion. We don’t know the length of the diameter of the circle GH? Without showing all the algebra here, to derive GH, I am stating coherently, that the critical measurement, required to make the Circle and Square equal, akin to joining Heaven and Earth energies, is the value of 1.272… which happens to be the Square Root of Phi (1.618…), meaning 1.272… x 1.272… = Phi. (Half of this is the radius having a value of .636…). I decided to call this value of 1.272… the Golden Root, as it appears both in Plato’s/Kepler’s Most Beautiful Triangle, and as the height of the Pyramid in Gizeh. Thus, only the Harmonics of Phi can make Heaven and Earth equal, and generates the JainPi of 3.144… The equality of the square areas of the circle and square is called The Mystical Squaring of the Circle, but this enquiry here is based on equal Perimeter/Circumference and is technically known as The Rectification of the Circle. How do we derive 3.144…? At school you would have learnt that the Circumference “C” of Circle = Pi x Diameter. This Circumference also equals the Perimeter of the Square. Thus: 4 = Pi x Diameter. We know that the Diameter = the Golden Root: 4 = Pi x 1.272… therefore, Pi = 4 / 1.272… Pi = 3.144… now known as JainPi or the True Value of Pi.
Saturn’s Orbit Relates to Pi, Mars and Neptune! Saturn’s orbit invokes Pi, twice. Its radius is the circumference of Mars’s orbit (99.9%) and its circumference is the diameter of Neptune’s orbit (99.9%). This is a classic example of how ancient Celestial Transcripts and astronomical cycles are recorded in the revolution and evolution of The Plan, The Plane and The Planets. When we refer to traditional Pi, which is 3.141… we are making a simple reference to a Circle and its Diameter. When the diameter is 2 units, the formula for its Area is Pi x radius squared, making the radius 1 unit and thus the Area is 3.141… or Pi. Regarding the Circumference, the formula is Pi x Diameter, thus when the diameter is 1 unit, the Circumference is Pi x 1 = Pi = 3.141… units of length. This cosmic algebra is all mirrored in the sky. Jain 108 (Image courtesy of John Martineaux from “Little Book of Coincidences”). This info was extracted from The Book Of Phi, volume 9, on the True Value of Pi.
A Nazca Geoglyph Exposes The Jainpi Geometric Proof! Did you know that the geometry of the Jain’s Fairywand Method based on the Phi Formula, that is the world’s geometric proof to elucidate the True Value of Pi as 3.144… composed of double unit squares in the circle, is actually one of the scores of many Nazca lines in Peru? This is an amazing revelation, to see a geometric proof carved celestially in a mountain top region for all the world to see, but only can be observed when you are flying! This begs the question to be asked: “Did we have ancient visitors in flying crafts”, as stated by Eric von Daniken, in his historic diagrams based on photographs, from his book, “Arrival Of The Gods” published in 1998. Scientists have discovered over 140 new geoglyphs known as Nazca Lines: a mysterious, ancient cluster of giant figures etched long ago into the desert terrain of southern Peru. These massive, sprawling representations of humans, animals, and objects date back in some cases 2,500 years, and are so large, many of them can only be identified from the air. Currently drones are scouring the mountain tops and slopes for more hidden imagery. Now archaeologists from Japan’s Yamagata University report that a long-term research effort conducted since 2004 has uncovered 143 previously unknown Nazca geoglyphs – All of these figures were created by removing the black stones that cover the land, thereby exposing the white sand beneath,” the research team explains. Previous hypotheses have suggested the Nazca society shaped the giant geoglyphs – some measuring hundreds of metres long – to be seen by deities in the sky, or that they may serve astronomical purposes.
We were taught at school that the Circle has precisely 360 degrees, as seen on any school protractor. This is a man-made or arbitrary value. There is a more Universal method for expressing Arc Length. There is a better way that has No Units. It is based on the Radius of the Circle (r) traced out on the Curve of the Circle (s). As a Formula it is expressed as Arc Length s=rTheta, where Theta is the Angle. Radians express Mathematical Angles more Elegantly. Credit goes to Roger Cotes who in 1714 expressed arc lengths in terms of say 1.6 rad or 1.6c, formalities which are not used now, only the number now is used, ie: it needs no Symbol. That is why Radians are termed as a Dimensionless Ratio. We believe that the origin of the word Radian is derived from the compound: RADIus Angle. It is a Pure Number. NASA prefers to use Radians rather than inaccurate Degrees because all measurements become easier. The difference between 57 deg 17’ 45” or 57.29 as the standard Radian angle, Versus the new value derived from JainPi which is 57 deg 14’ 27” or 57.24 has a difference or error of 5/100 or .05 which is quite a significant error when seeking precision, especially in Nano-Technology. In fact, adopting JainPi Radian will change everything as we know it, as the whole world of engineering and technology is based on Pi. Accepting that deficient Pi of 3.141… is now replaced by the True Value of Pi 3.144…, means that even the most famous and beautiful mathematical formula we know called Euler’s Identity (e^iPi + 1 = 0) that involves 5 special constants, is in slight error, (where “e” = Exponential Function 2.718… a form of natural logarithms, “I” = the square root of minus one. It can also be expressed as (e^iPi = -1). (To convert any standard angle to JainPi Radian, we merely multiply the Angle by JainPi and divide by 180. eg: 108 degrees = (108 x 3.144605511…) divided by 180 = 1.886… which can be rounded off to 1.89. This means, if the radius is 1 unit, then the arc length is just under 2 radii length or precisely 1.89 times the radius).
Jain 17-3-20 Mullumbimby Creek.