The Astronomer Royal, of England, George B. Airy, in his celebrated work on Astronomy, the "Ipswich Lectures," says - "Jupiter is a large planet that turns on his axis, and why do not we turn?" Of course, the common sense reply is: Because the Earth is not a planet! When, therefore, an astronomer royal puts words into our mouth wherewith we may overthrow the supposed planetary nature of the Earth, we have not far to go to pick up a proof that Earth is not a globe.
73.) Astronomers have made experiments with pendulums which have been suspended from the interior of high buildings, and have exulted over the idea of being able to prove the rotation of the Earth on its "axis," by the varying direction taken by the pendulum over a prepared table underneath – asserting that the table moved round under the pendulum, instead of the pendulum shifting and oscillating in different directions over the table! But, since it has been found that, as often as not, the pendulum went round the wrong way for the "rotation" theory, chagrin has taken the place of exultation, and we have a proof of the failure of astronomers in their efforts to substantiate their theory, and, therefore, a proof that Earth is not a globe.
Flat earth theory is neither officially nor unofficially associated with any religion. Throughout the ages various religious institutions have championed a flat earth model for the world. Unfortunately this leaves us with the vestigial thought that flat earth theory and religions are symbiotic. They are not, even though many religions today, both mainstream and otherwise, still teach its followers that the world is flat. While they are not incorrect, believing in a flat earth isn't contingent upon believing in a deity or being a part of any religion.

9.) As mariners take to sea with them charts constructed as though the sea were a level surface, however these charts may err as to the true form of this level surface taken as a whole, it is clear, as they find them answer their purpose tolerably well – and only tolerably for many ships are wrecked owing to the error of which we speak – that the surface of the sea is as it is taken to be, whether the captain of the ship "supposes" the Earth to be a globe or anything else. Thus, then, we draw, from the common system of "plane sailing," a practical proof that Earth is not a globe.


49) If Earth were a spinning ball heated by a Sun 93 million miles away, it would be impossible to have simultaneously sweltering summers in Africa while just a few thousand miles away bone-chilling frozen Arctic/Antarctic winters experiencing little to no heat from the Sun whatsoever. If the heat from the Sun traveled 93,000,000 miles to the Sahara desert, it is absurd to assert that another 4,000 miles (0.00004%) further to Antarctica would completely negate such sweltering heat resulting in such drastic differences.
That the mariners' compass points north and south at the same time is a fact as indisputable as that two and two makes four; but that this would be impossible if the thing, were placed on a globe with "north" and "south' at the centre of opposite hemispheres is a fact that does not figure in the school-books, though very easily seen: and it requires no lengthy train of reasoning to bring out of it a pointed proof that the Earth is not a globe.
9.) As mariners take to sea with them charts constructed as though the sea were a level surface, however these charts may err as to the true form of this level surface taken as a whole, it is clear, as they find them answer their purpose tolerably well – and only tolerably for many ships are wrecked owing to the error of which we speak – that the surface of the sea is as it is taken to be, whether the captain of the ship "supposes" the Earth to be a globe or anything else. Thus, then, we draw, from the common system of "plane sailing," a practical proof that Earth is not a globe.

If the earth is a sphere like we’ve been taught, with different layers of rock and a molten core, where did all the water of “the great deep” come from? The “great deep”, a giant reservoir of water going to great depths below the earth, does not fit into the globe earth model at all. It does, however, describe perfectly the Biblical Ancient Hebrew model of the flat earth.


of the intervening object. This conclusion is forced upon, us by the evidence; but it involves the admission that the moon shines with light of its own–that it is not a reflector of the sun’s light, but absolutely self-luminous. Although this admission is logically compulsory, it will be useful and strictly Zetetic to collect all the evidence possible which bears upon it.”- Samuel Rowbathom, Zetetic Astronomy (1)
Roger Hodgson left the band in 1983 and the Supertramp that most people know has not existed for over 30 years. The music of Supertramp totally changed after Roger left to match Rick’s musical influence, which is more jazz and blues. Rick Davies and his wife have trademarked the name Supertramp, yet the band only consists of one original member – Rick.

12.) As we have seen that there is, really no south point (or pole) but an infinity of points forming, together, a vast circumference — the boundary of the known world, with its battlements of icebergs which bid defiance to man's onward course, in a southerly direction – so there can be no east or west "points,' just as there is no "yesterday," and no "tomorrow." In fact, as there is one point that is fixed (the North), it is impossible for any other point to be fixed likewise. East and west are, therefore, merely directions at right angles with a north and south line: and as the south point of the compass shifts round to all parts of the circular boundary, (as it may be carried round the central North) so the directions east and west, crossing this line, continued to form a circle at any latitude. A westerly circumnavigation, is going around with the North Star continually on the right hand, and an easterly circumnavigation is performed only when the reverse condition of things is maintained, the North Star being on the left hand as the journey is made. These facts, taken together, form a beautiful proof that the Earth is not a globe.

In general, we at the Flat Earth Society do not lend much credibility to photographic evidence. It is too easily manipulated and altered. Many of the videos posted here to "prove a round earth" by showing curvature will show no curvature or even concave curvature at parts. The sources are so inaccurate it's difficult to build an argument on them in either case. Furthermore, barrel distortion and other quirks of modern cameras will cause a picture to distort in ways which may not be immediately obvious or apparent, especially without references within the picture. Photographs are also prone to distortion when taken through the bent glass of a pressurized cabin as well as atmospheric conditions on the outside. With this litany of problems, it's easy to see why photographic evidence is not to be trusted.
44.) It is in evidence that, if a projectile be fired from a rapidly moving body in an opposite direction to that in which the body is going, it will fall short of the distance at which it would reach the ground if fired in the direction of motion. Now, since the Earth is said to move at the rate of nineteen miles in, a second of time, "from west to east," it would make all the difference imaginable if the gun were fired in an opposite direction. But, as, in practice, there is not the slightest difference, whichever way the thing may be done, we have a forcible overthrow of all fancies relative to the motion of the Earth, and a striking proof that the Earth is not a globe.
188) Over the years NASA has twice changed their story regarding the shape of the Earth. At first they maintained Earth was a perfect sphere, which later changed to an “oblate spheroid” flattened at the poles, and then changed again to being “pear-shaped” as the Southern hemisphere allegedly bulges out as well. Unfortunately for NASA, however, none of their official pictures show an oblate spheroid or pear-shaped Earth! All their pictures, contrary to their words, show a spherical (and clearly CGI fake) Earth.
Quite simply you cannot. It is widely stated you would need to be at a height of at least 40,000 ft to get even a hint of curvature if earth were round. Commercial aircraft are not allowed to fly this high. They are only allowed to fly just under this altitude. 36,000ft might be typical. In addition, the windows on commercial aircraft are small and heavily curved. Even if they flew high enough for a person to see curvature, it would still not be visible to passengers.

Well I dont rule out a creator because so many things were by design. Look at how some animals protect themselves. Take a skunk, that is ingenious, but doubt it was through evolution. Look at a raccoon, cool looking mast dont you think, that's what Hollywood says as well. Look a all males, their penis retracts when not in use, hmm somebody was thinking. No, not evolution but careful breeding by some one. Probably many Somebodies came here and created their own species, that's why we look a little different from continent to continent. who knows how far back it goes, maybe all mammals were created by somebody. But then whales might be smarter than us.
12.) As we have seen that there is, really no south point (or pole) but an infinity of points forming, together, a vast circumference — the boundary of the known world, with its battlements of icebergs which bid defiance to man's onward course, in a southerly direction – so there can be no east or west "points,' just as there is no "yesterday," and no "tomorrow." In fact, as there is one point that is fixed (the North), it is impossible for any other point to be fixed likewise. East and west are, therefore, merely directions at right angles with a north and south line: and as the south point of the compass shifts round to all parts of the circular boundary, (as it may be carried round the central North) so the directions east and west, crossing this line, continued to form a circle at any latitude. A westerly circumnavigation, is going around with the North Star continually on the right hand, and an easterly circumnavigation is performed only when the reverse condition of things is maintained, the North Star being on the left hand as the journey is made. These facts, taken together, form a beautiful proof that the Earth is not a globe.
In the next photograph (Figure 6), the lettering on the hull is no longer visible. The layer of gray containers is even more visible in the inferior mirage, and the first layer of multi-colored containers is now beginning to appear in the inferior mirage. In the next photograph (Figure 7), the light from the gray layer of containers and its inferior mirage are beginning to merge. The first layer of the multi-colored containers above it is clearly visible in the inferior mirage. The white of the bridge castle is starting to show up in the inferior mirage. In Figure 8, the layer of gray containers no longer is visible. The bottom of the bridge castle and its inferior mirage have merged. None of the hull is visible. In the next photograph (Figure 9), the ship has turned, so we see the back of the bridge castle and containers on the stern. Much of the bottom of what appears to be the ship is an inferior mirage of the upper containers. At any rate, the hull is clearly not visible. Finally, in Figure 10 none of the containers are visible. All that we can see is the back of the bridge castle, merged with the upside-down inferior mirage. Notice the symmetry between the two.

152) In 2003, three University Geography professors collaborated in an experiment to prove that the state of Kansas is indeed actually flatter than a pancake! Using topigraphical geodetic surveys covering over 80,000 square miles it was determined that Kansas has a flatness ratio of 0.9997 over the entire state while the average pancake, precisely measured using a confocal laser microscope comes in at 0.957, making Kansas thereby literally flatter than a pancake.


50. We read in the inspired book, or collection of books, called THE BIBLE, nothing at all about the Earth being a globe or a planet, from beginning to end, but hundreds of allusions there are in its pages which could not be made if the Earth were a globe, and which are, therefore, said by the astronomer to be absurd and contrary to what he knows to be true! This is the groundwork of modern infidelity. But, since every one of many, many allusions to the Earth and the heavenly bodies in the Scriptures can be demonstrated to be absolutely true to nature, and we read of the Earth being "stretched out" "above the waters," as "standing in the water and out of the water," of its being "established that it cannot be moved," we have a store from which to take all the proofs we need, but we will just put down one proof - the Scriptural proof - that Earth is not a globe.

As with the Chicago skyline, there are many images on the internet, usually videos, of ships some distance away in which their hulls are visible. Many of these are taken during warm weather, such as late spring and summer, when the water is likely to be much cooler than the air, producing a temperature inversion. However, what would happen if one were to repeat this experiment over water that is warmer than the air temperature? Since there is no temperature inversion, the hulls of ships ought to disappear. This condition is likely to prevail on cool days in late autumn and early winter, when water temperatures are higher than air temperatures. These conditions also can produce inferior mirages, though not nearly as pronounced as over land on sunny summer days.
178) People claim Google Earth somehow proves the ball model without realizing that Google Earth is simply a composite program of images taken from high-altitude planes and street-level car-cameras superimposed onto a CGI model of a ball Earth. The same could be just as easily modeled onto a square Earth or any other shape and therefore cannot be used as proof of Earth’s rotundity.
158) If “gravity” magically dragged the atmosphere along with the spinning ball Earth, that would mean the higher the altitude, the faster the spinning atmosphere would have to be turning around the center of rotation. In reality, however, if this were happening then rain and fireworks would behave entirely differently as they fell down through progressively slower and slower spinning atmosphere. Hot-air balloons would also be forced steadily faster Eastwards as they ascended through the ever increasing atmospheric speeds.
If the Earth were a globe, people - except those on the top - would, certainly, have to be "fastened" to its surface by some means or other, whether by the "attraction" of astronomers or by some other undiscovered and undiscoverable process! But, as we know that we simply walk on its surface without any other aid than that which is necessary for locomotion on a plane, it follows that we have, herein, a conclusive proof that Earth is not a globe.
The Rev. D. Olmsted, in describing a diagram whish is supposed to represent the Earth as a globe, with a figure of a man sticking out at each side and one hanging head downwards, says "We should dwell on this point until it appears to us as truly up," In the direction given to these figures as it does with regard to a figure which he has placed on the top! Now, a system of philosophy which requires us to do something which is, really, the going out of our minds, by dwelling on an absurdity until we think it is a fact, Cannot be a system based on God's truth, which never requires anything of the kind. Since, then, the popular theoretical astronomy of the day requires this, it is evident that it is the wrong thing, and that this conclusion furnishes us with a proof that the Earth is not a globe.
Another MAJOR problem with the Ball earth model is that the path of the total eclipse shadow that is coming on August 21 in Notth America (and all paths of the solar eclipses) is only 70 miles across! How can a shadow be SMALLER than the object casting the shadow? This is physically impossible! We know from experience that shadows can be the same size or larger than the object casting the shadow, but it can never be smaller. We are told that the moon is 2,159 miles in diameter. So shouldn’t the moon’s shadow on earth be at LEAST 2,159 miles wide? But instead we are given the path of the next eclipse across the United States and it is only 70 miles wide. You have to be in a very specific location to even see the total eclipse.

The problem with the Globe Earth model is that it is completely the opposite of what the Bible says. In the Globe model, there is no separation of waters from the waters below. In fact, there are no waters above. Neither is there a barrier separating earths air from the vacuum of “space”. We are told that “gravity”, an invisible force even “scientists” do not understand, is what holds the air and the water onto the earth. But never has anyone ever been able to produce a real vacuum without a barrier around it to keep the air separated from the vacuumed space. There must be a solid barrier or it does not work. In this way, the globe makes no sense.
34) Ship captains in navigating great distances at sea never need to factor the supposed curvature of the Earth into their calculations. Both Plane Sailing and Great Circle Sailing, the most popular navigation methods, use plane, not spherical trigonometry, making all mathematical calculations on the assumption that the Earth is perfectly flat. If the Earth were in fact a sphere, such an errant assumption would lead to constant glaring inaccuracies. Plane Sailing has worked perfectly fine in both theory and practice for thousands of years, however, and plane trigonometry has time and again proven more accurate than spherical trigonometry in determining distances across the oceans.

16.) If the, Earth were a globe, the distance round its surface at, say, 45 "degrees" south latitude, could not possibly be any greater than it is at the same latitude north; but, since it is found by navigators to be twice the distance — to say the least of it — or, double the distance it ought to be according to the globular theory, it is a proof that the Earth is not a globe.


In 1610, Galileo Galilei observed the moons of Jupiter rotating around it. He described them as small planets orbiting a larger planet—a description (and observation) that was very difficult for the church to accept, as it challenged a geocentric model where everything was supposed to revolve around the Earth. This observation also showed that the planets (Jupiter, Neptune, and later Venus was observed too) are all spherical, and all orbit the sun.
If the Earth were a globe, an observer who should ascend above its surface would have to took downwards at the horizon (if it be possible to conceive of a horizon at all under such circumstances) even as astronomical diagrams indicate that angles - varying from ten to nearly fifty degrees below the "horizontal" line of sight! (It is just as absurd as it would be to be taught that when we look at a man full in the face we are looking down at his feet!) But, as no observer in the clouds, or upon any eminence on the earth, has ever had to do so, it follows that the diagrams spoken of are imaginary and false; that the theory which requires such things to prop it up is equally airy and untrue; and that we have a substantial proof that Earth is not a globe.
148) Quoting “Earth Not a Globe!” by Samuel Rowbotham, “It is found by observation that the stars come to the meridian about four minutes earlier every twenty-four hours than the sun, taking the solar time as the standard. This makes 120 minutes every thirty days, and twenty-four hours in the year. Hence all the constellations have passed before or in advance of the sun in that time. This is the simple fact as observed in nature, but the theory of rotundity and motion on axes and in an orbit has no place for it. Visible truth must be ignored, because this theory stands in the way, and prevents its votaries from understanding it.”
3) The natural physics of water is to find and maintain its level. If Earth were a giant spinning sphere tilting and hurling through space then truly flat, consistently level surfaces would not exist here. There would be a massive bulge of water in the oceans because of the curvature of the earth. If earth was curved and spinning the oceans of water would be flowing down to level and covering land. Some rivers would be impossibly flowing uphill. There would massive water chaos and flooding! What we would see and experience would be vastly different! But since Earth is in fact an extended flat plane, this fundamental physical property of fluids finding and remaining level is consistent with experience and common sense. The water remains flat because the earth is flat!

The Newtonian theory of astronomy requires that the Moon "borrow" her light from the Sun. Now, since the Sun's rays are hot and the Moon's light sends with it no heat at all, it follows that the Sun and Moon are "two great lights," as we somewhere read; that the Newtonian theory is a mistake; and that, therefore, we have a proof that the Earth is not a globe.


This is compelling stuff, and clearly growing in popularity. My question is - how do you move on from here - from an online truther movement to some real influence over national or even international education policy? Because, forgive me for saying so, but you seem to have a mountain to climb in that respect. Pretty much every child on the planet is being taught the orthodoxy. How do you gain real traction to change that? I don't think the internet is enough by itself, do you? Is there any hope in the new Trump administration?
In Figure 12, the ship now appears beyond the pier. Notice that the inferior mirage of the lettering on the hull is much more obvious now. In Figure 13, the lettering and its inferior mirage have not merged. In Figure 14, the lettering is difficult to see. This probably is because most of the lettering is below the horizon, and what appears to be the bottom of the hull is an inferior mirage of the top of the hull. This is clearly seen by the inferior mirage of the first layer of red containers below the turquoise. In Figure 15, the inferior mirage of the bottom layer of containers is more obvious, and the inferior mirage of the bottom of the bridge castle is beginning to show up. Clearly, at least half of the turquoise visible here is an inferior mirage. Most of the hull is below the curvature of the earth. Unfortunately, at this point the sun was about to set, so light levels were dropping quickly, forcing me to use longer exposures. At that point, I stopped taking photographs.

191) From Pythagoras to Copernicus, Galileo and Newton, to modern astronauts like Aldrin, Armstrong and Collins, to director of NASA and Grand Commander of the 33rd degree C. Fred Kleinknecht, the founding fathers of the spinning ball mythos have all been Freemasons! The fact that so many members of this, the largest and oldest secret society in existence have all been co-conspirators bringing about this literal “planetary revolution” is beyond the possibility of coincidence and provides proof of organized collusion in creating and maintaining this multi-generational deception.
Hodgson quit Supertramp in 1983. Davies's relationship with him had deteriorated[citation needed], and the group's last hit before his departure, "My Kind of Lady", featured little involvement from Hodgson as either a writer or performer. The song was a showcase for Davies's vocal range, with him singing in everything from a booming bass to a piercing falsetto to his natural raspy baritone. With Davies firmly at the helm, Supertramp returned to a more non-commercial, progressive rock-oriented approach with the album Brother Where You Bound and had another hit with "Cannonball". The band continued to tour and record for another five years before disbanding, with a mutual agreement between the members that Supertramp had run its course.[13]
On November 12, 2016, I had the opportunity to conduct this experiment. I was near the water’s edge, just beyond the surf, at Virginia Beach from middle to late afternoon. When I began, the air temperature was 50 degrees F, and the temperature dropped a degree or two by the time that I was done, near sunset. The water temperature was 62–64 degrees F, so the air immediately above the water was at least ten degrees warmer than the air temperature a short distance above the water. I photographed two cargo ships as they made their way out to sea from the port at Hampton Roads. I mounted a digital SLR camera on a 3.5-inch Questar telescope, having a 1,200-mm focal length. The ISO setting on the camera was 100 for all photographs.
Gravity is only different concentrations of water density, air is water as well. Things will always fall at different speeds through water according to the density so go ahead and do the math. LOL If atmospheric pressure, centripetal and centrifugal forces were holding water to a globe planet like we are told, water falls would hug the earth like a snake. Just an observation, when a volcano creates a new exposed formation the water around it finds its LEVEL. Get it! Finds its Level, we're on a flat plane.
24) If Earth and its atmosphere were constantly spinning eastwards over 1000mph then North/South facing cannons should establish a control while East-firing cannonballs should fall significantly farther than all others while West-firing cannonballs should fall significantly closer. In actual fact, however, regardless of which direction cannons are fired, the distance covered is always the same.
Keep up the good work Eric, you have alot of evidence to back up your claims of Flat Earth. I now can clearly see we have been lied to for over 500 years. Science today is propaganda for manipulation, all these new age science movements are just a another religion. This explains how indigenous tribes around the world knew astrology without the use of telescopes. The planet or plane we live on is the only physical dense place in this universe. NASA has never been in outer space because it doesnt exist. I cant wait until more people see through the lies, seems like everthing we been taught are lies. We call our selves today a so called advanced civilization but in my opinion the ancient civilizations who relied more on spiritual technology were way advanced. I can say the ones in power have played the biggest magic trick on humanity. There alot more mysterious with this flat earth to find.
That the mariners' compass points north and south at the same time is a fact as indisputable as that two and two makes four; but that this would be impossible if the thing, were placed on a globe with "north" and "south' at the centre of opposite hemispheres is a fact that does not figure in the school-books, though very easily seen: and it requires no lengthy train of reasoning to bring out of it a pointed proof that the Earth is not a globe.
47.) In consequence of the fact being so plainly seen, by everyone who visits the seashore, that the line of the horizon is a perfectly straight line, it becomes impossible for astronomers, when they attempt to convey, pictorially, an idea of the Earth's "convexity," to do so with even a shadow of consistency: for they dare not represent this horizon as a curved line, so well known is it that it is a straight one! The greatest astronomer of the age, in page 15 of his "Lessons," gives an illustration of a ship sailing away, "as though she were rounding the top of a great hill of water;" and there – of a truth – is the straight and level line of the horizon clear along the top of the "hill" from one side of the picture to the other! Now, if this picture were true in all its parts – and it is outrageously false in several – it would show that Earth is a cylinder; for the "hill" shown is simply up one side of the level, horizontal line, and, we are led to suppose, down the other! Since, then, we have such high authority as Professor Richard A. Proctor that the Earth is a cylinder, it is, certainly, a proof that the Earth is not a globe.
Astronomers have never agreed amongst themselves about a rotating Moon revolving round a rotating and revolving Earth - this Earth, Moon, planets and their satellites all, at the same time dashing through space, around the rotating and revolving Sun, towards the constellation Hercules, at the rate of four millions of miles a day! And they never will: agreement is impossible! With the a Earth a plane and without motion, the whole thing is clear. And if a straw will show which way the wind blows, this may be taken as a pretty strong proof that the Earth is not a globe.
Roger Hodgson left the band in 1983 and the Supertramp that most people know has not existed for over 30 years. The music of Supertramp totally changed after Roger left to match Rick’s musical influence, which is more jazz and blues. Rick Davies and his wife have trademarked the name Supertramp, yet the band only consists of one original member – Rick.
191) From Pythagoras to Copernicus, Galileo and Newton, to modern astronauts like Aldrin, Armstrong and Collins, to director of NASA and Grand Commander of the 33rd degree C. Fred Kleinknecht, the founding fathers of the spinning ball mythos have all been Freemasons! The fact that so many members of this, the largest and oldest secret society in existence have all been co-conspirators bringing about this literal “planetary revolution” is beyond the possibility of coincidence and provides proof of organized collusion in creating and maintaining this multi-generational deception.
178) People claim Google Earth somehow proves the ball model without realizing that Google Earth is simply a composite program of images taken from high-altitude planes and street-level car-cameras superimposed onto a CGI model of a ball Earth. The same could be just as easily modeled onto a square Earth or any other shape and therefore cannot be used as proof of Earth’s rotundity.
52.) It is a well-known and indisputable fact that there is a far greater accumulation of ice south of the equator than is to be found at an equal latitude north: and it is said that at Kerguelen, 50 degrees south, 18 kinds of plants exist, whilst, in Iceland, 15 degrees nearer the northern centre, there are 870 species; and, indeed, all the facts in the case show that the Sun's power is less intense at places in the southern region than it is in corresponding latitudes north. Now, on the Newtonian hypothesis, all this is inexplicable, whilst it is strictly in accordance with the facts brought to light by the carrying out of the principles involved in the Zetetic Philosophy of "Parallax." This is a proof that the Earth is not a globe.
The only explanation which has been given of this phenomenon is the refraction caused by the earth’s atmosphere. This, at first sight, is a plausible and fairly satisfactory solution; but on carefully examining the subject, it is found to be utterly inadequate; and those who have recourse to it cannot be aware that the refraction of an object and that of a shadow are in opposite directions. An object by refraction is bent upwards; but the shadow of any object is bent downwards, as will be seen by the following very simple experiment. Take a plain white shallow basin, and place it ten or twelve inches from a light in such a position that the shadow of the edge of the basin touches the centre of the bottom. Hold a rod vertically over and on the edge of the shadow, to denote its true position. Now let water be gradually poured into the basin, and the shadow will be seen to recede or shorten inwards and downwards; but if a rod or a spoon is allowed to rest, with its upper end towards the light, and the lower end in the bottom of the vessel, it will be seen, as the water is poured in, to bend upwards–thus proving that if refraction operated at all, it would do so by elevating the moon above its true position, and throwing the earth’s shadow downwards, or directly away from the moon’s surface. Hence it is clear that a lunar eclipse by a shadow of the earth is an utter impossibility.
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