What must be the angle of incidence for total internal reflection to occur? Let medium 1 be the medium with the higher index of refraction. As θ1 increases, θ2 also increases, albeit at a faster rate. When θ2 reaches 90 degrees, there is total internal reflection, and there is no transmission of light. The corresponding angle of incidence, θ1, is the critical angle where total internal reflection occurs. Let the critical angle be θc. Substituting into Snell’s law:
97) NASA and modern astronomy say the Earth is a giant ball tilted back, wobbling and spinning 1,000 mph around its central axis, traveling 67,000 mph circles around the Sun, spiraling 500,000 mph around the Milky Way, while the entire galaxy rockets a ridiculous 670,000,000 mph through the Universe, with all of these motions originating from an alleged “Big Bang” cosmogenic explosion 14 billion years ago. That’s a grand total of 670,568,000 mph in several different directions we’re all supposedly speeding along at simultaneously, yet no one has ever seen, felt, heard, measured or proven a single one of these motions to exist whatsoever.
The flat earth movement began in the 19th century with the publications of Samuel Rowbotham. In the summer of 1838, Rowbotham conducted his Bedford level experiment. The Bedford level is a six-mile stretch of water that is very straight and level. Over the six miles, the earth ought to curve downward by 24 feet. Rowbotham stationed himself at one end of the Bedford level, and arranged for someone else in a small boat to row to the other end. A five-foot mast was attached to the boat, so certainly by the end of the level the mast would not be visible, because the top of the mast would have been 11 feet below Rowbotham’s line of sight. Rowbotham observed the boat with a telescope mounted eight inches above the water. Rowbotham could see the small boat over the entire course of the Bedford level, whereupon he became convinced that the earth was flat. I’ve previously discussed the Bedford level experiment, in which I explained that atmospheric refraction bent the light of the boat along the surface of the earth, making the boat visible, even though the boat actually was below the direct line of sight. Here I wish to expand upon the phenomenon that caused Rowbotham’s experiment to go awry.
If the Earth were a globe, there certainly would be - if we could imagine the thing to be peopled all round - "antipodes:" "people who," says the dictionary, "living exactly on the opposite side of the globe to ourselves, have their feet opposite to ours: - people who are hanging heads downwards whilst we are standing heads up! But, since the theory allows us to travel to those parts of the Earth where the people are said to be heads downwards, and still to fancy ourselves to be heads upwards and our friends whom we have left behind - us to be heads downwards, it follows that the whole thing is a myth - a dream - a delusion - and a snare; and, instead of there being any evidence at all in this direction to substantiate the popular theory, it is a plain proof that the Earth is not a globe.
99) Viewed from a ball-Earth, Polaris, situated directly over the North Pole, should not be visible anywhere in the Southern hemisphere. For Polaris to be seen from the Southern hemisphere of a globular Earth, the observer would have to be somehow looking “through the globe,” and miles of land and sea would have to be transparent. Polaris can be seen, however, up to over 20 degrees South latitude.
95) On a clear day from the highland near Douglas Harbor on the Isle of Man, the whole length of the coast of North Wales is often plainly visible to the naked eye. From the Point of Ayr at the mouth of the River Dee to Holyhead comprises a 50 mile stretch which has also been repeatedly found to be perfectly horizontal. If the Earth actually had curvature of 8 inches per mile squared, as NASA and modern astronomy claim, the 50 mile length of Welsh coast seen along the horizon in Liverpool Bay would have to decline from the center-point an easily detectable 416 feet on each side!
Astronomers tell us. that the Moon, goes round the Earth in about 28 days. Well, we may see her making her journey round every. day, if we make use of our eyes and these are about the best things we have to use. The Moon falls behind in her daily motion as compared with that of the Sun to the extent of one revolution in the time specified; but that is not making a revolution. Failing to go as fast as other bodies go in one direction does not constitute a going round in the opposite one - as the astronomers would have us believe! And, since all this absurdity has been rendered necessary for no other purpose than to help other absurdities along, it is clear that the astronomers are on the wrong track; and it needs no long train of reasoning to show that we have found a proof that the Earth is not a globe.

One of the most common objects reflected in this way is blue sky, which our brains interpret as light reflecting off a body of water. The reflected image appears below the object, which is why we call this an inferior mirage. The layer of warm air near the surface acts much like an ordinary mirror. As a mirror reverses direction left to right, an inferior mirage reverses direction from top to bottom (you see the same thing with a mirror if you tilt your head 90 degrees and look at reflections in the mirror.) The reversal happens because light from the top of a distant object will reflect closer to the observer than light from the bottom of the object. Therefore, inferior mirages usually appear inverted. Early in the morning or late in the afternoon, solar heating of the ground is not nearly as great, so inferior mirages are less likely to happen then. The same is true during autumn and winter when the sun is much lower in the sky.


69.) Mr. Lockyer says: "The appearances connected with the rising and setting of the Sun and stars may be due either to our earth being at rest and the Sun and stars traveling round it, or the earth itself turning round, while the Sun and stars are at rest." Now, since true science does not allow of any such beggarly alternatives as these, it is plain that modern theoretical astronomy is not true science, and that its leading dogma is a fallacy. We have, then, a plain proof that the Earth is not a globe.
moving in all manner of directions – yes, and frequently, in different directions at the same time – from west to east being as frequent a direction as any other. . Now, if the Earth were a globe, revolving through space from west to east at the rate of nineteen miles in a second, the clouds appearing to us to move towards the east would have to move quicker than nineteen miles in a second to be thus seen; whilst those which appear to be moving in the opposite direction would have no necessity to be moving at all, since the motion of the Earth would be more than sufficient to cause the appearance. But it only takes a little common sense to show us that it is the clouds that move just as they appear to do, and that, therefore, the Earth is motionless. We have, then a proof that the Earth is not a globe.
I have been an advocate for the flat earth for months thanks to your research. I have been debating my family and even got grounded by my parents a couple times when i lost my patience (I was still in high school at the time). I have weakened relationships and even lost friends all together because of my need to show those around me the truth. I completely believe the earth is flat and want to spread the message as much as possible. I have downloaded and printed multiple copies of your 200 proof book and dispersed them to my friends and even their parents. I am letting you know this because i was banned from The International Flat Earth Research Society i believe twice now. I either created a thread when i shouldn't have or an admin took me as a shill. I even messaged you a couple months ago about an introduction, math proof, and index i made to supplement your 200 proof book. This all being said i can not allow myself to be banned from the forum as i need to learn more. Please do not ignore this message and help me someway be able to access the forum again.
The biggest indicators that Supertramp would never reunite came through a couple of interviews with Roger Hodgson. Hodgson interviewed with Billboard in 2012 and talked about the 2010 anniversary. He said of the possibility, “…That was probably the last opportunity for us to do anything together again. And to tell you the truth, I’ve been very, very happy doing what I do. I feel like I’m able to give what I want to give in my shows, but I know there’s certain magic and mystique and a lot of memories connected to the name. I gave it my best shot (billboard.com).” Later in 2015, Hodgson admitted during another interview that a reunion isn’t important to him anymore after the 2010 discussions. He said that Supertramp was a great band and an adventure that ended years ago (abc.es/rogerhodgson.com). Hodgson also  clarified that the current Supertramp is a brand name owned by Rick Davies.
23) Ball-believers often claim “gravity” magically and inexplicably drags the entire lower-atmosphere of the Earth in perfect synchronization up to some undetermined height where this progressively faster spinning atmosphere gives way to the non-spinning, non-gravitized, non-atmosphere of infinite vacuum space. Such non-sensical theories are debunked, however, by rain, fireworks, birds, bugs, clouds, smoke, planes and projectiles all of which would behave very differently if both the ball-Earth and its atmosphere were constantly spinning Eastwards at 1000mph.
173) NASA has several alleged photographs of the ball-Earth which show several exact duplicate cloud patterns! The likelihood of having two or three clouds of the exact same shape in the same picture is as likely as finding two or three people with exactly the same fingerprints. In fact it is solid proof that the clouds were copied and pasted in a computer program and that such pictures showing a ball-shaped Earth are fakes.

99) Viewed from a ball-Earth, Polaris, situated directly over the North Pole, should not be visible anywhere in the Southern hemisphere. For Polaris to be seen from the Southern hemisphere of a globular Earth, the observer would have to be somehow looking “through the globe,” and miles of land and sea would have to be transparent. Polaris can be seen, however, up to over 20 degrees South latitude.
It is well known that the law, regulating the apparent decrease in the size of objects as we leave them in the distance (or as they leave us) is very different with luminous bodies from what it is in the case of those which are non-luminous. Sail past the light of a small lamp in a row-boat on a dark night, and it will seem to be no smaller when a mile off than it was when close to it. Proctor says, in speaking of the Sun: "his apparent size does not change!" - far off or near. And then he forgets the fact! Mr. Proctor tells us, subsequently, that, if the traveler goes so far south that the North Star appears on the horizon, "the Sun should therefore look much larger" - if the Earth were a plane! Therefore, he argues, "the path followed cannot have been the straight course," - but a curved one. Now, since it is nothing but common scientific trickery to bring forward, as an objection to stand in the way of a plane Earth, the non-appearance of a thing which has never been known to appear at all, it follows that, unless that which appears to be trickery were an accident, it was the only course open to the objector - to trick. (Mr. Proctor, in a letter to the "English Mechanic" for Oct. 20,1871, boasts of having turned a recent convert to the Zetetic Philosophy by telling him that his arguments were all very good, but that "it seems as though [Mark the language!] the sun ought to look nine times larger in summer." And Mr. Proctor concludes thus: "He saw, indeed, that, in his faith in "Parallax," he had "written himself down an ass.") Well, then: trickery or no trickery on the part of the objector, the objection is a counterfeit - a fraud - no valid objection at all; and it follows that the system which does not purge itself of these things is a rotten system, and the system which advocates, with Mr. Proctor at their head, a weapon to use - the Zetetic philosophy of "Parallax" - is destined to live! This is a proof that the Earth is not a globe.
129) To quote William Carpenter, “Why, in the name of common sense, should observers have to fix their telescopes on solid stone bases so that they should not move a hair's-breadth, - if the Earth on which they fix them moves at the rate of nineteen miles in a second? Indeed, to believe that ‘six thousand million million million tons’ is ‘rolling, surging, flying, darting on through space for ever’ with a velocity compared with which a shot from a cannon is a ‘very slow coach,’ with such unerring accuracy that a telescope fixed on granite pillars in an observatory will not enable a lynx-eyed astronomer to detect a variation in its onward motion of the thousandth part of a hair's-breadth is to conceive a miracle compared with which all the miracles on record put together would sink into utter insignificance. Since we can, (in middle north latitudes), see the North Star, on looking out of a window that faces it - and out of the very same corner of the very same pane of glass in the very same window - all the year round, it is proof enough for any man in his senses that we have made no motion at all and that the Earth is not a globe.”
 192) Quoting “Terra Firma” by David Wardlaw Scott, “The system of the Universe, as taught by Modern Astronomers, being founded entirely on theory, for the truth of which they are unable to advance one single real proof, they have entrenched themselves in a conspiracy of silence, and decline to answer any objections which may be made to their hypotheses … Copernicus himself, who revived the theory of the heathen philosopher Pythagoras, and his great exponent Sir Isaac Newton, confessed that their system of a revolving Earth was only a possibility, and could not be proved by facts. It is only their followers who have decorated it with the name of an ‘exact science,’ yea, according to them, ‘the most exact of all the sciences.’ Yet one Astronomer Royal for England once said, speaking of the motion of the whole Solar system: ‘The matter is left in a most delightful state of uncertainty, and I shall be very glad if any one can help me out of it.’ What a very sad position for an ‘exact science’ to be in is this!”

190) Cultures the world over throughout history have all described and purported the existence of a geocentric, stationary flat Earth. Egyptians, Indians, Mayans, Chinese, Native Americans and literally every ancient civilization on Earth had a geocentric flat-Earth cosmology. Before Pythagoras, the idea of a spinning ball-Earth was non-existent and even after Pythagoras it remained an obscure minority view until 2000 years later when Copernicus began reviving the heliocentric theory.

If you look out the window on a trans-Atlantic flight, you can, most of the times, see the curvature of the Earth on the horizon. The best view of the curvature used to be on the Concorde, but that plane’s long gone. I can’t wait to see the pictures from the new plane by Virgin Galactic—the horizon should look absolutely curved, as it actually is from a distance.


If the earth is flat we are held hostage to one of the biggest hoaxes of the last 500 hundred years of human existence. Every day I see evidence of the flat earth. Just look at how at time the clouds are not moving at all --completely still. If the earth was spinning at 1600 klms per hour --how could it be that at times the clouds are completely still not moving in the sky at all.(how could the clouds be moving at the same speed as the rotating earth?)When you look at a long distant horizon --from right to left --there is no curviture in the earth whatsoever. If you try to point this out to people they will think you have lost your mind.. we have been brainwashed to believe a lie which is very difficult to prove to the world populous that there is a flat earth. The deception is wrapped in scientific mumbo jumbo which is very easy to accept as it is backed up by a lot of scientific explanation--if you want to take the easy way out--you just accept that the earth is a globe spinning at 1600 klms per hour . But how does all the water of the seas stay stuck to the planet when the earth is spinning around at 1600 klms per hour? (gravity cannot hold water upside down--water will flow to the lowest point--how can that happen on a spinning globe?)
In the past 60 years of space exploration, we’ve launched satellites, probes, and people into space. Some of them got back, some of them still float through the solar system (and almost beyond it), and many transmit amazing images to our receivers on Earth. In all of these photos, the Earth is (wait for it) spherical. The curvature of the Earth is also visible in the many, many, many, many photos snapped by astronauts aboard the International Space Station. You can see a recent example from ISS Commander Scott Kelly's Instagram right here:
In other words: If so many planets that were created in different locations and under different circumstances show the same property, it’s likely that our own planet has the same property as well. All of our observations show that other planets are spherical (and since we know how they’re created, it’s also obvious why they take this shape). Unless we have a very good reason to think otherwise (which we don’t), our planet is very likely the same.
Regarding the "traveling at the same speed" idea. When in an aircraft, two people can toss a ball to each other. From the POV of those Inside, the ball is moving at normal ball tossing speed. From the POV of those outside, the ball is being gently tossed to over 500kph and the catcher catchers it without problem. If this is the "everything on the planet moving at the same speed" idea in action. Which does make it possible to travel in either direction.
19.) Every man in his senses goes the most reasonable way to work to do a thing. Now, astronomers (one after another – following a leader), while they are telling us that Earth is a globe, are cutting off the upper half of this suppositious globe in their books, and, in this way, forming the level surface on which they describe man as living and moving! Now, if the Earth were really a globe, this would be just the most unreasonable and suicidal mode of endeavoring to show it. So that, unless theoretical astronomers are all out of their senses together, it is, clearly, a, proof that the Earth is not a globe.
If we refer to the diagram in "Cornell's Geography," page 4, and notice the ship in its position the most remote from the observer, we shall find that, though it is about 4,000 miles away, it is the same size as the ship that is nearest to him, distant about 700 miles! This a an illustration of the way in which astronomers ignore the laws of perspective. This course is necessary, or they would be compelled to lay bare the fallacy of their dogmas. In short, there is, in this matter, a proof that the Earth is not a globe.
Amazing. I posted this video a little over two weeks ago. In two weeks it has as many views as all of my posts did over an 8 year period of time. Why? I have noticed that I had way more likes than dislikes for the first two weeks. Now the tilt is to dislikes. Why? Because the globe earthers don't like this. It is too simple. "We have to kill this!" they think. But, you cannot kill truth. Flat earth is true. Your moon landing and your pictures of earth, Jupiter, and the moon are false. NASA's images are computer generated images and are false. The tide is turning. Truth is prevailing!

We have abundance of evidence that the Sun moves daily round and over the Earth in circles concentric with the northern region over which hangs the North Star; but, since the theory of the Earth being a globe is necessarily connected with the theory of its motion round the Sun in a yearly orbit, it falls to the ground when we bring forward the evidence of which we speak, and, in so doing, forms a proof that the Earth is not a globe.
The last science museum I was in was Houston Texas. The motion of the rotating earth would in no way create a motion of an independently moving earth under the fixed pendulum's point! The motion (or effect of rotation) would be perpendicular. or better said, the earth's rotation would be pushing the pendulum left to right, as the last time I checked, Houston is on the SIDE of the earth. The proper movement of the pendulum? Maybe a longer push when the swinging movement aligned with the motion of the earth. But in no possible way could the pendulum do what it is doing, and NOT be at the North pole. Do you get me? am I wrong? -md
It is plain that a theory of measurements without a measuring-rod is like a ship without a rudder; that a measure that is not fixed, not likely to be fixed, and never has been fixed, forms no measuring-rod at all; and that as modern theoretical astronomy depends upon the Sun's distance from the Earth as its measuring-rod, and the distance is not known, it is a system of measurements without a measuring-rod - a ship without a rudder. Now, since it is not difficult to foresee the dashing of this thing upon the rock on which Zetetic astronomy is founded, it is a proof that Earth is not a globe.
One of the most common objects reflected in this way is blue sky, which our brains interpret as light reflecting off a body of water. The reflected image appears below the object, which is why we call this an inferior mirage. The layer of warm air near the surface acts much like an ordinary mirror. As a mirror reverses direction left to right, an inferior mirage reverses direction from top to bottom (you see the same thing with a mirror if you tilt your head 90 degrees and look at reflections in the mirror.) The reversal happens because light from the top of a distant object will reflect closer to the observer than light from the bottom of the object. Therefore, inferior mirages usually appear inverted. Early in the morning or late in the afternoon, solar heating of the ground is not nearly as great, so inferior mirages are less likely to happen then. The same is true during autumn and winter when the sun is much lower in the sky.
132) The Sun’s light is golden, warm, drying, preservative and antiseptic, while the Moon’s light is silver, cool, damp, putrefying and septic. The Sun’s rays decrease the combustion of a bonfire, while the Moon’s rays increase combustion. Plant and animal substances exposed to sunlight quickly dry, shrink, coagulate, and lose the tendency to decompose and putrify; grapes and other fruits become solid, partially candied and preserved like raisins, dates, and prunes; animal flesh coagulates, loses its volatile gaseous constituents, becomes firm, dry, and slow to decay. When exposed to moonlight, however, plant and animal substances tend to show symptoms of putrefaction and decay. This proves that Sun and Moon light are different, unique, and opposites as they are in the geocentric flat model.
As previously mentioned, the reaction of bodies of water with sunlight is very different from that of land. Being largely transparent, light penetrates deeply into water, so that the sun’s light is absorbed throughout a thick layer from the surface to some depth rather than just on the surface, as with land. Additionally, water has a high specific heat, which means that its temperature increases very slowly as heat is added. Consequently, water exposed to sunlight does not change temperature appreciably throughout the day, so there is no heating of air in contact with the water. If anything, during summer afternoons, when land is rapidly heating, bodies of water frequently are cooler than air temperature. The cooler water chills the air in direct contact with it, so the air lying just above water often is cooler than air higher up. Since air temperature normally decreases with height, this temperature reversal from the norm is called a temperature inversion. Temperature inversions are common over bodies of water during late spring and into summer. Since this temperature structure is the reverse of what causes inferior mirages, inferior mirages are far less commonly noticed over water. This happens particularly during the summer, when inferior mirages are common over land.
42.) It is certain that the theory of the Earth's rotundity and that of its mobility must stand or fall together. A proof, then, of its immobility is virtually a proof of its non-rotundity. Now, that the Earth does not move, either on an axis, or in an orbit round the Sun or anything else, is easily proven. If the Earth went through space at the rate of eleven-hundred miles in a minute of time, as astronomers teach us, in a particular direction, there would unquestionably be a, difference in the result of firing off a projectile in that direction and in a direction the opposite of that one. But as, in fact, there is not the slightest difference in any such case, it is clear that any alleged motion of the Earth is disproved, and that, therefore, we have a proof that the Earth is not a globe.
In 2004, the society was resurrected by a man named Daniel Shenton (no relation to Samuel), who created the Flat Earth Society forum, which as of February 2016 has over 8,200 members and 1.4 million posts.[3] In addition, the forum runs a Facebook page with over 14,000 likes,[4] Twitter,[5] Instagram,[6] and Tumblr profiles with several thousand followers each, and a Flickr profile[7] where they advertise a variety of different posters with proofs for why the world is flat. In addition, a variety of independent researchers have attempted to prove that the earth is flat, documenting their work in YouTube videos.[8] The most popular of these videos (shown below) has over 4 million views.
where P and T are the pressure and temperature of air, and P0 and T0 are the standard values of one atmosphere of pressure and 300K. Since with mirages there is no appreciable height difference, pressure differences are negligible, and so the temperature difference dominates differences in the index of refraction. When light travels from one medium to another, the path of the light is refracted, or bent. This is what causes the “bent stick” appearance of a long object partially inserted in water, such as a pole placed into the water of a pool. This behavior is described by Snell’s law:
As to the supposed "motion of the whole Solar system in space," the Astronomer Royal of England once said: "The matter is left in a most delightful state of uncertainty, and I Shall be very glad if anyone can help us out of it." But, since the whole Newtonian scheme is, today, in a most deplorable state of uncertainty - for, whether the Moon goes round the Earth or the Earth round the Moon has, for years, been a matter of "raging" controversy it follows that, root and branch, the whole thing, is wrong; and, all hot from the furnace of philosophical phrensy, we find a glowing proof that the Earth is not a globe.
180) The spinning ball model dictates that the Earth and atmosphere would be moving together at approximately 500mph at the mid-latitudes where an LA to NYC flight takes place. The average commercial airliner traveling 500mph takes 5.5 hours traveling East with the alleged rotation of the Earth, so the return flight West should take only 2.75 hours, but in fact we find the average NYC to LA flight takes 6 hours, a flight time totally inconsistent with the spinning ball model.
69.) Mr. Lockyer says: "The appearances connected with the rising and setting of the Sun and stars may be due either to our earth being at rest and the Sun and stars traveling round it, or the earth itself turning round, while the Sun and stars are at rest." Now, since true science does not allow of any such beggarly alternatives as these, it is plain that modern theoretical astronomy is not true science, and that its leading dogma is a fallacy. We have, then, a plain proof that the Earth is not a globe.
5.) The lights which are exhibited in lighthouses are seen by navigators at distances at which, according to the scale of the supposed "curvature" given by astronomers, they ought to be many hundreds of feet, in some cases, down below the line of sight! For instance: the light at Cape Hatteras is seen at such a distance (40 miles) that, according. to theory, it ought to be nine-hundred feet higher above the level of the sea than it absolutely is, in order to be visible! This is a conclusive proof that there is no "curvature," on the surface of the sea – "the level of the sea,"- ridiculous though it is to be under the necessity of proving it at all: but it is, nevertheless, a conclusive proof that the Earth is not a globe.
161) If Earth were really a ball, there would be no reason to use rockets for flying into “outer-space” anyway because simply flying an airplane straight at any altitude for long enough should and would send you off into outer-space. To prevent their airplanes from flying tangent to the ball-Earth, pilots would have to constantly course-correct downwards, or else within just a few hours the average commercial airliner traveling 500mph would find themselves lost in “outer-space.” The fact that this never happens, artificial horizons remain level at pilot’s desired altitudes and do NOT require constant downwards adjustments, proves the Earth is not a ball.
The remark is common enough that we can see the circle of the Earth if we cross the ocean, and that this proves it to be round. Now, if we tie a donkey to a stake on a level common, and he eats the grass all around him, it is only a circular disc that he has to do with, not a spherical mass. Since, then, circular discs may be seen anywhere - as well from a balloon in the air as from the deck of a ship, or from the standpoint of the donkey, it is a proof that the surface of the Earth is a plane surface, and, therefore, a proof that the Earth is not a globe.

I started reading this e-book today and finished it today. Great Work ! I have to say, even if approached flat-earth model fistly 3 month ago, this Book really opened my eyes completely and still i know how strong the Brainwash is and even if you - by ratio - see something clear, it will still need a time to be completely internalized. Thx alot, greetingz from Germany also i was able to watch the video below, which oc is blocked in Germany, but this led me to HotSpotShield, also very important for a native German, greetingz from Frankfurt/Germany, Benjamin
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