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:
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.
The astronomers' theory of a globular Earth necessitates the conclusion that, if we travel south of the equator, to see the North Star is an impossibility. Yet it is well known this star has been seen by navigators when they have been more than 20 degrees south of the equator. This fact, like hundreds of other facts, puts the theory to shame, and gives us a proof that the Earth is not a globe.
Astronomers, in their consideration of the supposed "curvature" of the Earth, have carefully avoided the taking of that view of the question which - if anything were needed to do so -would show its utter absurdity. It is this: - if, instead of taking our ideal point of departure to be at Valentia, we consider ourselves at St. John's, the 1665 miles of water between us and Valentia would just as well "curvate" downwards as it did in the other case! Now, since the direction in which the Earth is said to "curvate" is interchangeable - depending, indeed, upon the position occupied by a man upon its surface - the thing is utterly absurd; and it follows that the theory is an outrage , and that the Earth does not "curvate" at all: - an evident proof that the Earth is not a globe.
The best way to see through deception is to search for the Truth! We are going to look at the creation account in the first chapter of Genesis and see what it says about the Earth. Keep in mind that God, who created the Earth, also wrote the Bible through inspired men. God, the author of creation and the Bible, knows true science, because He created it. 

79.) 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.
Besides the above difficulties or incompatibilities, many cases are on record of the sun and moon being eclipsed when both were above the horizon. The sun, the earth, and the moon, not in a straight line, but the earth below the sun and moon–out of the reach or direction of both–and yet a lunar eclipse has occurred! Is it possible that a “shadow” of the earth could be thrown upon the moon, when sun, earth, and moon, were not in the same line? The difficulty has been met by assuming the influence of refraction, as in the following quotations:–
Astronomers tell us that, in consequence of the Earth's "rotundity," the perpendicular walls of buildings are, nowhere, parallel, and that even the walls of houses on opposite sides of a street are not! But, since all observation fails to find any evidence of this want of parallelism which theory demands, the idea must be renounced as being absurd and in opposition to all well-known facts. This is a proof that the Earth is not a globe.
Look up Admiral Byrd's tape from the 1920's (you-tube) he told us of the many continents beyond ours, all on the same plane. He said it would take years to explore them all. Then he retired from the navy and they started NASA to hide all that stuff. Yep thousands of NASA employees know the truth and are trained to keep us stupid. shows like coast to coast will never talk about the flat earth, wont even discus it, only to say NASA is correct case closed. Sounds like brain washing to me.

199) From “Foundations of Many Generations” by E. Eschini, “The one thing the fable of the revolving Earth has done, it has shown the terrible power of a lie, a lie has the power to make a man a mental slave, so that he dares not back the evidence of his own senses. To deny the plain and obvious movement of the Sun he sees before him. When he feels himself standing on an Earth utterly devoid of motion, at the suggestion of someone else he is prepared to accept that he is spinning furiously round. When he sees a bird flying, and gaining over the ground, he is prepared to believe that the ground is really travelling a great number of times faster than the bird, finally, in order to uphold the imagination of a madman, he is prepared to accuse his Maker of forming him a sensiferous lie.”


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.
162) All NASA and other “space agencies” rocket launches never go straight up. Every rocket forms a parabolic curve, peaks out, and inevitably starts falling back to Earth. The rockets which are declared “successful” are those few which don’t explode or start falling too soon but make it out of range of spectator view before crashing down into restricted waters and recovered. There is no magic altitude where rockets or anything else can simply go up, up, up and then suddenly just start “free-floating” in space. This is all a science-fiction illusion created by wires, green-screens, dark pools, some permed hair and Zero-G planes.
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.
Then scriptures say at 1 John 5:19 that "the whole world is lying in the power of the Wicked One". The people who are ultimately responsible for this deception, the NWO folks, Free Masons, and illuminati are being controlled by SATAN and his demons, to "blind the minds" of us. This deception started with the "mysteries" before Babylonian times during the times of Chaldeans and descendants of Nimrod. No human could have continued this deception for so many CENTURIES. Only a being like one who has been in existence since before the earth was. is plenty more I would like to share with the flat earthers. It all is in complete agreement with what Eric has shared, which, has actually validated my beliefs per se. I am total agreement with you guys about NASA. I am a retired space shuttle engineer. I always knew they couldn"t escape the "Van Allen" belts, but only until a little less than a myear ago did I understand what a firmament was. Eric you are great!!!

189) The Bible, Koran, Srimad Bhagavatam, and many other holy books describe and purport the existence of a geocentric, stationary flat Earth. For example, 1 Chronicles 16:30 and Psalm 96:10 both read, “He has fixed the earth firm, immovable.” And Psalm 93:1 says, “The world also is stablished, that it cannot be moved.” The Bible also repeatedly affirms that the Earth is “outstretched” as a plane, with the outstretched heavens everywhere above (not all around) giving a scriptural proof the Earth is not a spinning ball.
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!
159) If there were progressively faster and faster spinning atmosphere the higher the altitude that would mean it would have to abruptly end at some key altitude where the fastest layer of gravitized spinning atmosphere meets the supposed non-gravitized non-spinning non-atmosphere of infinite vacuum space! NASA has never mentioned what altitude this impossible feat allegedly happens, but it is easily philosophically refuted by the simple fact that vacuums cannot exist connected to non-vacuums while maintaining the properties of a vacuum – not to mention, the effect such a transition would have on a rocket “space ship” would be disastrous.
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20. The common sense of man tells him - if nothing else told him - that there is an "up" and a "down" in -nature, even as regards the heavens and the earth; but the theory of modern astronomers necessitates the conclusion that there is not: therefore, 'the theory of the astronomers is opposed to common sense - yes, and to inspiration - and this is a common sense proof that the Earth is not a globe
It is often said that the predictions of eclipses prove astronomers to be right in their theories. But it is not seen that this proves too much. It is well known that Ptolemy predicted eclipses for six-hundred years, on the basis of a plane Earth, with as much accuracy as they are predicted by modern observers. If, then, the predictions prove the truth of the particular theories current at the time, they just as well prove one side of the question as the other, and enable us to lay claim to a proof that the Earth is not a globe.

113) The idea that people are standing, ships are sailing and planes are flying upside down on certain parts of Earth while others tilted at 90 degrees and all other impossible angles is complete absurdity. The idea that a man digging a hole straight down could eventually reach sky on the other side is ludicrous. Common sense tells every free-thinking person correctly that there truly is an “up” and “down” in nature, unlike the “everything is relative” rhetoric of the Newtonian/Einsteinian paradigm.

92.) "There is no inconsistency in supposing that the earth does move round the sun," says the Astronomer Royal of England. Certainly not, when theoretical astronomy is all supposition together! The inconsistency is in teaching the world that the thing supposed is a fact. Since, then, the "motion" of the Earth is supposition only – since, indeed, it is necessary to suppose it at all – it is plain that it is a fiction and not a fact; and, since "mobility" and "sphericity" stand or fall together, we have before us a proof that Earth is not a globe.
30) In his book “South Sea Voyages,” Arctic and Antarctic explorer Sir James Clarke Ross, described his experience on the night of November 27th, 1839 and his conclusion that the Earth must be motionless: “The sky being very clear … it enabled us to observe the higher stratum of clouds to be moving in an exactly opposite direction to that of the wind--a circumstance which is frequently recorded in our meteorological journal both in the north-east and south-east trades, and has also often been observed by former voyagers. Captain Basil Hall witnessed it from the summit of the Peak of Teneriffe; and Count Strzelechi, on ascending the volcanic mountain of Kiranea, in Owhyhee, reached at 4000 feet an elevation above that of the trade wind, and experienced the influence of an opposite current of air of a different hygrometric and thermometric condition … Count Strzelechi further informed me of the following seemingly anomalous circumstance--that at the height of 6000 feet he found the current of air blowing at right angles to both the lower strata, also of a different hygrometric and thermometric condition, but warmer than the inter-stratum. Such a state of the atmosphere is compatible only with the fact which other evidence has demonstrated, that the earth is at rest."
Both Davies and Hodgson talked of a reunion a couple of times, however, this would never come to pass. The first hint of a reunion came in 1993 when Davies and Hodgson reunited for an A & M dinner honoring Jerry Moss, co-founder of A & M Records. This dinner resulted in writing and demoing new songs, but it never went anywhere due to disagreements over management. Another hint of a reunion came in 2010 when Roger Hodgson approached Rick Davies about a fortieth anniversary of their very first album Supertramp (rogerhodgson.com). Rick Davies declined the invitation and any chance of Supertramp reuniting was squashed.
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.
On January 25th, 2016 Atlanta rapper B.o.B., who has self-identified as a member of the Flat Earth Society, tweeted a photograph of himself against a skyline, then tweeted a screenshot from Flat Earth Movement literature that proclaimed that Polaris (the North Star) can be seen 20° south of the Equator. Neil DeGrasse Tyson answered the rapper's question, writing "Polaris is gone by 1.5 deg S. Latitude. You’ve never been south of Earth’s Equator, or if so, you've never looked up."
From the second equation above, the index of refraction at one atmosphere of pressure and a temperature of 310 K (50 degrees F) is 1.000284, while the index of refraction at one atmosphere of pressure and a temperature of 320 K (68 degrees F) is 1.000275. These values yield a critical angle of 89.76 degrees. Hence, when air attempts to pass from 310 K to 320 K air at one atmosphere of pressure, the light will be totally internally reflected if the angle of incidence is greater than 89.76 degrees, or less than about a quarter of a degree from grazing incidence. If the temperature difference is greater, the critical angle will be less; hence the angle from grazing incidence will be greater.
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. 
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