When the sun rises in the morning its light is just coming into view.  The sun's light then follows it as it journeys away from you, appearing to descend below the horizon. In reality it is not "going down" but moving away from you and going beyond the line of convergence and your eyesight. It takes it's light with it. You can clearly see this in time lapse videos of the sun moving away, causing a sunset. 

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.
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.”

Man's experience tells him that he is not constructed like the flies that can live said move upon the ceiling of a room with as much safety as on the floor: - and since the modern theory of a planetary earth necessitates a crowd of theories to keep company with it, and one of them is that men are really bound to. the earth by a force which fastens them to it "like needles round a spherical loadstone," a theory perfectly outrageous and opposed to all human experience, it follows that, unless we can trample upon common sense ane ignore the teachings of experience, we have an evident proof that the Earth is not a globe.
If the Earth were a globe, it would certainly have to be as large as it is said to be - twenty-five thousand miles in circumference. Now, the thing which I have called a "proof" of the Earth's roundness, and which is presented to children at school, is, that if we stand on the seashore we may see the ships, as they approach us, absolutely "coming up," and that, as we are able to see the highest parts of these ships first, it is because the lower parts are "behind the earth's curve." Now since if this were the case - that is, if the lower parts of these ships were behind a "hill of water" - the size of the Earth, indicated by such a curve as this, would be so small that it would only be big enough to hold the people of a parish, if they could get all round it, instead of the nations of the world, it follows that the idea is preposterous; that the appearance is due to another and to some reasonable cause; and that, instead of being a proof of the globular form of the Earth, it is a proof that at Earth is not a globe.
123) Heliocentrists’ astronomical figures always sound perfectly precise, but they have historically been notorious for regularly and drastically changing them to suit their various models. For instance, in his time Copernicus calculated the Sun’s distance from Earth to be 3,391,200 miles. The next century Johannes Kepler decided it was actually 12,376,800 miles away. Issac Newton once said, “It matters not whether we reckon it 28 or 54 million miles distant for either would do just as well!” How scientific!? Benjamin Martin calculated between 81 and 82 million miles, Thomas Dilworth claimed 93,726,900 miles, John Hind stated positively 95,298,260 miles, Benjamin Gould said more than 96 million miles, and Christian Mayer thought it was more than 104 million! Flat-Earthers throughout the ages, conversely, have used sextants and plane trigonometry to make such calculations and found the Sun and Moon both to be only about 32 miles in diameter and less than a few thousand miles from Earth.

85.) There are rivers which flow east, west, north, an south – that is, rivers are flowing in all directions over the Earth's surface, and at the same time. Now, if the Earth were a globe, some of these rivers would be flowing up-hill and others down, taking it for a fact that there really is an "up" and a "down" in nature, whatever form she assumes. But, since rivers do not flow up-hill, and the globular theory requires that they should, it is a proof that the Earth is not a globe.
The most commonly accepted explanation of this is that the space agencies of the world are involved in a conspiracy faking space travel and exploration. This likely began during the Cold War's 'Space Race', in which the USSR and USA were obsessed with beating each other into space to the point that each faked their accomplishments in an attempt to keep pace with the other's supposed achievements. Since the end of the Cold War, however, the conspiracy is most likely motivated by greed rather than political gains, and using only some of their funding to continue to fake space travel saves a lot of money to embezzle for themselves.
"Yes, but we can circumnavigate the South easily enough," is often said by those who don't know, The British Ship Challenger recently completed the circuit of the Southern region - indirectly, to be sure - but she was three years about it, and traversed nearly 69,000 miles - a stretch long enough to have taken her six times round on the globular hypothesis. This is a proof that Earth is not a globe.

126) The Sun’s annual journey from tropic to tropic, solstice to solstice, is what determines the length and character of days, nights and seasons. This is why equatorial regions experience almost year-round summer and heat while higher latitudes North and especially South experience more distinct seasons with harsh winters. The heliocentric model claims seasons change based on the ball-Earth’s alleged “axial tilt” and “elliptical orbit” around the Sun, yet their flawed current model places us closest to the Sun (91,400,000 miles) in January when its actually winter, and farthest from the Sun (94,500,000 miles) in July when its actually summer throughout most of the Earth.
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.
4) If Earth were a ball 25,000 miles in circumference as NASA and modern astronomy claim, spherical trigonometry dictates the surface of all standing water must curve downward an easily measurable 8 inches per mile multiplied by the square of the distance. This means along a 6 mile channel of standing water, the Earth would dip 6 feet on either end from the central peak. Every time such experiments have been conducted, however, standing water has proven to be perfectly level.

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.
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.
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.
147) The ball-Earth model claims the Sun is precisely 400 times larger than the Moon and 400 times further away from Earth making them “falsely” appear exactly the same size. Once again, the ball model asks us to accept as coincidence something that cannot be explained other than by natural design. The Sun and the Moon occupy the same amount of space in the sky and have been measured with sextants to be of equal size and equal distance, so claiming otherwise is against our eyes, experience, experiments and common sense.
How is it possible to see day and night at the same time on a globe? Wouldn't the curve prevent you from seeing the moon since it would be in the other side of the globe? And how can you see the moon over the FLAT ocean while also seeing the sunrise? In the following video you will see day and night clearly divided on a flat plane! You will see an airplane flying level on a flat earth with day and night divided. Watch as it becomes night and the day again as the airplane catches up with the sun. The airplane however never dips is nose down to compensate for the curve. The sun is also shown to be illuminating locally and the light follows is as it moves away on the flat earth, creating day and night.
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.
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