The explanation for a lunar eclipse on flat earth is more difficult to prove, but the official “Scientific” NASA explanation is easy to disprove. The official globe model explanation is that the sun, earth, and moon line up perfectly and the earth then casts its shadow on the moon, creating the lunar eclipse. The main problem with this official model is that the sun AND moon have both been visible ABOVE the horizon during a lunar eclipse, making the alignment for earth’s shadow to be cast on the moon impossible!
If the Moon is a disc which faces us and whose orientation can be explained, for instance, as the head of a tennis racket as someone holds it out and turns, thus the same side of the head always faces to the inside of the circle path it travels, and if this disc faces down all the time on our FE, what purpose the craters and how did they get there?
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.
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.
31) Quoting “Zetetic Cosmogeny” Thomas Winships states: “Let ‘imagination’ picture to the mind what force air would have which was set in motion by a spherical body of 8,000 miles in diameter, which in one hour was spinning round 1,000 mph, rushing through space at 65,000 mph and gyrating across the heavens? Then let ‘conjecture’ endeavor to discover whether the inhabitants on such a globe could keep their hair on? If the earth-globe rotates on its axis at the terrific rate of 1,000 miles an hour, such an immense mass would of necessity cause a tremendous rush of wind in the space it occupied. The wind would go all one way, and anything like clouds which got ‘within the sphere of influence’ of the rotating sphere, would have to go the same way. The fact that the earth is at rest is proved by kite flying.”

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93.) We have seen that astronomers – to give us a level surface on which to live – have cut off one-half of the "globe" in a certain picture in their books. [See page 6.] Now, astronomers having done this, one-half of the substance of their "spherical theory" is given up! Since, then, the theory must stand or fall in its entirety, it has really fallen when the half is gone. Nothing remains, then, but a plane Earth, which is, of course, a proof that the Earth is not a globe.
The idea that, instead of sailing horizontally round the Earth, ships are taken down one side of a globe, then underneath, and are brought up on the other side to get home again, is, except as a mere dream, impossible and absurd! And, since there are neither impossibilities nor absurdities in the simple matter of circumnavigation, it stands without argument, a proof that the Earth is not a globe.

25.) The surveyor's plans in relation to the laying of the first Atlantic Telegraph cable, show that in 1665 miles – from Valentia, Ireland, to St . John's, Newfoundland – the surface of the Atlantic Ocean is a LEVEL surface – not the astronomers' "level," either! The authoritative drawings, published at the time, are a standing evidence of the fact, and form a practical proof that Earth is not a globe.