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The Sun, as he travels round over the surface of the Earth, brings ‘noon’ to all places on the successive meridians which he crosses: his journey being made in a westerly direction, places east of the Sun’s position have had their noon, whilst places to the west of the Sun’s position have still to get it. Therefore, if we travel easterly, we arrive at those parts of the Earth where ‘time’ is more advanced, the watch in our pocket has to be ‘put on’ or we may be said to ‘gain time.’ If, on the other hand, we travel westerly, we arrive at places where it is still ‘morning,’ the watch has to be ‘put back,’ and it may be said that we ‘lose time.’ But, if we travel easterly so as to cross the 180th meridian, there is a loss, there, of a day, which will neutralize the gain of a whole circumnavigation; and, if we travel westerly, and cross the same meridian, we experience the gain of a day, which will compensate for the loss during a complete circumnavigation in that direction. The fact of losing or gaining time in sailing round the world, then, instead of being evidence of the Earth’s ‘rotundity,’ as it is imagined to be, is, in its practical exemplification, an everlasting proof that the Earth is not a globe.” -William Carpenter, “100 Proofs the Earth is Not a Globe” (100)

Another favorite “proof” of ball-Earthers is the appearance from an observer on shore of ships’ hulls being obfuscated by the water and disappearing from view when sailing away towards the horizon. Their claim is that ship’s hulls disappear before their mast-heads because the ship is beginning its declination around the convex curvature of the ball-Earth. Once again, however, their hasty conclusion is drawn from a faulty premise, namely that only on a ball-Earth can this phenomenon occur. The fact of the matter is that the Law of Perspective on plane surfaces dictates and necessitates the exact same occurrence. For example a girl wearing a dress walking away towards the horizon will appear to sink into the Earth the farther away she walks. Her feet will disappear from view first and the distance between the ground and the bottom of her dress will gradually diminish until after about half a mile it seems like her dress is touching the ground as she walks on invisible legs. The same happens with cars speeding away, the axles gradually get lower and the wheels vanish until it appears as if the car is gliding along its body. Such is the case on plane surfaces, the lowest parts of objects receding from a given point of observation necessarily disappear before the highest.

This law of Perspective meets us on every hand; and cannot be gainsaid. If, in a straight line, we look at a frozen lake from a certain distance, we shall observe people who appear to be skating on their knees, but, if we approach sufficiently near, we shall see them performing graceful motions on their feet. Farther, if we look through a straight tunnel, we shall notice that the roof and the roadway below converge to a point of light at the end. It is the same law which makes the hills sink, to the horizon, as the observer recedes, which explains how the ship’s hull disappears in the offing. I would also remark that when the sea is undisturbed by waves, the hull can be restored to sight by the aid of a good telescope long after it has disappeared from the naked eye, thus proving that the ship had not gone down behind the watery hill of a convex globe, but is still sailing on the level of a Plane sea.” -David Wardlaw Scott, “Terra Firma” (75)

Not only is the disappearance of ship’s hulls explained by the Law of Perspective, it is proven undeniably true with the aid of a good telescope. If you watch a ship sailing away into the horizon with the naked eye until its hull has completely disappeared from view under the supposed “curvature of the Earth,” then look through a telescope, you will notice the entire ship quickly zooms back into view, hull and all, proving that the disappearance was caused by the Law of Perspective, and not by a wall of curved water!

On any frozen lake or canal, notably on the ‘Bedford Canal,’ in the county of Cambridge, in winter and on a clear day, skaters may be observed several miles away, seeming to glide along upon limbs without feet--skates and boots quite invisible to the unaided eye, but distinctly visible through a good telescope. But even on the sea, when the water is very calm, if a vessel is observed until it is just ‘hull down,’ a powerful telescope turned upon it will restore the hull to sight. From which it must be concluded that the lower part of a receding ship disappears through the influence of perspective, and not from sinking behind the summit of a convex surface.” -Dr. Samuel Rowbotham, “Zetetic Astronomy, Earth Not a Globe!” (216)

Ball-Earthers will often quip that “if the Earth were flat, then we could see all over it!” but this is of course ignorant and inaccurate. If you stand on the beach, a plain or prairie, you will find the horizon extends about three to six miles around you depending on the weather and your eyesight. The range of the human eye, our field of vision is from 110 to 1 degree, and the smallest angle under which an object can still be seen is 1/60 of 1 degree, so that when an object is 3000 times its own diameter away from an observer, it will cease to be visible. So for example, the farthest distance at which one can see a 1 inch diameter penny, is 3000 inches, or 250 feet. Therefore, if a ship’s hull is 10 feet above the water, it will disappear from the unaided eye at 3000 times 10 feet, or 6 miles. This has nothing to do with the supposed “convexity” or “curvature” of the Earth and everything to do with the common Law of Perspective.