EDIT: I wrote this in a word document then copied and pasted it. Please excuse any missing characters. I do not have this problem on any other forum but, hey, TFES is special. You should understand why no one is really inclined to respond... it's a bit lazy of you to want it all on a silver platter. Evidence can be found all over the forums, in nice little chunks. Distances on flat earth maps are more accurate, pictures of buildings show no curvature, etc, etc etc.
But alright, I accept your challenge. First, I want you to, just for a moment, forget everything you think you know about the shape of the earth. Forget everything you think you know about it and just let your senses be your guide, see what you can find out instinctively from your own observation. Just for the time being. Now I want you to take a few minutes and step outside. Look around you. What do you see? You probably see trees, grass, fields; if you're in the city, maybe you see buildings and streets; if you're in the suburbs, you likely see lawns and other houses. Now look at what they are standing on. Are they standing on a curved surface? Remember to forget outside influences for a moment and just look for yourself. Any reasonable person will see that the earth looks flat, and not at all like a globe.
Now, round earthers will go to great lengths and come up with quite elaborate, fantastic explanations for why this is so. ?The earth IS curved,? one might tell you, ?it's just that you can't see it from that close up.? Okay, that's fine. It seems you can come up with any elaborate ?science? to disprove what is right in front of your face. So let's move on, shall we?
The following selection from one of my favorite books describes one experiment that was performed over a hundred years ago, and continues to be performed with minimal equipment and budget.
A boat, with a flag-staff, the top of the flag 5 feet above the surface of the water, was directed to sail from a place called "Welche's Dam" (a well-known ferry passage), to another called "Welney Bridge." These two points are six statute miles apart. The author, with a good telescope, went into the water; and with the eye about 8 inches above the surface, observed the receding boat during the whole period required to sail to Welney Bridge. The flag and the boat were distinctly visible throughout the whole distance! There could be no mistake as to the distance passed over, as the man in charge of the boat had instructions to lift one of his oars to the top of the arch the moment he reached the bridge. The experiment commenced about three o'clock in the afternoon of a summer's day, and the sun was shining brightly and nearly behind or against the boat during the whole of its passage. Every necessary condition had been fulfilled, and the result was to the last degree definite and satisfactory. The conclusion was unavoidable that the surface of the water for a length of six miles did not to any appreciable extent decline or curvate downwards from the line of sight. But if the earth is a globe, the surface of the six miles length of water would have been 6 feet higher in the centre than at the two extremities, as shown in diagram fig. 2; but as the telescope was only 8 inches above the water, the highest point of the surface would have been at one mile from the place of observation; and below this point the surface of the water at the end of the remaining five miles would have been 16 feet.
Let A B represent the arc of water 6 miles long, and A C the line of sight. The point of contact with the arc would be at T, a distance of one mile from the observer at A. From T to the bridge at B would be 5 miles, and the curvature from T to B would be 16 feet 8 inches. The top of the flag on the boat (which was 5 feet high) would have been 11 feet 8 inches below the horizon T, and altogether out of sight. Such a condition was not observed; but the following diagram, fig. 3, exhibits the true state of the case--A, B, the line of sight, equi-distant from or parallel with the surface of the water throughout the whole distance of 6 milts: From which it is concluded that the surface of standing water is not convex, but horizontal.
This, however, is not the only such experiment. Here are 15 others that were done.
Along the edge of the water, in the same canal, six flags were placed, one statute mile from each other, and so arranged that the top of each flag was 5 feet above the surface. Close to the last flag in the series a longer staff was fixed, bearing a flag 3 feet square, and the top of which was 8 feet above the surface of the water--the bottom being in a line with the tops of the other and intervening flags, as shown in the following diagram, Fig, 4.
On looking with a good telescope over and along the flags, from A to B, the line of sight fell on the lower part of the larger flag at B. The altitude of the point B above the water at D was 5 feet, and the altitude of the telescope at A above the water at C was 5 feet; and each intervening flag had the same altitude. Hence the surface of the water C, D, was equidistant from the line of sight A, B; and as A B was a right line, C, D, being parallel, was also a right line; or, in other words, the surface of the water, C, D, was for six miles absolutely horizontal.
If the earth is a globe, the series of flags in the last experiment would have had the form and produced the results represented in the diagram, Fig. 5. The water curvating from C to D, each flag would have been a given amount below the line A, B. The first and second flags would have determined the direction of the line of sight from A to B, and the third flag would have been 8 inches below the second; the fourth flag, 32 inches; the fifth, 6 feet; the sixth, 10 feet 8 inches; and the seventh, 16 feet 8 inches; but the top of the last and largest flag, being 3 feet higher than the smaller ones, would have been 13 feet 8 inches below the line of sight at the point B. The rotundity of the earth would necessitate the above conditions; but as they cannot be found to exist, the doctrine must be pronounced as only a simple theory, having no foundation in fact--a pure invention of misdirected genius; splendid in its comprehensiveness and bearing upon natural phenomena; but, nevertheless, mathematical and logical necessities compel its denunciation as an absolute falsehood.
The above-named experiments were first made by the author in the summer of 1838, but in the previous winter season, when the water in the "Old Bedford" Canal was frozen, he had often, when lying on the ice, with a good telescope observed persons skating and sliding at known distances of from four to eight miles. He lived for nine successive months within a hundred yards of the canal, in a temporary wooden building, and had many opportunities of making and repeating observations and experiments, which it would only be tedious to enumerate, as they all involved the same principle, and led to the same conclusions as those already described. It may, however, interest the reader to relate an instance which occurred unexpectedly, and which created such a degree of con-fusion, that he was repeatedly tempted to destroy the many memoranda he had previously made. Up to this time all his observations had been made in the direction of Welney, the bridge there affording a substantial signal point; but on one occasion, a gentleman who resided within a few miles of the temporary residence already alluded to, and with whom conversations and discussions had been repeatedly held, insisted upon the telescope being directed upon a barge sailing in an opposite direction to that previously selected. Watching the slowly receding vessel for a considerable time, it suddenly disappeared altogether! The gentleman co-observer cried out in a tone of exultation, "Now, sir, are you satisfied that the water declines?" It was almost impossible to say anything in reply. All that could be done was to "gaze in mute astonishment" in the direction of the lost vessel--compelled to listen to the jeers and taunts of the apparent victor. After thus wonderingly gazing for a considerable time, with still greater astonishment the vessel was seen to suddenly come again into view? Obliged to admit the reappearance of the vessel; neither of us could fairly claim the victory, as both were puzzled and equally in an experimental "fix." This condition of the question at issue lasted for several days, when, one evening conversing with a "gunner" (a shooter of wild fowl), upon the strange appearance referred to, he laughingly undertook to explain the whole affair. He said that at several miles away, beyond the ferry-house, the canal made a sudden bend in the shape of the letter V when lying horizontally, and that the vessel disappeared on account of its entering into one side of the triangle, and reappeared after passing down the other side and entering the usual line of the canal! After a time a large map of the canal was found in a neighbouring town, Wisbeach, and the "gunner's" statement fully verified.
The following diagram will explain this strange, and for a time confounding, phenomenon. A, represents the position of the observer, and the arrows the direction of the vessel, which, on arriving at the point B, suddenly entered the "reach" B, C, and disappeared, but which, on arriving at C, became again visible, and remained so after entering and sailing along the canal from C to D. The ferry-house and several trees, which stood on the side of the canal, between the observer and the "bend," had prevented the vessel being seen during the time it was passing from B to C. Thus the "mystery" was cleared away; the author was the real victor; and the gentleman referred to, with many others of the neighbourhood, subsequently avowed their conviction that the water in the "Bedford Level" at least, was horizontal, and they therefore could not see how the earth could possibly be a globe.
And another experiment. A good theodolite was placed on the northern bank of the canal, midway between Welney Bridge and the Old Bedford Bridge, which are fully six miles apart, as shown in diagram, fig. 7. The line of sight from the "levelled" theodolite fell upon the points B, B, at an altitude, making allowance for refraction, equal to that of the observer at T. Now the points B, B, being three miles from T, would have been the square of three, or nine times 8 inches, or 6 feet below the line of sight, C, T, C, as seen in the following diagram, fig. 8.
On several occasions the six miles of water in the old Bedford Canal have been surveyed by the so-called "forward" process of levelling, which consisted in simply taking a sight of, say 20 chains, or 440 yards, noting the point observed, moving the instrument forward to that point, and taking a second observation; again moving the instrument forward, again observing 20 chains in advance, and so on throughout the whole distance. By this process, without making allowance for convexity, the surface of the water was found to be perfectly horizontal. But when the result was made known to several surveyors, it was contended "that when the theodolite is levelled, it is placed at right angles to the earth's radius--the line of sight from it being a tangent; and that when it is removed 20 chains forward, and again 'levelled,' it becomes a second and different tangent; and that indeed every new position is really a fresh tangent--as shown in the diagram, fig. 9, T 1, T 2, and T 3, representing the theodolite levelled at three different positions, and therefore square to the radii 1, 2, 3. Hence, levelling forward in this way, although making no allowance for rotundity, the rotundity or allowance for it is involved in the process." This is a very ingenious and plausible argument, by which the visible contradiction between the theory of rotundity and the results of practical levelling is explained; and many excellent mathematicians and geodesists have been deceived by it. Logically, however, it will be seen that it is not a proof of rotundity; it is only an explanation or reconciliation of results with the supposition of rotundity, but does not prove it to exist. The following modification was therefore adopted by the author, in order that convexity, if it existed, might be demonstrated. A theodolite was placed at the point A, in fig. 10, and levelled; it was then directed over the flag-staff B to the cross-staff C--the instrument A, the flag-staff B, and the cross-staff C, having exactly the same altitude. The theodolite was then advanced to B, the flag-staff to C, and the cross-staff to D, which was thus secured .as a continuation of one and the same line of sight A, B, C, prolonged to D, the altitude of D being the same as that of A, B, and C. The theodolite was again moved forward to the position C, the flag-staff to D, and the cross-staff to the point E--the line of sight to which was thus again secured as a prolongation of A, B, C, D, to E. The process was repeated to F, and onwards by 20 chain lengths to the end of six miles of the canal, .and parallel with it. By thus having an object between the theodolite and the cross-staff, which object in its turn becomes a test or guide by which the same line of sight is continued throughout the whole length surveyed, the argument or explanation which is dependent upon the supposition of rotundity, and that each position of the theodolite is a different tangent, is completely destroyed. The result of this peculiar or modified survey, which has been several times repeated, was that the line of sight and the surface of the water ran parallel to each other; and as the. line of sight was, in this instance, a right line, the surface of the water for six miles was demonstrably horizontal.
This mode of forward levelling is so very exact and satisfactory, that the following further illustration may be given with advantage. In fig. 11, let A, B, C, represent the first position, respectively of the theodolite, flag-staff, and cross-staff; B, C, D, the second position; C, D, E, the third position; and D, E, F, the fourth; similarly repeated throughout the whole distance surveyed.
The remarks thus made in reference to simple "forward" levelling, apply with equal force to what is called by surveyors the "back-and-fore-sight" process, which consists in reading backwards a distance equal to the distance read forwards. This plan is adopted to obviate the necessity for calculating, or allowing for the earth's supposed convexity. It applies, however, just the same in practice, whether the base or datum line is horizontal or convex; but as it has been proved to be the former, it is evident that "back-and-fore-sight" levelling is a waste of time and skill, and altogether unnecessary. Forward levelling over intervening test or guide staves, as explained by the diagram, fig. 11, is far superior to any of the ordinary methods, and has the great advantage of being purely practical? and not involving any theoretical considerations. Its adoption along the banks of any canal, or lake, or standing water of any kind, or even along the shore of any open sea, will demonstrate to the fullest satisfaction of any practical surveyor that the surface of all water is horizontal.
Although the experiments already described, and many similar ones, have been tried and often repeated, first in 1838, afterwards in 1844, in 1849, in 1856, and in 1862, the author was induced in 1870 to visit the scene of his former labours, and to make some other (one or more) experiment of so simple a character that no error of complicated instrument or process of surveying could possibly be involved. He left London (for Downham Market Station) on Tuesday morning, April 5, 1870, .and arrived at the Old Bedford Sluice Bridge, about two miles from the station, at twelve o'clock. The atmosphere was remarkably clear, and the sun was shining brightly on and against the western face of the bridge. On the right hand side of the arch a large notice-board was affixed (a table of tolls, &c., for navigating the canal). The lowest edge of this board was 6 feet 6 inches above the water, as shown at B, fig. 12.
A train of several empty turf boats had just entered the canal from the River Ouse, and was about proceeding to Romsey, in Huntingdonshire. An arrangement was made with the "Captain" to place the shallowest boat the last in the train; on the lowest part of the stern of this boat a good telescope was fixed--the elevation being exactly 18 inches above the water. The sun was shining strongly against the white notice-board, the air was exceedingly still and clear, and the surface of the water "smooth as a molten mirror;" so that everything was extremely favourable for observation. At 1.15, p.m., the train of boats started for Welney. As the boats receded the notice-board was kept in view, and was plainly visible to, the naked eye for several miles; but through the telescope it was distinctly seen throughout the whole distance of six miles. But on reaching Welney Bridge, a very shallow boat was procured, and so fixed that the telescope was brought to within 8 inches of the surface of the water; and still the bottom of the notice-board was clearly visible. The elevation of the telescope being 8 inches, the line of sight would touch the. horizon, if convexity exists, at the distance of one statute mile;. the square of the remaining five miles, multiplied by 8 inches, gives a curvature of 16 feet 8 inches, so that the bottom of the notice-board--6 feet 6 inches above the water--should have been 10 feet 2 inches below the horizon, as shown in fig. 13--B, the notice-board; H, the horizon; and T, the telescope.
The following important experiment has recently been tried at Brighton, in Sussex. On the new or Western Pier a good theodolite was fixed, at an elevation of 30 feet above the water, and directed to a given point on the pier at Worthing, a distance of at least ten statute miles. Several small yachts and other vessels were sailing about between the two piers, one of which was brought to within a few yards of the Brighton Pier, and directed to sail as nearly as possible in a straight line towards the pier at Worthing; when the top of the mast, which scarcely reached the theodolite, was observed to continue below the line of sight throughout the whole distance, as shown in fig. 14?A, representing the theodolite, and B, the pier at Worthing. From which it is concluded that the surface of the water is horizontal throughout the whole length of ten miles. Whereas, if the earth is a globe, the water between the two piers would be an arc of a circle (as shown in fig. 15), the centre of which would be 16 feet 8 inches higher than the two extremities, and the vessel starting. from A, would ascend an inclined plane, rising over 16 feet, to the summit of the arc at C, where the mast-head would stand considerably above the line of sight. From this point the vessel would gradually descend to the point B, at Worthing. As no such behaviour of the vessel was observed, the ten miles of water between the two piers must be horizontal.
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