2.  Pagan or not, it doesn't invalidate the conclusions.  Pythagoras was a pagan but a ² + b ² = c ²...every single time.

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Problem is, happenby doesn't like   a ² + b ² = c ²   because it challenges her golden-calf false-god flat-earthism.
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Unopposed truth, at your service!
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Against a fact there is no argument. 
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This is proof positive of the curvature of the globe Earth.
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That same docuмent, Providentissimus Deus tells us:  

" "Whatever they (he's referring to "scientists") can really demonstrate to be true of physical nature, we must show to be capable of reconciliation with our Scriptures; and whatever they assert in their treatises which is contrary to these Scriptures of ours, that is to Catholic faith, we must either prove it as well as we can to be entirely false, or at all events we must, without the smallest hesitation, believe it to be so.""

http://w2.vatican.va/content/leo-xiii/en/encyclicals/docuмents/hf_l-xiii_enc_18111893_providentissimus-deus.html

We have been telling you ad nauseam, that it is contrary to The Bible and The Catholic Religion and it is Scientifically False, as all Catholics are instructed to in Providentissimus Deus, if they can and we can, thanks in large part, to the growth of The Internet.  

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And where, oh where, does Providentissimus Deus or any other docuмent of the Church contradict this?
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Once again, against a fact there is no argument.
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It's nice to see the truth go unopposed for two months.
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The sphericity of Earth is not contradictory to Scripture or anything else the Church has to offer.
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But the evidence for it is everywhere you look! 
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Facts are facts. How inconvenient for you!
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The Bible doesn't need your false-god, golden-calf, flat-earthism for veracity.
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The Bible has the Church, and flat-earthism has NOTHING.
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The earth's magnetic field is constantly changing. In the past, variation from year to year has been not so great so as to make estimates of location unreliable from place to place worldwide, and such practices as land surveying and navigation at sea have been able to use updated maps for currently reliable data. In recent years, however, the magnetic poles (called dip poles) of the earth have been moving more quickly such that services and trades that rely on currently updated locations of the dip poles have had to obtain more frequent assessment and updates.
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It has been long understood that dip poles migrate over time. In 1831, James Clark Ross located the north dip pole position in northern Canada. Natural Resources Canada (NRCan) tracked the North Magnetic Pole, which is slowly drifting across the Canadian Arctic, by periodically carrying out magnetic surveys to reestablish the Pole's location from 1948 to 1994. An international collaboration, led by a French fundraising association, Poly-Arctique, and involving NRCan, Institut de Physique du Globe de Paris and Bureau de Recherche Geologique et Miniere, added two locations of the North Magnetic Pole in 2001 and 2007. The most recent survey determined that the Pole is moving approximately north-northwest at 55 km per year.



Modeled pole locations for magnetic north from 1831 to 2020 [1831.000 - 2020.000 -- these are not observed north pole locations]:
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222.596 85.370 2011.000 217.521 85.676 2012.000 211.982 85.933 2013.000 206.059 86.138 2014.000 199.975 86.289 2015.000
193.710 86.395 2016.000 187.413 86.455 2017.000 181.245 86.471 2018.000 175.346 86.448 2019.000 169.818 86.391 2020.000
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[The years' data for 2015 and 2017 are in bold - degrees longitude west, degrees latitude north, year.]
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The cause of the earth's magnetic field is not actually known, but there are theories proposed that would explain it. It is thought that some large quantity of ferrous material in the earth's core is moving to produce this field, but how much iron, where exactly it's located and how fast it's moving are all unknowns and up for speculation. One thing scientists can agree on is that wherever this iron is precisely, it exists at a temperature of over 1,000 degrees Fahrenheit, or perhaps even 2,000, which would mean it would be molten at atmospheric pressure, however, since it is expected to have an ambient pressure of hundreds of atmospheres, the liquidity/solidity or whatever state it is in cannot be certain. In any event, since the magnetic poles of the earth are observed to in fact be moving, we can reasonably presume that the ferrous or iron mass deep within the earth must not only be moving so as to generate this field but must be moving in a variable manner, that is, moving differently today than it has moved in previous centuries.
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Since it is essentially unknown what forces are acting on the iron inside the earth, we cannot know for sure what kinds of changes the magnetic field will undergo in the future. We can presume to expect it to move in a somewhat predictable manner, but as you can see from the image above, in the years 1732 (George Washington's birthday and the square root of 3), 1859, 1890 and 1900 the north dip pole changed direction of drift quite abruptly and without apparent or observable cause as far as we know (the birth of Washington or the square root of 3 can't explain a pole shift), therefore a similar change could likewise occur in our present age and we have no way of predicting it or even of anticipating when or whether it will occur.
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The circuмference of the earth is about 25,000 miles which means 360 degrees of curvature takes 25K miles to transpire.
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Divide 25K by 360 and you get 70.    (69.444 rounds off to 70, and 70 x 360 = 25,200 -- close enough)
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Therefore, each 70 miles a plane "dips down" one degree to follow a Great Circle route.
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Any plane that flies over the equator, for example, only has to "dip down" one degree in 70 miles to accommodate curvature.
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But any plane flying has to correct up and down a lot more than one degree every mile or two, so the one degree of correction needed every 70 miles for curvature is insignificant compared to corrections for normal, ambient disturbances.
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You can compare it to driving your car down a very straight highway -- why don't you just tie off the steering wheel with a rope to keep the car going straight, and then you can take a nap?
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The fact is, even with a very straight road, there are tiny bumps in the pavement or camber to the right or left, and little gusts of wind from the left and right which make the car drift off course. So you have to make small corrections all the time if you want to stay in your lane. Your corrections amount to one to four degrees of adjustment every quarter mile, so after one mile you might have corrected about 8 degrees left or right depending on conditions, maybe more. Over 70 miles that makes 560 degrees of correction.
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Then imagine this highway has a very slow curve in it so that every 70 miles you have to have turned a total of one degree to the right to remain exactly in the center of your lane. Why would you ever notice that one degree when you normally make about 560 degrees? Are you going to notice it was 561 this time, or 559?

We are told:  The Earth is approximately 25k miles in circuмference and about 8k miles in diameter.  Thus, traveling from The North Pole to The Equator should be a distance of about 6k  miles, with a drop of about 4k miles.  Therefore, we should experience a drop of about 8 inches  for every 12 inches we travel.  Somehow, I don't think that would be so subtle a drop or rise that I wouldn't notice it from land, let alone from 30k feet, traveling at 550 mph!