It's not really that impressive considering the ancient greeks had pretty advanced maths.
I need to explain to the honest people reading this though how this does not prove the round earth. Calculating the circuмference of the flat earth is possible because the sun has a fixed radius over 24 hours, going OVER the earth.
If you impose spherical trigonometry on top of this you come up with a RADIUS of and imaginary globe earth, mentioned above. But this is total fantasy. It presumes the earth is a globe. It is just turning numbers into other numbers by putting them into equations. It doesn't bear any relation to reality.
I am happy in a way that you brought this up, because it gives another occasion for the truth to shine even brighter.

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Now THERE'S a great example of flat-earth competence...... NOT.
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I'd ask you for an intelligible translation but there isn't one. You have no idea what you're talking about, is the bottom line.
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There is an important point to make about the teaching of the church.

The question about the flatness of the earth is only one aspect of the creation of God. That being the aspects of creation which are permanent; earth, sun, moon, stars.

What we know for certain is that the Church said in the condemnation of Galileo that anyone who says that the earth is not the center of the universe and that the sun does not go around it, is suspect of heresy. Cardinal Bellarmine was of the opinion that this was de fide. (http://flatearthtrads.forumga.net/t60-pertinent-quotes-from-fathers-and-tradition)

Added to this, the Fathers of the Church attacked in the strongest terms, the idea that the earth was a globe.
 
But we do not have clear statements that the earth part of creation is generally flat. Why? Because it is not necessary when you add up the above, (as well as opinions by Fathers that the firmament was solid). It is a way of putting it that no one bothered to do.

So Neils quest is a red herring finally. Let he who has ears listen.

I've provided Catholic teachings and you provided nothing Catholic in favor of the pagan model at odds with scripture and reason. But naturally. You can't.

What happens if Neil's Pagan model is not at odds with his Pagan mind?

I've provided Catholic teachings and you provided nothing Catholic in favor of the pagan model at odds with scripture and reason. But naturally. You can't.

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I know, you're just upset because you wish the Church would teach your pet fairy tale and it just won't.  :baby:
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So sad. 
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You can't give your answer to my question because there is no answer to my question.
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Here is the video that Neil still hasn't explained:

Neil "Have You Measured the Angle of the Quarter Moon Yet" Obstat is not about to give you an explanation.

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I can't understand why flat-earthers aren't all over the fake news depictions of planet earth.
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I did the math on that video like 6 threads ago. It matches the expected curvature of the earth.

"Sorcery!"

Apparently you have not read the quote from St. Basil the Great.

St. Basil, Hexaemeron, Homily 9: Those who have written about the nature of the universe have discussed at length the shape of the earth. If it be spherical or cylindrical, if it resemble a disc and is equally rounded in all parts, or if it has the forth of a winnowing basket and is hollow in the middle; [1693] all these conjectures have been suggested by cosmographers, each one upsetting that of his predecessor. It will not lead me to give less importance to the creation of the universe, that the servant of God, Moses, is silent as to shapes; he has not said that the earth is a hundred and eighty thousand furlongs in circuмference; he has not measured into what extent of air its shadow projects itself whilst the sun revolves around it, nor stated how this shadow, casting itself upon the moon, produces eclipses. He has passed over in silence, as useless, all that is unimportant for us. Shall I then prefer foolish wisdom to the oracles of the Holy Spirit? Shall I not rather exalt Him who, not wishing to fill our minds with these vanities, has regulated all the economy of Scripture in view of the edification and the making perfect of our souls? It is this which those seem to me not to have understood, who, giving themselves up to the distorted meaning of allegory, have undertaken to give a majesty of their own invention to Scripture. It is to believe themselves wiser than the Holy Spirit, and to bring forth their own ideas under a pretext of exegesis. Let us hear Scripture as it has been written.

You can knock off all of that Scripture, Pope, bishops, fathers and Saints business. The point is maybe they held the opinion but that doesn't mean anything to us as Catholics. This topic has absolutely no religious significance at all except maybe to distract from the True one.

God would not have created the Flat Earth if it didn't matter. You are still here.