Well, this is one reason why spherical earth has gained ground.  People assume the earth is a globe.  Pope Sylvester II (Gerbert) was a flat earther evidenced in his description of this "hollow sphere", which represents the universe, not the earth.  From Wiki: (in blue)

"Richer also revealed how Gerbert made the planets more easily observable in his armillary sphere:"
"Furthermore, Gerbert instructed Constantine that the north pole could be measured with the upper and lower sighting tubes, the Arctic Circle through another tube, the Tropic of Cancer through another tube, the equator through another tube, and the Tropic of Capricorn through another tube.[29]"

^{This proves beyond a doubt that such measurements are made with the line of sight.  This is impossible if earth were a globe.}  
Now, while an armillary sphere can be turned about is if to represent earth as a globe and is represented as such, it can also make the sun stationary when its mechanics are changed.  However, by design of the armillary sphere, its quite clear the sun is not at the center of the universe.  

An armillary sphere (variations are known as spherical astrolabe, armilla, or armil) is a model of objects in the sky (on the celestial sphere).

This instrument was designed to show why some stars cannot be seen on certain planes from certain positions, not to explain that earth is a globe.

More from Wiki:
The Chinese are quite famous for being flat earthers from ancient times and they used the armillary sphere long before Pope Sylvester II.
Throughout Chinese history, astronomers have created celestial globes (Chinese: 浑象) to assist the observation of the stars. The Chinese also used the armillary sphere in aiding calendrical computations and calculations.
According to Needham, the earliest development of the armillary sphere in China goes back to the astronomers Shi Shen and Gan De in the 4th century BC, as they were equipped with a primitive single-ring armillary instrument.^[3] This would have allowed them to measure the north polar distance (declination) a measurement that gave the position in a xiu (right ascension).^[3] Needham's 4th century dating, however, is rejected by British sinologist Christopher Cullen, who traces the beginnings of these devices to the 1st century BC.<sup>[4]


100% of ancient Catholic authorities who taught anything about the shape of the earth taught earth is flat.</sup>

Scientifically and mathematically viable, by what science?  
How can the sun keep the equator warm and not the North pole if both are on a flat surface?  
How can it be dark in the Philippines and light in New York if the earth is flat?
I would like to see some photos of the edge of the flat earth, where you step off into outer
space.

Now this is rich.  You have no idea what the Church Fathers have said, nor what Cosmas has said about the flat earth, except that I've provided you information.

http://flatearthdeception.com/

Heliocentrism in the Church predates Novus Ordo by about 200 years.

Heliocentrism in the Church predates Novus Ordo by about 200 years.

Many of us know she's been malicious, but this is just rotten. Had she read the book, or done research to include whether or not this calumny against Cosmas had any truth to it before she cast aspersions she would have saved herself more embarrassment. Both philosophically and cartographically, Cosmas' ideas were strictly dictated by his literal interpretation of the Bible; and for his incredible humility and genius, he was highly esteemed in Christendom. Cosmas' Christian Topography has been preserved in two copies: one a parchment manuscript of the 10th century belonging to the Laurentian Library in Florence, containing the whole work except the last leaf; the other, a very fine manuscript of the 8th or 9th century, belonging to the Vatican Library. The Christian Topography contains, in all probability, the oldest Christian maps known. His writings were highly revered in Christendom for 700 years.  No doubt Cosmas's comparison of the first tabernacle to the earth contributed to hundreds of years of Church architecture highlighting high altars with their star-representing candlesticks, enormous granite pillars, and vaulted domes with frescoes of angels and saints in heaven, above. Cosmas' description of the liturgy in relation to the form of the earth is nothing less than inspired, and its a crime more Catholics aren't aware of the typology to help them understand the Mass in relation to the Old Testament as well as the fulfillment in the New Testament. The accusation of Cosmas being a Nestorian came from the fact that poor Cosmas had Nestorian friends. Such a thing cannot prove one is a heretic.  Another piece of information sheds more light.  Nestorians refused to recognize Mary as the mother of God, yet Cosmas glowingly referred to Our Lady as "Theotokos", "Mother of God".  So much for nice tries.  This pathetic attempt to defame Cosmas exposes an intentional failure to examine more closely the facts, and the failure to examine the morons who, contradicting Cosmas, attempt to lie, cheat and steal in order to erase history, beat on God's messengers and lead people astray with false notions of creation.  I say this is intentional because, without fail, this woman hails the religion of globalism to the point of worship, praises its high-priest scientists, sings off-key with her choir of anti-Catholic supporters who consistently get a pass from her, while everything Catholic is disparaged.  
  :heretic: