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How One of Science's Biggest Errors Persisted for 1,500 Years
Ptolemy's compendium, later known as the Almagest, dominated Western
astronomy for 15 centuries. It was also wrong, and it took the fall
of an empire to fix it.
by Rebecca Boyle February 28, 2024
How One of Science's Biggest Errors Persisted for 1,500 Years
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Illustration: Carmen Deno for Atlas Obscura
Illustration: Carmen Deno for Atlas Obscura
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A basic understanding of the solar system is something we take for
granted today, but Western science had things wrong for some 1,500
years. Blame the Moon, and blame a man named Claudius Ptolemy.
Around the year 150, the Roman Alexandrian scholar wrote a massive
compendium of ancient math later (and famously) called the Almagest.
It was a stunning achievement, and laid the mathematical foundations
for an Earth-centric universe. It also set everyone from
Constantinople to Krakow on the wrong path. Sorting it all out took
the fall of the Byzantine Empire, a refugee scholar, an overzealous
translator, and a detail-oriented Pole named Copernicus. The journey
through history, math, and physics is convoluted, but worth it, so
buckle in for the tale of one of science's oldest and biggest errors.
First, consider an obvious fact: The Moon goes around the Earth.
Watch as the Moon cycles through a month, and you can tell that it is
lit by the Sun, and that its appearance changes as it goes around our
world. This could be one reason why humanity believed in geocentrism
in the first place. If it's clear that the Moon revolves around
Earth, then it's logical to imagine that everything else does, too.
Why would the universe be arranged in any other way? Moreover, how
would solar eclipses work, if the Sun and the Moon didn't follow a
similar path around our planet?
Most people throughout antiquity were certain the Sun orbited the
Earth. It made sense, and that was that. Claudius Ptolemy was the
first person to come up with complicated physics that could explain
just how this arrangement would work. With the great library of
Alexandria at his disposal, he distilled the collected knowledge of
Greece, Egypt, Babylon, and Rome into a treatise full of numerical
tables, data sets, and his own interpretations. He called it
Mathematical Arrangement. The name Almagest comes from an Arabic
translation calling it "the greatest compilation."
Using astronomical records, Ptolemy invented a scheme for how the
Sun, the other planets, and the Moon could all orbit the Earth. It
involved epicycles, which are convoluted circles-within-circles.
A copy of a 15th-century chart, attributed to Regiomontanus, to plot
the movement of the Moon using a string attached to the chart's
center.A copy of a 15th-century chart, attributed to Regiomontanus,
to plot the movement of the Moon using a string attached to the
chart's center. Public Domain
However, our Moon didn't quite fit his model. Ptolemy suggested that
its orbital path must be tilted with respect to the other heavenly
bodies, but problems remained. His math suggests that the Moon's size
would change dramatically throughout the month. Like epicycles
themselves, this is not a thing. Yet Ptolemy's complicated, bizarre
system stood for 15 centuries as the textbook for cosmology because
it seemed to work, or at least work well enough.
Ptolemy wrote in Greek, but centuries after he published it, Almagest
was translated into Arabic. Some Islamic Arab scholars openly doubted
Ptolemy's conclusions, but no one really challenged his complex
mathematical proofs, and people in the Western, Christian world were
mostly comfortable believing that we humans were the center of the
universe.
Around the middle of the 12th century, a scholar working in the Arab
court of Toledo produced the first Arabic-to-Latin translation of
Almagest. His name was Gerard of Cremona, and he remains one of the
world's most important translators of ancient texts. According to a
2023 paper published in the Journal for the History of Astronomy,
Gerard may have tried to fix some of Ptolemy's math. In doing so, it
appears that he helped perpetuate antiquity's grand error--that the
Sun orbits the Earth--at least for a few more centuries.
The paper's author, Stefan Zieme of Humboldt University in Berlin,
examined some texts Gerard used for his translations, and found that
some of the numbers weren't matching up among the Latin, Greek, and
Arabic versions. The corrections were both minor and major, and
ranged from declination values, which describe the positions of stars
and planets in the sky, to rising times, vital for casting accurate
horoscopes.
Gerard's attempted corrections may have made it easier for readers to
accept Ptolemy's unusual, obtuse, and occasionally mismatched
numbers. Perhaps this made it even easier to accept geocentrism, too.
Gerard's translation made the rounds in Europe during the medieval
period, and was copied multiple times. Then came the fall of
Constantinople, and the beginning of the end for Ptolemy's convoluted
Earth-centric cosmology.
An illustration of Ptolemy and Regiomontanus from the frontispiece of
a 15th-century edition of Epitome of the Almagest.An
illustration of Ptolemy and Regiomontanus from the frontispiece of a
15th-century edition of Epitome of the Almagest. Public Domain
After the invading Turkish Army took Constantinople in May 1453, the
Greek-speaking world drained out of the remains of the Byzantine
Empire. Refugee scholars salvaged their texts and translations of
works from antiquity. In 1460, one of these men, a cardinal named
Basilios Bessarion, arrived in Vienna, carrying a copy of Ptolemy's
Mathematical Arrangement in the original Greek.
In Vienna, Bessarion met a scholar named Regiomontanus, who produced
a fresh Latin translation of Ptolemy's seminal work to be used for
teaching. It was the first edition produced on a printing press. Like
many students' textbooks, this new version, called the Epitome of the
Almagest, included a reader's guide with interpretations from the
translators. Central among the critiques that Regiomontanus included
in the guide: Ptolemy was wrong about the Moon.
In 1491, a university student named Nicolaus Copernicus read a copy
of the Epitome of the Almagest and also doubted some of Ptolemy's
elaborate explanations. You probably know what happened next.
Copernicus measured eclipses and relied on observations of our
satellite to develop his new, accurate worldview: The Moon orbits
Earth, yes, but Earth orbits the Sun, and so do all the other
planets.
Copernicus, Regiomontanus, and Ptolemy himself would have looked
forward to April's total solar eclipse with great interest. To see
the Moon cross in front of our star, blocking all but its outer
atmosphere, is one of the most unusual, terrifying, beautiful
experiences we can have on this planet. And it is a wondrous way to
witness, and to study, the movement of the heavenly bodies.
We now know that the Moon blocks the Sun during total eclipses
because of an astonishing cosmic coincidence, no epicycles needed.
Thanks to a mathematical fluke, the much larger but much more distant
Sun appears to be the same size in the sky as the Moon, and the two
bodies seem to cross paths overhead now and then. This random
accident of geometry never ceases to astound me. It's almost enough
to make me reach for Ptolemy, seeking a mathematically grounded
arrangement, one designed by providence, even, and not just by
chance.
Wondersky columnist Rebecca Boyle is the author of Our Moon: How
Earth's Celestial Companion Transformed the Planet, Guided Evolution,
and Made Us Who We Are (January 2024, Random House). She is a
featured speaker at Atlas Obscura's Ecliptic Festival, April 5-8,
2024, in Hot Springs, Ark.
Next in series
How to See Where Lunar X Marks the Spot on a First Quarter Moon
Many of us see a face or a rabbit in the Moon--examples of pareidolia
that, when conditions are right, also include the letters X and V.
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wonderskysunstargazingsolar systemmoonmathematicsphysicsastronomy
columnshistory
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