What scientist is thought to have been the first to accurately calculate Earths size?

pillarsToday I plant out about a man who adequately accurately estimated the circumference of the Earth well over ii,000 years ago: Eratosthenes of Cyrene.

Built-in effectually 276 B.C. in Cyrene, Great socialist people's libyan arab jamahiriya, Eratosthenes shortly became 1 of the about famous mathematicians of his time. He is best known for making the start recorded measurement of the Earth's circumference, which was too remarkably authentic.  (And, yes, people at that point had known for some time that the world wasn't flat, opposite to pop belief.)

Eratosthenes was able to achieve this in part because of his education in Athens. There, he became known for his achievements in many different fields, including poetry, astronomy, and scientific writing. His activities became so talked most, in fact, that Ptolemy III of Egypt decided to invite him to Alexandria to tutor his son. Later, he would become the head librarian of the Library of Alexandria.

The mathematician must accept been thrilled to accept this opportunity. The Library of Alexandria was a hub of learning at the time, attracting scholars from across the known earth. Eratosthenes was able to rub shoulders with the likes of Archimedes while continuing his ain learning.

Information technology was probably in the Library of Alexandria that he read almost a curious event that took place in Syene (at present Aswan, Egypt) at the summer solstice. Syene sabbatum to the due south of Alexandria. At loftier noon, the lord's day would shine directly overhead and there would be no shadows stemming from the columns. However, Eratosthenes realized that at the same moment in Alexandria, columns conspicuously did accept shadows. Beingness a good mathematician, he decided to employ this knowledge to practise a few calculations to figure out the circumference of the Earth.

To do this, Eratosthenes measured the shadow of an obelisk on June 21 at noon. He discovered that the sun was about seven°14' from being direct overhead. He realized that, considering the Earth is curved, the greater the curve, the longer the shadows would exist.

Based on his observations, he hypothesized that Syene must lie 7°14' along a curve from Alexandria. Furthermore, he knew that a circumvolve contained 360°, which meant that his calculation—seven°14'—was roughly ane fiftieth of a circle. Therefore, Eratosthenes thought, if he multiplied the distance between Syene and Alexandria by 50, he would take the circumference of the Earth.

The missing information was simply how far away Syene was from Alexandria. He measured the distance in stadia. There isn't an exact modern day conversion to stadia, and it isn't perfectly clear which version of the stadia Eratosthenes was using, but regardless, from what is known, his estimation was remarkably accurate.

There are two theories as to how Eratosthenes figured out the distance: starting time, that he hired a human to walk at that place and count the steps. Second, that he heard a camel could travel 100 stadia a twenty-four hours, and it took a camel about l days to travel to Syene. Whatever the case, he estimated the distance betwixt Syene and Alexandria was 5,000 stadia. If that was the case, so using his formula, the earth was 250,000 stadia around.

Due to the uncertain distance that stadia represents (and particularly which stadia he was using), historians believe that Eratosthenes' conclusion was between .5% and 17% off the marking. Even if the latter case was truthful, it was astoundingly accurate given the limited technology he was dealing with at the time. Simply many scholars think it likely that he was using the Egyptian stadia (157.5 m), existence in Arab republic of egypt at the fourth dimension. This would brand his estimate simply about 1% likewise small.

There had been previous attempts at discovering the Earth'south circumference (which don't count as "first recorded" because their methods didn't survive, though we have references to them) which resulted in a 400,000 stadia figure, 150,000 more than Eratosthenes'—plainly far from accurate.

While finding the approximate circumference of the Earth was probably Eratosthenes' largest contribution to scholarship at the time, it was by no ways the only i. Eratosthenes is also credited with coming up with a style to map out the known globe by drawing lines north-south and east-west—early latitude and longitude lines. Nonetheless, these lines were irregular and often drawn through known places, significant they weren't entirely authentic. Notwithstanding, it provided a precursor for maps we know today.

He is also remembered for the Sieve of Eratosthenes, a elementary algorithm that makes it easy to find all prime numbers up to a sure limit. Though none of Eratosthenes' personal piece of work on the sieve survives, he was credited with the creation of the algorithm by Nicomedes in his Introduction to Arithmetic.

Non only that, but Eratosthenes estimated the altitude to both the sunday and the moon, and measured the tilt of the Globe's centrality all with amazing accuracy.

He likewise wrote the poem Hermes, correctly sketched the route of the Nile, and even gave a more-or-less accurate account of why the Nile flooded, something that had baffled scholars for centuries. He worked on a calendar that included leap years and he also estimated and corrected the dates of various historical events commencement with the Siege of Troy.

Despite these accomplishments and many more like them, Eratosthenes was frequently nicknamed "Beta." Beta is the second letter in the Greek alphabet and referred to Eratosthenes being 2d-best in everything he did.

Eratosthenes died around 194 B.C. and is thought to accept starved himself to death. It is believed that he started going blind in his after years and, unable to continue his work, he just stopped eating.

If you liked this article, you might also enjoy our new pop podcast, The BrainFood Show (iTunes, Spotify, Google Play Music, Feed), too as:

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  • How the Speed of Lite was Showtime Measured
  • Where Did The Time Go: The Phantom Time Hypothesis
  • How the Galaxy Got Its Name and What It'due south Chosen in Other Languages
  • Why We Have a Seven Solar day Week and the Origin of the Names of the Days of the Week

Bonus Fact:

  • A man named Posidonius copied Eratosthenes' bones method about a century later, using the star Canopus, Rhodes, and Alexandria as starting points. However, he didn't mensurate the distance betwixt Rhodes and Alexandria correctly, resulting in a circumference that was smaller than Eratosthenes' estimation. It was this circumference that was recorded by Ptolemy in his geography treatise and later on used by explorers looking for a quicker mode to the Indies.

Expand for References

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Source: http://www.todayifoundout.com/index.php/2014/01/amazing-eratosthenes/

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