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Eratosthenes

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Eratosthenes of Cyrene was a brilliant Ancient Greek polymath. A polymath is a person who is an expert in many different subjects. He was a mathematician, a philosopher, a poet, and an astronomer. He is also known as the father of geography. He actually coined the terms "geography" and "geographer" to describe the study of the Earth.

Eratosthenes profile
Eratosthenes profile

His work helped turn scattered observations into a formal science. He eventually served as the chief librarian at the Great Library of Alexandria. This position was one of the most prestigious academic jobs in the ancient world.

One of his most famous achievements was measuring the Earth's circumference. He used a clever method involving the sun and shadows.

Eratosthenes measure of Earth circumference
Eratosthenes measure of Earth circumference

He compared the sun's position in two different cities: Alexandria and Syene. At noon on the summer solstice, the sun shone directly down into a well in Syene. This meant a vertical rod in Syene cast no shadow. However, in Alexandria, a vertical rod called a gnomon still cast a shadow. Eratosthenes measured this shadow's angle at about 7.2 degrees. Since 7.2 degrees is 1/50 of a full 360-degree circle, he knew the distance between the cities represented 1/50 of the Earth's total curve. He used the distance of 5,000 stadia between the cities and multiplied it by 50. This gave him an estimate of 250,000 stadia for the Earth's circumference.

Eratosthenes also made significant contributions to mathematics and number theory. He developed a specific algorithm known as the Sieve of Eratosthenes. This is an efficient method used to identify prime numbers and composite numbers.

Sieve of Eratosthenes animation
Sieve of Eratosthenes animation

A prime number is a number that can only be divided by itself and one. By systematically crossing out multiples of numbers, his sieve leaves only the primes behind. He was also a pioneer in the field of scientific chronology. He used ancient Egyptian and Persian records to estimate historical dates. Using these records, he dated the sack of Troy to 1184 BC. This helped people understand the timeline of human history more clearly.

His life began in 276 BC in the city of Cyrene.

Eratosthenes Teaching in Alexandria (Bernardo Strozzi, Montreal)
Eratosthenes Teaching in Alexandria (Bernardo Strozzi, Montreal)

Cyrene was located in what is now modern-day Libya. It was a prosperous Greek city known for its rich soil and economy. Eratosthenes likely received a high-quality education from a young age. He studied in a local gymnasium, learning arithmetic, music, and poetry. Later, he traveled to Athens to further his studies. In Athens, he spent 20 years learning from many different philosophical schools. He studied under teachers like Zeno of Citium and Arcesilaus of Pitane. This wide range of teachers helped him become a well-rounded scholar.

Because he was skilled in so many areas, people had different nicknames for him. Some of his followers called him "Pentathlos." This name comes from the Greek word for an athlete who competes in many different events. They meant he was a master of all learning. However, other critics were less kind. According to the Suda, an ancient encyclopedia, some called him "Beta." This meant "Number 2." They believed he was knowledgeable but never the absolute leading expert in any single field. Strabo described him as a mathematician among geographers and a geographer among mathematicians.

In his later years, Eratosthenes moved to Alexandria to lead the Library.

Mappa di Eratostene
Mappa di Eratostene

Alexandria was the intellectual center of the Ptolemaic Empire. He worked closely with other great thinkers, including the mathematician Archimedes. Archimedes even sent him mathematical problems to solve and comment on. Eratosthenes also worked on astronomy. He calculated the Earth's axial tilt, which is the angle at which the Earth leans. He also estimated the distance to the sun and the moon. He even tried to determine the diameter of the sun, estimating it was 27 times the size of the Earth.

Eratosthenes lived a very long life, reaching the age of 80. He died in Alexandria around 196 BC. The Suda tells us that his eyesight began to fail him as he aged. This loss of vision made it difficult for him to read or observe nature. This change was very difficult for him to handle. He eventually died of starvation. Even though he died in a foreign land, his influence remained. His maps and measurements provided a foundation for how we understand our planet today. His ability to use math to solve physical mysteries changed science forever.

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File:Eratosthenes_Teaching_in_Alexandria_(Bernardo_Strozzi,_Montreal).jpg
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File:Eratosthenes_measure_of_Earth_circumference.svg
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File:Mappa_di_Eratostene.jpg
Mappa_di_Eratostene.jpg
File:Sieve of Eratosthenes animation.gif
Sieve of Eratosthenes animation.gif
File:Eratosthenes profile.png
Eratosthenes profile.png
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