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Calculators and Calculations
Home›Calculators and Calculations›Who calculate the circumference of the earth

Who calculate the circumference of the earth

By Matthew Lynch
October 6, 2023
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Throughout history, some of the world’s most brilliant minds have sought to achieve a seemingly impossible feat: calculating the Earth’s circumference. Despite the challenges faced, these individuals have made remarkable advancements in our understanding of our planet’s dimensions. In this article, we will journey back in time to explore the various methods and accomplishments of those who were determined to unlock this secret.

Eratosthenes of Cyrene: A Pioneering Greek Mathematician

Around 240 B.C, Eratosthenes, a Greek mathematician and geographer, became one of the first individuals known to have calculated the Earth’s circumference. His method was surprisingly accurate despite the limited resources available during his time.

Eratosthenes was Chief Librarian at the Library of Alexandria, one of the most renowned centers of knowledge in the ancient world. His curiosity led him to discover that on June 21st – now regarded as summer solstice – there was a town called Syene (now Aswan, Egypt) where the sun would shine directly down a well at noon. This meant no shadows were cast.

Meanwhile in Alexandria, on the same day at noon, he observed that sunlit upright objects cast shadows at an angle of approximately 7.2 degrees from vertical. By measuring this angle and employing principles from ancient geometry, Eratosthenes was able to extrapolate that Earth’s circumference was about 39,375 km.

Considering that our modern measurement of Earth’s circumference is around 40,075 km along its meridian line, it’s amazing how close Eratosthenes was to today’s accepted value!

Al-Biruni: The Persian Genius

In the 11th century AD, Persian scholar Al-Biruni brought forth another innovative method for calculating Earth’s circumference: determining its radius and diameter.

Al-Biruni observed that when standing atop a mountain, one could visually discern the horizon appearing lower than eye level. This phenomenon was due to Earth’s curvature. He estimated the angle at which the Earth fell away from eye level by carefully considering the altitude of the mountain and made use of trigonometry to estimate its radius.

Using this method, Al-Biruni concluded that Earth’s radius was approximately 6,339 km. When multiplied by two to determine its diameter and then by pi (approximately 3.14) to find its circumference, his result was remarkably close to modern calculations.

In conclusion, throughout history, great minds like Eratosthenes and Al-Biruni contributed significantly to our understanding of the Earth’s dimensions. Their methods – albeit simplified in this article – showcase the brilliance and ingenuity of these scholars even when faced with limitations in technology and resources. It is their quest for knowledge that reflects the unstoppable human spirit of curiosity and discovery.

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