If you cannot see the animation above, or it is not working properly, you may need to download the latest Flash player. By noting the angles of shadows in two cities on the Summer Solsticeand by performing the right calculations using his knowledge of geometry and the distance between the cities, Eratosthenes was able to make a remarkably accurate calculation of the circumference of Earth. Eratosthenes lived in the city of Alexandria, near the mouth of the Nile River by the Mediterranean coast, in northern Egypt. He knew that on a certain day each year, the Summer Solstice, in the town of Syene in southern Egypt, there was no shadow at the bottom of a well.
He was born in " B. The only known information about his family was about his father, who was named Aglaus. He was a poor man and it is assumed that Eratosthenes was also born into poverty. Even as a young man, Eratosthenes was known for his intelligence and intuitiveness.
Eratosthenes is known for two major accomplishments in the field of mathematics: To calculate the circumference of the Earth, Eratosthenes used the "approximate distance between Syene and Alexandria, as measured by camel-powered trade caravans" and the "angle of the shadow in Alexandria on the solstice".
He divided the angle of the shadow by the result was 50 and then multiplied that number by the distance between Syene and Alexandria.
His other great mathematical achievement, the "Sieve of Eratosthenes" "determines prime numbers up to any given limit". Using this method, he was able to determine all the prime numbers up to a given limit.
These were two of his greatest achievements. Eratosthenes's contributions are still relevant today.
Besides his accomplishments in the field of mathematics, Eratosthenes was "also a well known geographer, astronomer and historian". His experiment to calculate the Earth's circumference helped pave the way for future scientists. This, in turn, enabled Christopher Columbus to use "Posidonius'Provided such conclusion, the distance from Alexandria and Syene was believed to be 7/ or 1/ that of the circumference of the Earth (a complete circle has a degree measure).
Additionally, way back Eratoshenes’ time, “stade” was the known standard unit of measurement, which then is . The earth’s circumference around the normal poles measures currently at around 40, (Eratosthenes p.
Through the calculation, Eratosthenes successfully calculated the difference in angles between the specified verticals at Alexandria and Syene. Day 1 Astronomy. STUDY. PLAY. How did Eratosthenes measure the circumference? Geometry Eratosthenes used geometry to measure the circumference of the earth.
What is the zenith.
The highest point, suns at its highest point. Where and when did Eratosthenes get the first shdow measurement. Accordingly, the accepted modern value of the Earth’s circumference is 40, km, hence Eratosthenes was correct. We will write a custom essay sample on How did Eratoshenes Measured the Circumference of the Earth?
specifically for you. In B.C., the Greek astronomer Eratosthenes made the first good measurement of the size of Earth. Eratosthenes Essays and Research Papers. Search. In the third century B.C., the Greek mathematician Eratosthenes even measured the circumference of the Earth using the shadows cast Words: — Pages: 2.