Eratosthenes earth's circumference
WebOct 31, 2024 · The Earth’s circumference was first accurately measured more than 2,200 years ago by a Greek astronomer named Eratosthenes. Eratosthenes method was … WebPutting Eratosthenes result into modern units, his estimate of the circumference of the Earth is as follows: Circumference = 50 x 5000 stadia = 250,000 stadia 250,000 stadia x 185 meters/stadion = 46,250 kilometers The modern measurement is 40,070 kilometers. Eratosthenes' estimate is only about 15% too large! Claudius Ptolemy (c. 140 AD)
Eratosthenes earth's circumference
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WebSyrene is equal to the angle α measured by Eratosthenes. Explain why the angles are equal. 2. A proportion is an equation of the form: M N = P Q . Write a proportion that relates the following four quantities: d, the distance bewteen Alexandria and Syene, c, the circumference of the Earth, a, the angle that Eratosthenes measured, and 360 o. WebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...
WebMar 26, 2016 · Eratosthenes divided 360° by 7.2° and got 50, which told him that the distance between Alexandria and Syene (500 miles) was 1/50 of the total distance around the Earth. So he multiplied 500 by 50 to arrive at his estimate of the Earth's circumference: 25,000 miles. This estimate was only 100 miles off the actual circumference of 24,900 … WebJan 11, 2024 · Eratosthenes did the measurement and found the angle was 7.2°, which meant central angle 𝜃 was also 7.2°. That angle, 7.2°, is 1/50 of a complete circle: 7.2°/360° = 1/50 So, if 804 km or 500 mi. (or 5,000 stadia for Eratosthenes) was 1/50th, multiplication gives you the earth's circumference: 500 mi. x 50 = 25,000 mi. 804 km x 50 = 40,200 km
WebAt around 200 BC, Eratosthenes (c. 276 BC - c. 197 BC) determined the circumference of Earth with remarkable accuracy. As related accomplishments, he also demon-strated … WebJun 3, 2024 · The first famous measurement of the Earth's circumference was made by Eratosthenes. But he wasn't the only one to carry out this measurement. ... From this measure, Earth’s circumference had been deduced and compared to the value given by ancient Greeks. Al-Biruni, eager to find his own value, proposed a new method based on …
WebAug 7, 2024 · We can then figure out the difference between these angles and plug it into the formula: angle 360 ° = distance circumference of the earth circumference of the earth = 360 ° angle × distance. Now I would like to do a similar experiment. My family has friends who live 1260km west (and a little south) from us.
WebThe distance from Alexandria to Syrene is 800 km, so he concluded that the circumference of the Earth must be ! This estimate is very close to modern accurate measurements, so Eratosthenes gets credit for the first … twitter body swap episodesWebThe 250,000 stadia equate to 40,000-46,000 kilometers. With satellites that orbit around our planet, astronomers measured the polar pole circumference of the earth. The result? 40 008 kilometres. So the … taking the slack out of rigging and startingtwitter bojan tunguzWebEratosthenes measured the circumference of the Earth without leaving Egypt. He knew that on the summer solstice at local noon at the Syene on the Tropic of Cancer, the sun would appear at the directly overhead. twitter bohai china seaWebJul 3, 2024 · Eratosthenes of Cyrene (c. 276 BCE–192 or 194 BCE) was an ancient Greek mathematician, poet, and astronomer who is known as the father of geography.Eratosthenes was the first person to use the word "geography" and other geographical terms that are still in use today, and his efforts to calculate the … taking the stage onlineWebit suggests that the earth is curved everywhere. The logical result is that the earth must be spherical. Archimedes and Plato both believing the Earth to be a sphere, tried to estimate the circumfer-ence of the Earth. However, the first to give an accurate calculation of the circumference of the Earth was Eratosthenes in about 240 BC. Eratos- twitter bold generatorWebJul 31, 2007 · Eratosthenes was an ancient Greek astronomer, geographer, and mathematician. He lived from 276 to 194 B.C. Eratosthenes is most famous for making the first accurate measurement of the circumference of the Earth. He lived and worked for most of his life in the city of Alexandria in Egypt. twitter body positivity