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Eratosthenes calculation

WebDec 10, 2016 · In 240 BC, the Greek astronomer, geographer, mathematician, music theorist, and librarian Eratosthenes of Cyrene (c. 276 BC – c. 195/194 BC) calculated the circumference of the Earth without … WebValues between 500 and about 600 feet have been suggested, putting Eratosthenes’ calculated circumference between about 24,000 miles and about 29,000 miles. The Earth is now known to measure about 24,900 …

Eratosthenes: Measuring the Impossible OpenMind

WebEratosthenes' method for measuring the circumference of the Earth (obviously, not to scale). Since there are 360 degrees in a circle, by dividing the central angle into 360, he could calculate how many similar sectors … WebAdam Savage walks through two spectacular examples of profound scientific discoveries that came from simple, creative methods anyone could have followed -- Eratosthenes' calculation of the Earth's circumference around 200 BC and Hippolyte Fizeau's measurement of the speed of light in 1849. michael kincl https://bearbaygc.com

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WebIf we accept the account of Strabo that Eratosthenes measured the circum ference of the earth as 252,000 stadia, the circum ference would be 24,662 miles, and the polar diameter 7,850... WebCalculation. Eratosthenes used the angular difference in latitude of two points on the same meridian and the corresponding linear distance between the points to determine the distance on the surface of the Earth per … WebEratosthenes analyzed the observations with the assumption that the earth is a sphere and the sun is very far away. The geometry of the situation is sketched at the right. ... Continuing the calculation, we find that a is approximately 2400 miles and the two distances R1 and R2 are approximately 3000 and 3900 miles, respectively. michael kind attorney las vegas

5.4: Measuring the Earth with Eratosthenes - Physics …

Category:Online calculator: Sieve of Eratosthenes, optimised - PLANETCALC

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Eratosthenes calculation

How Eratosthenes calculated the Earth

WebDec 27, 2024 · Eratosthenes hired a man to pace the distance between the two cities and learned they were 5,000 stadia apart, which is about 800 … WebThe calculator finds prime numbers using "Sieve of Eratosthenes" method. This calculator finds prime numbers using a method known from ancient times as the Sieve …

Eratosthenes calculation

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WebThat calculation yielded the first fairly accurate calculation of the Earth-Sun distance, of 24,000 Earth radii, which given the Earth's radius of 6,371 km, about 153,000,000 km, the accepted value being about 149,600,000 km. Share Improve this answer Follow edited Jun 17, 2024 at 9:47 Community Bot 1 answered Sep 15, 2014 at 21:12 rgettman WebAug 5, 2015 · If at the same time, a friend plants a second stick in the ground in Alexandria (which was known to be about 800km from Syene), and then measures the length of the shadow, one could calculate the circumference of the Earth. See also Cosmos: Sagan on Eratosthenes' calculation of Earth's Circumference

WebHe calculated the circumference of the earth at about 46,000 km. This value is slightly larger than today’s measured value of about 40,075 km, but it is very accurate with the measurement technology at that time. WebTerjemahan frasa ERATOSTHENES JUGA dari bahasa indonesia ke bahasa inggris dan contoh penggunaan "ERATOSTHENES JUGA" dalam kalimat dengan terjemahannya: Eratosthenes juga mengira keliling kepada ketepatan yang...

Web我知道關於同一主題已經有很多關於so的問題,但是這個問題可能有所不同。 我研究了一些用於計算從 到n的素數的算法。我編寫了以下算法來計算一個范圍內的素數,例如從n到m ,其中m可以大到 ,n和m之間的差可以是 。 這里,變量k的循環用於處理t測試用例。 WebThe first known scientific measurement and calculation was done by Eratosthenes, who achieved a great degree of precision in his computation. [2] Treating the Earth as a …

WebFeb 3, 2024 · Calculating the Earths circumference in this fashion is assuming that the Earth is a perfect sphere just as Eratosthenes did, which it is not. Nonetheless, this value is quite accurate. Depending on the …

WebThis angle, labeled ``A'' in the above drawing, is calculated as follows: tan(A) = (length of shadow)/(height of gnomon) where tan(A) is the tangent function, which was well-known at the time. By calculating this angle, Eratosthenes had calculated the Why? Syene on this day. You can see this graphically in the figure above, how to change keyboard to uk layoutWebApr 2, 2024 · Eratosthenes, in full Eratosthenes of Cyrene, (born c. 276 bce, Cyrene, Libya—died c. 194 bce, Alexandria, Egypt), Greek scientific writer, astronomer, and poet, who made the first measurement of the … michael kinder attorney kansas cityWebJan 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 how to change key in melodyne 5WebMar 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 … how to change key colorWebOct 31, 2024 · The ratio between the north-south distance between the two cities and the angles measured gave a ratio which allowed Eratosthenes to calculate the size of the … michael kim plastic surgeonWebEratosthenes' Experiment Eratosthenes will always be remembered for the calculation of the Earth's circumference circa 240 BC, using trigonometry and knowledge of the angle of elevation of the Sun at noon … michael king actorWebEratosthenes’ Circumference of the Earth Eratosthenes was a brilliant mathematician, scholar and poet that was able to calculate the circumference of the Earth when he lived in late 200s B.C. Eratosthenes is highly praised for this great accomplishment because he did not have any modern tools that we have today and was able to calculate the Earth’s … michael kiner dental insurance