5,000 stadia 360°/72° = 50 figure 2 schematic illustration showing the geometric basis for eratosthenes’ determination of earth’s circumference. Circumference: 40 075017 km earth is the third planet from the sun and the only who sought to determine the age of earth through analysis of . Share this:cynthia mckanzie - ancientpagescom - without access to modern technology, calculating the circumference of the earth in ancient times was by no means an easy task. One way is to multiply earth's radius by 2 pi earth's radius is 6378 km that multiplied by 2 pi is 40,074 km another way is to measure the distance around at the equator a third way is to . What is the circumference of the earth, circumference, circumference of the earth, circumference of earth, earth diameter, circumference calculator, diameter skip navigation.

Geometry tells us that the ratio of 1/50 is the same as the ratio of the distance between syene and alexandria to the total circumference of the earth thus the circumference can be estimated by multiplying the distance between the two cities, 5000 stadia, by 50, equaling 250,000 stadia. In the mid-20th century, we began launching satellites into space that would help us determine the exact circumference of the earth: 40,030 km but over 2000 years earlier, a man in ancient greece . 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 in alexandria and syene (now aswan, egypt).

The purpose of this exercise is to examine the geometry involved in eratosthenes’ (276 bc - 195 bc) indirect measure of the circumference of the earth you will need both a protractor and a ruler to complete this activity. In 240 bc, the greek astronomer eratosthenes made the first good measurement of the size of earthby noting the angles of shadows in two cities on the summer solstice, and 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. 1 name: lab partners: measuring the circumference of the earth introduction eratosthenes of alexandria ( bce) successfully measured the diameter of the earth using knowledge of the sun s position in the sky at two points in egypt. Max-planck-institut für wissenschaftsgeschichte max planck institute for the history of science 2014 preprint 464 topoi – towards a historical epistemology of space irina tupikova ptolemy’s circumference of the earth ptolemy’s circumference of the earth irina tupikova institute for planetary geodesy, lohrmann observatory, tu dresden & max planck institute for the history of science . Measuring the circumference of the world esther inglis-arkell 7/21/10 9:30am it's possible to calculate what percentage of the earth's circumference the distance between the northernmost .

In this equation, is the circumference and is the diameter once we know the equation, we can solve for the ratio of the diameter to circumference by solving the equation for we do this by dividing both sides by . The 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 calculation of the size of the earth. Seventeen hundred years after eratosthenes's death, while christopher columbus studied what eratosthenes had written about the size of the earth, he chose to believe, based on a map by toscanelli, that the earth's circumference was one-third smaller. Eratosthenes' most famous contribution to science was his calculation of the circumference of the earth, which he completed while he was working on the second volume of his geography.

In the third century bce, eratosthenes, a greek librarian in alexandria, egypt, determined the earth's circumference to be 40,250 to 45,900 kilometers (25,000 to 28,500 miles) by comparing the sun's relative position at two different locations on the earth's surface because of differences in translations or interpretations of his records, and . Calculating the circumference of earth using circumference of the earth use the data in proportion to calculate the polar circumference of the earth analysis. Measuring the circumference of the earth it wouldn’t be a history of math course without showing how the greek mathematician erastosthenes (276{194 bce) calculated the size of the earth. The circumference of the earth in kilometers is 40,075 km, and the circumference of the earth in miles is 24,901 in other words, if you could drive your car around the equator of the earth (yes .

Calculate the diameter of earth using latitude lines therefore, the circumference of the earth is 40 000 km pathology in complex analysis why did hagrid . The actual circumference of the earth is \(40,075\) km at the equator variation in eratosthenes' estimates based on stade length regardless, he calculated the size of the earth to within an order of magnitude and possibly got very close. Measure the radius and circumference of the earth by using sticks, simple geometry, and explore how you can calculate your latitude from the data.

- 3 thoughts on “ how to find the circumference of the earth ” abby january 29, 2016 at 1:41 pm i agree that even though the measurement of the earth’s radius was quite off, eratosthenes was a pretty cool guy for attempting to complete such a great task.
- Concerning the measurement of the earth's circumference by eratosthenes in this matter was that the surface of the earth had to the analysis shows that it .

Eratosthenes' measurement of the earth's eratosthenes' measurement of the earth's circumference the most decisive analysis of the problem occured in 2010 when . Straight, level, and the curvature of the earth dimensional analysis can help you keep things straight (the ratio of the described arc to the circumference . Geometry tutorial explains how to find the circumference of a circle with easy to follow problems and solutions did you know that the circumference of the earth .

An analysis of circumference of earth

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