Print and distribute the student worksheet: eratosthenesdoc read and/or distribute eratosthenes and background information review and/or distribute part a: estimate the circumference of the earth using eratosthenes' calculationsstudents should answer the questions located at the bottom of the page and write their calculations in the space provided or in their notebook. Angle b thus tells us the proportion of the distance of syene to alexandria compared to the entire circumference of the earth so, because angle a was measured to be 7 degrees, b is 7 degrees and we have 7/360 for the proportion of the distance between the two cities and the circumference of the entire earth. Now that eratosthenes knew the subtended angle and the actual distance between the two cities of syrene and alexandria, he could calculate the total circumference of the earth the concept he used was very simple. Al-biruni a pioneering muslim scientist figured out a truly remarkable and ingenious method to calculate the radius of the earth (and subsequently its circumference etc) this was very simple yet accurate requiring just four measurements in all to.
Laisser un commentaire sur how did eratosthenes calculate the circumference and radius of the earth egyptians used mathematics for practical purposes: surveying, trading, construction the greeks were the first to do mathematics to do mathematics, without practical and immediate application in everyday life. Introduction in this project, you will estimate the circumference of the earth, using a method developed about 2,200 years ago, by eratosthenes, a greek mathematician and the librarian of the great library at alexandria, in egypt. After studying greek astronomer eratosthenes’ methods to calculate the circumference of the earth, students in the geodetic & controls surveys class recreated the process using ancient–276 bc–methods and modern technology.
Astronomy 101 specials: eratosthenes and the size of the earth eratosthenes' method for determining the size of the earth was an elegant application of simple geometry to an otherwise very difficult problem. An in depth look at the method offered by eratosthenes shows that the original calculation for the earth's meridian circumference was made by the ancient egyptians thousands of years before eratosthenes' time. Earth perimeter calculator the eratosthenes experiment with this information he measured the circumference of the earth without leaving egypt by assuming that earth was a sphere and that the sun rays are parallel when they arrive to earth eratosthenes assumed that earth is a sphere and that the solar rays are parallel when they reach earth. Calculation 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 degree of latitude. Eratosthenes’ proportion objective: to use a midday shadow on or close to the day of an equinox to calculate earth’s polar circumference as a young teenager, christopher columbus was an apprentice sailor on ships that sailed between the mediterranean sea and ireland.
How eratosthenes calculated the earth’s circumference so, if one would know the distance between syene and alexandria, s/he could calculate the circumference of earth 360/7 is close to 1/50th of a circle, so eratosthenes concluded that the earth’s circumference was fifty times of that distance. There are 360 o in a complete circle, so the portion of the circumference of the earth between a and s is , which is approximately (or, is approximately 50) the distance from alexandria to syrene is 800 km, so he concluded that the circumference of the earth must be. Start studying eratosthenes learn vocabulary, terms, and more with flashcards, games, and other study tools he used a trig angle to calculate the difference click the arrows below to advance he used the 7 degrees of 360 and found that was 2% of the circumference of the earth circumference of earth he multiplied 500 by 50 to get. Originally answered: how was eratosthenes of cyrene able to calculate the circumference of the earth eratosthenes calculated the circumference of the earth without leaving egypt he knew that at local noon on the summer solstice in syene (modern aswan , egypt), the sun was directly overhead. Eratosthenes is credited with calclating the circumference of the earth at the equivalent of 25,000 miles/40,000km in about 205 bce.
Therefore, eratosthenes thought, if he multiplied the distance between syene and alexandria by 50, he would have the circumference of the earth the missing information was simply how far away. Greek mathematician named eratosthenes (276 bc to 194 bc) from alexandria in the year 240bc made a simple yet incredibly genius experiment at that time to calculate the circumference of the earth his assumptions led him to circumference value of 40,000km which is very close to the actual answer 40,030km. With the circumnavigation of the globe and subsequent scientific calculations, the accepted value of the circumference of the earth returned from ptolemy's calculation back to that of eratosthenes after countless millennia, scientists, explorers, clergy, and laymen finally knew the true shape and true size of the earth. - recall the diameter (13 000 km) of the earth - describe how eratosthenes made the first accurate calculation of the circumference of the earth eratosthenes was a greek mathematician and was the librarian of alexandria in egypt.
Knowing that the earth was a sphere, he needed only two critical measurements to calculate the circumference already eratosthenes knew the approximate distance between syene and alexandria, as measured by camel-powered trade caravans. Eratosthenes was a greek astronomer in ancient times around 240 bc he made the first good measurement of the size of the earthhow did he do that eratosthenes used the lengths of shadows to figure out how high in the sky the sun was in a certain place on a certain day. Relative to eratosthenes and his determination of the earth’s circumference: • investigate and document the history of efforts to determine the circumference of the eath. Thus, eratosthenes calculated that the distance from alexandria to syene, 5000 stades, was about 7/360 the circumference of the earth, or fifty times greater than the distance between the two sticks therefore, eratosthenes calculated the earth's total circumference to be 50 times 5,000 equals 250,000 stades.