WebJul 29, 2024 · After hiring a man to pace the distance between Syene and Alexandria, he found out that the two cities were five thousand stadia apart, which is about eight hundred kilometers. He could then use simple proportions to find the Earth’s circumference—7.2 degrees is 1/50 of 360 degrees, so 800 times 50 equals 40,000 kilometers. WebJan 10, 2015 · The point is that the ancients had a valid mathematical and astronomical basis for calculating the radius of the earth (Eratosthenes) and for determining the distance to the moon in earth radii (Hipparchus). If you have a broadly correct figure for these two things you can express the distance to the moon in whatever units you like. – …
No. 1457: Eratosthene
WebApr 1, 2014 · An eclipse of the Moon occurs when the Moon passes through the shadow of the Earth, on the opposite side from the Sun (therefore, we must be seeing a full Moon). If r is the radius of the Earth, the shadow's width is close to 2r. Let t be the time it takes the mid-point of the Moon to cross the center of the shadow, about 3 hours (in eclipses ... WebSome formulas you’ll need (r = radius of circle / sphere) Circumference of a Circle: Volume of a Sphere: Question 1: What is the radius of the Earth? Use Eratosthenes’ estimate for the circumference of the Earth to find its … harry and the sports competition en español
Eratosthenes’ Determination of Earth’s Circumference
http://www-personal.umich.edu/~copyrght/image/books/Spatial%20Synthesis/Eratosthenes/ http://homework.uoregon.edu/pub/emj/121/lectures/eratosthenes.html WebApr 14, 2024 · To Eratosthenes’ measurements, they point out that in principle the same effect can be achieved if the Sun is much smaller and closer (which is true). ... In the case of the Earth, the mean radius is 6371 km, so the surface area should be about 510 million km^2, which indeed is the answer Google will give you. ... In this case there’s no ... charities for school shooting