Скачать или смотреть Distances to the sun and moon | Famous Math Problems 9 | NJ Wildberger

How far away from the earth are the sun and moon? This natural and important problem was first successfully tackled by the ancient Greeks, for whom astronomy was one of the most important motivations for developing mathematics. In this lecture we meet the thinking of Thales, Pythagoras, Anaxagoras, Plato, Eudoxus, and most prominently Erastothenes and Aristarchus. These last two gave arguments for computing the sizes of the earth, moon and sun, and the distances to the moon and sun.

The lecture is illustrated with diagrams which (roughly) give scale diagrams of our portion of the solar system.

Video Content:
00:00 Introduction
5:31 Diameter of sun
9:52 How far away are the sun and the moon?
13:54 Anaxagoras and lunar eclipses
17:41 Exodus and motions of moon, sun and planets
24:04 Eratosthenes and measurements
31:04 Aristarchus and Earth's shadow

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Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.

My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...

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Here are the Insights into Mathematics Playlists:

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Here are the Wild Egg Maths Playlists (some available only to Members!)

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