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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Видео Distances to the sun and moon | Famous Math Problems 9 | NJ Wildberger канала Insights into Mathematics