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PowerPoint Presentation Mr. Syracuse PowerPoint Presentation Copyright 2008, All rights reserved

Eratosthenes’ Method

Eratosthenes of Cyrene β Eratosthenes of Cyrene 276-194 B.C.E.

The known world in 194 B.C.E.

Ancient Library of Alexandria

Modern Library of Alexandria

Modern Library of Alexandria

Ancient unit of measurement – the Stade Stadium name Length (approximate) Itinerary 157 m Olympic 176 m Attic/Italic 185 m Babylonian-Persian 196 m Phoenician-Egyptian 209 m

How big is the Earth?

Look to the sun for the answer! Obelisk in Alexandria Sun Earth Well in Syene

θ What Eratosthenes noticed Sunlight was at an angle in Alexandria… …And right overhead in Syene. θ

How could this be explained? Center – O – the earth θ θ

θ 360° Distance Circumference = We can get a simple formula! Part of a circle in relation to the whole circle… θ 360° Distance Circumference = …Part of the circumference in relation to the whole circumference.

So how big is the earth? Eratosthenes figured out that θ was 7.2° He knew the distance was 5,000 stadia Just plug and chug to find the circumference! He got 39,690 km. How far off is that?