Eratosthenes Panels

Autor:jhmc

Eratosthenes Panels was a mechanical device for finding means between two extremes. This is an interactive simulation of the method Eratosthenes used to find two lines,

and

, whose lengths were between the lengths of two given lines,

and

, and such that

. From this it is easy to show that

which reduces to

. In our model

and

and this becomes

. For the cube duplication problem

and

. To use the model: Choose a Number and a Panel Width. Then drag

until length

. Lines

and

will be the two means between

and

with

is the required line.

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