# Book:Archimedes/The Sand-Reckoner

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## Archimedes:

## Archimedes: *The Sand-Reckoner*

Published $\text {c. 250 BCE}$

### Subject Matter

Archimedes describes a system of notation for designating very large numbers, up to $N^{N^N}$, where $N = 10^8$.

### Contents

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## Also known as

Some sources render this without the hyphen: **Sandreckoner**.

## Historical Note

*The Sand-Reckoner* by Archimedes was addressed to King Gelon of Syracuse (who appears to have lived some $250$ years earlier).

It is in this book that we learn that Aristarchus of Samos had first proposed a heliocentric universe, nearly $2000$ years before Nicolaus Copernicus.

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $-1$ and $i$ - 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $10^{51}$ - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.5$: Archimedes (ca. $\text {287}$ – $\text {212}$ B.C.) - 1992: David Wells:
*Curious and Interesting Puzzles*... (previous) ... (next): Archimedes' Cattle Problem - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $-1$ and $i$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $10^{51}$