### Abstract

Two methods for finding the center and radius of a circular starting line of a racetrack in an ancient. Greek Stadium are presented and copared. The first is a method employed by the archaeologists who surveyed the starting line and the second is a least-squares method leading to a maximum-likelihood circle, We show that hte first method yields a circle whose radius is somewhat longer that the radius determined by the last-squares method and propose reasons for this differnce. A knowledge of the center and radius of the starting line is useful for determining units of length and angle used by the anceint Greeks, in addition to providing information of how ancient racetracks were laid out.

Original language | English (US) |
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Pages (from-to) | 745-754 |

Number of pages | 10 |

Journal | SIAM Review |

Volume | 39 |

Issue number | 4 |

Publication status | Published - Dec 1997 |

Externally published | Yes |

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### Keywords

- Archaeology
- Circles
- Degree
- History of mathematics
- Least squares
- Racetrack
- Stadium
- Starting line

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*SIAM Review*,

*39*(4), 745-754.