### 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) |
---|---|

Pages (from-to) | 745-754 |

Number of pages | 10 |

Journal | SIAM Review |

Volume | 39 |

Issue number | 4 |

State | Published - Dec 1997 |

Externally published | Yes |

### Fingerprint

### 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.

**Finding the center of a circular starting line in an ancient greek stadium.** / Rorres, Chris; Romano, David Gilman.

Research output: Contribution to journal › Article

*SIAM Review*, vol. 39, no. 4, pp. 745-754.

}

TY - JOUR

T1 - Finding the center of a circular starting line in an ancient greek stadium

AU - Rorres, Chris

AU - Romano, David Gilman

PY - 1997/12

Y1 - 1997/12

N2 - 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.

AB - 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.

KW - Archaeology

KW - Circles

KW - Degree

KW - History of mathematics

KW - Least squares

KW - Racetrack

KW - Stadium

KW - Starting line

UR - http://www.scopus.com/inward/record.url?scp=0031331818&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031331818&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031331818

VL - 39

SP - 745

EP - 754

JO - SIAM Review

JF - SIAM Review

SN - 0036-1445

IS - 4

ER -