### Resumé

often been taken as evidence of transmission of mathematical knowledge or

techniques between China and “the West”. Confronting on one hand some

problems from Chapter VIII of the Nine Chapters with comparable problems

known from Ancient Greek sources, on the other a Seleucid collection of problems

about rectangles with a subset of the triangle problems from Chapter IX, it is

concluded,

(1) that transmission of some arithmetical riddles without method – not “from

Greece” but from a transnational community of traders – is almost certain,

and that these inspired the Chinese creation of the fangcheng method, for

which Chapter VIII is a coherent presentation;

(2) that transmission of the geometrical problems is to the contrary unlikely,

with one possible exception, and that the coherent presentation in Chapter

IX is based on local geometrical practice.

Originalsprog | Engelsk |
---|---|

Udgiver | Roskilde University |

Antal sider | 16 |

Status | Udgivet - 17 mar. 2016 |

### Citer dette

}

**Seleucid, Demotic and Mediterranean mathematics versus Chapters VIII and IX of the Nine Chapters: accidental or significant similarities?** / Høyrup, Jens.

Publikation: Working paper › Forskning

TY - UNPB

T1 - Seleucid, Demotic and Mediterranean mathematics versus Chapters VIII and IX of the Nine Chapters: accidental or significant similarities?

AU - Høyrup, Jens

PY - 2016/3/17

Y1 - 2016/3/17

N2 - Similarities of geometrical diagrams and arithmetical structures of problems haveoften been taken as evidence of transmission of mathematical knowledge ortechniques between China and “the West”. Confronting on one hand someproblems from Chapter VIII of the Nine Chapters with comparable problemsknown from Ancient Greek sources, on the other a Seleucid collection of problemsabout rectangles with a subset of the triangle problems from Chapter IX, it isconcluded,(1) that transmission of some arithmetical riddles without method – not “fromGreece” but from a transnational community of traders – is almost certain,and that these inspired the Chinese creation of the fangcheng method, forwhich Chapter VIII is a coherent presentation;(2) that transmission of the geometrical problems is to the contrary unlikely,with one possible exception, and that the coherent presentation in ChapterIX is based on local geometrical practice.

AB - Similarities of geometrical diagrams and arithmetical structures of problems haveoften been taken as evidence of transmission of mathematical knowledge ortechniques between China and “the West”. Confronting on one hand someproblems from Chapter VIII of the Nine Chapters with comparable problemsknown from Ancient Greek sources, on the other a Seleucid collection of problemsabout rectangles with a subset of the triangle problems from Chapter IX, it isconcluded,(1) that transmission of some arithmetical riddles without method – not “fromGreece” but from a transnational community of traders – is almost certain,and that these inspired the Chinese creation of the fangcheng method, forwhich Chapter VIII is a coherent presentation;(2) that transmission of the geometrical problems is to the contrary unlikely,with one possible exception, and that the coherent presentation in ChapterIX is based on local geometrical practice.

M3 - Working paper

BT - Seleucid, Demotic and Mediterranean mathematics versus Chapters VIII and IX of the Nine Chapters: accidental or significant similarities?

PB - Roskilde University

ER -