Some Pioneers of Greek Geometry

Francis Borceux
Additional contact information
Francis Borceux: Université catholique de Louvain

Chapter Chapter 2 in An Axiomatic Approach to Geometry, 2014, pp 9-42 from Springer

Abstract: Abstract It is essentially in Greece, some seven centuries before Christ, that a deductive approach to geometry—based on ruler and compass constructions—starts to appear. The names of Thales and Pythagoras are certainly famous to this respect, as well as the three so-called “classical problems”: the trisection of the angle, the duplication of the cube and the squaring of the circle. Less popular but much more fundamental, the work of Eudoxus overcomes the problem of “incommensurable magnitudes” …that is, in contemporary terms, he introduces Dedekind cuts to handle the “continuity arguments”.

Keywords: Regular Polygon; Golden Section; Golden Ratio; Half Circle; Similar Triangle (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-01730-3_2

Ordering information: This item can be ordered from
http://www.springer.com/9783319017303

DOI: 10.1007/978-3-319-01730-3_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().