The Pythagorean Theorem

John W. Dawson
Additional contact information
John W. Dawson: Penn State York

Chapter Chapter 5 in Why Prove it Again?, 2015, pp 25-39 from Springer

Abstract: Abstract The Pythagorean Theorem is one of the oldest, best known, and most useful theorems in all of mathematics, and it has also surely been proved in more different ways than any other. Euclid gave two proofs of it in the Elements, as Proposition I,47, and also as Proposition VI,31, a more general but less well-known formulation concerning arbitrary ‘figures’ described on the sides of a right triangle. The first of those demonstrations is based on a comparison of areas and the second on similarity theory, a basic distinction that can be used as a first step in classifying many other proofs of the theorem as well.

Keywords: Similarity Theory; Pythagorean Theorem; Ratio Definition; Trigonometric Form; Congruent Piece (search for similar items in EconPapers)
Date: 2015
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:978-3-319-17368-9_5

Ordering information: This item can be ordered from
http://www.springer.com/9783319173689

DOI: 10.1007/978-3-319-17368-9_5

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 ().