We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A proof of the converse of the Pythagorean proposition.
- Authors
SCIMONE, ALDO
- Abstract
The article presents a demonstration of the converse of the Pythagorean Theorem based on the reductio ad absurdum. This is necessary to overcome the discrepancy, noticed by pupils, between the Euclidean purpose to demonstrate that the given triangle is right-angled and the auxiliary figure by which the given triangle is drawn as if it were already a right-angled one. To the eyes of students this does not make the Euclidean reasoning clear.
- Subjects
PYTHAGOREAN theorem; GEOMETRY problems &; exercises; RIGHT angle; EUCLID; TRIANGLES
- Publication
Teaching Mathematics & its Applications, 2009, Vol 28, Issue 3, p113
- ISSN
0268-3679
- Publication type
Article
- DOI
10.1093/teamat/hrp012