Hostname: page-component-7b7567c8c-fvjsw Total loading time: 0 Render date: 2026-11-12T10:15:57.044Z Has data issue: false hasContentIssue false
  • English
  • Français

103.23 On Pitot’s theorem

Published online by Cambridge University Press:  06 June 2019

Martin Josefsson
Martin Josefsson*
Affiliation:
Västergatan 25d, 285 37 Markaryd, Sweden e-mail: martin.markaryd@hotmail.com

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Information

Type
Notes
Information
The Mathematical Gazette , Volume 103 , Issue 557 , July 2019, pp. 333 - 337
Copyright
© Mathematical Association 2019 

References

Josefsson, M., More characterizations of tangential quadrilaterals, Forum Geom. 11 (2011) pp. 65-82.Google Scholar
Sauvé, L., On circumscribable quadrilaterals, Crux Math. 2 (1976) pp. 63-67, available at https://cms.math.ca/crux/backfile/Crux_v2n04_Apr.pdfGoogle Scholar
Andreescu, T. and Enescu, B., Mathematical olympiad treasures, Birkhäuser, Boston (2004) pp. 65-67.CrossRefGoogle Scholar
Worrall, C., A journey with circumscribable quadrilaterals, Mathematics Teacher 3 (2004), pp. 192-199.Google Scholar
Agricola, I. and Friedrich, T., Elementary geometry, American Mathematical Society (2008) pp. 56-57.Google Scholar
Puzzled417 (username), The Pitot theorem, Art of problem solving, (2016), available at https://artofproblemsolving.com/community/c2899h1224698Google Scholar
Pop, O. T., Minculete, N. and Bencze, M., An introduction to quadrilateral geometry, Editura Didacticã ºi Pedagogicã, Bucharest, Romania (2013) pp. 126-129.Google Scholar
Habib, M. and Pakornrat, W., Pitot’s theorem, Brilliant, accessed July 2018: https://brilliant.org/wiki/pitots-theorem/Google Scholar
Leonard, I. E., Lewis, J. E., Liu, A. C. F. and Tokarsky, G. W., Classical geometry. Euclidean, transformational, inversive, and projective, Wiley (2014) pp. 35-36.Google Scholar
Bosch, R., A new proof of Pitot theorem by AM-GM inequality, Forum Geom. 18 (2018) pp. 251-253.Google Scholar
Kedlaya, K. S., Geometry unbound (2006) p. 69, available at http://kskedlaya.org/geometryunbound/Google Scholar
junior2001 (username), geometric inequality, Art of problem solving (2015), available at https://artofproblemsolving.com/community/c6t48f6h1081532Google Scholar
Unknown, questioner, If is a quadrilateral in which , prove that the internal bisectors of the vertex angles are concurrent, Quora (2016), available at https://www.quora.com/If-ABCD-is-a-quadrilateral-in-which-AB+CDBC+AD-prove-that-the-internal-bisectors-of-the-vertex-angles-areconcurrentGoogle Scholar
Proof by contradiction, Wikipedia, accessed 22 September 2018, https://en.wikipedia.org/wiki/Proof_by_contradiction#%20Relationship_with_other_proof_techniquesGoogle Scholar