Article ID: CBB484034654

Exploring the Lunes of Hippocrates in a Dynamic Geometry Environment (2016)

unapi

These classroom notes offer methods of solving the quadrature of lunes, that is, the area of croissant-shaped plane figures bounded by two intersecting non-congruent circular arcs, using Hippocrates of Chios’ area conservation and similarity arguments. I also offer a method of using history in the classroom with students via dynamic geometry snapshots presented in a manner that complements the analytic and the visual approaches.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB484034654/

Similar Citations

Article Harari, Orna; (2003)
The Concept of Existence and the Role of Constructions in Euclid's Elements (/isis/citation/CBB000300433/)

Article Solere, Jean-Luc; (2003)
L'ordre axiomatique comme modèle d'écriture philosophique dans l'Antiquité et au Moyen Age (/isis/citation/CBB000770963/)

Article Le Meur, Guy; (2012)
Le rôle des diagrammes dans quelques traités de la Petite astronomie (/isis/citation/CBB001211449/)

Article De Groot, Jean; (2009)
Modes of Explanation in the Aristotelian “Mechanical Problems” (/isis/citation/CBB000932570/)

Article Geymonat, Mario; (2009)
Arithmetic and Geometry in Ancient Rome: Surveyors, Intellectuals, and Poets (/isis/citation/CBB000933728/)

Article Mode, ; (2007)
A Study of the Editions of Euclid's Elements (II) (/isis/citation/CBB000760544/)

Article Krol, Z.; (2007)
Introduction to Ancient Theories of Proportion (/isis/citation/CBB000931652/)

Article Aboav, David; (2008)
Euclid's Book on Divisions of Figures: A Conjecture as to Its Origin (/isis/citation/CBB000850606/)

Article Vitrac, Bernard; Djebbar, Ahmed; (2012)
Le Livre XIV des Éléments d'Euclide: versions grecques et arabes (seconde partie) (/isis/citation/CBB001252980/)

Article Berggren, J. L.; Brummelen, Glen van; (2002-2003)
From Euclid to Apollonius: al-Kūhī's Lemmas to the Conics (/isis/citation/CBB000501033/)

Article Vincenzo De Risi; (2021)
Gapless Lines and Gapless Proofs: Intersections and Continuity in Euclid’s Elements (/isis/citation/CBB308715233/)

Article Mueller, Ian; (2003)
Remarks on Euclid's Elements I, 32 and the Parallel Postulate (/isis/citation/CBB000740732/)

Book Euclid, ; Taisbak, Christian Marinus; (2003)
Dedomena---Euclid's Data, or, The Importance of Being Given (/isis/citation/CBB000301663/)

Book Suppes, Patrick; Moravcsik, Julius M.; Mendell, Henry; (2000)
Ancient & Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr (/isis/citation/CBB000101823/)

Book Tóth, Imre; (2010)
Fragmente und Spuren nichteuklidischer Geometrie bei Aristoteles (/isis/citation/CBB001420976/)

Article Saito, Ken; (2012)
Traditions of the Diagram, Tradition of the Text: A Case Study (/isis/citation/CBB001211476/)

Authors & Contributors
Vitrac, Bernard
Krol, Z.
Euclid
De Risi, Vincenzo
Mode,
Toth, Imre
Concepts
Geometry
Mathematics
Arab/Islamic world, civilization and culture
Physics
Manuscripts
Diagrams
Time Periods
Ancient
Medieval
Renaissance
19th century
Places
Greece
Rome (Italy)
Denmark
Alexandria (Egypt)
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment