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.

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Authors & Contributors
Vitrac, Bernard
Krol, Z.
Euclid
De Risi, Vincenzo
Mode,
Webster, Colin
Journals
Apeiron: Journal for Ancient Philosophy and Science
Science in Context
Kwartalnik Historii Nauki i Techniki
Archive for History of Exact Sciences
Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaften
Synthese
Publishers
Presses Universitaires de France
Museum Tusculanum Press
de Gruyter
CSLI Publications
Concepts
Geometry
Mathematics
Arab/Islamic world, civilization and culture
Manuscripts
Transmission of texts
Translations
People
Euclid
Eudoxus of Cnidos
Aristotle
Pappus of Alexandria
Heiberg, Johan Ludvig
Theaetetus of Athens
Time Periods
Ancient
Medieval
Renaissance
19th century
Places
Greece
Rome (Italy)
Denmark
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