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Exploring the lunes of Hippocrates in a dynamic geometry environment. (English) Zbl 1346.97005

This is a report on computer lab classroom experiences in an undergraduate ‘History of mathematics’ class with Geometer’s Sketchpad or GeoGebra in figuring out why Hippocrates’s lunes are squarable.

MSC:

97G40 Plane and solid geometry (educational aspects)
97U70 Technological tools, calculators (aspects of mathematics education)
51M04 Elementary problems in Euclidean geometries
51-03 History of geometry
01A20 History of Greek and Roman mathematics
97D30 Objectives and goals of mathematics teaching

Keywords:

Hippocrates; lunes
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References:

[1] DOI: 10.1007/s10758-005-5216-x · Zbl 02365697 · doi:10.1007/s10758-005-5216-x
[2] Heath T L, A history of Greek mathematics: from Thales to Euclid (1921) · JFM 48.0046.01
[3] Jackiw N, The geometer’s sketchpad (1989)
[4] Katz V J, A history of mathematics: an introduction, 3. ed. (2009)
[5] DOI: 10.1007/BF01446522 · JFM 14.0369.04 · doi:10.1007/BF01446522
[6] Midonick H, The treasury of mathematics (1965) · Zbl 0136.00301
[7] National Council of Teachers of Mathematics (NCTM), Historical topics for the mathematics classroom (1989)
[8] Van Der Waerden B L, Science awakening (1961)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.