Archimedes and caustics: a twofold multimedia and experimental approach. (English)
Paipetis, Stephanos A. (ed.) et al., The genius of Archimedes ‒ 23 centuries of influence on mathematics, science and engineering. Proceedings of an international conference, Syracuse, Italy, June 8‒10, 2010. Dordrecht: Springer (ISBN 978-90-481-9090-4/hbk; 978-90-481-9091-1/ebook). History of Mechanism and Machine Science 11, 45-56 (2010).
This article will not be reviewed individually. For a complete review of the volume, see [Zbl 1208.00025]. Summary: We present a twofold educational approach to the reflective properties of surfaces, starting from the historical context of Archimedes “burning mirrors”. The properties of the emerging surface known as “caustic” of a given smoothly shaped mirror are illustrated by an interactive multimedia. An experimental device is also proposed to visualize the geometrical principles underlying the formation of caustics. The proposed didactical trail is intended also to contextualize the figure and work of Archimedes in a perspective tightly linked to modern technology, so to collect young learners’ interest.