Exploring Classical Greek Construction Problems with Interactive Geometry Software

DOI10.1007/978-3-319-42863-5zbMath1447.51001OpenAlexW2586190117MaRDI QIDQ2829292

Paul Tytgat, Ad Meskens

Publication date: 27 October 2016

Published in: Compact Textbooks in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42863-5

zbMATH Keywords

constructible numbersApollonius' problemArchimedean spiraltrisecting an angleDelian problemDinostratus' quadratrixfirst Archimedian trisectionHippias of Elis' quadratrixHippocrates' lunesmechanical constructionsneusissquarable lunessquaring a cube

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15) Software, source code, etc. for problems pertaining to geometry (51-04) History of Greek and Roman mathematics (01A20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01) History of geometry (51-03)

Related Items

Uses of construction in problems and theorems in Euclid's \textit{Elements} I--VI

Uses Software

• Cinderella
• GeoGebra
• Geometer's Sketchpad