Exploring classical Greek construction problems with interactive geometry software. (2017)

• Record Type: Book
• Further Information: Note: Ad Meskens, Paul Tytgat.
• Authors: Meskens, Ad; Tytgat, Paul
• Contents: Preface; Some preliminary remarks; Contents; List of Figures[1]; 1 Introduction; 1.1 Introduction; 1.2 Interactive Geometry Software (IGS); 1.3 Polar coordinates; 2 The Genesis of Geometry; 2.1 Greeks and their Geometry; 2.2 Examples from Plato's hierarchy; 2.3 Adrian van Roomen and Apollonius' Problem; 2.4 Mechanical construction aids; 2.5 Neusis; 3 Compass and straightedge constructions; 3.1 Euclid's Elements; 3.2 Compass and straightedge constructions; 3.3 François Viète and Apollonius' Problem; 4 The Delian Problem; 4.1 Delos and its altar; 4.2 Wine gauging. 4.3 Doubling the cube with a neusis5 Trisecting an angle; 5.1 Nicomedes' conchoid; 5.2 Archimedes; 5.3 The first Archimedean trisection; 5.4 The Archimedean spiral; 5.5 The Flemish Jesuits; 5.6 Hippias of Elis and the quadratrix; 6 Squaring the circle; 6.1 Archimedes' spiral revisited; 6.2 Dinostratus' quadratrix; 6.3 Hippocrates' lunes; 6.4 Franco of Liège, the demise of mathematics; 6.5 Nicolas of Cusa; 6.6 Archimedes' approximation; 6.7 Adriaan van Roomen and Ludolff van Ceulen; 6.8 Kepler's use of infinitesimal methods; 6.9 Gregory of St Vincent; 7 Constructible numbers. 7.1 Constructing numbers7.2 The theory of equations; 7.3 Squarable lunes; 7.4 Squaring the circle is different & 8 The Cinderella of regular polygons; 8.1 The inconstructibility of the heptagon; 8.2 The relation with the trisection; 8.3 A neusis for the heptagon; Servicepart; Solutions; References; Index.
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2017
• Extent: 1 online resource (xii, 185 pages), illustrations (some color)
• Subjects: 516.009; Mathematics; Geometry -- History; Geometrical constructions; Geometry -- Computer programs; MATHEMATICS -- Geometry -- General; Geometrical constructions; Geometry; Geometry -- Computer programs; Mathematics -- History & Philosophy; Education -- Teaching Methods & Materials -- Mathematics; History of mathematics; Teaching of a specific subject; Geometry; Geometry; Electronic books; History
• Languages: English
• ISBNs: 9783319428635; 3319428632
• Related ISBNs: 9783319428628; 3319428624
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 20, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.