Ta knjiga je v tujem jeziku: Angleščina
Lastnosti knjige
- Jezik: Angleščina
- Založnik: Dover Publications Inc.
- Vezava: Knjiga – Brošura
- Število strani: 192
Originalni opis knjige
Introduction1 A bit of background A practical problem A basic theorem Means2 Harmonic division and Apollonian circles Harmonic conjugates The circle of Apollonius Coaxial families3 Inversive geometry Transformations Inversion Invariants Cross-ratio4 Application for inversive geometry Two easy problems Peaucellier's linkage Apollonius' problem Steiner chains The arbelos5 The hexlet The conics defined A property of chains Soddy's hexlet Some new hexlets6 The conic sections The reflection property Confocal conics Plan sections of a cone A characteristic of parabolas7 Projective geometry Projective transformations The foundations Cross-ratio The complete quadrangle Pascal's Theorem Duality8 Some Euclidean topics A navigation problem A three-circle problem The Euler line The nine-point circle A triangle problem9 The golden section The pentagram Similarities and spirals The regular polyhedra The continued fraction for