Parabolas infiltrating the Ford circles

After briefly discussing classical results of Farey fractions and Ford circles, we define and study a new family of parabolas in connection with Ford circles and discover some interesting properties that they have. Using these properties, we provide an application of such a family.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Hutchinson, Suzanne C

Contributors dc:contributor

• Zaharescu, Alexandru

• none

Statement dc:rights

• Copyright 2015 Suzanne Hutchinson

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/87952

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/87952