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Zaharescu, Alexandru Hutchinson, Suzanne C 2015-09-29T20:37:35Z 2015-09-29T20:37:35Z 2015-08 2015-05-28 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. 2015-8 Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2015-09-29 without embargo terms The student, Suzanne Hutchinson, accepted the attached license on 2015-05-27 at 23:37. The student, Suzanne Hutchinson, submitted this Thesis for approval on 2015-05-27 at 23:41. This Thesis was approved for publication on 2015-05-28 at 09:50. DSpace SAF Submission Ingestion Package generated from Vireo submission #8251 on 2015-09-29 at 13:21:17 Made available in DSpace on 2015-09-29T20:37:35Z (GMT). No. of bitstreams: 2 HUTCHINSON-THESIS-2015.pdf: 529584 bytes, checksum: 7a4aee86c54777e4dc7fbb74a5123d00 (MD5) LICENSE.txt: 4215 bytes, checksum: d3458367db0249d9652e2709e4abad5c (MD5) Previous issue date: 2015-05-28 application/pdf http://hdl.handle.net/2142/87952 en Copyright 2015 Suzanne Hutchinson none Parabolas infiltrating the Ford circles text text Mathematics Mathematics University of Illinois at Urbana-Champaign Thesis M.S.