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|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.4169/amer.math.monthly.118.02.130|
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We give an elementary geometric proof using Ford circles of a well-known theorem of Lagrange, which says that the convergents of the continued fraction expansion of a real number α coincide with the rationals that are best approximations of α.
|Item Type:||Journal Article|
|Copyright Holders:||2011 The Mathematical Association of America|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Ian Short|
|Date Deposited:||16 Feb 2011 12:00|
|Last Modified:||27 Apr 2014 05:23|
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