On Tertial, Quintal, Etc., Fractions

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1911 English Publisher:Informa UK LimitedJournal:The Mathematical Gazette, volume 6, pages 63-67 (issn: 0025-5572, eissn: 2056-6328,

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Authors: Cunningham, Allan;

doi: 10.2307/3603345

On Tertial, Quintal, Etc., Fractions

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Abstract

1. Def. The reciprocal (1/ N ) of any number ( N ) will be termed a Binal, Tertial, Quintal, ... Decimal , ... r- mal fraction, when expressed in the scale whose radix is r = 2, 3, 4, ... 10, ... r respectively. In this paper the developments will be given for the most part in a general form in the r -scale; the examples will be in the scales of r = 3 and 5. The notation is similar to that of ordinary decimals . Thus (see Tables at end):

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