Finding Fibonacci by Devlin Keith;

Author:Devlin, Keith;
Language: eng
Format: epub
Publisher: Princeton University Press
Published: 2017-07-09T16:00:00+00:00

To read this, you need to understand that when Europeans in ­Leonardo’s time learned the Hindu-­Arabic number system they wrote fractions before the whole number part, building the fraction up from right to left, with each new fraction representing that part of what is to the right. For example,

The right-­to-­left ordering may simply be a carryover from the writing of Arabic, although it is of interest to note that, for the most part, Arabic texts expressed Hindu-­Arabic numbers rhetorically, using words instead of symbols. Leonardo would have articulated the above fraction as the Arabic mathematicians would both write and speak it: “Four fifths, and two thirds of a fifth, and one half of a third of a fifth.”

Decimal expansions are a special case of this notation when the denominators are all 10. For example, Leonardo would have written today’s decimal number 3.14159 as

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