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Fibonacci's De Practica Geometrie / by Barnabas Hughes
(Sources and Studies in the History of Mathematics and Physical Sciences. ISSN:21968829)

1st ed. 2008.
出版者 New York, NY : Springer New York : Imprint: Springer
出版年 2008
本文言語 英語
大きさ XXXVI, 412 p. 416 illus : online resource
著者標目 *Hughes, Barnabas author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:History
LCSH:Geometry
FREE:History of Mathematical Sciences
FREE:Geometry
一般注記 Measuring Areas of Rectangular Fields -- Finding Roots of Numbers -- Measuring All Kinds of Fields -- Dividing Fields Among Partners -- Finding Cube Roots -- Finding Dimensions of Bodies -- Measuring Heights, Depths, and Longitude of Planets -- Geometric Subtleties
Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 - ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De practica geometrie. Beginning with the definitions and constructions found early on in Euclid's Elements, Fibonacci instructed his reader how to compute with Pisan units of measure, find square and cube roots, determine dimensions of both rectilinear and curved surfaces and solids, work with tables for indirect measurement, and perhaps finally fire the imagination of builders with analyses of pentagons and decagons. His work exceeded what readers would expect for the topic. Practical Geometry is the name of the craft for medieval landmeasurers, otherwise known as surveyors in modern times. Fibonacci wrote De practica geometrie for these artisans, a fitting complement to Liber abbaci. He had been at work on the geometry project for some time when a friend encouraged him to complete the task, which he did, going beyond the merely practical, as he remarked, "Some parts are presented according to geometric demonstrations, other parts in dimensions after a lay fashion, with which they wish to engage according to the more common practice." This translation offers a reconstruction of De practica geometrie as the author judges Fibonacci wrote it. In order to appreciate what Fibonacci created, the author considers his command of Arabic, his schooling, and the resources available to him. To these are added the authors own views on translation and remarks about early Renaissance Italian translations. A bibliography of primary and secondary resources follows the translation, completed by an index of names and special words
HTTP:URL=https://doi.org/10.1007/978-0-387-72931-2
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書誌ID 4000116160
ISBN 9780387729312

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