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By Barnabas Hughes

Leonardo da Pisa, possibly greater often called Fibonacci (ca. 1170 - ca. 1240), chosen the main worthy components of Greco-Arabic geometry for the e-book referred to as De practica geometrie. starting with the definitions and buildings stumbled on early on in Euclid's components, Fibonacci advised his reader how one can compute with Pisan devices of degree, locate sq. and dice roots, verify dimensions of either rectilinear and curved surfaces and solids, paintings with tables for oblique size, and maybe ultimately hearth the mind's eye of developers with analyses of pentagons and decagons. His paintings passed what readers could anticipate for the subject. sensible Geometry is the identify of the craft for medieval landmeasurers, in a different way often called surveyors nowa days. Fibonacci wrote De practica geometrie for those artisans, a becoming supplement to Liber abbaci. He have been at paintings at the geometry venture for a while while a chum inspired him to accomplish the duty, which he did, going past the simply functional, as he remarked, "Some components are offered in accordance with geometric demonstrations, different elements in dimensions after a lay style, with which they need to have interaction in line with the extra universal practice.This translation deals a reconstruction of De practica geometrie because the writer judges Fibonacci wrote it. as a way to get pleasure from what Fibonacci created, the writer considers his command of Arabic, his education, and the assets to be had to him. to those are additional the authors personal perspectives on translation and feedback approximately past Italian translations. A bibliography of fundamental and secondary assets follows the interpretation, accomplished by way of an index of names and designated phrases.

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The statement of the problem is apparently incomplete and the proof is faulty. What seems incomplete is an unannounced line-segment required for an operation. The fault lies in concluding that because corresponding sides of two triangles are proportional, the triangles are congruent, as Background xxxv the Latin text states. In fact they are only similar, as I corrected the text. The error is so obvious that it suggests to me that someone else added the two paragraphs. Inasmuch as both are at the end of a major section, I wonder if they were not slipped in by an over-eager instructor or copyist who thought he had successfully captured Fibonacci’s method.

Over all this add the product of 2 feet by 36 rods, namely 36 soldi, and the product of 3 feet by 17 rods, or 21 25 soldi, and the product of 3 feet by 2 feet, namely 6 deniers. And however much the soldi in your left hand had increased for you, change them to as many panes as possible. And thus you will have in sum 9 staria, 7 panes, and 6 deniers. [15] Likewise, if you wish to multiply 26 rods 4 feet by 43 rods 5 feet, first multiply the 26 rods by the 43 rods to get 16 staria, 11 panes, and 21 4 soldi.

Some gather by multiplying from these areal measures a certain quantity which they call iugerum or aripennium or carrucam or tornaturam or culturam or other quantities which require other words. I, however, follow the custom at Pisa beginning with the rod. The Pisan linear rod is six linear feet long. A linear foot consists of 18 linear points. The square or areal rod consists of six areal feet. An areal foot is one rod long and six parts of a rod wide. An areal inch is one rod long and an eighteenth part of a long foot wide.

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