By Barnabas Hughes (eds.)
Leonardo da Pisa, might be greater referred to as Fibonacci (ca. 1170 - ca. 1240), chosen the main worthwhile components of Greco-Arabic geometry for the ebook referred to as De practica geometrie. starting with the definitions and structures came upon early on in Euclid's parts, Fibonacci prompt his reader tips to compute with Pisan devices of degree, locate sq. and dice roots, make sure dimensions of either rectilinear and curved surfaces and solids, paintings with tables for oblique dimension, and maybe eventually hearth the mind's eye of developers with analyses of pentagons and decagons. His paintings handed what readers could count on for the subject.
Practical Geometry is the identify of the craft for medieval landmeasurers, in a different way referred to as surveyors nowa days. Fibonacci wrote De practica geometrie for those artisans, a becoming supplement to Liber abbaci. He were at paintings at the geometry undertaking for it slow while a pal inspired him to accomplish the duty, which he did, going past the only sensible, as he remarked, "Some elements are awarded based on geometric demonstrations, different components in dimensions after a lay model, with which they want to have interaction in line with the extra universal practice."
This translation bargains a reconstruction of De practica geometrie because the writer judges Fibonacci wrote it. on the way to enjoy 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 comments approximately early Renaissance Italian translations. A bibliography of basic and secondary assets follows the interpretation, accomplished by way of an index of names and specified words.
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Extra info for Fibonacci’s De Practica Geometrie
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.
To touch the right ankle bone from the same side with the tip of the left foot means 5. The 18 Fibonacci’s De Practica Geometrie other five signs are made in the same order with the right foot on the left. The sign for 11 is made by placing the heel of the right foot over the left ankle bone. We do not need additional signs because 12 deniers make one soldus that can be kept in the left hand. Nothing need be said about manual signs because everyone who knows how to calculate knows them. We return to what was proposed: you will multiply again 2 feet by 12 rods to get 12 solmdi.
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.
Fibonacci’s De Practica Geometrie by Barnabas Hughes (eds.)