By Barnabas Hughes (eds.)

Leonardo da Pisa, might be greater often called 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 buildings discovered early on in Euclid's components, Fibonacci prompt his reader how you can compute with Pisan devices of degree, locate sq. and dice roots, ensure 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 surpassed what readers may count on for the subject.

Practical Geometry is the identify of the craft for medieval landmeasurers, differently 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 venture for your time while a pal inspired him to accomplish the duty, which he did, going past the only functional, as he remarked, "Some components are awarded in response to geometric demonstrations, different components in dimensions after a lay style, with which they want to interact based on the extra universal practice."

This translation deals a reconstruction of De practica geometrie because the writer judges Fibonacci wrote it. in an effort to savour what Fibonacci created, the writer considers his command of Arabic, his education, and the assets on hand to him. to those are further the authors personal perspectives on translation and feedback approximately early Renaissance Italian translations. A bibliography of fundamental and secondary assets follows the interpretation, accomplished through an index of names and certain words.

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Extra resources for Fibonacci’s De Practica Geometrie

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For when feet are multiplied by feet, deniers arise out of the product, as was said. Put 1 soldus in your left hand to represent the 12 deniers. 11 You will halve the product after multiplying. That is, you will multiply half of 3 feet by 28 or half of 28 by 3. Similarly you will multiply half of 4 feet by 17 or half of 17 by 4. And you will do this because in the multiplication of a foot by rods, the outcome is a foot or half of one soldus. Whence the multiplication of 3 feet in half of 28 rods, namely 14, makes 42 soldi.

Take from side ag line ae measuring 33 rods; the remaining line eg has 8 rods. Similarly, take from line bd line bz equal to line ae. 4]. Now zd is equal to line eg, namely, to 8 rods. Again, from lines ez and gd take straight lines ei and gt, each of which has 21 16 rods Now join line it and it equals both lines eg and zd. Now when lines ei and gt are removed from lines ez and gd, each of which measures 21 16 rods, there remains for each of the straight lines iz and td 21 2 rods. And so when we shall have multiplied the 19 rods from above into the 33, then we have the square measure of quadrilateral az and there remains for us the quadrilateral ezdg out of the whole quadrilateral abgd and the area of quadrilateral eabz was 21 9 staria.

26, f. 26). 16 Fibonacci’s De Practica Geometrie [6] I want to explain the reason for the multiplication in a demonstration. Let there be a long quadrilateral abgd having boundaries ab and gd of 19 rods. Let the long sides ag and bd measure 41 rods. Take from side ag line ae measuring 33 rods; the remaining line eg has 8 rods. Similarly, take from line bd line bz equal to line ae. 4]. Now zd is equal to line eg, namely, to 8 rods. Again, from lines ez and gd take straight lines ei and gt, each of which has 21 16 rods Now join line it and it equals both lines eg and zd.

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