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Napier's bones (Bastoncini di Nepero) 3D Printer File Image 1
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Napier's bones (Bastoncini di Nepero)

gitamani avatargitamani

August 8, 2019

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Description

Napier's bones are a manually-operated calculating device created by John Napier of Merchiston, Scotland for calculation of products and quotients of numbers. The method was based on lattice multiplication, and was also called Rabdology. Napier published his version in 1617 in Rabdology, printed in Edinburgh, Scotland, dedicated to his patron Alexander Seton.
Using the multiplication tables embedded in the rods, multiplication can be reduced to addition operations and division to subtractions. More advanced use of the rods can even extract square roots. Note that Napier's bones are not the same as logarithms, with which Napier's name is also associated. (taken from wikipedia)

Example of multiplication with Napier's bones: 25 x 4328
5 x 4538 = 2 x 10000 + 1 x 1000 + (5 + 1) x 100 + 4 x 10 + 0 =
= 20000 + 1000 + 600 + 50 + 0 = 21640
20 x 4538 = 8 x 10000 + 6 x 1000 + (4 + 1) x 100 + 6 x 10 =
= 80000 + 6000 + 500 + 60 = 86560
25 x 4328 = 21640 + 86560 = 108200

I bastoncini (virgulae) di Nepero (detti anche virgulae numeratrices) sono uno strumento di calcolo la cui invenzione è attribuita a John Napier, che dal 1617 ne diffuse l'utilizzo. Il principio su cui si basano era però già ampiamente diffuso nei paesi mediterranei con il nome di moltiplicazione araba o a gelosia.[1]
Nella loro versione più semplice, i bastoncini sono asticelle, spesso costruite con avorio (da cui il loro nome più diffuso nei paesi di lingua anglosassone: Napier's bones, ossi di Nepero), su ciascuna delle quali sono incisi i primi multipli di un numero, con le decine e le unità divise da una barra obliqua. (tratto da wikipedia)

Esempio di moltiplicazione con i bastoncini di Nepero: 25 x 4328
5 x 4538 = 2 x 10000 + 1 x 1000 + (5 + 1) x 100 + 4 x 10 + 0 =
= 20000 + 1000 + 600 + 50 + 0 = 21640
20 x 4538 = 8 x 10000 + 6 x 1000 + (4 + 1) x 100 + 6 x 10 =
= 80000 + 6000 + 500 + 60 = 86560
25 x 4328 = 21640 + 86560 = 108200

License:

Creative Commons - Attribution - Share Alike

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