Definitions for napier's bones
napi·er's bones

Princeton's WordNetRate this definition:0.0 / 0 votes

1. Napier's bones, Napier's rodsnoun

   a set of graduated rods formerly used to do multiplication and division by a method invented by John Napier

WikipediaRate this definition:0.0 / 0 votes

1. Napier's bones

   Napier's bones is a manually-operated calculating device created by John Napier of Merchiston, Scotland for the calculation of products and quotients of numbers. The method was based on lattice multiplication, and also called rabdology, a word invented by Napier. Napier published his version in 1617. It was printed in Edinburgh and 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. Advanced use of the rods can extract square roots. Napier's bones are not the same as logarithms, with which Napier's name is also associated, but are based on dissected multiplication tables. The complete device usually includes a base board with a rim; the user places Napier's rods inside the rim to conduct multiplication or division. The board's left edge is divided into nine squares, holding the numbers 1 to 9. In Napier's original design, the rods are made of metal, wood or ivory and have a square cross-section. Each rod is engraved with a multiplication table on each of the four faces. In some later designs, the rods are flat and have two tables or only one engraved on them, and made of plastic or heavy cardboard. A set of such bones might be enclosed in a carrying case. A rod's face is marked with nine squares. Each square except the top is divided into two halves by a diagonal line from the bottom left corner to the top right. The squares contain a simple multiplication table. The first holds a single digit, which Napier called the 'single'. The others hold the multiples of the single, namely twice the single, three times the single and so on up to the ninth square containing nine times the number in the top square. Single-digit numbers are written in the bottom right triangle leaving the other triangle blank, while double-digit numbers are written with a digit on either side of the diagonal. If the tables are held on single-sided rods, 40 rods are needed in order to multiply 4-digit numbers – since numbers may have repeated digits, four copies of the multiplication table for each of the digits 0 to 9 are needed. If square rods are used, the 40 multiplication tables can be inscribed on 10 rods. Napier gave details of a scheme for arranging the tables so that no rod has two copies of the same table, enabling every possible four-digit number to be represented by 4 of the 10 rods. A set of 20 rods, consisting of two identical copies of Napier's 10 rods, allows calculation with numbers of up to eight digits, and a set of 30 rods can be used for 12-digit numbers.

ChatGPTRate this definition:0.0 / 0 votes

1. napier's bones

   Napier's Bones is a manually-operated calculating device created by John Napier of Merchiston, Scotland for the calculation of multiplication and division. They are a system of numbered rods or strips, sometimes crafted from bone or another material, that can simplify the process of multiplication, division, square roots, and cube roots. These rods or 'bones,' are based on the principles of the multiplication table and Napier’s discovery of logarithms.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Napier's bones

   alt. of Napier's rods

WikidataRate this definition:0.0 / 0 votes

1. Napier's bones

   Napier's bones is an abacus created by John Napier of Merchiston for calculation of products and quotients of numbers. The method was based on Arab mathematics and the lattice multiplication used by Matrakci Nasuh in the Umdet-ul Hisab and Fibonacci's work in his Liber Abaci. The technique was also called Rabdology. Napier published his version in 1617 in Rabdologiæ, 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. The abacus consists of a board with a rim; the user places Napier's rods in the rim to conduct multiplication or division. The board's left edge is divided into 9 squares, holding the numbers 1 to 9. The Napier's rods consist of strips of wood, metal or heavy cardboard. Napier's bones are three dimensional, square in cross section, with four different rods engraved on each one. A set of such bones might be enclosed in a convenient carrying case.

Dictionary of Nautical TermsRate this definition:0.0 / 0 votes

1. napier's bones

   Small rods, arranged by Lord Napier to expedite arithmetical calculations. In Hudibras: "A moon-dial, with Napier's bones, And several constellation stones."

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How to pronounce napier's bones?

1. Alex

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   David

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   Mark

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How to say napier's bones in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of napier's bones in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of napier's bones in Pythagorean Numerology is: 2

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=napier's bones
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Napier'S_Bones
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/napier's bones
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=napier's bones
6. ^ Dictionary of Nautical Terms
   https://www.gutenberg.org/cache/epub/26000/pg26000-images.html#:~:text=napier's bones