Napier's bones - translation to ρωσικά
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Napier's bones - translation to ρωσικά

MATHEMATICAL INSTRUMENT INVENTED BY JOHN NAPIER
Rabdologia; Napier's rods; Napier's Bones; Napier Bones; Napier bones; Napier rods; Napier’s Bones; Napiers' Bones; Napiers Bones; Napiers stick; Napier's Rods; Rhabdology
  • An unusual 18th-century set of Napier's bones in which the numbers are on rotating cylinders rather than rods of square cross-section
  • A set of Napier's bones
  • First step of solving 6 x 425
  • Second step of solving 6 x 425
  • Third step of solving 6 x 425
  • First step of solving 6785 × 8
  • Second step of solving 6785 × 8
  • Third step of solving 6785 × 8
  • First step of solving 825 × 913
  • Second step of solving 825 × 913
  • Third step of solving 825 × 913

Napier's bones         

['neipiəz'bəunz]

общая лексика

карманный калькулятор Непера

napierian logarithm         
  • A plot of the Napierian logarithm for inputs between 0 and 10<sup>8</sup>.
  • The 19 degree pages from Napier's 1614 table of logarithms of trigonometric functions ''[[Mirifici Logarithmorum Canonis Descriptio]]''
MATHEMATICAL FUNCTION
Napier's logarithm; Naperian logarithm; Naperian system of logarithms

математика

логарифм гиперболический

Naperian logarithm         
  • A plot of the Napierian logarithm for inputs between 0 and 10<sup>8</sup>.
  • The 19 degree pages from Napier's 1614 table of logarithms of trigonometric functions ''[[Mirifici Logarithmorum Canonis Descriptio]]''
MATHEMATICAL FUNCTION
Napier's logarithm; Naperian logarithm; Naperian system of logarithms

общая лексика

натуральный логарифм

Ορισμός

Napier's bones
¦ plural noun Mathematics slips of ivory or other material divided into sections marked with digits, formerly used to facilitate multiplication and division.

Βικιπαίδεια

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.

Μετάφραση του &#39Napier's bones&#39 σε Ρωσικά