Genaille–Lucas rulers (also known as Genaille’s rods) is an arithmetic tool invented by Henri Genaille, a French railway engineer, in The following other wikis use this file: Usage on مساطر جينايل لوكاس. Usage on Genaille–Lucas rulers. Napier’s Bones and the Genaille-Lucas Rulers. Introduction. In , John Napier published Rabdologia, a book that contained a description of the rods that he.

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Summary [ edit ] Description Genaille-Lucas rulers full. The path of digits ends with a number on the genaiple-lucas rod, which is the remainder given by the division.

From Wikimedia Commons, the free media repository. The quotient is read from left to right, following the lines from one rod to the next.

## Genaille–Lucas rulers

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The division rods are aligned similarly to the multiplication rods, with the index rod on the left denoting the divisorand the following rods spelling out the digits of the dividend.

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If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The product, shown in red, is After these, a special “remainder” rod is placed on the right. By representing the carry graphically, the user can read off the results eulers simple multiplication problems directly, with no intermediate mental calculations.

### Applet: Genaille-Lucas Rulers for Division

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By using this site, you agree to the Terms of Use and Privacy Policy. This page was last edited on 17 Novemberat Then we simply read off the digits that we visited. On each strip is printed a column of triangles and a column of numbers:.

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## File:Genaille-Lucas rulers full.pdf

Retrieved from ” https: The device is a variant of Napier’s bones. Views View Edit History.

The popularity of Genaille’s rods was widespread but short-lived, as mechanical calculators soon began to displace manual arithmetic methods. Soon after their development by Genaille, the rulers were adapted to a set of rods that can perform division. Genaille—Lucas rulers also known as Genaillel-ucas rods are an arithmetic tool invented by Henri Genaillea French railway engineer, in Consider multiplying by 4.

I grant anyone the right to use this work for any purposewithout any conditions, unless such conditions are required by law. Genaille, already known for having invented a number of arithmetic tools, created his rulers in the course genaille-lkcas solving the problem.

The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

### Genaille–Lucas rulers – Wikipedia

This page was last edited on 7 Decemberat The following other wikis use this file: Description Genaille-Lucas rulers full. Fixed error in 7th column, from File: Five rulers, one for each digit ofare arranged side-by-side, next to the “index” ruler:.

Fulers some countries this may not be legally possible; if so: A full set of Genaille—Lucas rulers consists of eleven strips of wood or metal.