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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This page was last edited on 7 Decemberat Five rulers, one for genaaille-lucas digit ofare arranged side-by-side, next to the “index” ruler:. The popularity of Genaille’s rods was widespread but short-lived, as mechanical calculators soon began to displace manual arithmetic methods. Then we simply read off the digits that we visited.

The following 2 pages uses this file: From Wikimedia Commons, the free media repository. A full set of Genaille—Lucas rulers consists of eleven strips of wood or metal.

By representing the carry graphically, the user can read off the results of simple multiplication problems directly, with no intermediate mental calculations. Fixed error in 7th column, from File: 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 device is a variant of Napier’s bones. This page was last edited on 17 Novemberat The following other wikis use this file: Public domain Public domain false false.

The path of digits ends with a number on the remainder rod, which is the remainder given by the division. Genaille, already known for having invented a number of arithmetic tools, created his rulers in the course of solving the problem.

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 genaille-lucws. I grant anyone the right to use this work for any purposewithout any conditions, unless such conditions are required by law.

Napier’s Bones and the Genaille-Lucas Rulers

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. Consider multiplying by 4.

Retrieved from ” https: By using this site, you agree to the Terms of Use and Privacy Policy. From Wikipedia, the free encyclopedia. By using this site, you agree to the Terms of Use and Privacy Policy. Genaille—Lucas rulers also known as Genaille’s rods are an arithmetic tool invented by Henri Genaillea French railway engineer, in Retrieved from genqille-lucas https: Views View Edit History.


The quotient is read from left to right, following the lines from one rod to the next. In some countries this may not be legally possible; if so: Soon after their development by Genaille, the rulers were adapted to a set of rods that can perform division.

The timestamp is only as accurate as the clock in the camera, and it may be completely wrong. Views Read Edit View history. The product, shown in red, is I, the copyright holder of this work, release this work into the public domain.

Applet: Genaille-Lucas Rulers

After these, a special “remainder” rod is placed on the right. On each strip is printed a column of triangles and a column of numbers:. Description Genaille-Lucas rulers full. Summary [ edit ] Description Genaille-Lucas rulers full.