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 17 Novemberat In some countries this may not be legally possible; if so: By using this site, you agree to the Terms of Use and Privacy Policy.

Soon after their development by Genaille, the rulers were adapted to a set of rods that can perform division.

The following 2 pages uses this file: The device is a variant of Napier’s bones. Fixed error in 7th column, from File: Retrieved from ” https: Views View Edit History. Public domain Public domain false false. This page was last edited on 7 Decemberat A full set of Genaille—Lucas rulers consists of eleven strips of wood or metal. Five rulers, one for each digit ofare arranged side-by-side, next to the “index” ruler:. Genaille, already known for having invented a number of arithmetic tools, created his rulers in the course of solving the rulere.


The quotient is read from left to right, following the lines from one rod to the next. The popularity of Genaille’s rods was widespread but short-lived, as mechanical calculators soon began to displace manual arithmetic methods.

Summary [ edit ] Description Genaille-Lucas rulers full.

Applet: Genaille-Lucas Rulers for Division

I grant anyone the right to use this work for any purposewithout any conditions, genaiille-lucas such conditions are required by law. By representing the carry graphically, the user can read off the results of simple multiplication problems directly, with no intermediate mental calculations.

The product, shown in red, is grnaille-lucas On each strip is printed a column of triangles and a column of numbers:. Then we simply read off the digits that we visited.

Napier’s Bones and the Genaille-Lucas Rulers

Description Genaille-Lucas rulers full. Consider multiplying by 4.

Genaille—Lucas rulers also known as Genaille’s rods are an arithmetic tool invented by Henri Genaillea French railway engineer, in Views Read Edit View history. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.


By using this site, you agree to the Terms of Use and Privacy Policy. The path of digits ends with a number on the remainder rod, which is the remainder given by the division. After these, a special “remainder” rod is placed on the right. From Wikimedia Commons, the free media repository.

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. Retrieved from ” https: The following other wikis use this file: I, the copyright holder of this work, release this work into the public domain.

From Wikipedia, the free encyclopedia. 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. Genaille-lcuas 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.