MACHINE of GENAILLE LUCAS, 1885 (Replica)
- Inventor
- Henri GENAILLE – Edouard LUCAS
- Invention date
- 1885
- Manufacturing date
- Unkown
- Manufacturing location
- Unknown
- Manufacturer
- Unknown
- Dimensions
- L 45 W 18 H 6
- Reference Number
- 345

History and Functionality
When doing multiplication with Napier rods one must make intermediate additions. The mathematician Edouard LUCAS (1842-1891) developed a theory to simplify the procedure of this instrument. Associated with the engineer Henri GENAILLE, they
developed an instrument in 1885 greatly facilitating multiplication and division.
Each line on the instrument points to the intermediate result for a product or a division.
The exhibited replica allows for multiplication with a 6-digit multiplier. The strips are controlled by rotatable rollers to select the numbers of the multiplicand.
Edouard LUCAS also created the “Hanoï Towers” game.
About The Inventor
Henri Genaille and Édouard Lucas were two French mathematicians whose collaboration led to the development of Genaille-Lucas rulers, a significant advancement in the field of mechanical calculation during the late 19th and early 20th centuries.
Édouard Lucas, already known for his work on the Fibonacci sequence and the Lucas sequence, initially conceptualized a method to simplify complex arithmetic calculations. Building upon Lucas's ideas, Henri Genaille, a talented mathematician and engineer, invented a set of rulers that could effortlessly solve multiplication and division problems without the need for extensive calculations.
The Genaille-Lucas rulers, introduced in 1891, were an ingenious solution that made manual calculations faster and more accessible, particularly for complex and large numbers. These rulers effectively transformed multiplication and division into a simple process of reading numbers off a series of aligned strips. Their invention was widely acclaimed for its simplicity and efficiency in an era before electronic calculators.
The contribution of Genaille and Lucas to the field of computational tools was a remarkable blend of mathematical theory and practical ingenuity, demonstrating the potential of collaborative innovation in advancing technology.
Their work remains a testament to the evolution of calculating devices, bridging the gap between traditional manual calculations and the dawn of the computing age.





