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  • Calculating Machines
  • Stepped Drum Calculating Machines
  • Pinwheel Calculating Machines
  • Direct Multiplication Calculating Machines
  • Other Calculating Machines
  • Difference Engines
  • Maker Index
  • Resources

Calculating Machines

Stepped Drum Calculating Machines

American History Museum

The distinguished mathematician and philosopher Gottfried William Leibniz started thinking about stepped drum calculating machines in the 1670s, and an eighteenth century instrument built on his design survives. However, it was the French insurance executive Charles Xavier Thomas (1785–1870) who invented and sold the first commercially successful calculating machine. Proposed in 1820, it would sell successfully from about 1850.

Thomas’s calculating machine, which he dubbed the arithmometer, had cylindrical brass drums, each with nine teeth that varied in length.  If a setting lever was at “9”, it engaged nine teeth, at 8, eight teeth and so forth. This stepped drum mechanism would be modified over time, with different metals used for the stepped drums, much of the drum cut away, and different arrangement of the teeth on the gears. Nonetheless, the stepped drum survived as part of some calculating machines as long as they were manufactured.


Thomas Arithmometer

Thomas Arithmometer

Thomas Arithmometer

Thomas Arithmometer

Thomas Arithmometer

Payen Arithmometer

Burkhardt Arithmometer

Layton's Arithmometer

Tate's Arithmometer

Burkhardt Arithmometer

Burkhardt Arithmometer

TIM Unitas Calculating Machine

TIM Calculating Machine

TIM Calculating Machine

Bunzel Calculating Machine

Peerless Calculating Machine

Peerless Calculating Machine

Reuter's Calculating Machine

Tim III Calculating Machine

Layton's Improved Arithmometer

Tim III Calculating Machine

Madas Calculating Machine

Madas Calculating Machine

Madas Calculating Machine

Reuter's Calculating Machine

Monroe Calculating Machine (Model D?)

Monroe Model D Calculating Machine

Archimedes Model D-16 Calculating Macnine

Peerless Calculating Machine

Record Model 1 Calculating Machine

Monroe Model E Calculating Machine

Monroe Model F Calculating Machine

Monroe Model G Calculating Machine

Archimedes Model C-16 Calculating Machine

The Controller Calculating Machine


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