From Napier to Lucas: The Use of Napier´s Bones in Calculating Instruments

The paper surveys the development of different types of calculating machines that have used the idea of John Napier\´s "bones. " After showing how to use the bones, the paper discusses the machines of such mathematicians as Wilhelm Schickard, Samuel Morland, Gaspard Schott, Athanasius Kircher, Edouard Lucas, and Henri Genaille. A newly discovered manuscript by Rene Grillet (from the late seventeenth century) provided the base for a study of Grillet\´s work and a remarkable arithmetic instrument he invented in 1678, using the idea of Napier\´s bones.