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angle arithmetical Astronomer axis axle Briggs calculating machine carriage carrying centre coefficients compass Comptometer computed construction corresponding crank cube curve cylinder D.Sc described diagram dial digits disc displacement division divisor engine equation exhibited figures fixed function gear given gives gnomon graphical harmonic Hence icosahedron inches instrument integral curve integraph integrating wheel intervals invented isopleths John Napier Lent lever logarithm paper logarithmic scale London Mathematician matics means measured mechanism Merchiston method motion moves multiplier Napier's Bones nomogram obtained operation ordinates parallel Paris plane planimeter Portraits position Professor of Mathe Professor of Mathematics quotient rack represented result roku roller rotation Royal Observatory scale seven places sexagesimal shown simple harmonic motion sines slide rule slot Soroban square stepped reckoner straight line subtraction surface tables tangent tion toothed tracing point turn University of Edinburgh values variable vertical zeroised