## Reprint of "A Description of a Machine for Finding the Numerical Roots of Equations and Tracing a Variety of Useful Curves.": Communicated to the British Association, 1845. With an Appendix Containing Extracts from Papers Relating to the Invention of the Tide Predicter, Volume 1 |

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2n loops accuracy accurate April 16 April 9 Association Tidal Committee Athenaum Athenceum Atheneeum for April August 31 Bashforth British Association machine British Association Tide calculate the number Cambridge centred on cranks Civil Engineers coefficients complete two-component constructed corresponding cos(n-l cos2a cosines of multiples curve representing designed dicter EDWARD ROBERTS elementary tide Eoyal Eussell exhibited expanding cos"0 FINDING THE NUMERICAL India Office Institution of Civil instrument invention kinds of light loops appearing Lunar Theory Messrs method of pulleys Nautical Almanack Office number of teeth NUMERICAL ROOTS oscillate period-ratios Polarised Light port preparation of Tide pulleys centred radius vector represent the intensities represents the curve revolved ROOTS OF EQUATIONS Royal Society simple harmonic motions Sir William Thomson slide South Kensington Museum superintend suppose the studs Tidal Harmonic Analyser Tide Gauge Tide Predicter Tide Tables Tide-Calculating Machine tide-components tide-predicting machine toothed wheels trace curves trace the curve TRACING A VARIETY vernier