Book contents
- Frontmatter
- PREFACE
- Contents
- Chronological List of Papers with References to the Volumes in which they are contained
- Errata
- PART I PERIODIC ORBITS
- PART II THE TIDES
- PART III MISCELLANEOUS PAPERS IN CHRONOLOGICAL ORDER
- 5 On some Proposed Forms of Slide-rule
- 6 An Application of Peaucellier's Cell
- 7 The Mechanical Description of Equipotential Lines
- 8 On a Mechanical Representation of the Second Elliptic Integral
- 9 On Maps of the World
- 10 A Geometrical Puzzle
- 11 A Geometrical Illustration of the Potential of a Distant Centre of Force
- 12 On Graphical Interpolation and Integration
- 13 On a Theorem in Spherical Harmonic Analysis
- 14 On Fallible Measures of Variable Quantities, and on the Treatment of Meteorological Observations
- 15 On the Horizontal Thrust of a Mass of Sand
- 16 On the Formation of Ripple-mark in Sand
- 17 Note on Mr Davison's Paper on the Straining of the Earth's Crust in Cooling
- 18 On the Mechanical Conditions of a Swarm of Meteorites, and on Theories of Cosmogony
- 19 On the Perturbation of a Comet in the Neighbourhood of a Planet
- 20 The Eulerian Nutation of the Earth's Axis
- 21 The Analogy between Lesage's Theory of Gravitation and the Repulsion of Light
- PART IV PAPERS ON TIDES (Supplementary to Volume I)
- PART V ADDRESSES TO SOCIETIES
- APPENDIX
- INDEX
- Plate section
5 - On some Proposed Forms of Slide-rule
Published online by Cambridge University Press: 07 September 2010
- Frontmatter
- PREFACE
- Contents
- Chronological List of Papers with References to the Volumes in which they are contained
- Errata
- PART I PERIODIC ORBITS
- PART II THE TIDES
- PART III MISCELLANEOUS PAPERS IN CHRONOLOGICAL ORDER
- 5 On some Proposed Forms of Slide-rule
- 6 An Application of Peaucellier's Cell
- 7 The Mechanical Description of Equipotential Lines
- 8 On a Mechanical Representation of the Second Elliptic Integral
- 9 On Maps of the World
- 10 A Geometrical Puzzle
- 11 A Geometrical Illustration of the Potential of a Distant Centre of Force
- 12 On Graphical Interpolation and Integration
- 13 On a Theorem in Spherical Harmonic Analysis
- 14 On Fallible Measures of Variable Quantities, and on the Treatment of Meteorological Observations
- 15 On the Horizontal Thrust of a Mass of Sand
- 16 On the Formation of Ripple-mark in Sand
- 17 Note on Mr Davison's Paper on the Straining of the Earth's Crust in Cooling
- 18 On the Mechanical Conditions of a Swarm of Meteorites, and on Theories of Cosmogony
- 19 On the Perturbation of a Comet in the Neighbourhood of a Planet
- 20 The Eulerian Nutation of the Earth's Axis
- 21 The Analogy between Lesage's Theory of Gravitation and the Repulsion of Light
- PART IV PAPERS ON TIDES (Supplementary to Volume I)
- PART V ADDRESSES TO SOCIETIES
- APPENDIX
- INDEX
- Plate section
Summary
The object of the author was to devise a form of slide-rule which should be small enough for the pocket, and yet be a powerful instrument.
The first proposed form was to have a pair of watch-spring tapes graduated logarithmically, and coiled on spring bobbins side by side. There was to be an arrangement for clipping the tapes together and unwinding them simultaneously. Two modifications of this idea were given.
The second form was the logarithmic graduation of several coils of a helix engraved on a brass cylinder. On the brass cylinder was to fit a glass one, similarly graduated.
To avoid the parallax due to the elevation of the glass above the other scale, the author proposed that the glass cylinder might be replaced by a metal corkscrew sliding in a deep worm, by which means the two scales might be brought flush with one another.
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- Information
- The Scientific Papers of Sir George DarwinPeriodic Orbits and Miscellaneous Papers, pp. 267Publisher: Cambridge University PressPrint publication year: 2009First published in: 1911