
Book contents
- Frontmatter
- PREFACE
- Contents
- 1 Statement of the circumstances attending the invention and construction of Mr. Babbage's Calculating Engines. From the “Philosophical Magazine,” September, 1843, p. 235
- 2 Article xxix., from Scientific Memoirs, vol. iii., p. 666
- 3 Babbage's Calculating Engine. From the “Edinburgh Review,” July, 1834, No. cxx.
- 4 Excerpt from “Passages from the Life of a Philosopher”:—
- 5 Note on the Application of Machinery to the Computation of Astronomical and Mathematical Tables
- 6 A letter to Sir Humphry Davy, Bart., President of the Royal Society, from Charles Babbage, Esq., M.A., F.R.S., on the Application of Machinery to the Calculating and Printing Mathematical Tables
- 7 On the Theoretical Principles of the Machinery for Calculating Tables
- 8 Observations on the Application of Machinery to the Computation of Mathematical Tables
- 9 Address of Henry Thomas Colebrooke, Esq., F.R.S., President of the Astronomical Society of London, on presenting the Gold Medal to Charles Babbage, Esq., F.R.S.
- 10 On Mr. Babbage's new machine, for Calculating and Printing Mathematical Tables
- 11 Minutes of the Council of the Royal Society, relating to the Report of the Committee on Mr. Babbage's Calculating Machine
- 12 Report of the Committee appointed by the Council of the Royal Society to consider the subject referred to in Mr. Stewart's Letter relative to Mr. Babbage's Calculating Engine, and to Report thereon
- 13 On a method of Expressing by Signs, the Action of Machinery
- 14 Laws of Mechanical Notation
- 15 Mechanical Notation, exemplified on the Swedish Calculating Machine
- 16 Scheutz's Difference Engine, and Babbage's Mechanical Notation
- 17 Sur la Machine Suédoise, de Messrs. Scheutz, pour calculer les Tables Mathématiques, par M. Charles Babbage. Extrait des Comptes-rendus des Séances de l'Academie des Sciences
- 18 Observations addressed at the last Anniversary to the President and Fellows of the Royal Society, after the delivery of the Medals
- 19 Letter of General Menabrea, to the Editor of Cosmos
- 20 Report of a Committee appointed by the Council of the Royal Society to examine the Calculating-Engine of M. Scheutz
- 21 Institution of Civil Engineers. Messrs. Scheutz's Calculating Machine was exhibited in the Library
- 22 Institution of Civil Engineers. A volume of Logarithms calculated and stereo-moulded
- 23 Analytical-Engine.—Catalogue of 386 Notations
- 24 Classed Catalogue of the Notations of the Analytical-Engine
- 25 Catalogue of the Drawings of the Analytical-Engine
- 26 List of other Drawings of the Analytical-Engine
- 27 List of Scribbling Books
- 28 Part of Chapter XIX. Economy of Machinery and Manufactures
- 29 Excerpt from the Ninth Bridgewater Treatise
- 30 Excerpt from the Exposition of 1851
- 31 Proceedings of the British Association, 1878
- 32 Proceedings of the British Association, 1888
- 33 Conclusion
- LIST OF MR. BABBAGE'S PRINTED PAPERS
- Plate section
4 - Excerpt from “Passages from the Life of a Philosopher”:—
Published online by Cambridge University Press: 07 September 2010
- Frontmatter
- PREFACE
- Contents
- 1 Statement of the circumstances attending the invention and construction of Mr. Babbage's Calculating Engines. From the “Philosophical Magazine,” September, 1843, p. 235
- 2 Article xxix., from Scientific Memoirs, vol. iii., p. 666
- 3 Babbage's Calculating Engine. From the “Edinburgh Review,” July, 1834, No. cxx.
- 4 Excerpt from “Passages from the Life of a Philosopher”:—
- 5 Note on the Application of Machinery to the Computation of Astronomical and Mathematical Tables
- 6 A letter to Sir Humphry Davy, Bart., President of the Royal Society, from Charles Babbage, Esq., M.A., F.R.S., on the Application of Machinery to the Calculating and Printing Mathematical Tables
- 7 On the Theoretical Principles of the Machinery for Calculating Tables
- 8 Observations on the Application of Machinery to the Computation of Mathematical Tables
- 9 Address of Henry Thomas Colebrooke, Esq., F.R.S., President of the Astronomical Society of London, on presenting the Gold Medal to Charles Babbage, Esq., F.R.S.
- 10 On Mr. Babbage's new machine, for Calculating and Printing Mathematical Tables
- 11 Minutes of the Council of the Royal Society, relating to the Report of the Committee on Mr. Babbage's Calculating Machine
- 12 Report of the Committee appointed by the Council of the Royal Society to consider the subject referred to in Mr. Stewart's Letter relative to Mr. Babbage's Calculating Engine, and to Report thereon
- 13 On a method of Expressing by Signs, the Action of Machinery
- 14 Laws of Mechanical Notation
- 15 Mechanical Notation, exemplified on the Swedish Calculating Machine
- 16 Scheutz's Difference Engine, and Babbage's Mechanical Notation
- 17 Sur la Machine Suédoise, de Messrs. Scheutz, pour calculer les Tables Mathématiques, par M. Charles Babbage. Extrait des Comptes-rendus des Séances de l'Academie des Sciences
- 18 Observations addressed at the last Anniversary to the President and Fellows of the Royal Society, after the delivery of the Medals
- 19 Letter of General Menabrea, to the Editor of Cosmos
- 20 Report of a Committee appointed by the Council of the Royal Society to examine the Calculating-Engine of M. Scheutz
- 21 Institution of Civil Engineers. Messrs. Scheutz's Calculating Machine was exhibited in the Library
- 22 Institution of Civil Engineers. A volume of Logarithms calculated and stereo-moulded
- 23 Analytical-Engine.—Catalogue of 386 Notations
- 24 Classed Catalogue of the Notations of the Analytical-Engine
- 25 Catalogue of the Drawings of the Analytical-Engine
- 26 List of other Drawings of the Analytical-Engine
- 27 List of Scribbling Books
- 28 Part of Chapter XIX. Economy of Machinery and Manufactures
- 29 Excerpt from the Ninth Bridgewater Treatise
- 30 Excerpt from the Exposition of 1851
- 31 Proceedings of the British Association, 1878
- 32 Proceedings of the British Association, 1888
- 33 Conclusion
- LIST OF MR. BABBAGE'S PRINTED PAPERS
- Plate section
Summary
CHAPTER V
DIFFERENCE ENGINE NO. I
“Oh no! we never mention it,
Its name is never heard.”
Calculating Machines comprise various pieces of mechanism for assisting the human mind in executing the operations of arithmetic. Some few of these perform the whole operation without any mental attention when once the given numbers have been put into the machine.
Others require a moderate portion of mental attention: these latter are generally of much simpler construction than the former, and it may also be added, are less useful.
The simplest way of deciding to which of these two classes any calculating machine belongs is to ask its maker—Whether, when the numbers on which it is to operate are placed in the instrument, it is capable of arriving at its result by the mere motion of a spring, a descending weight, or any other constant force? If the answer be in the affirmative, the machine is really automatic; if otherwise, it is not self-acting.
Of the various machines I have had occasion to examine, many of those for Addition and Subtraction have been found to be automatic. Of machines for Multiplication and Division, which have fully come under my examination, I cannot at present recall one to my memory as absolutely fulfilling this condition.
The earliest idea that I can trace in my own mind of calculating arithmetical Tables by machinery arose in this manner:—
One evening I was sitting in the rooms of the Analytical Society, at Cambridge, my head leaning forward on the Table in a kind of dreamy mood, with a Table of logarithms lying open before me.
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- Information
- Babbage's Calculating EnginesBeing a Collection of Papers Relating to them; their History and Construction, pp. 83 - 210Publisher: Cambridge University PressPrint publication year: 2010First published in: 1889
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