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Oliver Byrne: The Matisse of Mathematics - Appendix A: Published Works of Oliver Byrne

Susan M. Hawes (Genealogist) and Sid Kolpas (Delaware County Community College)

A Chronological List of Oliver Byrne's Books, Pamphlets and Select Journal Articles

A Treatise on Diophantine Algebra. Dublin: Allen and Co., 1830.

A Pamphlet on the Teaching of Geometry by Coloured Diagrams, etc. Applied to the First Book of Euclid. London: Printed for the Author. 1831.

A Short Practical Treatise on Spherical Trigonometry, etc. London: A. J. Valpy, 1835.

How to Measure the Earth with the Assistance of Railroads. Newcastle-upon-Tyne: Currie and Bowman, 1838.

New and Improved System of Logarithms … Also, an appendix, containing tables of trigonometric formulae, etc. William Day: London, 1838.

The Navigator's Ready Calculator; designed for the practical Sailor, being a complete and easy introduction to navigation, and containing a newly-invented instrument, by means of which all of the cases in the different sailings are solved. William Day: London, 1838 or 1839.

The Creed of Saint Athanasius proved by a Mathematical Parallel. London: William Day, 1839.

The Practical, Complete and Correct Gager, containing a description of Parker and Byrne’s patent calculating instruments; with their use and applications. London: A.H. Bailey & Co., 1840.

The Doctrine of Proportion clearly developed … or, the Fifth book of Euclid simplified. London: J. Williams, 1841.

"Exemplary Institute for Mathematics, Engineering, Classics and General Literature, Surrey Villa, near Lambeth Palace." Prospectus written with Henry William Hull. London: W. Barnes, c. 1842.

“Unwillingness of Man to Investigate,” American Railroad Journal and Mechanics Magazine, Vol VIII—New Series or Vol. XIV, 91-93. New York: George C. Schaeffer, 1842.

“Description and use of an instrument to find the time by the sun, moon, or any of the visible fixed stars:as well as the names of those stars / invented and constructed for the Right Hon. Earl Fitzwilliam.” Oliver Byrne. Manuscript. Houghton Library, Harvard University. Boston. 1843.

The Fallacies of Our Own Time “Anti-Phrenology” (with John Byrne). London: Sherwood, Gilbert & Piper, 1844.

Description and Use of the Byrnegraph: an instrument for multiplying, dividing, and comparing lines, angles, surfaces, and solids. London: C. & J. Adlard, 1846.

“A New Theory of the Earth, that Fully Accounts for Many Astronomical, Geographical, and Geological Phenomena, Hitherto Unaccounted For,” Civil Engineer and Architect's Journal, 10:99-101 (April 1847) and 10:133-134 (May 1847).

The First Six Books of the Elements of Euclid in Which Coloured Diagrams and Symbols Are Used Instead of Letters for the Greater Ease of Learners. London: William Pickering, 1847.

The Calculus of Form. Never published, 1848.

The Miscellaneous Mathematical Papers of Oliver Byrne, Collected and edited by John Byrne. London: Maynard, 1848.

Practical, Short, and Direct Method of Calculating the Logarithm of any given number corresponding to any given Logarithm. New York: D. Appleton & Co., 1849.

A Dictionary of Machines, Mechanics, Engine Work, and Engineering. New York: D. Appleton & Co., 1851.

Pocketbook for Railroad and Civil Engineers. New York: Shepherd, 1851.

The Practical Metal-Worker’s Assistant: containing the arts of working all metals and alloys with the application of electro-metallurgy to manufacturing processes, etc. A new, revised, and improved edition, with additions by John Scoffern…William Clay, William Fairbairn… and James Napier, etc. Philadelphia: H.C. Baird, 1851 and 1864.

The Pocket Companion for Machinists, Mechanics and Engineers, etc. New York: Dewitt & Davenport, 1851.

The Practical Cotton Spinner, and Manufacturer. Philadelphia: Henry Carey Baird, 1851.

The practical spinner, and manufacturer: the managers’, overlookers’, and mechanics’ companion. A comprehensive system of calculations of mill gearing and machinery … To which are added, compendious tables of yarns. New York: R. Scott, 1851.

Practical Model Calculator, for the engineer, mechanic, machinist, manufacturer of engine-work, naval architect, miner, and millwright. Philadelphia: H.C. Baird & Co, 1852, 1862, 1872.

Freedom to Ireland: The Art and Science of War for the People. The Pike Exercise, Foot Lancers, Light Infantry, and Rifle Drill. To which is Added a Short Practical Treatise on Small Arms, and Ammunition, Street and House Fighting, and Field Fortification. Boston: Patrick Donahoe, 1853.

Lectures on the Art and Science of War: addressed to Irish American citizen soldiers. Boston: Patrick Donahoe, 1853.

Mechanics: their principles and practical applications. New York: De Witt & Davenport, 1853.

The American Engineer, Draftsman, and Machinist’s Assistant. Philadelphia: C.A. Brown & Co., 1853.

The Handbook for the Artisan, Mechanic, and Engineer. Philadelphia: T. K. Collins, Jr., 1853.

The Calculator’s Constant Companion, for practical men, machinists, mechanics and engineers. Philadelphia: J.W. Moore, 1854.

The Evidence of Oliver Byrne in the Patent Case of Ross Winans' Eight-wheeled Car. London: Murphy, 1855.

Pocket-Book for Railroad and Civil Engineers. Containing new, exact, and concise methods for laying out railroad curves, switches, etc. New York: C. Shepard & Co., 1856.

The Mechanics’ Manual: a pocket companion for working carpenters, joiners, etc. New York : J.M. Fairchild & Co., 1856.

Vade Mecum. De L’Ingénieur, de Chemins de Fer Donnant. Paris: Imprimerie et Libraire Centrales des Chemins de Fer. De Napoléon Chaix et Ce, Rue Bergère, 1856.

Byrne's price book, ready reckoner and measurer: for merchants and traders; ship builders and lumber dealers; farmers and drovers; banks and stock companies. New York: Philip J. Cozans, 1857.

The apprentice, or First book for mechanics, machinists, and engineers. New York: Philip J. Cozans, 1860. (Reprinted New York: Philip J. Cozans, 1863, 1864; New York: A. J. Fisher 1874.)

“Calculations Respecting the Pressure of Steam on Cylinder covers and Other Disks,” Civil Engineer and Architect's Journal (December 1860), 24:353-354.

Dual Arithmetic: A New Art. London: Bell & Daldy, 1863.

The Young Geometrician; or, Practical geometry without compasses. London: Chapman & Hall, 1865.

The Young Dual Arithmetician; or, Dual arithmetic . . . Designed for elementary instruction, etc. London: Bell & Daldy, 1866.

Dual Arithmetic A New Art. Part II. The Descending Branch of the Art, and the Science of Dual Arithmetic. London: Bell & Daldy, 1867.

Tables of Dual Logarithms, Dual Numbers, and corresponding Natural Numbers, etc. London: Bell & Daldy, 1867.

The Essential Elements of Practical Mechanics, based on the principle of work; designed for engineering students. London: E. & F. N. Spon, 1867.

General Method of Solving Equations of all degrees; applied particularly to equations of the second, third, fourth, and fifth degrees. London: E. & F. N. Spon, 1868.

Spons’ Dictionary of Engineering, Civil, Mechanical, Military and Naval, with technical terms in French, German, Italian, and Spanish. London: F. N. Spon, London and New York: 1869-74. (Note: Oliver Byrne contributed from 1869 to 1872.)
Volume 1: Available online via Internet Archive:
Volume 6: Available online via Internet Archive:

Byrne’s Treatise on Navigation and Nautical Astronomy. London: Richard Bentley and Son, 1877.

The Geometry of Compasses; or, Problems resolved by the mere description of circles, and the use of coloured diagrams and symbols. London: C. Lockwood & Co., 1877.

Byrne’s Timber and Log Book: Ready Reckoner and Price Book …. New York: The American News Company, 1878

Spon, Edward. Oliver Byrne; Ernest Spon; Francis N. Spon. Supplement to Spons’ dictionary of engineering, civil, mechanical, military, and naval. London and New York: E. & F. N. Spon, 1879-81.


Susan M. Hawes (Genealogist) and Sid Kolpas (Delaware County Community College), "Oliver Byrne: The Matisse of Mathematics - Appendix A: Published Works of Oliver Byrne," Convergence (September 2015)