You are here

Oliver Byrne: The Matisse of Mathematics - References

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

Gale Digital Collections. "19th Century British Library Newspapers."

Adams, Julius Walker (editor). Appleton’s Mechanics' Magazine and Engineers' Journal, Volume 1. New York: D. Appleton & Co., 1852-1853.

“Alumni Dublinenses : a register of the students, graduates, professors and provosts of Trinity College in the University of Dublin (1593-1860),” Manuscripts & Archives Research Library, Trinity College Dublin : accessed 21 August 2015).

Ancestry. 1841, 1871, and 1891 England Census, 1850, [London] Electoral Registers, [London] “Marriages and Banns, 1754-1921” and 1832-1965 and 1860 U.S. population schedules.

Ancestry. “England & Wales, National Probate Calendar (Index of Wills and Administrations), 1858-1966.”

Ancestry. “New York, Naturalization Petitions, 1794-1906.” Court of Common Pleas for the City and County of New York. Oliver Byrne. 27 May 1854.

Antiquarian Horological Society.

Archives of the Royal Literary Fund. Nineteenth Century Collections Online: "British Theater, Music and Literature: High and Popular Culture" Collection. Gale Digital Collections

Arizona. Tucson. The Weekly Arizonan [or Arizonian]. 20 October 1859.

Baldwin, David. Lovett Tokens & Medals website

Barnett, Janet Heine. "Mathematics is a Plural Noun: The Case of Oliver Byrne." Proceedings of the Canadian Society for the History and Philosophy of Mathematics: Thirty-fifth Annual Meeting (Montreal). Volume 23, pp. 26 – 46 (2010).

Barnett, Janet Heine. "The Dual Arithmetic of Oliver Byrne: A New Art which entirely supersedes the use of logarithms." Proceedings of the Canadian Society for the History and Philosophy of Mathematics: Thirty-sixth Annual Meeting (Dublin). Volume 24, pp. 12 – 30 (2011).

Broadbent, T. A. A. "George Boole (1815-1864)." The Mathematical Gazette. London: G. Bell and Sons, December 1964.

British History Online.

British Library.

Bryden, David J., Worcestershire, England to Sue Hawes. “Oliver Byrne.” E-mail, 17 December 2014. Byrne Research Files. Privately held by Sue Hawes, Portland, Maine.

Byrne, Eleanor Rugg, “Safety Concentric Balloon,” Civil Engineer and Architect’s Journal, 25:154-155 (May 1862).

Byrne, Eleanor Rugg, A Short Philosophical Treatise on the Atmosphere, and the Influence of the Changes of the Moon on the Weather; and the Variations of the Weather Represented by Weather Indicators, from the First of July 1869, to the First of January, 1870, to Which is Subjoined Interesting Matter (London: E. & F. N. Spon, 1869).

Byrne, Eleanor Rugg, The Useful Weather Guide, for the First Six Months of the Year 1870 (London: E. & F. N. Spon, 1870).

Byrne, John (editor). Miscellaneous Mathematical Papers of Oliver Byrne. London: Maynard, 1848.

Byrne, Oliver. A Treatise on Diophantine Algebra. Dublin: Allen & Company, 1830.

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

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

Byrne, Oliver, New and Improved System of Logarithms. London: Day & Son, 1838.

Byrne, Oliver. How to Measure the Earth with the Assistance of Railroads. Newcastle, England: Currie & Bowman, 1838. Available on Google Books.

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

Byrne, Oliver. 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.

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

Byrne, Oliver, Applications to Royal Literary Fund, 1839-1881, case number 987, Archives of Royal Literary Fund, London. Nineteenth Century Collections Online: "British Theatre, Music, and Literature: High and Popular Culture" Collection. Gale Digital Collections

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

Byrne, Oliver, “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.

Byrne, Oliver. "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" (manuscript), 1843. Harvard University Houghton Library.

Byrne, Oliver and John Byrne. Fallacies of Our Own Time: Fallacy of Phrenology. London: Sherwood, Gilbert & Piper, 1844.

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

Byrne, Oliver. 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. Also available in facsimile as Oliver Byrne: The Elements of Euclid (Werner Oechslin, editor), Taschen, 2013, and online via the University of British Columbia website: (Bill Casselman, editor).

Byrne, Oliver. “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).

Byrne, Oliver. The Calculus of Form. Never published, 1848.

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

Byrne, Oliver (editor). Dictionary of Machines, Mechanics, Engine-work and Engineering. Philadelphia: D. Appleton & Co., 1850.

Byrne, Oliver. The first fifty lessons on military art and science. New York: D. &. J. Sadlier, 1850.

Byrne, Oliver. 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. Philadelphia: H.C. Baird, 1851.

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

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

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

Byrne, Oliver. 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.

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

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

Byrne, Oliver. 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.

Byrne, Oliver. Lectures On The Art And Science of War Addressed To Irish-American Citizen Soldiers. Boston: Patrick Donahoe, 1853.

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

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

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

Byrne, Oliver. 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, Oliver. 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.

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

Byrne, Oliver. 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.

Byrne, Oliver. The apprentice, or First book for mechanics, machinists, and engineers. New York: Philip J. Cozans, 1860.

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

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

Byrne, Oliver. The Young Geometrician. London: Chapman and Hall, 1865.

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

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

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

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

Byrne, Oliver. 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.

Byrne, Oliver, ed., Spons’ Dictionary of Engineering, containing mechanical, military, and naval applications, with technical terms in French, German, Italian, and Spanish. London: E. & F. N. Spon, 1869.

Byrne, Oliver. Byrne’s Treatise on Navigation & Nautical Astronomy. London: Bentley & Son, 1877.

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

General Register Office. Southport, England.

Cajori, Florian. Attempts Made During the Eighteenth and Nineteenth Centuries to Reform the Teaching of Geometry. The American Mathematical Monthly, 17:10, 181-201, 1910.

Carroll, Lewis. Euclid and his Modern Rivals. New York: Dover Publications, 1973.

Casselman, William A. (Bill), editor. 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 (1847). Images of the copy held by the Thomas L. Fisher Rare Book Library, University of Toronto, available online at the University of British Columbia website:

Casselman, Bill. Pictures and Proofs. AMS Notices, 47:10, 1257-1266, 2000.

Catalog of J. S. Twining's Collection of Gold, Silver and Copper American Coins with a little collection of Bric-a-Brac Washington Pitchers and Japanese Curios to be sold at Auction, 27-29 April 1886, New York City. Marvin & Son: Boston, 1886.

Cohen, Daniel J. Equations from God: Pure Mathematics and Victorian Faith. Baltimore: Johns Hopkins University Press, 2007.

DeMorgan, Augustus. A Budget of Paradoxes. London: Longmans Green & Co, 1872. Available online via Project Gutenberg: Volume I:, Volume II: Second edition: Smith, David Eugene (editor), Chicago and London: The Open Court Publishing Company, 1915. Available online via Internet Archive:

Dodgson, Charles Lutwidge [Lewis Carroll]. Euclid and His Modern Rivals. New York, N.Y.: Dover Publications, 1973; originally published in London: MacMillan & Co., 1879.

England. Birmingham. Aris's Birmingham Gazette. 15 June 1857.

England. Kent. “Register of burials in the burial ground of the parish of Maidstone, Kent, 1858-1881, original records housed at the Canterbury Cathedral Archives, Canterbury, Kent.” FHL microfilm 1,835,479.

England. Kent. Kent Messenger and Maidstone Telegraph. 18 December 1880.

England. Kent, Parish Registers, 1538-1911" index and images. FamilySearch.

England. London. The Examiner. 29 December 1839.

England. London. The Times Digital Archive (1785-2009).

England. Middlesbrough. North-Eastern Gazette. 11 Jan 1896.

England. Newcastle-Upon-Tyne. Northern Liberator and Champion. 26 September 1840.



Fowler, John Kersley. Echoes of Old County Life: Being Recollections of Sports, Politics, and Farming in the Good Old Times. London: E. Arnold, 1892.

Franklin Institute. Journal of the Franklin Institute. Philadelphia: Pergamon Press, 1851.

Gale Digital Collections

Google Books.

Gould, Stephen Jay. The Mismeasure of Man. New York: W.W. Norton, 1981.

Haithi Trust

Heath, Thomas L. The Thirteen Books of Euclid’s Elements, translated from the text of Heiberg with Introduction and Commentary. New York: Dover, 1956. Originally published as Euclid, Thomas L. Heath, and J. L. Heiberg. The Thirteen Books of Euclid's Elements. Cambridge: The University Press, 1908.

Institution of Civil Engineers. Minutes of proceedings of the Institution of Civil Engineers. Great Britain: Institution of Civil Engineers, 1891.

Ireland. Cork. Cork Examiner. 7 May 1849.

Ireland. Dublin. Freeman’s Journal. 22 May 1845.

Kolpas, Sidney J. The Pythagorean Theorem: Eight Classic Proofs. Addison-Wesley Publishing Company / Dale Seymour Publications. Palo Alto, California, 1992. Out of print. Copyright reverted to Sidney J. Kolpas.

Lee, Sidney, editor. Dictionary of National Biography, 1885-1900. Volume 61. London: Smith, Elder & Co., 1900.

Lovett Tokens & Medals.

Lynch, Peter. “That’s Maths: The rebel who brought Technicolour to Euclid.” Irish Times, February 20, 2014.

McLean, Ruari. Letter to Dr. Sid Kolpas. June 29, 1993.

McLean, Ruari. Victorian Book Design and Colour Printing. London: Faber and Faber, 1963.

Mechanic's Magazine, Museum, Register, Journal, and Gazette. London: W.A. Robertson, 1839.

Mellby, Julie L. "Euclid in Color." Princeton University Library, Princeton, New Jersey, 2008.

Nelson, Bruce. Irish Nationalists and the Making of the Irish Race. Princeton: Princeton University Press, 2012.

New Jersey. Trenton. Trenton State Gazette. 22 June 1854.

New York. New York. New York Herald. 26 December 1880.

New York. New York. The Nation. 10 November 1849.

Nineteenth Century Collections Online (NCCO). Gale Digital Collections

Oechslin, Werner (editor). Oliver Byrne: The Elements of Euclid. Taschen, 2013. (Facsimile of Byrne's 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)

O’Hart, John. The Irish and Anglo-Irish landed gentry: when Cromwell came to Ireland, or, a supplement to Irish pedigrees. New York: Barnes & Noble, 1968.

Oxford English Dictionary.

Principal Probate Registry [London, England]. Will and Grant in the Estate of the Late Oliver Byrne, proved at London 28 February, 1881.

Royal United Service Institution. Journal of the Royal United Service Institution. London: W. Mitchell and Son, 1867.

Smith, David Eugene, editor, Augustus De Morgan, Sophia Elizabeth De Morgan, A Budget of Paradoxes, 2nd edition. Chicago and London: The Open Court Publishing Company, 1915. Available online via Internet Archive:

Society of Printers. The Development of Printing as an Art: A Handbook of the Exhibition in Honor of the Bi-Centenary of Franklin's Birth Held at the Boston Public Library under the auspices of the Society of Printers. Society of Printers. Boston, Massachusetts, 1906

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:

Spon, Ernest. Obituary. Minutes of proceedings of the Institution of Civil Engineers. Great Britain: Institution of Civil Engineers, 1891.

"Taylor & Francis Timeline" ( : accessed 28 July 2015).

The Morning Post (London). Thursday, November 26, 1840. 25 November 1844.

The National Archives ( : accessed 18 August 2015). Manuscript index.

Timbs, John. Curiosities of London: Exhibiting the Most Rare and Remarkable Objects of Interest in the Metropolis. London: D. Bogue, 1855.

Schelhaas, T. N. Keeper of the Records of the City of Leiden [Netherlands]. Letter to S. J. Kolpas. 24 November 1992.

Tomash, Erwin. The Erwin Tomash Library Catalogue.

Trinity College Library, Dublin. Letter to Dr. Sid Kolpas regarding Oliver Byrne. September 14, 1992.

Tufte, Edward R. Envisioning Information. Cheshire, Connecticut: Graph Press, 1990.

Urban, Sylvanus (editor). Gentleman’s Magazine. London: Nichols and Son, October 1846.

Walford, Edward. Old and New London: A Narrative of Its History, Its People and Its Places. The Southern Suburbs Vol VI. London: Cassell & Company, 1879.



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