Skip to main content
Open Book Publishers

Augustus De Morgan, Polymath: New Perspectives on his Life and Legacy

Metadata
TitleAugustus De Morgan, Polymath
SubtitleNew Perspectives on his Life and Legacy
ContributorKaren Attar(author)
Adrian Rice(author)
Christopher Stray(author)
DOIhttps://doi.org/10.11647/OBP.0408
Landing pagehttps://www.openbookpublishers.com/books/10.11647/OBP.0408
Licensehttps://creativecommons.org/licenses/by-nc/4.0/
CopyrightKaren Attar; Adrian Rice; Christopher Stray. Copyright of individual chapters are maintained by the chapter author(s).
PublisherOpen Book Publishers
Publication placeCambridge, UK
Published on2024-09-04
ISBN978-1-80511-326-3 (Paperback)
978-1-80511-327-0 (Hardback)
978-1-80511-328-7 (PDF)
978-1-80511-330-0 (HTML)
978-1-80511-329-4 (EPUB)
Short abstractWhen Augustus De Morgan died in 1871, he was described as ‘one of the profoundest mathematicians in the United Kingdom’ and even as ‘the greatest of our mathematicians’. But he was far more than just a mathematician. Because much of his voluminous written output on various subjects was scattered throughout journals and encyclopaedias, the breadth of his interests and contributions has been underappreciated by historians. Now, renewed interest in De Morgan’s life and work has coincided with the digitization of his extensive library, revealing the extent to which he pioneered and influenced the development of not merely mathematics but also logic, astronomy, the history of mathematics, education, and bibliography.
Long abstractWhen Augustus De Morgan died in 1871, he was described as ‘one of the profoundest mathematicians in the United Kingdom’ and even as ‘the greatest of our mathematicians’. But he was far more than just a mathematician. Because much of his voluminous written output on various subjects was scattered throughout journals and encyclopaedias, the breadth of his interests and contributions has been underappreciated by historians. Now, renewed interest in De Morgan’s life and work has coincided with the digitization of his extensive library, revealing the extent to which he pioneered and influenced the development of not merely mathematics but also logic, astronomy, the history of mathematics, education, and bibliography. This edited collection celebrates De Morgan as a polymath. Drawing together multiple elements of his activity from a range of publications and archives, its contributors re-assess his academic work, his place in his intellectual environment, and his legacy. The result offers new insight into De Morgan himself as well as the wider circles in which he moved, including his family life.
Print length384 pages (xxxvi+348)
LanguageEnglish (Original)
Dimensions156 x 27 x 234 mm | 6.14" x 1.06" x 9.21" (Paperback)
156 x 31 x 234 mm | 6.14" x 1.22" x 9.21" (Hardback)
Weight732g | 25.82oz (Paperback)
912g | 32.17oz (Hardback)
Media17 illustrations
4 tables
OCLC Number1454830292
LCCN2023513476
THEMA
  • PBX
  • DNBT
  • JNB
BISAC
  • MAT015000
  • HIS015060
  • BIO019000
  • BIO015000
LCC
  • QA29.D43
Keywords
  • Augustus De Morgan
  • Biography
  • Victorian England
  • History of Mathematics
  • Mathematics Education
  • Logic
Contents

Introduction: De Morgan: Polymath

(pp. xi–xxxvi)
  • Christopher Stray
  • Karen Attar
  • Adrian Rice

1. De Morgan and Mathematics

(pp. 2–28)
  • Adrian Rice

2. De Morgan and Logic

(pp. 30–54)
  • Anna-Sophie Heinemann

3. Augustus De Morgan, Astronomy and Almanacs

(pp. 56–80)
  • Daniel Belteki

4. De Morgan, Periodicals and Encyclopaedias

(pp. 82–105)
  • Olivier Bruneau

5. Augustus De Morgan: Meta-Scientific Rebel

(pp. 106–150)
  • Lukas Verburgt

6. De Morgan and Mathematics Education

(pp. 152–173)
  • Christopher Stray

7. De Morgan’s A Budget of Paradoxes

(pp. 174–194)
  • Adrian Rice

8. Augustus De Morgan and the Bloomsbury Milieu

(pp. 196–218)
  • Rosemary Ashton

9. De Morgan’s Family: Sophia and the Children

(pp. 220–246)
  • Joan L. Richards

10. Augustus De Morgan’s Library Revisited: Its Context and Its Afterlife

(pp. 248–276)
  • Karen Attar

11. Augustus De Morgan: The Archival Record

(pp. 278–304)
  • Jane Maxwell
  • Karen Attar
  • Alexander Lock
  • Katy Makin
  • Virginia Mills
  • Diana Smith

12. Bibliography of the Works of Augustus De Morgan

(pp. 305–330)
  • William Hale
Locations
PaperbackLanding pageFull text URLPublisher Website
HardbackLanding pageFull text URLPublisher Website
PDFLanding pageFull text URLPublisher Website
Landing pageFull text URLOAPEN
Landing pageDOAB
Landing pageEBSCO HOST
Landing pageFull text URL
Landing pageFull text URL
Landing pageFull text URLINTERNET ARCHIVE
HTMLLanding pageFull text URLPublisher Website
EPUBLanding pageFull text URLPublisher Website
Contributors

Karen Attar

(author)
Curator of Rare Books and University Art at Senate House Library at University of London
https://orcid.org/0000-0002-0898-808X

Karen Attar is the Curator of Rare Books and University Art at Senate House Library, University of London, and was for many years a Research Fellow at the University’s Institute of English Studies. Her publications cover various aspects of book collecting, library history and librarianship. They include several book chapters on Augustus De Morgan’s library, which she also reconstituted within the University of London and catalogued. She is best known for the Directory of Rare Book and Special Collections in the United Kingdom and Republic of Ireland (3rd edn, 2016).

Adrian Rice

(author)
Dorothy and Muscoe Garnett Professor of Mathematics at Randolph–Macon College
https://orcid.org/0000-0001-8731-312X

Adrian Rice is the Dorothy and Muscoe Garnett Professor of Mathematics at Randolph-Macon College, Virginia, USA. He has held visiting positions at the University of Virginia (1998-99) and the University of Oxford (2014-15). His research focuses on the history of mathematics in the nineteenth and early twentieth centuries, with particular emphasis on the work of Augustus De Morgan. Previous books include Mathematics in Victorian Britain, co-edited with Raymond Flood and Robin Wilson (Oxford University Press, 2011) and Ada Lovelace: The Making of a Computer Scientist, co-authored with Christopher Hollings and Ursula Martin (Bodleian Library, 2018).

Christopher Stray

(author)
Honorary Research Fellow in the Department of History, Heritage and Classics at Swansea University
https://orcid.org/0009-0002-4270-8018

Christopher Stray is an Honorary Research Fellow in the Department of History, Heritage and Classics at Swansea University. He has been a member of the Institute for Advanced Study, Princeton (2012), Beinecke Library, Yale University (2005), and a visiting fellow of Wolfson College, Cambridge (1996-98). His principal research interests are the history of classical scholarship and teaching, particularly at the university level; his essay collection Classics in Britain, 1800-2000 was published by Clarendon Press in 2018. He has recently contributed to collaborative projects on William Whewell, Robert Leslie Ellis and Charles Babbage, and his edition of J.M.F. Wright’s 1827 undergraduate memoir Alma Mater; or, Seven Years at the University of Cambridge appeared with University of Exeter Press in 2023.

References
  1. The Elements of Arithmetic (London: John Taylor, 1830).
  2. Bourdon, L.P.M., The Elements of Algebra, trans. from the three first chapters [of Élémens d’algèbre] … by A. De Morgan (London: John Taylor, 1828).
  3. ‘Life Assurance’, Comp. Alm. (1831), 86–105.
  4. ––––, 2nd edn, considerably enl. (London: John Taylor, 1832).
  5. ––––, 3rd edn (London: John Taylor, 1835).
  6. ––––, 4th edn (London: Taylor & Walton, 1840).
  7. ––––, 5th edn, enl. (London: Taylor & Walton, 1846).
  8. ––––, 6th edn (London: Edward Stanford, 1876).
  9. Remarks on Elementary Education in Science: An Introductory Lecture, Delivered at the Opening of the Classes of Mathematics, Physics, and Chemistry in the University of London, November 2, 1830 (London: Thomas Davidson for John Taylor, 1830).
  10. On the Study and Difficulties of Mathematics (Library of Useful Knowledge. Mathematics) (London: Baldwin & Cradock, 1831).
  11. Examples of the Processes of Arithmetic and Algebra (Library of Useful Knowledge. Mathematics) (London: Baldwin & Cradock, [1831?]).
  12. Elementary Illustrations of the Differential and Integral Calculus (Library of Useful Knowledge. Mathematics) (London: Baldwin & Cradock, 1832).
  13. The Elements of Spherical Trigonometry (Library of Useful Knowledge. Mathematics) (London: Baldwin & Cradock, 1834).
  14. The Elements of Algebra Preliminary to the Differential Calculus, and Fit for the Higher Classes of Schools in which the Principles of Arithmetic are Taught (London: John Taylor, 1835).
  15. ––––, 2nd edn (London: Taylor & Walton, 1837).
  16. The Connexion of Number and Magnitude: An Attempt to Explain the Fifth Book of Euclid (London: Taylor & Walton, 1836).
  17. An Explanation of the Gnomonic Projection of the Sphere: And of Such Points of Astronomy As Are Most Necessary in the Use of Astronomical Maps (London: Baldwin & Cradock, 1836). ‘Published under the superintendence of the Society for the Diffusion of Useful Knowledge.’
  18. The Elements of Trigonometry and Trigonometrical Analysis Preliminary to the Differential Calculus (London: Taylor & Walton, 1837).
  19. Thoughts Suggested by the Establishment of the University of London: An Introductory Lecture Delivered at the Opening of the Faculty of Arts in University College, Oct. 16, 1837 (London: Taylor & Walton, 1837).
  20. An Essay on Probabilities and on their Application to Life Contingencies and Insurance Offices (The Cabinet Cyclopaedia. Natural Philosophy) (London: Longman, Orme, Brown, Green & Longmans, and John Taylor, 1838).
  21. ––––, New edn (London: Longman, Orme, Brown, Green & Longmans, and John Taylor, 1841).
  22. ––––, New edn (London, 1849).
  23. Remarks on an Accusation Made by the Proprietors of the Encyclopaedia Metropolitana, Against the Author of An Essay on Probabilities… (London: for the author, and sold by Taylor & Walton, 1838).
  24. First Notions of Logic Preparatory to the Study of Geometry (London: Taylor & Walton, 1839).
  25. ––––, 2nd edn (London: Taylor & Walton, 1840).
  26. The Differential and Integral Calculus (Library of Useful Knowledge) (London: Baldwin & Cradock, 1842). Published in 25 instalments between 1836 and 1842.
  27. The Globes Celestial and Terrestrial (London: Malby, 1845). ‘… intended to accompany Malby’s Globes, published under the superintendence of the Society for the Diffusion of Useful Knowledge’.
  28. ––––, 2nd edn (London: William S. Orr, 1847).
  29. ––––, 3rd edn (London: William S. Orr, 1854).
  30. Arithmetical Books from the Invention of Printing to the Present Time (London: Taylor & Walton, 1847).
  31. Formal Logic, or The Calculus of Inference Necessary and Probable (London: Taylor & Walton, 1847).
  32. Statement in Answer to an Assertion Made by Sir William Hamilton, Bart., Professor of Logic in the University of Edinburgh (London: Richard and John E. Taylor for the author, 1847).
  33. Trigonometry and Double Algebra (London: Taylor, Walton, & Maberly, 1849).
  34. The Book of Almanacs: With an Index of Reference, By Which the Almanac may be Found for Every Year … (London: Taylor, Walton, & Maberly, 1851).
  35. ––––, 2nd edn (London: James Walton, 1871).
  36. Observations in Favour of a Decimal Coinage ([London: M.S. Rickerby for the Decimal Association, 1854]). A reprint of the Introduction to Decimal Association, Proceedings (1854); see below.
  37. Summary of the Decimal Coinage Question (London: M.S. Rickerby [for the Decimal Association], 1855). Another reprint of the Introduction to Decimal Association, Proceedings (1854); see below.
  38. Reply to the Facetiae of the Member for Kidderminster in the Debate on Mr. Brown’s Resolutions, June 12, 1855 (London: M.S. Rickerby [for the Decimal Association, 1855]). Also printed in Debate on the Decimal Coinage Question (1855); see below.
  39. Answers to the Questions Communicated by Lord Overstone to the Decimal Coinage Commissioners. No. 1 (London: M.S. Rickerby [for the Decimal Association], Nov. 1857).
  40. Syllabus of a Proposed System of Logic (London: Walton & Maberly, 1860).
  41. A Budget of Paradoxes, ed. by S.E. De Morgan (London: Longmans, Green, 1872). See below for the original articles from The Athenæum.
  42. De Morgan, S.E., Memoir of Augustus De Morgan: With Selections From his Letters (London: Longmans, Green, 1882).
  43. Newton, His Friend, and His Niece, ed. by S.E. De Morgan and A.C. Ranyard (London: Elliot Stock, 1885).
  44. De Morgan, S.E., Threescore Years and Ten: Reminiscences… To Which are Added Letters To and From… A. De Morgan, ed. by Mary A. De Morgan (London: Richard Bentley & Son, 1895).
  45. Approximately 700 articles in The Penny Cyclopaedia (London: Charles Knight, 1833–1843). Listed in S.E. De Morgan’s Memoir (1882), pp. 407–14.
  46. ‘Bradley’, ‘Delambre’, ‘Descartes’, ‘Dollond’, ‘Euler’, ‘Halley’, ‘Harrison’, ‘W. Herschel’, ‘Lagrange’, ‘Laplace’, ‘Leibniz’, ‘Maskelyne’, in The Gallery of Portraits: with Memoirs (London: Charles Knight, 1833–37).
  47. ‘Calculus of Functions’, in Encyclopaedia Metropolitana, vol. 2 (London: Baldwin & Cradock [&c.], 1836), pp. 305–92. Also issued separately as A Treatise on the Calculus of Functions.
  48. ‘Theory of Probabilities’, in Encyclopaedia Metropolitana, vol. 2 (London: Baldwin & Cradock [&c.], 1837), pp. 393–490. Also issued separately as A Treatise on the Theory of Probabilities.
  49. Rigaud, S.P. and S.J. Rigaud, eds, Correspondence of Scientific Men of the Seventeenth Century, Contents and Index by A. De Morgan (Oxford: University Press, 1842).
  50. ‘Newton’, in Cabinet Portrait Gallery of British Worthies, vol. XI (London: Charles Knight, 1846), 78–117.
  51. ‘Mr Babbage’s Calculating Machine’, in Weld, Charles Richard, The Eleventh Chapter of the History of the Royal Society (London: Richard Clay [for Charles Babbage], 1848). Reprint of De Morgan’s review in The Athenæum, 14 Oct. 1848, with notes by Babbage. A subsequent printing included De Morgan’s response, also from The Athenæum, 16 Dec. 1848. Republished in Babbage’s The Exposition of 1851 (London: John Murray, 1851).
  52. ‘Diophantus’, ‘Eucleides’, ‘Heron’, ‘Hipparchus’, ‘Sosigenes’, ‘Theon’, ‘Ptolomaeus’, in Smith, William, ed., A New Classical Dictionary of Biography, Mythology, and Geography (London: John Murray; Taylor, Walton, & Maberly, 1850).
  53. Decimal Association, Proceedings, with introd. by A. De Morgan (London: M.S. Rickerby [for the Association], 1854). Reprinted 1855. Introduction issued as Summary of the Decimal Coinage Question (1855); see above.
  54. Debate on the Decimal Coinage Question in the House of Commons, June 12th, 1855. With Remarks [by A. De Morgan] on the Speech of the Hon. Member for Kidderminster (London: M.S. Rickerby [for the Decimal Association], 1855). Remarks also issued separately as Reply to the Facetiae (1855); see above.
  55. Baily, Francis, Journal of a Tour in Unsettled Parts of North America in 1796 & 1797, ed. with preface, by A. De Morgan (London: Baily Brothers, 1856).
  56. Ramchundra, A Treatise on the Problems of Maxima and Minima, Solved by Algebra, ed. with introd. by A. De Morgan (London: Wm. H. Allen, 1859).
  57. ‘Logic’, in Knight, Charles, ed., English Cyclopaedia, vol. 5 (London: Bradbury and Evans, 1861), cols. 340–54.
  58. ‘Tables’, in Knight, Charles, ed., English Cyclopaedia, vol. 7 (London: Bradbury and Evans, 1861), cols. 976–1016.
  59. C. D. [i.e. S.E. De Morgan], From Matter to Spirit: The Result of Ten Years Experience in Spirit Manifestations, pref. by A.B. [i.e. A. De Morgan] (London: Longman, Green, Longman, Roberts & Green, 1863).
  60. ‘Note on the Construction of the Table’, in Oakes, W.H., Table of the Reciprocals of Numbers from 1 to 100,000 (London: Charles & Edwin Layton, [1865]).
  61. Schrön, Ludwig, Seven-Figure Logarithms of Numbers From 1 to 108000 and of Sines, Cosines, Tangents, Cotangents to Every 10 Seconds of the Quadrant, 5th edn, corr. and stereotyped, with a description of the tables added by A. De Morgan (London: Williams and Norgate, 1865).
  62. ‘Polytechnic School of Paris’, QJE, 1 (1831), 57–74.
  63. ‘Notice of Some Tables of Different Species for Facilitating Calculation [review]’, QJE, 1 (1831), 129–37.
  64. ‘Pinnock’s Catechisms [review]’, QJE, 1 (1831), 179–83.
  65. ‘Walker’s Theory of Mechanics [review]’, QJE, 1 (1831), 193–296.
  66. ‘On Mathematical Instruction’, QJE, 1 (1831), 264–79.
  67. ‘Bayley’s Elements of Algebra [review]’, QJE, 2 (1831), 155–58.
  68. ‘Darley’s System of Popular Geometry [review]’, QJE, 2 (1831), 336–44.
  69. ‘Eclipses’, Comp. Alm. (1832), 5–13.
  70. ‘A Plan for Conducting the Royal Naval School [review]’, QJE, 3 (1832), 42–49.
  71. ‘Study of Natural Philosophy’, QJE, 3 (1832), 60–73.
  72. ‘A Preparation for Euclid [review]’, QJE, 3 (1832), 129–32.
  73. ‘Barlow’s Mathematical Tables [review]’, QJE, 3 (1832), 158–60.
  74. ‘On Some Methods Employed for the Instruction of the Deaf and Dumb’, QJE, 3 (1832), 203–19.
  75. ‘Wood’s Algebra [review]’, QJE, 3 (1832), 276–85.
  76. ‘Quetelet on Probabilities [review]’, QJE, 4 (1832), 101–09.
  77. ‘Young’s Elements of Mechanics [review]’, QJE, 4 (1832), 116–24.
  78. ‘State of the Mathematical and Physical Sciences in the University of Oxford’, QJE, 4 (1832), 191–208.
  79. ‘Von Türk’s Phenomena of Nature [review]’, QJE, 4 (1832), 332–36.
  80. ‘On Comets’, Comp. Alm. (1833), 5–15.
  81. ‘Demonstration of the Preceding Method’ annexed to Zach, F.X. von ‘A New Method of Reducing the Apparent Distance of the Moon’, Memoirs of the Royal Astronomical Society, 5 (1833), 245–52.
  82. ‘On Teaching Arithmetic’, QJE, 5 (1833), 1–16.
  83. ‘Cunningham’s Arithmetic [review]’, QJE, 5 (1833), 129–30.
  84. ‘On the Method of Teaching Fractional Arithmetic’, QJE, 5 (1833), 210–22.
  85. ‘On the Method of Teaching the Elements of Geometry, pt. 1’, QJE, 6 (1833), 35–49.
  86. ‘––––, pt. 2’, QJE, 6 (1833), 237–51.
  87. ‘The School and Family Manual [review]’, QJE, 6 (1833), 108–12.
  88. ‘Busby’s Catechism of Music [review]’, QJE, 6 (1833), 318–26.
  89. ‘On the General Equation of Curves of the Second Degree’, TCPS, 4 (1833), 71–78 (read 15 Nov. 1830).
  90. ‘On the Moon’s Orbit’, Comp. Alm. (1834), 5–23.
  91. ‘Geometry Without Axioms [review]’, QJE, 7 (1834), 105–15.
  92. ‘Ritchie’s Principles of Geometry [review]’, QJE, 7 (1834), 118–25.
  93. ‘Elementary Works by M. Quetelet [review]’, QJE, 7 (1834), 347–50.
  94. ‘On the Notation of the Differential Calculus, Adopted in Some Works Lately Published at Cambridge’, QJE, 8 (1834), 100–10.
  95. ‘Airy’s Gravitation [review]’, QJE, 8 (1834), 316–25.
  96. ‘Reports of the British Association. Vols. I. and II. London: 1833 and 1834 [review; sometimes cited as “English Science”]’, The British and Foreign Review (1835), 1, 134–57.
  97. ‘Halley’s Comet’, Comp. Alm. (1835), 5–15.
  98. ‘On Taylor’s theorem’, Lond. Edin. Phil. Mag., 3rd ser., 7 (1835), 188–92.
  99. ‘Peacock’s Treatise on Algebra [review], QJE, 9 (1835), 91–110, 293–311.
  100. ‘Thompson’s Progress of Physical Science [review]’, QJE, 10 (1835), 122–34.
  101. ‘Ecole polytechnique’, QJE, 10 (1835), 330–40.
  102. ‘On the General Equation of Surfaces of the Second Degree’, TCPS, 5 (1835), 77–94 (read 12 Nov. 1832).
  103. ‘Old Arguments Against the Motion of the Earth’, Comp. Alm. (1836), 5–20.
  104. ‘On the Relative Signs of Coordinates’ Lond. Edin. Phil. Mag., 3rd ser., 9 (1836), 249–54.
  105. ‘Notices of English Mathematical and Astronomical Writers Between the Norman Conquest and the Year 1600’, Comp. Alm. (1837), 21–44.
  106. ‘Theorie Analytique des Probabilités. Par M. Le Marquis de Laplace. &c. 3ième edn. 1820 [review]’, The Dublin Review, 2 (Apr. 1837), 338–54, 3 (July 1837), 237–48.
  107. ‘The Mathematics: Their Value in Education’, Central Society of Education, Publication, 1 (1837), 114–44.
  108. ‘On Cavendish’s Experiment’, Comp. Alm. (1838), 26–43.
  109. ‘On the Solid Polyhedron’, Lond. Edin. Phil. Mag., 3rd ser., 12 (1838), 323–24.
  110. ‘Professional Mathematics’, Central Society of Education, Publication, 2 (1838), 132–47.
  111. ‘Sketch of a Method of Introducing Discontinuous Constants into the Arithmetical Expressions for Infinite Series, in Cases where they Admit of Several Values’, TCPS, 6 (1838), 185–93 (read 16 May 1836).
  112. ‘On a Question in the Theory of Probabilities’, TCPS, 6 (1838), 423–30 (read 26 Feb. 1837).
  113. ‘Notices of the Progress of the Problem of Evolution’, Comp. Alm. (1839), 34–52.
  114. ‘On the Rule for Finding the Value of an Annuity on Three Lives’, Lond. Edin. Phil. Mag., 3rd ser., 15 (1839), 337–39. Reprinted in The Assurance Magazine and Journal of the Institute of Actuaries, 10 (1861), 27–28.
  115. ‘On the Calculation of Single Life Contingencies’, Comp. Alm. (1840), 5-–24.
  116. ‘Prospectuses of New Life Assurance Companies [The Necessity of Legislation for Life Assurance]’, Dublin Review, 9 (Aug. 1840), 49–88.
  117. ‘Description of a Calculating Machine Invented by Mr. T. Fowler’, Lond. Edin. Phil. Mag., 3rd ser., 17 (1840), 385–86. Summary. Reprinted in Proceedings of the Royal Society, 4 (1843), 243–44.
  118. ‘On the Perspective of the Coordinate Planes’, CMJ, 2 (1841), 92–93 (Feb. 1840).
  119. ‘On a Simple Property of the Conic Sections’, CMJ, 2 (1841), 202–03.
  120. ‘A Short Mode of Reducing the Square Root of a Number to a Continued Fraction’, CMJ, 2 (1841), 239–40.
  121. ‘On the Use of Small Tables of Logarithms in Commercial Calculations, and on the Practicability of a Decimal Coinage’, Comp. Alm. (1841), 5–21.
  122. ‘Jones’ Value of Annuities and Reversionary Payments [review]’, Dublin Review, 11 (Aug. 1841), 104–33.
  123. ‘Peyrard’s Elements of Euclid’ [review]’, Dublin Review, 11 (Nov. 1841), 330–55.
  124. ‘A Suggestion Relative to Barrett’s Method of Computing the Values of Life Contingencies’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 18 (1841), 268–70.
  125. ‘On the History of Fernel’s Measure of a Degree’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 19 (1841), 445–47.
  126. ‘––––, Additional Note’, Ibid., 3rd ser., 20 (1842), 116–17.
  127. ‘––––, In Reply to Mr Galloway’s Remarks’, Ibid., 3rd ser., 20 (1842), 230–33.
  128. ‘––––, [a further note on the subject]’ Ibid., 3rd ser., 20 (1842), 408–11.
  129. ‘On Life Contingencies, No. 2’ Comp. Alm. (1842), 1–19.
  130. ‘Report of the Commissioners Appointed to Consider the Steps to be Taken for Restoration of the Standards of Weights and Measures [review]’, Dublin Review, 12 (May 1842), 466–93.
  131. ‘Science and Rank: London, 1842’, Dublin Review, 13 (Nov. 1842), 413–48.
  132. ‘On the Invention of the Signs + and –; And on the Sense in which the Former was Used by Leonardo da Vinci’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 20 (1842), 135–57.
  133. ‘On the Foundation of Algebra’, TCPS, 7 (1842), 173–87 (read 9 Dec. 1839).
  134. ‘––––, no. II’, TCPS, 7 (1842), 287–300 (read 29 Nov. 1841).
  135. ‘––––, no. III’, TCPS, 8 (1849), 139–42 (read 27 Nov. 1843).
  136. ‘––––, no. IV, On Triple Algebra’, TCPS, 8 (1849), 241–54 (read 28 Oct. 1844).
  137. ‘Remarks on the Binomial Theorem’, CMJ, 3 (1843), 61–62 (Nov. 1841).
  138. ‘References for the History of the Mathematical Sciences’, Comp. Alm. (1843), 40–65.
  139. ‘On the Invention of the Circular Parts’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 22 (1843), 350–53.
  140. ‘On the Almost Total Disappearance of the Earliest Trigonometrical Canon’, Mon. Notices Royal Astron. Soc., 6, no. 15 (April 1843), 221–28. Reprinted with addition in Lond. Edin. Dubl. Phil. Mag., 3rd ser., 26 (1845), 517–26.
  141. ‘Easter-Day, 1845’, The Athenæum, 872 (13 Jul. 1844), 646.
  142. ‘On Arithmetical Computation’, Comp. Alm. (1844), 1–22.
  143. ‘On the Reduction of a Continued Fraction to a Series’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 24 (1844), 15–17.
  144. ‘On the Equation (D + a)n y = X ’, CMJ, 4 (1845), 60–62 (Feb. 1844).
  145. ‘––––, Addendum’, CMJ, 4 (1845), 96 (May 1844).
  146. ‘On a Law Existing in the Successive Approximations to a Continued Fraction’, CMJ, 4 (1845), 97–99 (May 1844).
  147. ‘On the Ecclesiastical Calendar’, Comp. Alm. (1845), 1–36.
  148. ‘Baily’s Repetition of the Cavendish Experiment on the Mean Density of the Earth &c. [review of books]’ Dublin Review, 18 (Mar. 1845), 75–112.
  149. ‘Speculators and Speculations [review of books]’, Dublin Review, 19 (Sept. 1845), 99–129.
  150. ‘Book-keeping [review of books]’, Dublin Review, 19 (Dec. 1845), 433–53.
  151. ‘On Arbogast’s Formulae of expansion’, CDMJ, 1 (1846), 238–55.
  152. ‘On a Point Connected with the Dispute Between Keil and Leibnitz About the Invention of Fluxions’, Philosophical Transactions of the Royal Society of London, 136 (1846), 107–09 (read Jan. 29 1846).
  153. ‘On the Earliest Printed Almanacs’, Comp. Alm. (1846), 1–31.
  154. ‘Mathematical Bibliography [review of Hain’s Repertorium Bibliographicum and Panizzi’s Catalogue of the Scientific Books in the Library of the Royal Society]’ Dublin Review, 21 (Sept. 1846), 1–37.
  155. ‘On the Derivation of the Word Theodolite’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 28 (1846), 287–89.
  156. ‘On the First Introduction of the Words Tangent and Secant’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 28 (1846), 382–87.
  157. ‘Professor De Morgan on the Syllogism’, Athenæum, 1026 (26 Jun. 1847), 671.
  158. ‘Recurrences of Eclipses and Full Moons’, Comp. Alm. (1847), 53–55.
  159. ‘On Helps to Calculation [review of ‘Tables’, in Supplement to the Penny Cyclopaedia]’, Dublin Review, 22 (Mar. 1847), 74–92.
  160. ‘On the Opinion of Copernicus with Respect to the Light of the Planets’, Mon. Notices Royal Astron. Soc., 7 (1847), 290–94.
  161. ‘A New-Year’s Puzzle’, Athenæum, 1053 (1 Jan. 1848), 14; no. 1061 (26 Feb. 1848), 215.
  162. ‘Punning Dates’, Athenæum, 1084 (5 Aug. 1848), 772.
  163. ‘On the effects of Competitory Examinations, Employed as Instruments in Education’, Athenæum, 1096 (28 Oct. 1848), 1076–77. Reprinted in The Educational Times (1 Dec. 1848), 56–59.
  164. ‘Suggestion on the Integration of Rational Fractions’, CDMJ, 3 (Nov. 1848), 238–42.
  165. ‘On Decimal Coinage’, Comp. Alm. (1848), 5–21.
  166. ‘An Account of the Speculations of Thomas Wright of Durham’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 32 (1848), 241–52.
  167. ‘On the Additions Made to the Second Edition of the Commercium Epistolicum’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 32 (1848), 446–56.
  168. ‘On a Property of the Hyperbola’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 33 (1848), 546–48.
  169. ‘Short Supplementary Remarks on the First Six Books of Euclid’s Elements’, Comp. Alm. (1849), 5–20.
  170. ‘On a New Species of Equations of Differences’, CDMJ, 4 (1849), 87–90.
  171. ‘On a Point in the Solution of Linear Differential Equations’, CDMJ, 4 (1849) 137–39.
  172. ‘On Anharmonic Ratio’, Lond. Edin. Dubl. Phil. Mag., 3rd ser., 35 (1849), 165–71.
  173. ‘On Divergent Series and Various Points of Analysis Connected with Them’, TCPS, 8 (1849), 182–203 (read 4 Mar. 1844).
  174. ‘Methods of Integrating Partial Differential Equations’, TCPS, 8 (1849), 606–13 (read 5 June 1848).
  175. ‘On the Structure of the Syllogism, and on the Application of the Theory of Probabilities to Questions of Argument and Authority [On the Syllogism, no. I]’, TCPS, 8 (1849), 379–408 (read 9 Nov. 1846).
  176. ‘On the Symbols of Logic, the Theory of the Syllogism, and In Particular of the Copula, And the Application of the Theory of Probabilities to Some Questions of Evidence [On the Syllogism, no. II]’, TCPS, 9 (1856), 79–127 (Read 25 Feb. 1850).
  177. ‘On the Syllogism, no. III, and on Logic in General’, TCPS, 10 (1864), 173–230 (Read 8 Feb. 1858).
  178. ‘On the Syllogism, no. IV, and on the Logic of Relations’, TCPS, 10 (1864), 331–58 (read 23 Apr. 1860).
  179. ‘Appendix: On the Syllogism of Transposed Quantity’, TCPS, 10 (1864), 355*–58*.
  180. ‘On the Syllogism, no. V, and on Various Points of the Onymatic System’, TCPS, 10 (1864), 428–88 (read 4 May 1863).
  181. ‘Syllogistic Systems’, Athenæum, 1192 (31 Aug.1850), 927.
  182. ‘On Ancient and Modern Usage in Reckoning’, Comp. Alm. (1850), 5–34.
  183. ‘Extension of the Word “Area”’, CDMJ, 5 (May 1850), 139–42.
  184. ‘Remark on the General Equation of the Second Degree’, The Mathematician, 3 (1850), 154–55.
  185. ‘––––, Supplement’, Ibid., 3, Suppl. (Nov. 1850), 4–5.
  186. ‘An Organized Method of Making the Resolution Required in the Integration of Rational Fractions’, Mathematician, 3 (1850), 242–46.
  187. ‘Remark on Horner’s Method of Solving Equations’, Mathematician, 3 (1850), 289–91.
  188. ‘The Geometrical Foot’, NQ, 2 (1850), 133.
  189. ‘Engelman’s Bibliotheca Scriptorum Classicorum’, NQ, 2 (1850), 296, 328.
  190. ‘On the Equivalence of Compound Interest with Simple Interest Paid When Due’, The Assurance Magazine, 1:4 (1851), 335–36.
  191. ‘Application of Combinations to the Explanation of Arbogast’s Method’, CDMJ, 6 (1851), 35–37.
  192. ‘On the Mode of Using the Signs + and – in Plane Geometry’, CDMJ, 6 (1851), 156–60.
  193. ‘On the Connexion of Involute and Evolute in Space’, CDMJ, 6 (1851), 267–74.
  194. ‘On Some Points in the History of Arithmetic’, Comp. Alm. (1851), 5–18.
  195. ‘[Remarks upon the Gregorian Calendar]’, Mon. Notices Royal Astron. Soc., 11 (1851), 147–48.
  196. ‘Difficulty of Getting Rid of a Name [signed: M]’, NQ, 4 (1851), 173.
  197. ‘Spurious Edition of Baily’s Annuities’, NQ, 4 (1851), 19-20; 8 (1853), 242.
  198. ‘Note on the Calendar’, NQ, 4 (1851), 218.
  199. ‘On a Method of Checking Annuity Tables at Different Rates of Interest by Help of One Another’, Assurance Magazine, 2 (1852), 380–91.
  200. ‘The Case of M. Libri’, Bentley’s Miscellany, 32 (1852), 107–15.
  201. ‘On Partial Differential Equations of the First Order’, CDMJ, 7 (Feb. 1852), 28–35.
  202. ‘On the Signs + and – in Geometry (Continued) and On the Interpretation of the Equation of a Curve’, CDMJ, 7 (Nov. 1852), 242–51.
  203. ‘A Short Account of some Recent Discoveries in England and Germany Relative to the Controversy on the Invention of Fluxions’, Comp. Alm. (1852), 5–20.
  204. ‘On Indirect Demonstration’, Lond. Edin. Dubl. Phil. Mag., 4th ser., 4 (1852), 435–38.
  205. ‘On the Authorship of the “Account of the Commercium Epistolicum” Published in the Philosophical Transactions’, Lond. Edin. Dubl. Phil. Mag., 4th ser., 3 (1852), 440–44.
  206. ‘On the Early History of Infinitesimals in England’, Lond. Edin. Dubl. Phil. Mag., 4th ser., 4 (1852), 321–30.
  207. ‘Query on the Controversy about Fluxions’, NQ, 5 (1852), 103.
  208. ‘James Wilson, M.D.’, NQ, 5 (1852), 276, 399–400.
  209. ‘Francis Walkinghame’, NQ, 5 (1852), 441.
  210. ‘Book of Almanacs’, NQ, 5 (1852), 519.
  211. ‘Mathematical Note’, CDMJ, 8 (1853), 93-4.
  212. ‘On the Difficulty of Correct Descriptions of Books’, Comp. Alm. (1853), 5–19.
  213. ‘Some Suggestions in Logical Phraseology’, Proceedings of the Philological Society, 6 (1853), 27–30.
  214. ‘Thomas Wright of Durham’, NQ, 8 (1853), 218.
  215. ‘Attainment of Majority’, NQ, 8 (1853), 250–51, 372.
  216. ‘Lord Halifax and Mrs. Catherine Barton’, NQ, 8 (1853), 429–33; 2nd ser., 2 (1856), 161–63.
  217. ‘On a Decimal Coinage’, Comp. Alm. (1854), 5–15.
  218. ‘Account of a Correspondence Between Mr George Barrett and Mr Francis Baily’, Assurance Magazine, 4 (1854), 185–99.
  219. ‘On the Demonstration of Formulae Connected with Interest and Annuities’, Assurance Magazine, 4 (1854), 277–82.
  220. ‘Geometrical Curiosity’, NQ, 9 (1854), 14–15.
  221. ‘Book of Almanacs’, NQ, 9 (1854), 561.
  222. ‘Mathematical Bibliography’, NQ, 10 (1854), 47–48.
  223. ‘Christopher Clavius’, NQ, 10 (1854), 158–59.
  224. ‘Southey and Voltaire’, NQ, 10 (1854), 282.
  225. ‘Boswell’s Arithmetic’, NQ, 10 (1854), 363–64.
  226. ‘On Some Questions of Combination’, Assurance Magazine, 5 (1855), 93–99.
  227. ‘The Progress of the Doctrine of the Earth’s Motion Between the Times of Copernicus and Galileo: Being Notes on the Ante-Galilean Copernicans’, Comp. Alm. (1855), 5–25.
  228. ‘Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton, by Sir David Brewster [review]’, North British Review, 23 (1855), 308–38.
  229. ‘Arithmetical Notes, No. I’, NQ, 11 (1855), 57–58.
  230. ‘––––, No. II’, NQ, 12 (1855), 4–5.
  231. ‘––––, No. III’, NQ, 12 (1855), 117–18.
  232. ‘––––, No. IV’, NQ, 12 (1855), 237–38.
  233. ‘New Moon’, NQ, 11 (1855), 235.
  234. ‘Books on Logic’, NQ, 11 (1855), 332–33.
  235. ‘Anticipated Inventions, Etc.’, NQ, 11 (1855), 504–05.
  236. ‘Original Correspondence’, NQ, 12 (1855), 57–58.
  237. ‘Ebrardus and Johannes de Garlandia’, NQ, 12 (1855), 93.
  238. ‘Fly-Leaves of Books: Reuben Burrow’, NQ, 12 (1855), 142–43.
  239. ‘Length of Miles’, NQ, 12 (1855), 195.
  240. ‘A Possible Test of Authorship’, NQ, 12 (1855), 181–82.
  241. ‘Reward for the Quadrature of the Circle’, NQ, 12 (1855), 306–07.
  242. ‘Selden’s “Table-Talk”’, NQ, 12 (1855), 426.
  243. ‘Notes on the History of the English Coinage’, Comp. Alm. (1856), 5–21.
  244. ‘Bayle and His Continuers’, NQ, 2nd ser., 1 (1856), 306.
  245. ‘Musical Notation’, NQ, 2nd ser., 2 (1856), 14–15.
  246. ‘Means of Reading the Logic of Aristotle’, NQ, 2nd ser., 2 (1856), 81–82.
  247. ‘Pound and Mil Scheme’, NQ, 2nd ser., 2 (1856), 112–13.
  248. ‘Organ Tuning’, NQ, 2nd ser., 2 (1856), 190.
  249. ‘Corn Measures’, NQ, 2nd ser., 2 (1856), 196–97.
  250. ‘The Moon’s Rotation’, NQ, 2nd ser., 2 (1856), 208.
  251. ‘Oxford Edition of Pappus’, NQ, 2nd ser., 2 (1856), 227–28.
  252. ‘The New Atlantis’, NQ, 2nd ser., 2 (1856), 265.
  253. ‘John Churchill and the Duchess of Cleveland’, NQ, 2nd ser., 2 (1856), 463.
  254. ‘On Some Points of the Integral Calculus’, TCPS, 9 (1856), pt. 2, 107–38 (Read 24 Feb. 1851).
  255. ‘On Some Points in the Theory of Differential Equations’, TCPS, 9 (1856), pt. 4, 515–47 (read 27 Mar. 1854).
  256. ‘On the Singular Points of Curves and on Newton’s Method of Coordinated Exponents’, TCPS, 9 (1856), pt. 4, 608–27 (read 21 May 1855).
  257. ‘Notes on the State of the Decimal Coinage Question’, Comp. Alm. (1857), 5–19.
  258. ‘Newton’s Nephew, the Rev. B. Smith’, NQ, 2nd ser., 3 (1857), 41–42.
  259. ‘––––; The New Atlantis; Lord Halifax and Mrs. C. Barton’, NQ, 2nd ser., 3 (1857), 250–52.
  260. ‘Impossible Problems’, NQ, 2nd ser., 3 (1857), 272–75.
  261. ‘Abbreviation Wanted’, NQ, 2nd ser., 4 (1857), 5.
  262. ‘Musical Acoustics: Greek Geometers’, NQ, 2nd ser., 4 (1857), 14.
  263. ‘Quadrature of the Circle’, NQ, 2nd ser., 4 (1857), 153; 7 (1859), 433.
  264. ‘Divination’, NQ, 2nd ser., 4 (1857), 186.
  265. ‘Rue at the Old Bailey’, NQ, 2nd ser., 4 (1857), 238.
  266. ‘Butler’s Hudibras’, NQ, 2nd ser., 4 (1857), 229–30.
  267. ‘Book-Dust’, NQ, 2nd ser., 4 (1857), 241–43, 281–83, 301–02.
  268. ‘Notes on Books’, NQ, 2nd ser., 4 (1857), 305.
  269. ‘Dr. Johnson and Dr. Maty’, NQ, 2nd ser., 4 (1857), 341.
  270. ‘Church Leases’, NQ, 2nd ser., 4 (1857), 361.
  271. ‘Hutchinsonianism’, NQ, 2nd ser., 4 (1857), 386–87.
  272. ‘On the Dimensions of the Roots of Equations’, QJPAM, 1 (1857), 1-3, 80.
  273. ‘On Fractions of Vanishing or Infinite Terms’, QJPAM, 1 (1857), 204–09.
  274. ‘Historical Note on the Theorem Respecting the Dimensions of Roots’, QJPAM, 1 (1857), 232–35.
  275. ‘Note on Euclid i, 47’, QJPAM, 1 (1857), 236–37.
  276. ‘“Rum”’, NQ, 2nd ser., 5 (1858), 245.
  277. ‘Desiderius Erasmus: The Ciceronianus’, NQ, 2nd ser., 6 (1858), 8–9.
  278. ‘Epistolae obscurorum virorum’, NQ, 2nd ser., 6 (1858), 22–24, 41–42; 8 (1860), 375.
  279. ‘Swift: Gulliver’s Travels’, NQ, 2nd ser., 6 (1858), 123–26, 251–53.
  280. ‘Game of “One-and-Thirty”’, NQ, 2nd ser., 6 (1858), 159.
  281. ‘Newton’s Apple’, NQ, 2nd ser., 6 (1858), 169–71.
  282. ‘Berners Street Hoax’, NQ, 2nd ser., 6 (1858), 179.
  283. ‘An Assailant of the Mathematical Sciences’, NQ, 2nd ser., 6 (1858), 209.
  284. ‘“P.M.A.C.F.”’, NQ, 2nd ser., 6 (1858), 279.
  285. ‘The Midshipman’s Three Dinners’, NQ, 2nd ser., 6 (1858), 264–65.
  286. ‘Greatness in Different Things’, NQ, 2nd ser., 6 (1858), 292–94.
  287. ‘Napier’s Bones’, NQ, 2nd ser., 6 (1858), 381.
  288. ‘Chess Calculus’, NQ, 2nd ser., 6 (1858), 435.
  289. ‘Albini the Mathematician’, NQ, 2nd ser., 6 (1858), 440.
  290. ‘Something To Be Said on Both Sides’, NQ, 2nd ser., 6 (1858), 480.
  291. ‘On the Integrating Factor of Pdx + Qdy + Rdz’, QJPAM, 2 (1858), 323–26.
  292. ‘On the Classification of Polygons of a Given Number of Sides’, QJPAM, 2 (1858), 340–41.
  293. ‘Mr Hallam’, Athenæum, 1632 (5 Feb. 1859), 188.
  294. ‘Lexell’s Comet’, NQ, 2nd ser., 7 (1859), 13.
  295. ‘Medicine’, NQ, 2nd ser., 7 (1859), 23–24.
  296. ‘Rising of the Lights’, NQ, 2nd ser., 7 (1859), 138–39.
  297. ‘Weapon Salve’, NQ, 2nd ser., 7 (1859), 299–301, 402.
  298. ‘Archbishop Neile’, NQ, 2nd ser., 7 (1859), 346.
  299. ‘Sundry Replies’, NQ, 2nd ser., 8 (1859), 190.
  300. ‘Synonymes’, NQ, 2nd ser., 8 (1859), 224–25.
  301. ‘The Great Exhibition of 1851’, NQ, 2nd ser., 8 (1859), 299–301.
  302. ‘Hypatia’, NQ, 2nd ser., 8 (1859), 277.
  303. ‘Bocardo’, NQ, 2nd ser., 8 (1859), 270.
  304. ‘Book-Markers’, NQ, 2nd ser., 8 (1859), 301.
  305. ‘Francis Burgersdicius’, NQ, 2nd ser., 8 (1859), 327.
  306. ‘Problem in Rhyme’, NQ, 2nd ser., 8 (1859), 372.
  307. ‘Arithmetical Notation’, NQ, 2nd ser., 8 (1859), 460–61; 9 (1860), 52.
  308. ‘On the Word Αριθμος’, Transactions of the Philological Society (1859), 8–14.
  309. ‘On the Determination of the Rate of Interest of an Annuity’ Assurance Magazine, 8 (1860), 61–67.
  310. ‘On A Statement Revived In Mr. Hodge’s Paper On Interest, With Reference To The Authorship Of Graunt’s Observations’, Assurance Magazine, 8 (1860), 166–67.
  311. ‘On a Property of Mr Gompertz’s Law of Mortality’, Assurance Magazine, 8 (1860), 181–84.
  312. ‘On the Unfair Suppression of Due Acknowledgment to the Writings of Mr Benjamin Gompertz’, Assurance Magazine, 9 (1860), 86–89.
  313. ‘A Problem in Drawing’, Athenæum, 1692 (31 Mar. 1860), 442.
  314. ‘Hamilton’s Logic’, Athenæum, 1728 (8 Dec. 1860), 792–93.
  315. ‘Rev. Thomas Bayes, Etc.’, NQ, 2nd ser., 9 (1860), 9–10.
  316. ‘A Question in Logic’, NQ, 2nd ser., 9 (1860), 25, 184–85.
  317. ‘John Gilpin’, NQ, 2nd ser., 9 (1860), 33.
  318. ‘Mariner’s Compass’, NQ, 2nd ser., 9 (1860), 62.
  319. ‘Interest of Money’, NQ, 2nd ser., 9 (1860), 216–17.
  320. ‘Dedications to the Deity’, NQ, 2nd ser., 9 (1860), 350–51.
  321. ‘Drawing Society of Dublin’, NQ, 2nd ser., 9 (1860), 444.
  322. ‘Mathematical Bibliography’, NQ, 2nd ser., 9 (1860), 449–50.
  323. ‘Oliver Goldsmith’, NQ, 2nd ser., 10 (1860), 206–07.
  324. ‘Newton’s Treatise on Fluxions’, NQ, 2nd ser., 10 (1860), 232–33.
  325. ‘Pencil Writing; Fire-Engine’, NQ, 2nd ser., 10 (1860), 255, 457.
  326. ‘Zinc’, NQ, 2nd ser., 10 (1860), 248–49.
  327. ‘Horrocks’, NQ, 2nd ser., 10 (1860), 265.
  328. ‘Sacheverell’, NQ, 2nd ser., 10 (1860), 268.
  329. ‘Leonard Euler’ NQ, 2nd ser., 10 (1860), 272–74.
  330. ‘The Tower Ghost’, NQ, 2nd ser., 10 (1860), 277.
  331. ‘Bullokar’s Bref Grammer’, NQ, 2nd ser., 10 (1860), 278.
  332. ‘Dr Gowin Knight’, NQ, 2nd ser., 10 (1860), 281–82.
  333. ‘Versiera’, NQ, 2nd ser., 10 (1860), 299–300.
  334. ‘Value of Money’, NQ, 2nd ser., 10 (1860), 311.
  335. ‘Per Cent’, NQ, 2nd ser., 10 (1860), 319.
  336. ‘Character of the Germans’, NQ, 2nd ser., 10 (1860), 330–31.
  337. ‘Lagrange’, NQ, 2nd ser., 10 (1860), 361–62.
  338. ‘Ride v. Drive’, NQ, 2nd ser., 10 (1860), 390–91.
  339. ‘Changes of the Moon’, NQ, 2nd ser., 10 (1860), 416.
  340. ‘Newton’s Table of Leases’, Assurance Magazine, 9 (1861), 185–87.
  341. ‘On Gompertz’s Law of Mortality’, Assurance Magazine, 9 (1861), 214–15.
  342. ‘Authorship of the Treatise on Probability Published by the Society for the Diffusion of Useful Knowledge’, Assurance Magazine, 9 (1861), 238.
  343. ‘Mr Edmonds: College Life’, Assurance Magazine, 10 (1861), 29–30.
  344. ‘Hamiltonian Logic’, Athenæum, 1759 (13 Jul. 1861), 51.
  345. ‘––––, no. 2’, Ibid., 1764 (17 Aug. 1861), 222.
  346. ‘––––, no. 3’, Ibid., 1775 (2 Nov. 1861), 582=–83.
  347. ‘––––, no. 4’, Ibid., 1783 (28 Dec. 1861), 883–84.
  348. ‘––––, [a further note]’, Ibid., 1825 (18 Oct. 1862), 496.
  349. ‘––––, [a response]’, Ibid., 1828 (8 Nov. 1862), 594.
  350. ‘––––, [another response]’, Ibid., 1831 (29 Nov. 1862), 698–99.
  351. ‘––––, [another response]’, Ibid., 1833 (13 Dec. 1862), 772.
  352. ‘––––, [a brief response]’, Ibid., 1835 (27 Dec. 1862), 845.
  353. ‘Notes on the History of Perspective’, Athenæum, 1771 (5 Oct. 1861), 446–47.
  354. ‘––––, no. 2’, Ibid., 1773 (19 Oct. 1861), 509–11.
  355. ‘––––, no. 3’, Ibid., 1774 (26 Oct. 1861), 544–45.
  356. ‘––––, no. 4’, Ibid., 1776 (9 Nov. 1861), 617–18.
  357. ‘––––, no. 5’, Ibid., 1777 (16 Nov. 1861), 652–53.
  358. ‘––––, no. 6’, Ibid., 1779 (30 Nov. 1861), 727–28.
  359. ‘––––, no. 7’, Ibid., 1860 (20 Jun. 1863), 812–13.
  360. ‘––––, no. 8’, Ibid., 1872 (12 Sep. 1863), 335–36.
  361. ‘––––, no. 9’, Ibid., 1873 (19 Sep. 1863), 368–69.
  362. ‘The Alphabet’, NQ, 2nd ser., 11 (1861), 209.
  363. ‘The Word “America”’, NQ, 2nd ser., 11 (1861), 264.
  364. ‘Copernicus’, NQ, 2nd ser., 11 (1861), 481–82.
  365. ‘Slips of the Novelists’, NQ, 2nd ser., 12 (1861), 7.
  366. ‘Possible and Actual’, NQ, 2nd ser., 12 (1861), 21.
  367. ‘Fresnel’, NQ, 2nd ser., 12 (1861), 169.
  368. ‘[Isaac Newton’s Descendants]’, NQ, 2nd ser., 12 (1861), 315.
  369. ‘India Rubber’, NQ, 2nd ser., 12 (1861), 339.
  370. ‘Bacon: Conference’; ‘George Wharton’; ‘Epigram on Sheepshanks’, NQ, 2nd ser., 12 (1861), 358–59.
  371. ‘Vossius De Historicis Graecis’, NQ, 2nd ser., 12 (1861), 369; 3rd ser., 1 (1862), 74.
  372. ‘Raining Cats and Dogs’, NQ, 2nd ser., 12 (1861), 380–81.
  373. ‘Sir I. Newton’s Books’, NQ, 2nd ser., 12 (1861), 440–41.
  374. ‘Lost Passage of Aristotle’, NQ, 2nd ser., 12 (1861), 443.
  375. ‘Recovery of Things Lost’, NQ, 2nd ser., 12 (1861), 506–07.
  376. ‘Mr Woolhouse’s recent paper’, Assurance Magazine, 10 (1862), 237–38.
  377. ‘On the Rejection of the Fractions of a Pound in Extensive Valuations’, Assurance Magazine, 10 (1862), 247–51.
  378. ‘A Query about Interest Accounts’, Assurance Magazine, 10 (1862), 281–82.
  379. ‘The Word “Any”’, NQ, 3rd ser., 1 (1862), 23–24.
  380. ‘Materials’, NQ, 3rd ser., 1 (1862), 52.
  381. ‘Michael Scott’s Writings on Astronomy’, NQ, 3rd ser., 1 (1862), 176.
  382. ‘Colonel’, NQ, 3rd ser., 1 (1862), 196.
  383. ‘Not Too Good to be True’, NQ, 3rd ser., 1 (1862), 245.
  384. ‘Possession Nine Points of the Law’, NQ, 3rd ser., 1 (1862), 388.
  385. ‘Nullification’, NQ, 3rd ser., 2 (1862), 85.
  386. ‘Literature of Lunatics’, NQ, 3rd ser., 2 (1862), 197.
  387. ‘Fiddles, Flutes and Fancies’, NQ, 3rd ser., 2 (1862), 206–07.
  388. ‘Cut-throat Lane, Chalk Farm’, NQ, 3rd ser., 2 (1862), 209.
  389. ‘Essays on Assurance’, NQ, 3rd ser., 2 (1862), 251–52.
  390. ‘Galileo and the Telescope’, NQ, 3rd ser., 2 (1862), 288–89.
  391. ‘Andrew Horn(e)’, NQ, 3rd ser., 2 (1862), 307.
  392. ‘Algebra’, NQ, 3rd ser., 2 (1862), 319.
  393. ‘Pindar, Hallam, and Byron’, NQ, 3rd ser., 2 (1862), 321–22.
  394. ‘Gabriel Naudé’, NQ, 3rd ser., 2 (1862), 332–33.
  395. ‘Dog’s Teeth: Pointing at Lightning’, NQ, 3rd ser., 2 (1862), 342.
  396. ‘Alchemy’, NQ, 3rd ser., 2 (1862), 352–53.
  397. ‘If Not’, NQ, 3rd ser., 2 (1862), 384, 518.
  398. ‘Butterfield of Paris’, NQ, 3rd ser., 2 (1862), 398.
  399. ‘On the Forms Under Which Barrett’s Method is Presented, and on Changes of Words and Symbols’, Assurance Magazine, 10 (1863), 301–12.
  400. ‘Rules to be Observed in Converting the Parts of One Pound into Decimals’, Assurance Magazine, 11 (1863), 53–54.
  401. ‘A Budget of Paradoxes, No. I. Introduction’, The Athenæum, 1876 (10 Oct. 1863), 466–68.
  402. ‘––––, No. II. 1503–1600’, Ibid., 1877 (17 Oct. 1863), 500–01.
  403. ‘––––, No. III. 1600–1658’, Ibid., 1878 (24 Oct. 1863), 534–35.
  404. ‘––––, No. IV. 1660–1668’, Ibid., 1879 (31 Oct. 1863), 573–74.
  405. ‘––––, No. V. 1676–1699’, Ibid., 1880 (7 Nov. 1863), 610–11.
  406. ‘––––, No. VI. 1705–1747’, Ibid., 1881 (14 Nov. 1863), 645–46.
  407. ‘––––, No. VII. 1747–1751’, Ibid., 1883 (28 Nov. 1863), 719–20.
  408. ‘––––, No. VIII. 1754–1792’, Ibid., 1885 (12 Dec. 1863), 800–01.
  409. ‘––––, No. IX. 1792–1802’, Ibid., 1887 (26 Dec. 1863), 878–79.
  410. ‘––––, No. X. 1803–1819’, Ibid., 1889 (9 Jan. 1864), 55–56.
  411. ‘––––, No. XI. 1819–1825’, Ibid., 1891 (23 Jan. 1864), 122–23.
  412. ‘––––, No. XII. 1825’, Ibid., 1893 (6 Feb. 1864), 195.
  413. ‘––––, No. XIII. 1825–1830’, Ibid., 1896 (27 Feb. 1864), 302–03.
  414. ‘––––, No. XIV. 1830–1833’, Ibid., 1899 (19 Mar. 1864), 408–09.
  415. ‘––––, No. XV. 1834–1835’, Ibid., 1901 (2 Apr. 1864), 474–76.
  416. ‘––––, ––––. 1836–1839’, Ibid., 1906 (7 May. 1864), 647–48.
  417. ‘––––, ––––. 1839–1840’, Ibid., 1914 (2 Jul. 1864), 20–21.
  418. ‘––––, No. XVI. 1842–1845’, Ibid., 1919 (6 Aug. 1864), 181–82.
  419. ‘––––, No. XVII. 1846–1847’, Ibid., 1921 (20 Aug. 1864), 246–47.
  420. ‘––––, No. XVIII. 1847–1849’, Ibid., 1922 (27 Aug. 1864), 276–77.
  421. ‘––––, No. XIX. 1849–1850’, Ibid., 1924 (10 Sept. 1864), 340–41.
  422. ‘––––, No. XX. 1851–1854’, Ibid., 1930 (22 Oct. 1864), 529.
  423. ‘––––, No. XXI. 1854–1855’, Ibid., 1942 (14 Jan. 1865), 54–55.
  424. ‘––––, No. XXII. 1855’, Ibid., 1947 (18 Feb. 1865), 236.
  425. ‘––––, No. XXIII. 1856’, Ibid., 1950 (11 Mar. 1865), 350.
  426. ‘––––, No. XXIV. 1856–1858’, Ibid., 1952 (25 Mar. 1865), 423–24.
  427. ‘––––, No. XXV. 1859’, Ibid., 1960 (20 May 1865), 685–86.
  428. ‘––––, No. XXVI. 1859’, Ibid., 1965 (24 Jun. 1865), 847–48.
  429. ‘––––, No. XXVII’, Ibid., 1967 (8 Jul. 1865), 52–53.
  430. ‘––––, No. XXVIII. 1859–1861’, Ibid., 1968 (15 Jul. 1865), 84–85.
  431. ‘––––, No. XXIX. 1862’, Ibid., 1970 (29 Jul. 1865), 149–50.
  432. ‘––––, No. XXX. 1862’, Ibid., 1973 (19 Aug. 1865), 248–49.
  433. ‘––––, No. XXXI. 1862–1863’, Ibid., 1975 (2 Sept. 1865), 312.
  434. ‘––––, No. XXXII. 1863’, Ibid., 1981 (14 Oct. 1865), 504–05.
  435. ‘––––, No. XXXIII’, Ibid., 1987 (25 Nov. 1865), 729–30.
  436. ‘––––, Supplement, no. I, Ibid., 2008 (21 Apr. 1866), 531–32.
  437. ‘––––, ––––, no. II, Ibid., 2013 (26 May 1866), 706–07.
  438. ‘––––, ––––, no. III, Ibid., 2016 (16 Jun. 1866), 803–04.
  439. ‘––––, ––––, no. IV, Ibid., 2017 (23 Jun. 1866), 835–36.
  440. ‘––––, ––––, no. V, Ibid., 2018 (30 Jun. 1866), 868–69.
  441. ‘––––, ––––, no. VI, Ibid., 2019 (7 Jul. 1866), 19–20.
  442. ‘––––, ––––, no. VII, Ibid., 2020 (14 Jul. 1866), 52; 2029 (15 Sept. 1866), 336–37.
  443. ‘––––, ––––, no. VIII, Ibid., 2034 (20 Oct. 1866), 500–01.
  444. ‘––––, ––––, no. IX, Ibid., 2035 (27 Oct. 1866), 534–35.
  445. ‘––––, ––––, no. X, Ibid., 2040 (1 Dec. 1866), 718.
  446. ‘––––, ––––, no. XI, Ibid., 2046 (12 Jan. 1867), 51–52.
  447. ‘––––, ––––, no. XII, Ibid., 2047 (19 Jan. 1867), 89–90.
  448. ‘––––, ––––, no. XIII, Ibid., 2048 (26 Jan. 1867), 121.
  449. ‘––––, ––––, no. XIV, Ibid., 2054 (9 Mar. 1867), 324.
  450. ‘––––, ––––, no. XV, Ibid., 2057 (30 Mar. 1867), 422–23.
  451. All Reprinted in Assurance Magazine (1863–1870), and as a monograph in 1872 (see above).
  452. ‘Christmas Carol’, NQ, 3rd ser., 3 (1863), 79.
  453. ‘Reference to Preceding Authors’, NQ, 3rd ser., 3 (1863), 223.
  454. ‘The Rev. John Sampson’, NQ, 3rd ser., 4 (1863), 24–25.
  455. ‘On the Derivation of the Word Theodolite’, NQ, 3rd ser., 4 (1863), 51–52.
  456. ‘Apparitions’, NQ, 3rd ser., 4 (1863), 68–69.
  457. ‘Major-General John Lambert’, NQ, 3rd ser., 4 (1863), 89.
  458. ‘Jacob’s Staff [and Theodolite]’, NQ, 3rd ser., 4 (1863), 113–15.
  459. ‘Spearman’, NQ, 3rd ser., 4 (1863), 169.
  460. ‘Maps [John Nicholson of Cambridge]’, NQ, 3rd ser., 4 (1863), 170–71, 417.
  461. ‘Epigram [on Newton Fellowes]’, NQ, 3rd ser., 4 (1863), 174.
  462. ‘Random’, NQ, 3rd ser., 4 (1863), 183, 6 (1864), 183.
  463. ‘Mistakes of the Novelists’, NQ, 3rd ser., 4 (1863), 185.
  464. ‘Riddle: Rhyme to Timbuctoo’, NQ, 3rd ser., 4 (1863), 188, 338.
  465. ‘I Know No More than the Pope’, NQ, 3rd ser., 4 (1863), 217.
  466. ‘Regiomontanus’, NQ, 3rd ser., 4 (1863), 277.
  467. ‘Counterfeit Ballads’, NQ, 3rd ser., 4 (1863), 284–85.
  468. ‘A Hint to Extractors’, NQ, 3rd ser., 4 (1863), 286.
  469. ‘Long Grass’, NQ, 3rd ser., 4 (1863), 288.
  470. ‘Sedechias’, NQ, 3rd ser., 4 (1863), 309.
  471. ‘Alexander the Great: Swift in the Nursery’, NQ, 3rd ser., 4 (1863), 324.
  472. ‘The Devil’, NQ, 3rd ser., 4 (1863), 329–30.
  473. ‘Notes on the Life of Robert Robinson (1735–1790)’, NQ, 3rd ser., 4 (1863), 341–44, 481–82.
  474. ‘Inkstand’, NQ, 3rd ser., 4 (1863), 348, 462.
  475. ‘Peter Walter’, NQ, 3rd ser., 4 (1863), 348–49.
  476. ‘The Kaleidoscope’, NQ, 3rd ser., 4 (1863), 350.
  477. ‘Quotation Wanted’, NQ, 3rd ser., 4 (1863), 358.
  478. ‘Heath Beer’, NQ, 3rd ser., 4 (1863), 382–83.
  479. ‘Cornelius Agrippa on the Morals of the Clergy’, NQ, 3rd ser., 4 (1863), 387–88.
  480. ‘Misuse of Words’, NQ, 3rd ser., 4 (1863), 461.
  481. ‘Text of Walter Scott’s Novels’, NQ, 3rd ser., 4 (1863), 470.
  482. ‘Lord Bacon’s Religious Faith’, Athenæum, 1916 (16 Jul. 1864), 82.
  483. ‘––––, [a response]’, Athenæum, 1917 (23 Jul. 1864), 115.
  484. ‘History of the Signs + and –’, Athenæum, 1925 (17 Sept. 1864), 82.
  485. ‘Derivation of + and –’, Athenæum, 1928 (8 Oct. 1864), 463.
  486. ‘History of + and –’, Athenæum, 1931 (29 Oct. 1864), 565.
  487. ‘Scripture and Science’, Athenæum, 1934 (19 Nov. 1864), 672.
  488. ‘Publication of Diaries’, NQ, 3rd ser., 5 (1864), 261–62, 361–63.
  489. ‘Anonymous Contributions to N. & Q.’, NQ, 3rd ser., 5 (1864), 307.
  490. ‘Judicial Committee of Privy Council’, NQ, 3rd ser., 5 (1864), 364.
  491. ‘A Bull of Burke’s’, NQ, 3rd ser., 5 (1864), 366–67.
  492. ‘Jeremiah Horrocks’, NQ, 3rd ser., 5 (1864), 367.
  493. ‘Miscellanea Curiosa’, NQ, 3rd ser., 5 (1864), 387.
  494. ‘John Bunyan’, NQ, 3rd ser., 5 (1864), 455–56.
  495. ‘Duchayla’, NQ, 3rd ser., 5 (1864), 527–28.
  496. ‘Jacob’s Staff; Astrolabe; Margarita Philosophica’, NQ, 3rd ser., 6 (1864), 51.
  497. ‘Aristotle’s Politics’, NQ, 3rd ser., 6 (1864), 55.
  498. ‘White Hats’, NQ, 3rd ser., 6 (1864), 57.
  499. ‘Unexpectedness of Phrase’, NQ, 3rd ser., 6 (1864), 46.
  500. ‘“Very Peacock”: Hamlet’, NQ, 3rd ser., 6 (1864), 66. Responding to a mistake in the index of vol. 5, attributing an earlier note on the subject (pp. 387–88), by ‘Melites’, to De Morgan.
  501. ‘Two Suggestions on the Quadrature of the Circle’, NQ, 3rd ser., 6 (1864), 67.
  502. ‘Leland; Thomas Grynaeus’, NQ, 3rd ser., 6 (1864), 83–84.
  503. ‘Bale’s Scriptores’, NQ, 3rd ser., 6 (1864), 87–88, 154–55.
  504. ‘Logical Bibliography’, NQ, 3rd ser., 6 (1864), 101–03.
  505. ‘Thomas Taylor’s Catalogue’, NQ, 3rd ser., 6 (1864), 117.
  506. ‘Jacob’s Staff; Atkinson’s Navigation’; ‘Sextant’, NQ, 3rd ser., 6 (1864), 138.
  507. ‘Penny Postage’, NQ, 3rd ser., 6 (1864), 143.
  508. ‘Is a Thing Itself, or Something Else?’, NQ, 3rd ser., 6 (1864), 161.
  509. ‘Papist’, NQ, 3rd ser., 6 (1864), 175–76.
  510. ‘Propositions’, NQ, 3rd ser., 6 (1864), 181.
  511. ‘“As Sure As Eggs Is Eggs”’, NQ, 3rd ser., 6 (1864), 203.
  512. ‘Pictorial Fiction’, NQ, 3rd ser., 6 (1864), 207.
  513. ‘“Miss Bailey”, Latin Version’, NQ, 3rd ser., 6 (1864), 218.
  514. ‘Quarter-Sovereign’, NQ, 3rd ser., 6 (1864), 226.
  515. ‘Cheap Repository Tracts’, NQ, 3rd ser., 6 (1864), 241–45, 353–55.
  516. ‘Symbolization of Colours in Heraldry’; ‘Negro New Testaments’, NQ, 3rd ser., 6 (1864), 251.
  517. ‘Detached Sheet’, NQ, 3rd ser., 6 (1864), 266.
  518. ‘Art Curiosity’, NQ, 3rd ser., 6 (1864), 277.
  519. ‘On the Question: What is the Solution of a Differential Equation? A Supplement to the … Paper “On Some Points of the Integral Calculus”’, TCPS, 10 (1864), 21–26 (read 28 Apr. 1856).
  520. ‘On the Beats of Imperfect Consonances’, TCPS, 10 (1864), 129–45 (read 9 Nov. 1857).
  521. ‘A Proof of the Existence of a Root in Every Algebraic Equation: With an Examination and Extension of Cauchy’s Theorem on Imaginary Roots …’, TCPS, 10 (1864), 261–70 (read 7 Dec. 1857).
  522. ‘On the General Principles of Which the Composition or Aggregation of Forces is a Consequence’, TCPS, 10 (1864), 290–304 (read 14 Mar. 1859).
  523. ‘On the Theory of Errors of Observation’, TCPS, 10 (1864), 409–27 (read 11 Nov. 1861).
  524. ‘The Bases Shall be Equal’, Athenæum, 1959 (13 May 1865), 653.
  525. ‘Shall and Will’, Athenæum, 1962 (3 June 1865), 758.
  526. ‘A New Crotchet about 666’, Athenæum, 1991 (23 Dec. 1865), 889.
  527. ‘On a Problem in Annuities, and on Arbogast’s Method of Development’, Assurance Magazine, 12 (1865), 206–12.
  528. ‘On the Summation of Divergent Series’, Assurance Magazine, 12 (1865), 245–52.
  529. ‘Speech of Professor De Morgan’, Proceedings of the London Mathematical Society, 1 (1865), 1–9.
  530. ‘A Proof That Every Function Has a Root’, Proceedings of the London Mathematical Society, 1 (1865), 55–56.
  531. ‘On the Calculation of Single Life Contingencies. Part I’, Assurance Magazine, 12 (1866), 328–49.
  532. ‘––––, Part II’, Journal of the Institute of Actuaries, 13 (1866), 129–49.
  533. ‘The Portrait of Copernicus’, Gentleman’s Magazine, n.s., 1 (1866), 804–08.
  534. ‘Letter to the President on the Foundation of the Society’ Mon. Notices Royal Astron. Soc., 26 (1866), suppl. Reprinted in Dreyer, J.L.E. and H.H. Turner, eds, History of the Royal Astronomical Society (London: Royal Astronomical Society, 1923), pp. 21–22.
  535. ‘On the Conic Octagram’, Proceedings of the London Mathematical Society, 2 (1866), 26–29.
  536. ‘On Infinity and on the Sign of Equality’, TCPS, 11 (1866), 145–89 (read 16 May 1864).
  537. ‘A Theorem Relating to Neutral Series’, TCPS, 11 (1866), 190–202 (read 16 May 1864).
  538. ‘On the Root of Any Function and on Neutral Series, No. II’, TCPS, 11 (1869), 239–66 (read 7 May 1866).
  539. ‘Note on “A Theorem Relative to Neutral Series”’, TCPS, 11 (1871), 447–60 (read 26 Oct. 1868).
  540. ‘On the Early History of the Signs + and –’, TCPS, 11 (1866), 203–12 (read 28 Nov. 1864).
  541. ‘The Church Calendar’, Athenæum, 2074 (27 Jul. 1867), 116.
  542. ‘Pascal and Newton’, Athenæum, 2079 (31 Aug. 1867), 273–74.
  543. ‘Sir John Wilson’, Athenæum, 2087 (26 Oct. 1867), 538.
  544. ‘Value of a Policy—Formulæ—Milne’, JIA, 14 (1867), 69–70.
  545. ‘Note on the Annual Report’, Mon. Notices Royal Astron. Soc. 27 (1867), 211.
  546. ‘Pseudomath, Philomath, and Graphomath’, Athenæum, 2097 (4 Jan. 1868), 21–22.
  547. ‘Diogenes the Dog’, Athenæum, 2101 (1 Feb. 1868), 173–74.
  548. ‘An Old Song’, Athenæum, 2103 (15 Feb. 1868), 254.
  549. ‘Old Printing’, Athenæum, 2120 (13 Jun. 1868), 832.
  550. ‘Calculation’, Athenæum, 2121 (20 June 1868), 864.
  551. ‘[On Milton]’, Athenæum, 2127 (1 Aug. 1868), 147.
  552. ‘The Milton epitaph’, Athenæum, 2128 (8 Aug. 1868), 179.
  553. ‘Logic and Grammar’, Athenæum, 2135 (26 Sept. 1868), 405–06.
  554. ‘Fourier’s Statistical Tables’, JIA, 14 (1868), 89–90.
  555. ‘On the Final Law of the Sums of Drawings’, JIA, 14 (1868), 175–82.
  556. ‘Some Account of James Dodson, F.R.S.’, JIA, 14 (1868), 341–64.
  557. ‘Remark on the Preceding Paper [“On General Numerical Solutions” by W.S.B. Woolhouse]’, Proceedings of the London Mathematical Society, 2 (1868), 84–85.
  558. Reprinted in JIA, 15 (1870), 327–28.
  559. ‘Private Life of Abraham de Moivre’, Athenæum, 2149 (2 Jan. 1869), 21–22; no. 2150 (9 Jan. 1869), 57–58.
  560. ‘The Warbling Lute’, Athenæum, 2176 (10 July 1869), 51–52.
  561. ‘Cocker’, Athenæum, 2189 (9 Oct. 1869), 463–64.
  562. ‘The Milton Difficulty’, Athenæum, 2202 (8 Jan. 1870), 72.