Article ID: CBB348764862

Charles L. Dodgson’s Work on Trigonometry (2019)

unapi

There is growing interest in the mathematics of Charles L. Dodgson, alias Lewis Carroll (1832–1898). His contributions to geometry, algebra, logic, voting theory and recreational mathematics have been reviewed in recent literature. Dodgson’s work in trigonometry is less known. He wrote his initial work on trigonometry, a pamphlet titled The Formulae of Plane Trigonometry, out of concern for his students to ease their studying burden and to improve their performance on examinations. Notable for its precision and completeness, it has all the tell-tale characteristics we associate with the serious mathematical writings he produced throughout his lifetime. He designed his later trigonometric work as the legatee of Augustus De Morgan’s correspondence with would-be circle squarers to appeal to and be understood by these mathematical dilettantes. This paper surveys Dodgson’s trigonometric work and what it teaches us about Dodgson’s mathematical practices. Keywords: British mathematics, Charles L. Dodgson, circle-squaring, nineteenth century, trigonometry

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Authors & Contributors
Moktefi, Amirouche
Brummelen, Glen Van
Andreas Thom
Crippa, Davide
Unger, J. Marshall
Savadi, Fatemeh
Journals
Tarikh-e Elm (The Iranian Journal for the History of Science)
Historia Mathematica
British Journal for the History of Mathematics
Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Indian Journal of History of Science
Centaurus: International Magazine of the History of Mathematics, Science, and Technology
Publishers
Princeton University Press
Springer-Verlag
Springer International
Springer
Oxford University Press
Librairie Philosophique J. Vrin
Concepts
Mathematics
Trigonometry
Geometry
Arab/Islamic world, civilization and culture
Squaring the circle
Algebra
People
Leibniz, Gottfried Wilhelm von
Hipparchos of Rhodes
Dodgson, Charles Lutwidge
Archimedes
Wantzel, Pierre Laurent
Viète, François de la Bigotière
Time Periods
Ancient
17th century
Qing dynasty (China, 1644-1912)
Medieval
19th century
Ming dynasty (China, 1368-1644)
Places
Greece
Iran
India
England
Japan
Egypt
Institutions
Jesuits (Society of Jesus)
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