Journal Papers (Refereed)

  • “On a Flawed, 16th-Century Derivation of Brahmagupta’s Formula for the Area of a Cyclic Quadrilateral,” Forum Geometricorum 15 (2015), pp.165-172.
  • “From Brahmagupta to Euler: On the Formula for the Area of a Cyclic Quadrilateral,” BSHM Bulletin. Journal of the British Society for History of Mathematics 30(2015), pp. 20-34.
  • (with Gerard Buskes) “Engel’s Ingenious Models: On the Models of the Fresnel Wave Surface at the University of Mississippi,” Rittenhouse – Journal of the American Scientific Instrument Enterprise 22:1 (2009) (special issue), pp. 90-112.
  • “On n-Sections and Reciprocal Quadrilaterals,” Forum Geometricorum 9 (2009), pp. 1-17.
  • “An Elementary Proof of a Theorem by Emelyanov,” Forum Geometricorum 8 (2008), pp. 201-204.
  • “Butterflies in Quadrilaterals: A Comment on a Note by Sidney Kung,” Mathematics Magazine 80:1 (Febr. 2007), pp. 70-72.
  • “A Theorem by Giusto Bellavitis on a Class of Quadrilaterals,” Forum Geometricorum 6 (2006), pp. 181-185.
  • “Into the Woods: Wiener in Maine,” The Mathematical Intelligencer 25:2 (Spring 2003), pp. 7-17.
  • “Beyond Monge’s Theorem: A Generalization of the Pythagorean Theorem,” Mathematics Magazine 73:4 (Oct. 2000), pp. 293-296.
  • (with R. H. Vermij) “Specilla Circularia: an Unknown Work by Johannes Hudde,” Studia Leibnitiana XXVII/1 (1995), pp.104-121
  • “Letters from Luigi Cremona to Julius Plücker (1867-1868), ” (in Italian) La Corrispondenza di Luigi Cremona (1830-1903), vol. II (= Serie di Quaderni della Rivista di Storia della Scienza, n.3 (1994)), pp. 73-77.
  • “All Phenomena of Optics that depend on Mathematics – A Sketch of the Development of 19th Century Geometrical Optics,” Tractrix. Yearbook for the Dutch Society for the History of Science, vol.5 (1993), pp. 45-80.

Book Chapters (Refereed)

  • “Charles-François Sturm’s Writings on Optics.” In: J.-C. Pont (e.a.) (Eds) Collected Works of Charles-François Sturm (Basel: Birkhäuser, 2009), pp.49-68.
  • (with H. White) “Euler on Cevians.” In: A. Shell-Gellasch & R. Jardine (Eds) From Calculus to Computers. Using the Last 200 Years of Mathematics History in the Classroom (= MAA Notes #68) (Washington: MAA, 2005), pp. 75-91.
  • (with G. Alberts & J.A. van Maanen) “Mathematics in the Netherlands: A Brief Survey, with an Emphasis on the Relation to Physics, 1560-1960.” In: K. van Berkel (e.a.) (Eds) A History of Science in the Netherlands. Survey, Themes and Reference (Leiden: Brill, 1999), pp. 367-399.
  • “A Theory of Caustics – The Contribution of Dupin, Quetelet, and Gergonne to Geometrical Optics.” In: A. von Gotstedter (Ed.), Ad Radices. IGN Jubiläumsband (Steiner Verlag Stuttgart, 1995), pp. 331-354.

Conference Papers (Refereed)

  • “A Most Elegant Property: On the Early History of Lexell’s Theorem” In: Dirk Schlimm and Maria Zack (eds), Research in History and Philosophy of Mathematics. The CSHPM 2016 Annual Meeting in Calgary, Alberta (Birkhauser, 2017), pp. 117-132.
  • “Mathematics Textbook Reform in the Progressive Era: The Case of David Eugene Smith.” In: Monique Lebrun e.a. (eds), Le manuel scolaire, d’ici et d’ailleurs, d’hier à demain (Montréal: PUQ, 2007) (file 10-04.pdf on accompanying CD-ROM; 15 pp.).

Reference Works Entries

  • “Richard van Rees (1797-1875).” (in Dutch) In: Biographisch Woordenboek van Nederlandse Wiskundigen (BWNW) (an on-line dictionary of Dutch mathematicians).
  • “Johan Frederik Hennert (1733-1813).” (in Dutch) In: Biographisch Woordenboek van Nederlandse Wiskundigen (BWNW) (an on-line dictionary of Dutch mathematicians).
  • “Table 1: Geometrical Optics in the 19th Century.” (in Italian) In: Sandro Petruccioli e.a. (eds.) Storia della Scienza (Rome: Istituto della Enciclopedia Italiana, 2001-2004). Vol. 7 (2002), p.345

Outreach

  • “When More is Not Always Better: On How Not to Approach an Elementary Construction Problem,” GeT: The News Volume 1, Issue 3 (Spring, 2020), pp.1, 4-5 (= Newsletter for the GRIP Group, School of Education, University of Michigan).
  • (with Geoff Lambert) “An Italian Lesson in Timetable Reading,” The Times. Journal of the Australian Association of Timetable Collectors 19:8 (August 2002), pp. 11-15.
  • “Sonia Kovalevskaia,” (in Dutch) Pythagoras, 3 (1997/8), p.4.
  • “Christiaan Huygens and the 19th Century: the Road to the Oeuvres Complètes,” (in Dutch) De Prate-banck. Informatiebulletin van Vereniging Hofwijck afl. 2.4 (1995), pp. 3-7.
  • “Dirk Struik – Centenarian!!,” (in Dutch) Nieuwe Wiskrant. Tijdschrift voor Nederlands Wiskundeonderwijs vol. 14.2 (1995), pp. 27-31.
  • “On Caustic Curves and their Determination,” (in Dutch) Vakantiecursus 1994 Computer Algebra (= CWI Syllabus 36), pp.26-41.