Systematic Bibliography & Editions

Primary Editions, Classical Sources & Nineteenth-Century Memoirs Cited in Casey’s Sequel

Every :cite: reference across the 3-Track Book Codex resolves to its canonical anchor below.

[altshiller-court:1952] — College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (2nd ed.)

  • Author / Editor: Nathan Altshiller-Court

  • Publication / Locus: New York: Barnes & Noble, 1952 (Dover 2007)

[brocard:1881] — Étude d’un nouveau cercle du plan du triangle

  • Author / Editor: Henri Brocard

  • Publication / Locus: Association Française pour l’Avancement des Sciences, Congrès d’Alger (1881), 138–159

[casey:1861:feuerbach] — Proof of Feuerbach’s Theorem by Inversion, Quarterly Journal of Pure and Applied Mathematics 4 (1861), 237–238

  • Author / Editor: John Casey

  • Publication / Locus: QJM 4 (1861), 237–238

[casey:1866:circles] — On the Equations and Properties: (1) of the System of Circles Touching Three Circles in a Plane; (2) of the System of Spheres Touching Four Spheres in Space; (3) of the System of Circles Touching Three Circles on a Sphere; (4) on the System of Conics Inscribed to a Conic, and Touching Three Inscribed Conics in a Plane

  • Author / Editor: John Casey

  • Publication / Locus: Proc. Royal Irish Academy 9 (1866), 396–423

[casey:1886:harmonic] — On the Harmonic Hexagon of a Triangle

  • Author / Editor: John Casey

  • Publication / Locus: Proc. Royal Irish Academy (2) 4 (1886), 545–556

[casey:sequel:1888] — A Sequel to the First Six Books of the Elements of Euclid, Containing an Easy Introduction to Modern Geometry, with Numerous Examples (5th ed., rev. and enlarged)

  • Author / Editor: John Casey

  • Publication / Locus: Dublin: Hodges, Figgis, & Co. / London: Longmans, Green, & Co., 1888

[casey:sequel:1892] — A Sequel to the First Six Books of the Elements of Euclid (6th ed., rev. and enlarged)

  • Author / Editor: John Casey (ed. Patrick A. E. Dowling)

  • Publication / Locus: Dublin: Hodges, Figgis, & Co. / London: Longmans, Green, & Co., 1892

[ceva:1678] — De lineis rectis se invicem secantibus statica constructio

  • Author / Editor: Giovanni Ceva

  • Publication / Locus: Milan: Ludovico Montia, 1678

[chasles:1852] — Traité de géométrie supérieure

  • Author / Editor: Michel Chasles

  • Publication / Locus: Paris: Bachelier, 1852

[euclid:heath:1908] — The Thirteen Books of Euclid’s Elements (3 vols.)

  • Author / Editor: Euclid (trans. T. L. Heath)

  • Publication / Locus: Cambridge University Press, 1908 (2nd ed. 1926)

[feuerbach:1822] — Eigenschaften einiger merkwürdigen Punkte des geradlinigen Dreiecks, und mehrerer durch sie bestimmten Linien und Figuren

  • Author / Editor: Karl Wilhelm Feuerbach

  • Publication / Locus: Nürnberg: Riegel und Wiessner, 1822

[gaultier:1813] — Mémoire sur les moyens généraux de construire graphiquement un cercle déterminé par trois conditions, et une sphère déterminée par quatre conditions

  • Author / Editor: Louis Gaultier

  • Publication / Locus: Journal de l’École Polytechnique 16 (1813), 124–214

[hart:1861] — Extension of Terquem’s [Feuerbach’s] Theorem Respecting the Circle Which Bisects Three Sides of a Triangle

  • Author / Editor: Andrew Searle Hart

  • Publication / Locus: Quarterly Journal of Pure and Applied Mathematics 4 (1861), 260–261

[kimberling:etc] — Encyclopedia of Triangle Centers (ETC)

  • Author / Editor: Clark Kimberling

  • Publication / Locus: University of Evansville / geometor-etc (X(1)–X(53144))

[lahire:1685] — Sectiones Conicae in novem libros distributae

  • Author / Editor: Philippe de La Hire

  • Publication / Locus: Paris: Estienne Michallet, 1685

[lemoine:1873] — Note sur un point remarquable du plan d’un triangle

  • Author / Editor: Émile Lemoine

  • Publication / Locus: Association Française pour l’Avancement des Sciences, Congrès de Lyon (1873), 90–95

[neuberg:1885] — Sur le quadrilatère harmonique

  • Author / Editor: Joseph Neuberg

  • Publication / Locus: Mathesis 5 (1885), 202–209, 217–221, 241–248, 265–269

[pappus:synagoge] — Synagoge (Mathematical Collection), Book VII

  • Author / Editor: Pappus of Alexandria

  • Publication / Locus: c. 340 CE / geometor-pappus

[poncelet:1822] — Traité des propriétés projectives des figures

  • Author / Editor: Jean-Victor Poncelet

  • Publication / Locus: Paris: Bachelier, 1822

[steiner:1826] — Einige geometrische Betrachtungen

  • Author / Editor: Jakob Steiner

  • Publication / Locus: Journal für die reine und angewandte Mathematik (Crelle) 1 (1826), 161–184

[taylor:1882] — The Relations of the Intersections of a Circle with a Triangle

  • Author / Editor: Henry Martyn Taylor

  • Publication / Locus: Proceedings of the London Mathematical Society 15 (1883–1884), 122–139

[tucker:1883] — The ‘Triplicate-Ratio’ Circle

  • Author / Editor: Robert Tucker

  • Publication / Locus: Quarterly Journal of Pure and Applied Mathematics 19 (1883), 342–348