Bibliography & Primary Editions

Primary Editions of Giovanni Ceva

  • Ceva (1678) — Giovanni Ceva, De lineis rectis se invicem secantibus statica constructio. Ad Serenissimum Ferdinandum Carolum Ducem Mantuæ, Montisferrati, Guastallæ, &c., Mediolani: Ex Typographia Ludovici Montiae, 1678 ([16], 104 pp., 10 folding copperplates containing Figs. 1–85; Biblioteca Nazionale Centrale di Firenze exemplar ita-bnc-mag-00001346-001). (Editio princeps; Public Domain.)

  • Ceva (1682) — Giovanni Ceva, Opuscula mathematica de potentiis obliquis, de pendulis, de vasis, et de fluminibus, Mediolani: Ex Typographia Ludovici Montiae, 1682. (Public Domain.)

  • Ceva (1692) — Giovanni Ceva, Geometria motus: opusculum geometricum in gratiam aquarum excogitatum, Bononiae: Typis HH. Antonii Pisarii, 1692. (Public Domain.)

Classical & Late Antique Authorities

  • Euclid — Stoicheia (Elements, ed. J. L. Heiberg / trans. T. L. Heath), Books I, V, VI, XI, XII; Digital Scriptorium geometor/euclid & geometor/elements.

  • Archimedes of Syracuse — De planorum aequilibriis (On the Equilibrium of Planes, Book I, Props. 4–7; Opera Omnia, ed. J. L. Heiberg); Digital Scriptorium geometor/archimedes.

  • Menelaus of Alexandria — Sphaerica, Book III, Lemma 1; Digital Scriptorium geometor/menelaus.

  • Claudius Ptolemy — Syntaxis Mathematica (Almagest), Book I, Ch. 13; Digital Scriptorium geometor/ptolemy.

  • Serenus of Antinoöpolis — De sectione cylindri (trans. Federico Commandino, Bologna: Alexander Benacius, 1566).

  • Pappus of Alexandria — Mathematicae Collectiones (Synagoge, Books VII & VIII, trans. Federico Commandino, Pesaro: Hieronymus Concordia, 1588); Digital Scriptorium geometor/pappus.

Renaissance & Seventeenth-Century Works Cited by Ceva

  • Commandino (1565) — Federico Commandino, Liber de centro gravitatis solidorum, Bologna: Ex Officina Alexandri Benacii, 1565.

  • Clavius (1589) — Christoph Clavius, S.J., Euclidis Elementorum Libri XV, Rome: Apud Bartholomaeum Grassium, 1589 (2nd rev. ed.).

  • Valerio (1604) — Luca Valerio, De centro gravitatis solidorum libri tres, Rome: Bartholomaeus Bonfadinus, 1604.

  • Cavalieri (1635) — Bonaventura Cavalieri, O.S.H., Geometria indivisibilibus continuorum nova quadam ratione promota, Bologna: Typis Clementis Ferronii, 1635.

  • Torricelli (1644) — Evangelista Torricelli, Opera geometrica, Florence: Typis Amatoris Massae & Laurentii de Landis, 1644.

  • Borelli (1661) — Giovanni Alfonso Borelli, Apollonii Pergaei Conicorum Lib. V, VI, et VII & Archimedis Assumptorum Liber, Florence: Iosephus Cocchinus, 1661.

Modern Barycentric, Historical & Rational-Trigonometric Literature

  • Möbius (1827) — August Ferdinand Möbius, Der barycentrische Calcul: ein neues Hülfsmittel zur analytischen Behandlung der Geometrie, Leipzig: Johann Ambrosius Barth, 1827.

  • Hogendijk (1995) — Jan P. Hogendijk, Al-Mu’taman ibn Hūd, 11th Century King of Saragossa and Brilliant Mathematician, Historia Mathematica 22(1) (1995), pp. 1–18.

  • Wildberger (2005) — Norman J. Wildberger, Divine Proportions: Rational Trigonometry to Universal Geometry, Sydney: Wild Egg, 2005; geometor/wildberger.