Index Nominum (Persons)

Prosopographical register of the 26 geometers, staticians, natural philosophers, printers, patrons, and modern mathematical heirs referenced across GEOMETOR Ceva.

Classical & Medieval Authorities

  • Hippocrates of Chios (fl. c. 440 BC) — Pioneer of curvilinear lune quadrature, re-proved synthetically by Ceva in Appendix Geometrica, Proposition II.

  • Euclid of Alexandria (fl. c. 300 BC) — Author of the Elements (Stoicheia), Books I, V, VI, XI, and XII, supplying the proportional and area-ratio foundations of Caravaggio Jr.’s Prop. VI and Ceva’s Appendix Geometrica.

  • Archimedes of Syracuse (c. 287 – c. 212 BC) — Author of On the Equilibrium of Planes (Equiponderants I.6–7), Quadrature of the Parabola, and On the Sphere and Cylinder; foundational authority for Ceva’s Statica Constructio.

  • Apollonius of Perga (c. 240 – c. 190 BC) — Author of the Conics, celebrated in Ceva’s Prooemium and applied across Liber Secundus and the Appendix Geometrica.

  • Menelaus of Alexandria (c. 70 – c. 140 AD) — Author of the Sphaerica (Book III, Lemma 1), whose collinear transversal theorem Ceva re-proves by two-lever statics in Liber Primus, Elementum I and Proposition VIII.

  • Claudius Ptolemy (c. 100 – c. 170 AD) — Author of the Almagest (Book I.13), transmitting the planar and spherical Menelaus sector configuration in compound-ratio form.

  • Pappus of Alexandria (c. 290 – c. 350 AD) — Author of the Synagoge (Books VII & VIII), preserving ancient projective harmonic invariance and mechanics.

  • Serenus of Antinoöpolis (fl. 4th century AD) — Author of On the Section of a Cylinder, cited by Ceva in Liber Secundus, Lemma I to project tangent ratios from circles onto ellipses.

  • Yusuf al-Mu’taman ibn Hud (d. 1085) — Hudid King of Zaragoza whose Arabic Kitāb al-Istikmāl contained the earliest surviving synthetic proof of the cevian concurrency theorem (unknown in Latin Europe and rediscovered by J. P. Hogendijk in 1985).

Renaissance & Seventeenth-Century Circle

  • Federico Commandino (1509 – 1575) — Translator of Euclid, Archimedes, Apollonius, Serenus (1566), and Pappus (1588), and author of Liber de centro gravitatis solidorum (1565); cited by Ceva on compound ratios and solid centroids.

  • Christoph Clavius, S.J. (1538 – 1612) — Jesuit mathematician of the Collegio Romano, cited by Ceva in Liber Primus on compound-ratio manipulation (Euclidis Elementorum Libri XV).

  • Luca Valerio (1553 – 1618) — Author of De centro gravitatis solidorum libri tres (1604), hailed by Ceva in Appendix Geometrica as “subtilissimus nostri æui Archimedes” for the $5 : 3$ hemisphere centroid.

  • Bonaventura Cavalieri, O.S.H. (1598 – 1647) — Author of Geometria indivisibilibus continuorum (1635); credited in Ceva’s Prooemium with curing his youthful circle-quadrature obstinacy, and critically bounded on curved surfaces at the close of the Appendix Geometrica.

  • Evangelista Torricelli (1608 – 1647) — Author of Opera geometrica (1644), cited in Ceva’s Appendix Geometrica on the $2 : 1$ paraboloid centroid and the acute infinite hyperbolic solid.

  • Giovanni Alfonso Borelli (1608 – 1679) — Pisan mathematician and editor of Apollonius Books V–VII (1661), mentor of Donato Rossetti, and cited by Ceva in Liber Secundus, Lemma I.

  • Donato Rossetti (1633 – 1686) — Canon of Livorno and Professor at the University of Pisa, gratefully honored in Ceva’s 1678 Prooemium as his beloved teacher.

  • Giovanni Ceva (1647 – 1734) — Milanese geometer, statician, and court mathematician at Mantua; author of De lineis rectis se invicem secantibus statica constructio (Milan, 1678), Opuscula mathematica (1682), Geometria motus (1692), and De re numaria (1711).

  • Tommaso Ceva, S.J. (1648 – 1737) — Younger brother of Giovanni Ceva and long-serving professor of mathematics at the Jesuit Brera College in Milan.

  • Ludovico Monza (fl. 1650 – 1685) — Master Milanese printer (Ex Typographia Ludovici Montiae) of the 1678 editio princeps, noted for setting algebraic addition with the obelus/dagger † (A † F).

  • Ferdinando Carlo Gonzaga-Nevers (1652 – 1708) — Tenth Duke of Mantua, Montferrat, and Guastalla, patron and dedicatee of Ceva’s 1678 treatise.

  • Pietro Paolo Caravaggio Jr. (1658 – 1723) — Son of Ceva’s Milanese mentor Pietro Paolo Caravaggio Sr., credited in Liber Primus, Proposition VI (tab. 1. fig. 10) with the pure Euclidean parallel-line proof of cevian concurrency.

Modern Projective & Barycentric Heirs

  • Lazare Nicolas Marguerite Carnot (1753 – 1823) — Author of Essai sur la théorie des transversales (1806), reviving and extending Ceva’s and Menelaus’s theorems across polygons and algebraic curves.

  • Joseph Diez Gergonne (1771 – 1859) — Projective geometer after whom the incircle-contact concurrency point $X(7)$ (proved in Ceva’s 1678 Liber Secundus, Prop. I) is named.

  • August Ferdinand Möbius (1790 – 1868) — Author of Der barycentrische Calcul (1827), formalizing Ceva’s positive and negative static weights (F - A) into homogeneous barycentric coordinates.

  • Christian Heinrich von Nagel (1803 – 1882) — Investigator of the excircle-contact point $X(8)$, isotomic conjugate of $X(7)$ via Ceva’s Liber Secundus, Prop. I Corollarium.

  • Clark Kimberling (b. 1942) — Creator of the Encyclopedia of Triangle Centers (ETC, geometor/etc), indexing tens of thousands of barycentric and isotomic concurrencies governed by Ceva’s Theorem.