Bibliography & Archival Witnesses

Primary Editions of Dürer

  • Dürer, Albrecht (1525). Underweysung der Messung, mit dem Zirckel un[d] Richtscheyt, in Linien Ebnen unnd gantzen Corporen, durch Albrecht Dürer zu sammen getzoge[n], und zu nutz alle[n] kunstliebhabenden mit zu gehörigen figuren, in truck gebracht, im jar. M.D.XXV. Nuremberg: [Hieronymus Andreae]. Copy-text witness: SLUB Dresden, PPN 27778509X (S.B. 618), collated with the twice-proofread diplomatic edition on German Wikisource.

  • Dürer, Albrecht (1528). Hierinn sind begriffen vier Bücher von menschlicher Proportion. Nuremberg: Hieronymus Formschneider.

  • Dürer, Albrecht, trans. Joachim Camerarius (1532). Alberti Dureri Clarissimi Pictoris et Geometrae Institutionum Geometricarum Libri Quatuor. Paris: Christian Wechel (reprinted 1535; Arnhem, 1606).

  • Dürer, Albrecht (1538). Underweysung der Messung, mit dem Zirckel und Richtscheyt, in Linien Ebnen unnd gantzen Corporen (2nd enlarged posthumous edition). Nuremberg: Hieronymus Formschneider.

Classical, Medieval & Renaissance Sources

  • Abū al-Wafāʾ al-Būzjānī (c. 990). Kitāb fīmā yaḥtāju ilayhi al-ṣāniʿ min aʿmāl al-handasa (On Those Parts of Geometry Needed by Craftsmen). Baghdad.

  • Alberti, Leon Battista (1435–1436). De pictura / Della pittura. Florence.

  • Apollonius of Perga (c. 200 BC). Conics (Konika, Books I–VIII). Alexandria / Pergamon.

  • Archimedes of Syracuse (c. 225 BC). On Spirals (Peri helikon) and Measurement of a Circle (Kyklou metresis). Syracuse.

  • Euclid of Alexandria (1505 / 1908). Elements (Stoicheia, Books I–XIII). Latin edition by Bartolomeo Zamberti (Venice: Joannes Tacuinus, 1505 — owned by Dürer in 1507); English scholarly edition by T. L. Heath (Cambridge University Press, 1908; GEOMETOR euclid / elements).

  • Kepler, Johannes (1604). Ad Vitellionem Paralipomena, Quibus Astronomiae Pars Optica Traditur, Cap. IV (De Coni sectionibus). Frankfurt: Claudius Marnius.

  • Kepler, Johannes (1619). Harmonices Mundi Libri V, Liber II (De Congruentia Figurarum Harmonicarum). Linz: Johann Planck.

  • Pacioli, Luca, illus. Leonardo da Vinci (1509). Divina Proportione: Opera a tutti gl’ingegni perspicaci e curiosi necessaria. Venice: Paganino de’ Paganini (GEOMETOR pacioli).

  • Pappus of Alexandria (c. 340 AD). Mathematical Collection (Synagoge, Books III, V & VII). Alexandria (GEOMETOR pappus).

  • Plato (c. 360 BC). Timaeus (53c–56c). Athens (GEOMETOR plato).

  • Roriczer, Matthäus (c. 1487). Geometria Deutsch. Regensburg.

  • Vitruvius Pollio, Marcus (c. 25 BC). De Architectura Libri Decem (Books III, IX & X). Rome.

Modern Mathematical & Historical Studies

  • Gauss, Carl Friedrich (1801). Disquisitiones Arithmeticae, Section VII (De aequationibus circuli sectiones definientibus). Leipzig: Gerhard Fleischer.

  • Klein, Felix (1895). Vorträge über ausgewählte Fragen der Elementargeometrie (Famous Problems of Elementary Geometry). Leipzig: B. G. Teubner.

  • Lemoine, Émile (1902). Géométrographie ou Art des constructions géométriques. Paris: C. Naud (GEOMETOR lemoine).

  • Monge, Gaspard (1799). Géométrie descriptive. Paris: Baudouin.

  • Panofsky, Erwin (1943 / 1955). The Life and Art of Albrecht Dürer. Princeton University Press.

  • Staigmüller, Hermann (1891). Dürer als Mathematiker. Stuttgart: Königliches Realgymnasium.

  • Thompson, D’Arcy Wentworth (1942). On Growth and Form (2nd rev. ed., Ch. XVII: On the Theory of Transformations). Cambridge University Press (GEOMETOR thompson).

  • Wantzel, Pierre Laurent (1837). Recherches sur les moyens de reconnaître si un Problème de Géométrie peut se résoudre avec la règle et le compas. Journal de Mathématiques Pures et Appliquées 2, 366–372.