Bibliography & Cited Works

Classical, Patristic, Scholastic & Renaissance Sources in De Divina Proportione

Systematic register of classical treatises, Euclidean propositions, and philosophical works cited by Fra Luca Pacioli across De Divina Proportione (1509), with direct backlinks to every chapter occurrence.

Alberti, Leon Battista (1404 – 1472)

See biographical entry: Alberti, Leon Battista.

De Re Aedificatoria Libri Decem (alberti:de-re-aedificatoria)

Archimedes of Syracuse (c. 287 – 212 BC)

See biographical entry: Archimedes of Syracuse.

Dimensio Circuli (On the Measurement of the Circle) (archimedes:dimensio-circuli)

  • General reference (archimedes:dimensio-circuli) — Cited in Comp. Cap. 62 (Notes) [1509 Folios: 0053, 0054]

Aristotle of Stagira (384 – 322 BC)

See biographical entry: Aristotle of Stagira.

Analytica Posteriora (aristotle:anal-post)

De Caelo et Mundo (aristotle:de-caelo)

  • III.8 (aristotle:de-caelo:III.8) — Cited in Comp. Cap. 5 (Notes) [1509 Folios: 0005, 0006, 0022, 0023]

Metaphysica (aristotle:met)

Augustine of Hippo, St. (354 – 430 AD)

See biographical entry: Augustine of Hippo, St. (Aurelius Augustinus).

De Civitate Dei (augustine:de-civitate-dei)

Averroes (Ibn Rushd, 1126 – 1198)

See biographical entry: Averroes (Ibn Rushd).

Commentarium Magnum in Aristotelis Metaphysicam (II, comm. 16) (averroes:met)

Bartolus of Sassoferrato (1313 – 1357)

See biographical entry: Bartolus of Sassoferrato (Bartolo da Sassoferrato).

Tractatus de Fluminibus seu Tyberiadis (La Teberina) (bartolus:tyberiadis)

Sacra Scriptura (Biblia Vulgata)

Liber Sapientiae (7:13; 11:21) (biblia:sapientia)

Brocheneck (fl. mid-19th century)

See biographical entry: Brocheneck.

Die männliche und weibliche Normalgestalt (brocheneck:normalgestalt)

Campanus of Novara (c. 1220 – 1296)

See biographical entry: Campanus of Novara (Giovanni Campano).

Commentaria in Elementa Euclidis (IX.16, XIV.10) (campanus:euclid)

Caro, Annibale (1507 – 1566)

See biographical entry: Caro, Annibale.

Apologia degli Accademici di Banchi di Roma (‘Ceneraccio’, 1558) (caro:apologia)

Carus, Carl Gustav (1789 – 1869)

See biographical entry: Carus, Carl Gustav.

Die Proportionslehre der menschlichen Gestalt (Leipzig, 1854) (carus:proportionslehre)

Eitelberger von Edelberg, Rudolf (1817 – 1885) & Ilg, Albert (1847 – 1896)

See biographical entry: Eitelberger von Edelberg, Rudolf.

See biographical entry: Ilg, Albert.

Quellenschriften für Kunstgeschichte und Kunsttechnik des Mittelalters und der Neuzeit (eitelberger:quellenschriften)

Euclid of Alexandria (fl. c. 300 BC)

See biographical entry: Euclid of Alexandria (identified by Pacioli as Euclid of Megara).

Elementa (Libri XV, tr. Campanus / Pacioli 1509) (euclid:elements)

Harless, Emil (1820 – 1862)

See biographical entry: Harless, Emil.

Lehrbuch der plastischen Anatomie (Stuttgart, 1856–1858) (harless:anatomie)

Hypsicles of Alexandria (c. 190 – c. 120 BC)

See biographical entry: Hypsicles of Alexandria.

Elementa Liber XIV (On the Regular Icosahedron and Dodecahedron) (hypsicles:liber-xiv)

Kepler, Johannes (1571 – 1630)

See biographical entry: Kepler, Johannes.

Harmonices Mundi (1619) (kepler:harmonices-mundi)

  • General reference (kepler:harmonices-mundi) — Cited in Comp. Cap. 50 (Notes) [1509 Folios: 0044, 0045]

Leonardo da Vinci (1452 – 1519)

See biographical entry: Leonardo da Vinci.

De Moto Locale, delle Percussioni e Pesi (leonardo:moto-locale)

  • General reference (leonardo:moto-locale) — Cited in Comp. Cap. 1 (IT) [1509 Folios: 0017]

Libro di Pittura e Movimenti Humani (Trattato della Pittura / Malerbuch) (leonardo:pittura)

Libri, Guillaume (1803 – 1869)

See biographical entry: Libri, Guillaume (Guglielmo Libri Carucci dalla Sommaja).

Histoire des sciences mathématiques en Italie (Vol. III, Paris, 1840) (libri:histoire)

Montucla, Jean-Étienne (1725 – 1799)

See biographical entry: Montucla, Jean-Étienne.

Histoire des mathématiques (montucla:histoire)

Pacioli, Fra Luca, O.F.M. (c. 1447 – 1517)

See biographical entry: Pacioli, Fra Luca, O.F.M..

Tractato de l’Architectura (1509) (pacioli:architectura)

Compendio de Divina Proportione (1498 / 1509) (pacioli:divina-proportione)

Summa de Arithmetica, Geometria, Proportioni et Proportionalita (Venice, 1494) (pacioli:summa)

Piero della Francesca (c. 1415 – 1492)

See biographical entry: Piero della Francesca (Maestro Pietro de li Franceschi).

Vatican Library Manuscript (Cod. Vat. Lat. 3129 cited by Winterberg) (piero:cod-vat-lat-3129)

Libellus de Quinque Corporibus Regularibus (Vat. Urb. lat. 632) (piero:libellus)

De Prospectiva Pingendi (piero:prospectiva)

Plato of Athens (428/427 – 348/347 BC)

See biographical entry: Plato of Athens.

Timaeus (53c–56c, On the Five Cosmic Solids) (plato:timaeus)

Ptolemy, Claudius (c. 100 – c. 170 AD)

See biographical entry: Ptolemy, Claudius.

Almagest (Syntaxis Mathematica) (ptolemy:almagest)

Cosmographia (Geographia) (ptolemy:cosmographia)

  • General reference (ptolemy:cosmographia) — Cited in Comp. Cap. 3 (IT) [1509 Folios: 0021]

Quetelet, Adolphe (1796 – 1874)

See biographical entry: Quetelet, Adolphe.

Anthropométrie, ou Mesure des différentes facultés de l’homme (1870) (quetelet:anthropometrie)

Schmidt, Carl (fl. 1849)

See biographical entry: Schmidt, Carl.

Proportionsschlüssel: Neues System der Verhältnisse des menschlichen Körpers (Stuttgart, 1849) (schmidt:proportionsschluessel)

Serlio, Sebastiano (1475 – c. 1554)

See biographical entry: Serlio, Sebastiano.

I Sette Libri dell’Architettura (serlio:architettura)

Tartaglia, Niccolò (1499/1500 – 1557)

See biographical entry: Tartaglia, Niccolò (Niccolò Fontana).

General Trattato di Numeri et Misure (Venice, 1556–1560) (tartaglia:general-trattato)

Trost, Johann Jacob (fl. 1854 – 1866)

See biographical entry: Trost, Johann Jacob.

Die Proportionslehre Dürer’s nach ihren wesentlichen Bestimmungen (Wien, 1859) (trost:proportionslehre)

Vasari, Giorgio (1511 – 1574)

See biographical entry: Vasari, Giorgio.

Le Vite de’ più eccellenti pittori, scultori, e architettori (vasari:vite)

Vitruvius Pollio, Marcus (1st century BC)

See biographical entry: Vitruvius Pollio, Marcus.

De Architectura Libri Decem (vitruvius:de-arch)

Winterberg, Constantin (fl. 1887 – 1889)

See biographical entry: Winterberg, Constantin.

Fra Luca Pacioli: Divina Proportione — Die Lehre vom Goldenen Schnitt (Wien: Carl Graeser, 1889) (winterberg:divina-proportione-1889)

Das Malerbuch Lionardo da Vinci’s (Jahrbücher der königlich preussischen Kunstsammlungen, 1887) (winterberg:malerbuch-1887)

Zeising, Adolf (1810 – 1876)

See biographical entry: Zeising, Adolf.

Neue Lehre von den Proportionen des menschlichen Körpers (Leipzig, 1854) (zeising:proportionen)