Part II: Tractato de l’Architectura (Prohemio & Chapters I–XX)

Dedicated to the Stonemasons, Sculptors, and Disciples of Borgo Sansepolcro (1509)

Dedicated to Pacioli's beloved disciples and pupils of Borgo Sansepolcro (1509 Paganini Folios 0061–0082, f. 23r–f. 33v). Each chapter is presented in four synchronized companion tracks: English, Italiano (1509), Deutsch (Winterberg 1889), and Critical Notes.

Conspectus Capitum (Part II)

  • Prohemio (Dedication) (Folio 0061–0065 (f. 23r–f. 25r)): Epistle Dedicatory to His Dearest Disciples and Pupils—Cesare dal Sasso, Cera del Cera, Rainer Francesco di Pippo, Bernardino and Marsilio da Monte, Girolamo del Fecciarino, and Companions of Borgo Sansepolcro, Worthy Stonemasons and Zealous Followers of the Sculptural and Architectural Art—by Fra Luca Pacioli, Their Fellow Countryman of the Order of Friars Minor and Professor of Sacred Theology. [English · Italiano · Deutsch · Notes]

  • Cap. I (Folio 0065–0067 (f. 25r–f. 26r)): On the Measure and Proportions of the Human Body, of the Head, and of Its Other Members as the Model and Simulacrum of Architecture. [English · Italiano · Deutsch · Notes]

  • Cap. II (Folio 0067–0068 (f. 26r–f. 26v)): On the Distance from the Profile to the Nape (Cotozzo) of the Said Head, on the Proportions of the Eye and Ear, and on the Painter’s Perspective Net (Rete). [English · Italiano · Deutsch · Notes]

  • Cap. III (Folio 0068–0069 (f. 26v–f. 27r)): On the Proportion of the Whole Well-Disposed Human Body to Its Head and Other Members According to Length and Breadth, and on the Perfect Numbers Six, Ten, and Sixteen. [English · Italiano · Deutsch · Notes]

  • Cap. IV (Folio 0069–0070 (f. 27r–f. 27v)): On Round Columns with Their Bases, Capitals, and Pedestals or Stylobates, and How the Corinthian Capital and Its Four Tetrants Are Constructed. [English · Italiano · Deutsch · Notes]

  • Cap. V (Folio 0071 (f. 28r)): On the Length (Height), Thickness, Entasis, and Base (Spira) of the Round Column. [English · Italiano · Deutsch · Notes]

  • Cap. VI (Folio 0071–0072 (f. 28r–f. 28v)): On the Order and Construction of the Stylobate (Pedestal or Base-Pillar) of the Column, the Stereobate Foundation, the Ancient Roman Alphabet, and the Three Sets of Sixty Polyhedra Models Made by Pacioli alongside Leonardo da Vinci. [English · Italiano · Deutsch · Notes]

  • Cap. VII (Folio 0073–0074 (f. 29r–f. 29v)): Wherein the Three Species of Columns—Ionic, Doric, and Corinthian—Differ from One Another, and Vitruvius’s Account of Their Origin and of Callimachus’s Invention of the Corinthian Capital. [English · Italiano · Deutsch · Notes]

  • Cap. VIII (Folio 0074–0075 (f. 29v–f. 30r)): Where Columns Most Duly Made by the Ancients and Moderns Are Found Today in Italy, Critique of Leon Battista Alberti, and the Most Perfect Column in Venice at the Ca’ Grande (Frari). [English · Italiano · Deutsch · Notes]

  • Cap. IX (Folio 0075–0076 (f. 30r–f. 30v)): On Lateral (Prismatic) Columns in Architecture, and on the Quadrature of the Circle. [English · Italiano · Deutsch · Notes]

  • Cap. X (Folio 0076 (f. 30v)): On Round and Lateral Pyramids in Architecture, and Praise of Leonardo da Vinci's Incomparable Drawings. [English · Italiano · Deutsch · Notes]

  • Cap. XI (Folio 0076 (f. 30v)): On the Origin of the Letters of Every Nation, Egyptian Hieroglyphs on Roman Obelisks, the Anecdote on the Piazza San Marco in Venice, and Tribute to the Late Cardinal Galeotto Franciotti della Rovere. [English · Italiano · Deutsch · Notes]

  • Cap. XII (Folio 0077 (f. 31r)): On the Orders and Spacing (Intercolumniations / Tetrants) of Round Columns in Buildings, and How the Architect Must Adapt Symmetry to the Site and Load (Vitruvius Book V). [English · Italiano · Deutsch · Notes]

  • Cap. XIII (Folio 0078 (f. 31v)): On the Intervals Between One Triglyph and Another. [English · Italiano · Deutsch · Notes]

  • Cap. XIV (Folio 0078 (f. 31v)): On the Epistyle—Called the Architrave by the Moderns—and Why Excessive Intercolumniations Crack Stone Architraves (Vitruvius Book III). [English · Italiano · Deutsch · Notes]

  • Cap. XV (Folio 0079 (f. 32r)): On the Zophorus (Frieze) Above the Epistyle. [English · Italiano · Deutsch · Notes]

  • Cap. XVI (Folio 0079 (f. 32r)): On the Composition and Mouldings of the Cornice (Cornicione). [English · Italiano · Deutsch · Notes]

  • Cap. XVII (Folio 0079 (f. 32r)): On the Site of the Triglyphs and the Union of All the Preceding Parts in the Temple Portal Called Porta Speciosa (Plate 0185). [English · Italiano · Deutsch · Notes]

  • Cap. XVIII (Folio 0080 (f. 32v)): How Stonemasons and Sculptors Are Highly Commended for Placing the Regular and Dependent Polyhedra in Their Works, and How Phidias Placed the Icosahedron in the Temple of Ceres in Rome. [English · Italiano · Deutsch · Notes]

  • Cap. XIX (Folio 0080–0081 (f. 32v–f. 33r)): How the Architect Must Govern Himself in Cramped and Irregular Sites, Why Continuous Geometric Proportion Is Wider Than Discrete Numerical Proportion, and Praise of Master Piero della Francesca. [English · Italiano · Deutsch · Notes]

  • Cap. XX (Folio 0081–0082 (f. 33r–f. 33v)): On Columns Placed Above Other Columns in Multi-Story Buildings (Vitruvius Book V), the 1498 Disputation in the Castello Sforzesco with Count Onofrio Paganini of Brescia, and Colophon of the 1509 Venice Edition. [English · Italiano · Deutsch · Notes]

Prohemio & Chapters I–XX (English)