Diagrams for Proportions

(16) Das Kunst und Lere Büchlin / Sebalden Behems. Malen und Reissen zu lernen / Nach rechter Proportion / Maß und außteylung des Circkels. … (Frankfurt a. M., 1552), SLUB Dresden, Art. plast. 776, fol. E3v
(16) Das Kunst und Lere Büchlin / Sebalden Behems. Malen und Reissen zu lernen / Nach rechter Proportion / Maß und außteylung des Circkels. … (Frankfurt a. M., 1552), SLUB Dresden, Art. plast. 776, fol. E3v
(17/1) Hans Baldung Grien, Portrait of the Dead Erasmus of Rotterdam, 11–12 July, 1536, 14 x 14.2 cm, silverpoint on prepared paper, inv. no. U.I.56, Kupferstichkabinett, Amerbach-Kabinett / Kunstmuseum Basel
(17/1) Hans Baldung Grien, Portrait of the Dead Erasmus of Rotterdam, 11–12 July, 1536, 14 x 14.2 cm, silverpoint on prepared paper, inv. no. U.I.56, Kupferstichkabinett, Amerbach-Kabinett / Kunstmuseum Basel
(17/2) UV image of the drawing
(17/2) UV image of the drawing

There is no written evidence that Dürer and other artists used the help of construction frames. But there is a clue in the manual for drawing horses, Die Proporcion der Ross, by Hans Sebald Beham (1500–1550), published in Nuremburg in 1528. Although the work was immediately confiscated on suspicion of plagiarism, Beham later integrated his instructions in Das Kunst und Lere Büchlin of 1546 / 1552. He believed that for art it was necessary once again to learn to measure with the compass and work with construction lines.

 

Beham recommended constructing proportion diagrams with nine fields. Within the grid, further subdividing construction lines and a diagonal should be drawn as well as “Pünctlein” (little dots), to be placed on precisely designated lines. From these dots the strokes of a compass would pre-determine specific contour segments of a horse, which would later be expanded into the whole outline of the animal’s body. [1]

 

A further indication of the actual use of the construction methods presented by Dürer is provided by a drawing by Hans Baldung, known as Grien (1484 or 1485–1545), depicting the dead Erasmus of Rotterdam. In this study, Baldung placed an (irregular) grid over the head of the deceased. He inscribed a circle within it and intersected it with diagonals. In doing so, the artist verified the proportions of the dead man, apparently in search of regularity and harmony. A UV image makes this procedure more clearly visible. [2]

 

In the work of the Italian sculptor and art theorist Lorenzo Ghiberti (1378 – 1455) can also be found a clue about grids for heads. In the third commentary of the unfinished Commentarii, which discusses a modular system for the body of a man, is written: “(...) we begin with the measure of the head and draw each section of it in its height and divide said head into nine squares (...).” [3] 



[1] Boris RÖHRL, ‘Die Transformation der mittelalterlichen planimetrischen Proportionsschemata zu den neuzeitlichen empirischen Proportionslehren’, Marburger Jahrbuch für Kunstwissenschaft 39 (2012), 77–92.

[2]  Christian MÜLLER does not arrive at an understanding of the significance of the geometric lineaments.: “The significance of the circle, the grid, and the diagonals remains unclear. (…) Perhaps the artist attempted to determine the proportions by means of the grid laid over the drawing and the circle enclosing the head.” Kunstmuseum Basel (ed.), Albrecht Dürer and His Circle. Hans Baldung Grien, Hans Schäufelein, Hans Süss von Kulmbach, Hans Springingklee, Hans Leu the Younger, edited by Christian MÜLLER, Berlin/Boston 2025, cat. no. 32, Hans Baldung Grien, Portrait of the Dead Erasmus of Rotterdam, p. 176.

[3] Der dritte Kommentar Lorenzo Ghibertis. Naturwissenschaften und Medizin in der Kunsttheorie der Frührenaissance trans. with an introduction and commentary by Klaus BERGDOLT (Weinheim, 1988), 554, lines 14–16: “(...) cominceremo alle misure della testa et cosi explicheremo per l'altitudine ogni sua parte, partiremo in quadri nove detta testa (...).” [English: Lorenzo GHIBERTI, The Commentaries, trans. Courtauld Institute of Art (London, 1985)].