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Mathematical Treasure: Gérard Thibault’s Académie de l'Espée

Author(s): 
Frank J. Swetz (The Pennsylvania State University)

The early modern Spanish school of fencing, La Destreza, used geometrical principles to define circles of attack and defense. By thinking of himself as the diameter of a circle, the swordsman used small movements of his foot, hand, or body within the circle to force his opponent to open up and become vulnerable. Although the practices are most attributed to two authors, Jerónimo Sánchez de Carranza (died ca 1608) and Luis Pacheco de Narváez (1570–1640), Belgian fencing master Gérard Thibault also described and illustrated the techniques in his 1628 manual, Académie de l'Espée. A detail from one of his plates is shown below.

Detail from image in Gerard Thibault's 1628 fencing manual.

The work’s title page:

Title page of Gerard Thibault's 1628 fencing manual.

The frontispiece depicts Thibault alongside the tools of the geometer:

Frontispiece of Gerard Thibault's 1628 fencing manual.

The circle within which a fencer was to maneuver:

Diagram of a fencer's circle from Thibault's 1628 fencing manual.

Fencers with their geometrical movements diagrammed on the floor:

Illustration of fencers following geometrical patterns from Thibault's 1628 fencing manual.

Reference

Lankin, Evgeny. 2015, May 18. Дестреза (Destreza). https://studfile.net/preview/3963413/.

Thibault’s manual has been digitized by GoogleBooks.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Gérard Thibault’s Académie de l'Espée," Convergence (December 2022)