A PLANAR MACHINE FOR THE COMPLEX EXPONENTIAL


Pietro Milici

Abstract: Mechanical devices for tracing curves offer a tangible approach to geometry, complementing symbolic abstraction with physical construction. Starting from the historical machine for the real exponential, we introduce a planar mechanism that solves f = f  in the complex domain, with a natural extension of the real case. To enhance accessibility and visualization, the behavior of the machine is illustrated using Dynamic Geometry simulations.

Keywords: complex exponential, mathematical machines, history of scientific instruments, dynamic geometry system, mathematics education.

MSC: 51M15, 97I80, 01A50.

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DOI   10.56082/annalsarscimath.2025.3.105

† pietro.milici@unime.it, University of Messina, Department of Mathematics and Computer Sciences, Physical Sciences and Earth Sciences, Viale Ferdinando Stagno d’Alcontres 31 – 98166 Messina, Italy


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 17 no 3, 2025