On a new type of oscillation
This paper contains the first analysis of a single harmonically-driven oscillator. By gradual trials and transformations of cases, Euler discovers the phenomenon of resonance mathematically, providing an example of a purely mathematical rediscovery of a major physical phenomenon. (Based on Clifford Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances.)
Original Source Citation
Commentarii academiae scientiarum Petropolitanae, Volume 11, pp. 128-149.
Opera Omnia Citation
Series 2, Volume 10, pp.78-97.