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Figures × 10 from The Euler spiral: a mathematical history by Raph Levien (2008): (1) ‘Euler’s spiral’; (2) ‘Talbot’s Railway Transition Spiral’; (3) ‘Bernoulli’s construction’; (4) ‘Euler’s drawing of his spiral, from Tabula V of the Additamentum’; (5) ‘Euler’s spiral as an elasticity problem’; (6) ‘Reconstruction of Euler’s Figure 17, with complete spiral superimposed’; (7) ‘The figure from Euler’s “De valoribus integralium”, with modern reconstruction’; (8)Cornu’s plot of the Fresnel integrals’; (9)Diffraction through a slit’; (10) ‘Euler’s spiral, rectangular elastica, and cubic parabola