41:. He correctly assumed a central neutral axis and linear stress distribution from tensile at the top face to equal and opposite compression at the bottom, thus deriving a correct elastic section modulus of the cross sectional area times the section depth divided by six. Parent's work had little impact, and it was many more years before scientific principles were regularly applied to the analysis of the strength of beams in bending.
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Parent had the idea to represent any surface by means of an equation between the three coordinates to any of its points. He derived the correct formula for bending of
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Loria, G. (1902). Sketch of the origin and development of geometry prior to 1850. The Monist (13)1 p. 101.
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