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Daily Overview |
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HPM1: History and Philosophy of Mathematics Location: M627 Session Chair: Peter Ullrich Session Chair: Thomas Skill | |
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Early constructions of basket-handle arches TU Ilmenau, Germany While semicircular arches have dominated Roman architecture, their low span-to-rise ratio of 2 is disadvantageous for the building of bridges. Basket-handle arches, which have been in wide-spread use since the 17th century, improve upon this. From a mathematical perspective, such arches are half ovals. We present two geometrical constructions for basket-handle arches with three centres which do not appear in the literature on ovals, one attributed to Heron of Alexandria and one to Huygens by Ernest Degrand and Jean Résal in their book "Ponts en maçonnerie" (1887). It remains an open question, however, who in fact did invent these constructions and when, as neither Heron's nor Huygens's opera omnia appear to contain either of them. | |
