2007
DOI: 10.1007/s00004-007-0040-3
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Oval Domes: History, Geometry and Mechanics

Abstract: Abstract. An oval dome may be defined as a dome whose plan or profile (or both) has an oval form. The word "oval" comes from the Latin ovum, egg. The present paper contains an outline of the origin and application of the oval in historical architecture; a discussion of the spatial geometry of oval domes, that is, the different methods employed to lay them out; a brief exposition of the mechanics of oval arches and domes; and a final discussion of the role of geometry in oval arch and dome design.

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Cited by 53 publications
(9 citation statements)
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“…12b). This oval design differs from the traditional medieval method of fixed ratios, and although we cannot rule out the possibility of it being a common practice in the workshops, the fact is that we have not been able to identify any precedents (Gentil 1996;Huerta 2007). A drawing from practically the same date as our vault, attributed to Baldassare Peruzzi and dated to before 1532, shows an oval traced free-hand from two perfect, contiguous squares (Huppert 2014: 97).…”
Section: Analysis Of the Geometric Design Of The Ribsmentioning
confidence: 88%
“…12b). This oval design differs from the traditional medieval method of fixed ratios, and although we cannot rule out the possibility of it being a common practice in the workshops, the fact is that we have not been able to identify any precedents (Gentil 1996;Huerta 2007). A drawing from practically the same date as our vault, attributed to Baldassare Peruzzi and dated to before 1532, shows an oval traced free-hand from two perfect, contiguous squares (Huppert 2014: 97).…”
Section: Analysis Of the Geometric Design Of The Ribsmentioning
confidence: 88%
“…Namely, if some structure (e.g. an arch, a vault or a framework) is stable (in equilibrium), then the structure formed by an affine transformation (mapping by parallel projecting rays) of the first one is also stable (Huerta 2007(Huerta , 2010.…”
Section: Thrust Line and The Concept Of Thrust Surfacementioning
confidence: 99%
“…The geometry of an oval dome is much more complex than that of the usual dome with a central vertical axis of symmetry… the architect would have to think first in a general way of parameters which define the overall form of the intrados of the dome: the relationship between the two axes of the oval plan, the relation between the height and the span, and the profile of the dome. All these parameters must have a certain relation with one another (Huerta 2007) (Fig. 15).…”
Section: The Domementioning
confidence: 99%
“…If the longitudinal section of the dome is a semi-oval, in order to match the geometry of the plan, then the dome intrados is a surface of revolution around the major axis. Any cross section is thus a semicircle, ''and by placing semi-circular transverse centring the dome may be easily built by successive rings, until it is closed'' (Huerta 2007).…”
Section: The Domementioning
confidence: 99%