Santiago Huerta Research E. T.S. de Arquitectura Oval Domes: Universidad Politécnica de Madrid Avda. Juan de Herrera, 4 History, Geometry and Mechanics 28040 Madrid SPAIN Abstract. An oval dome may be defined as a dome whose
[email protected] plan or profile (or both) has an oval form. The word “oval” Keywords: oval domes, history of comes from the Latin ovum, egg. The present paper contains engineering, history of an outline of the origin and application of the oval in construction, structural design 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. Introduction An oval dome may be defined as a dome whose plan or profile (or both) has an oval form. The word Aoval@ comes from the Latin ovum, egg. Thus, an oval dome is egg-shaped. The first buildings with oval plans were built without a predetermined form, just trying to enclose a space in the most economical form. Eventually, the geometry was defined by using circular arcs with common tangents at the points of change of curvature. Later the oval acquired a more regular form with two axes of symmetry. Therefore, an “oval” may be defined as an egg-shaped form, doubly symmetric, constructed with circular arcs; an oval needs a minimum of four centres, but it is possible also to build ovals with multiple centres. The preceding definition corresponds with the origin and the use of oval forms in building and may be applied without problem up to, say, the eighteenth century.