The loxodromic curves in Architecture
Keywords:
Surfaces of revolution, Meridians, Parallels, Stereographic projection, Polar equation, Cylinder of revolution, Elliptical cylinderAbstract
In this paper the authors explain the geometrical properties of the loxodromic curves and show how their properties have been used in many architectural works. For this reason, we will show several examples of architectures in which the bricks, which form these constructions, are arranged along some loxodromic curves. This fact is not surprising since, as we shall see, these lines are identified by a rule that makes it easy their determination during application and useful their use.
Le curve Lossodromiche in Architettura
In questa nota si espongono le proprietà geometriche delle curve lossodromiche e si mostra come le loro proprietà siano state utilizzate in moltissime opere architettoniche. Per questo motivo mostreremo diversi esempi di architetture in cui i mattoni, che le compongono, si dispongono lungo delle lossodromiche. Questo fatto non deve meravigliare poiché, come vedremo, queste linee sono individuate da una regola che rende semplice la loro determinazione in fase applicativa ed utile il loro uso.
Parole Chiave: Superfici di rotazione. Meridiani. Paralleli. Proiezione stereografica. Equazione polare. Cilindri circolari ed ellittici.
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