A Vitruvius Inspired Criterion for the Construction of Polygons

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• 作者：Leno Liberato Mascia
• 刊名：Nexus Network Journal
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：18
• 期：2
• 页码：533-545
• 全文大小：1,135 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Architectural History and Theory
  History of Physics
  Popular Science, general
  History
  
• 出版者：Birkh盲user Basel
• ISSN：1522-4600
• 卷排序：18

文摘

A geometric analysis carried out on three homonymous works, known as the Vitruvian man, by Leonardo da Vinci, Giacomo Andrea da Ferrara and Gulielmo Philandro has identified the equilateral triangle as a common feature, differing only with respect to the central position of the apex. Considerations regarding the intended purpose of the tangential outer arc in the Ferrara’s sketch and the possible implications of the two secants, drawn from the mid-point at the base to its intersections with the sides of the square, have provided the basis for a general construction of polygons. The underlying criterion relies on the parameters that define the geometric components of the arc to establish the position of the vertices of the polygon. The fundamental nature of the construction was confirmed through a comparison with an existing procedure by Fletcher, named “squaring the circle”.KeywordsVitruvian ManGiacomo Andrea da FerraraGuglielmo PhilandroLeonardo da VinciVitruvian ManGeometrical constructionsPolygons