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Ruler and compass constructions in the lemniscate and the 17-gon

To access the full text documents, please follow this link: https://hdl.handle.net/2117/456029

Author

Gómez Molleda, Maria Ángeles

Lario Loyo, Joan Carles

Other authors

Universitat Politècnica de Catalunya. Departament de Matemàtiques

Universitat Politècnica de Catalunya. STNB - Seminari de Teoria de Nombres de Barcelona

Publication date

2025-01-01



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Abstract

We present several ruler and compass practical geometric constructions that can be performed in the lemniscate curve. To be precise, we provide recipes for halving, doubling, adding, subtracting, and transferring lemniscate arcs with ruler and compass. This note complements the instructions for the lemnatomic equilateral triangle and pentagon discussed in [9], giving the details for the construction of the lemnatomic regular 17-gon.

Postprint (author's final draft)

Document Type

Article

Language

English

Subjects and keywords

Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica; Geometry, Algebraic; Elliptic functions; Lemniscate; Ruler and compass; Abel; Elliptic function; Geometria algebraica; Funcions el·líptiques; Classificació AMS::14 Algebraic geometry

Publisher

Springer

Related items

https://link.springer.com/article/10.1007/s00283-025-10482-2

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Restricted access - publisher's policy

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E-prints [72263]