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Constructions of a square and a regular pentagon only with a compass

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA1901WK9" target="_blank" >RIV/61988987:17310/18:A1901WK9 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Constructions of a square and a regular pentagon only with a compass

  • Original language description

    In 1797, Lorenzo Mascheroni proved that a compass used for constructions has the equal power as using a ruler altogether with the compass. Therefore, it is possible to construct all ruler-and-compass constructions only with the compass itself. The aim of this article is not to prove the theorem but to introduce interesting constructions of a square and a regular pentagon.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    17th Conference on Applied Mathematics, APLIMAT 2018 - Proceedings

  • ISBN

    978-802274765-3

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    338-347

  • Publisher name

    Slovak University of Technology in Bratislava

  • Place of publication

    Bratislava

  • Event location

    Bratislava

  • Event date

    Jan 1, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article