Professional paper

A constructive geometry in teaching of mathematics

Nikola Koceić Bilan orcid.org/0000-0003-4430-0091 ; Prirodoslovno-matematički fakultet Sveučilišta u Splitu, Split, Hrvatska
Nikolina Smajić Burić ; Prirodoslovno-matematički fakultet Sveučilišta u Splitu, Split, Hrvatska
Luisa Trombetta Burić ; Aspira, Split, Hrvatska

Abstract

Constructive geometry plays an important role in teaching mathematics.
In this paper we give axioms of constructive geometry, i.e. we incorporate all unwritten rules into a deductive system. In such manner constructive geometry becomes a mathematical discipline dealing with one particular realization of the classical model of Euclidian geometry. Its methods provide research into this model of geometry. Solvability of constructive geometry problems is characterized in a rather algebraic way.

Keywords

solvability of constructive geometry problem; euclidian construction; constructible number

Hrčak ID:

105949

URI

https://hrcak.srce.hr/105949

Publication date:

30.8.2013.

Article data in other languages: croatian

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