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Constructions of a regular pentagon given its side
In the paper, several constructions of a regular pentagon given its side are presented. They are based primarily on the similarity of geometric objects (figures) and on the golden ratio....
Education, general; including training, pedagogy, didactics [and education systems]
- 2017 •
- Jost
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Five nice examples for the regular pentagon
The content of the article is the solution of five examples for a regular pentagon, which can be solved using high school methods. The reader is gradually introduced to several interesting properties of regular pentagon...
Education, special (to gifted persons, those with learning disabilities)
- 2022 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Výsledek na webu
The magic beauty of a regular pentagon
Basic themes of document: pentagon; similarity of triangles; the height of the pentagon; the area of the pentagon; the angles in the pentagon......
Pure mathematics
- 2017 •
- Jost
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Constructions of a Regular Pentagon Inscribed in a Given Circle
We sometimes encounter the problem to inscribe a regular pentagon in a given circle. Many of us have learnt only one possible construction by heart without trying to justify it. The aim of this paper is to alter this bleak reality: ...
Education, general; including training, pedagogy, didactics [and education systems]
- 2017 •
- Jost
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Constructions of a square and a regular pentagon only with a compass
of a square and a regular pentagon.
Applied mathematics
- 2018 •
- D
Rok uplatnění
D - Stať ve sborníku
Malton´s constructions of regular pentagon
The paper is devoted to Thomas Malton´s constructions of a regular pentagon. There are listed five different constructions of the regular pentagon in the Malton´s student-book. The Malton´s constructions are relati...
BA - Obecná matematika
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
Origami Pentagon
In this paper, we show how to make an origami pentagon from a square sheet of paper. We also use analytic geometry to prove that the resulting origami pentagon is not regular as it might seem at first sight....
Education, general; including training, pedagogy, didactics [and education systems]
- 2017 •
- Jost
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Crystal shape amplitudes of Platonic polyhedra. II. The regular pentagonal dodecahedron and the icosahedron.
BM - Fyzika pevných látek a magnetismus
- 1995 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Construction of 17-sided regular polygon
After the triangle and the pentagon, the 17-sided regular polygon is another regular n-polygon with a prime value, which can be constructed exactly Euclidean construction. J. Gauss stated the statement about its exact const...
Pure mathematics
- 2020 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Výsledek na webu
The Strategy of Reformulation of a Problem
This contribution describes one of the general heuristic problem solving strategies - strategy of reformulation of a problem. This strategy is illustrated by one historical excursion (Pythagorean construction of regular pentagon) an...
AM - Pedagogika a školství
- 2012 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
Výsledek na webu
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