Constructions of squaring the circle, doubling the cube and angle trisection
Journal Title: Vojnotehnički glasnik - Year 2017, Vol 65, Issue 3
Abstract
The constructions of three classical Greek problems (squaring the circle, doubling the cube and angle trisection) using only a ruler and a compass are considered unsolvable. The aim of this article is to explain the original methods of construction of the above-mentioned problems, which is something new in geometry. For the construction of squaring the circle and doubling the cube the Thales' theorem of proportional lengths has been used, whereas the angle trisection relies on a rotation of the unit circle in the Cartesian coordinate system and the axioms of angle measurement. The constructions are not related to the precise drawing figures in practice, but the intention is to find a theoretical solution, by using a ruler and a compass, under the assumption that the above-mentioned instruments are perfectly precise.
Authors and Affiliations
Veselin Rmuš
Keywords
Related Articles
- EP ID EP224507
- DOI 10.5937/vojtehg65-13404
- Views 153
- Downloads 0
Improving the technical characteristics of a decontamination tanker with the help of TRIZ
This paper explains the application of the TRIZ methodology (Theory of Solving Inventive Tasks) in the field of solving a technical problem in a decontamination tanker. TRIZ is one of the most suitable scientific and inn...
Mechanical properties and microstructures of bio-inert layers of chrome oxide coatings deposited by the APS process
Plasma spray Cr2O3 ceramic layers are used as a separate coating or as a supplement to bio-reactive organic composite ceramics Ca10(PO4)6(OH)2-Al2O3-ZrO2-Cr2O3 and other bio-inert ceramics in composites of the types Al2O...
Information for contributors and readers for issue 1-2019
Ministry of Education, Science and Technological Development of the Republic of Serbia classified the Military Technical Courier for the year 2018. Serbian Citation Index has indexed the Military Technical Courier articl...
LDPC codes for physical layer security
Wireless communication is ubiquitous in today's society. Unfortunately, wireless transmission is by the nature of broadcasting suitable for eavesdropping. These links are usually secured by encryption protocols that rely...
Software quality standards
In order to achieve the desired software quality, it is necessary to have information about the existing standards in this field and follow them in all phases of the software life cycle. This study emphasizes the importa...