Quadric Sections of Four-Dimensional Cones

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10378554" target="_blank" >RIV/00216208:11320/19:10378554 - isvavai.cz</a>
Výsledek na webu
<a href="https://link.springer.com/chapter/10.1007%2F978-3-319-95588-9_41" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-319-95588-9_41</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-95588-9_41" target="_blank" >10.1007/978-3-319-95588-9_41</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Quadric Sections of Four-Dimensional Cones
Popis výsledku v původním jazyce
Graphic constructions of real three-dimensional quadrics as cuts of four-dimensional cones with three-dimensional spaces are described. All the constructions are presented on interactive models in GeoGebra 5 with use of descriptive geometry methods, which are based on a visualization technique of double orthogonal projection of the four-dimensional space onto two perpendicular three-dimensional spaces. We visualize a four-dimensional cone, its cutting 3-space and the section simultaneously in one figure. For detailed reasoning and verifications, the constructions are also supported analytically.
Název v anglickém jazyce
Quadric Sections of Four-Dimensional Cones
Popis výsledku anglicky
Graphic constructions of real three-dimensional quadrics as cuts of four-dimensional cones with three-dimensional spaces are described. All the constructions are presented on interactive models in GeoGebra 5 with use of descriptive geometry methods, which are based on a visualization technique of double orthogonal projection of the four-dimensional space onto two perpendicular three-dimensional spaces. We visualize a four-dimensional cone, its cutting 3-space and the section simultaneously in one figure. For detailed reasoning and verifications, the constructions are also supported analytically.

Projekt
—
Návaznosti
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2019
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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