On Methods of Synthetic Projective Geometry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369849" target="_blank" >RIV/00216208:11320/17:10369849 - isvavai.cz</a>
Result on the web
<a href="http://www.ssgg.sk/scg/archiv/sbornik_2017_online.pdf" target="_blank" >http://www.ssgg.sk/scg/archiv/sbornik_2017_online.pdf</a>
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
On Methods of Synthetic Projective Geometry
Original language description
In the contribution, we talk about synthetic methods in the projective extension of the real plane or three-dimensional space for solving problems of projective incidence and affine geometry. We use the concept of von Staudt's "Wurf" , defined in his Beiträge zur Geometrie der Lage, and the derived property that cross-ratios are invariant under projective transformations. The concept of choosing an infinite hyperplane is used for making hypothesis in an affine space to solve projective problems and vice-versa. Insight into the von Staudt's constructions on the projective scale is given. The methods are shown on some examples in elementary planimetry and stereometry.
Czech name
—
Czech description
—

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

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the CZECH-SLOVAK CONFERENCE ON GEOMETRY AND GRAPHICS 2017
ISBN
978-80-89597-78-9
ISSN
—
e-ISSN
neuvedeno
Number of pages
6
Pages from-to
179-184
Publisher name
SCHK
Place of publication
Bratislava
Event location
Vršatské podhradie, SR
Event date
Sep 11, 2017
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
—

Similar results(10)