Determination of the characteristic parameters in the general collinear spaces in the general case | Zendy

Sonja Krasić | Zendy; Miroslav Marković | Zendy

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Determination of the characteristic parameters in the general collinear spaces in the general case

Author(s) -

Sonja Krasić,

Miroslav Marković

Publication year - 2005

Publication title -

facta universitatis - series architecture and civil engineering

Language(s) - English

Resource type - Journals

eISSN - 2406-0860

pISSN - 0354-4605

DOI - 10.2298/fuace0502209k

Subject(s) - mathematics , projective plane , plane (geometry) , space (punctuation) , constructive , pencil (optics) , projective space , geometry , real projective plane , pure mathematics , mathematical analysis , projective test , collineation , computer science , physics , optics , process (computing) , correlation , operating system

In order to perform mapping in the general-collinear spaces which are uniformly (biunivocally) determined with five pairs of associated points, it is necessary to determine the following parameters in the general case: the vanishing plane, space axis (principal normal lines), foci, if there are any (apices of the identical rays of straight lines) and directrix planes, if there are any (appended identical fields of points).Construction methods which can be used in this paper are the Descriptive and projective geometry methods. The paper is primarily based on the constructive treatment of general collinear spaces in the general case, in whose course a pair of Monge's projections are used

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