Weberian Focal-Directorial Curves: Geometric Genesis and Form Variation

M Petrović, B Malešević, R Štulić - Nexus Network Journal, 2021 - Springer
In this paper, new plane curves (multidirectorial curves as counterpart to multifocal curves;
and focal-directorial curves as curves of a transitory type) are considered through geometric …

Modeling of focal-directorial surfaces for application in architecture

L Petruševski, MM Petrović, M Devetaković… - FME …, 2017 - raf.arh.bg.ac.rs
The theme of this paper is the modeling of focal-directorial surfaces, starting with their
definition, as a locus of points, whose sum of the distances to the focus and/or directrix is …

The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects

MM Petrović, R Mijailović, B Malešević… - … Architecture and Civil …, 2018 - raf.arh.bg.ac.rs
One of the major aims when researching some problems in architectural design of buildings
is to fully understand and adequately apply the underlying scientific foundations that …

Weberian Focal-Directorial Curves

P Maja, M Branko, Š Radovan - Nexus Network Journal, 2021 - search.proquest.com
In this paper, new plane curves (multidirectorial curves as counterpart to multifocal curves;
and focal-directorial curves as curves of a transitory type) are considered through geometric …

SOME SURFACES OF SECOND ORDER AS EXAMPLES OF WEBERS SURFACES

M Petrovic, B Maleševic, B Banjac - Journal of Industrial Design and …, 2015 - sorging.ro
In this paper we consider some surfaces of second order as surfaces generated from
focaldirectorial elements (point, line, plane). Extraction of parts of the surface according to …

Directorial Surfaces and Potential Applications in Cupola Design

MM Petrović, RB Stulic, MP Vučić… - … Conference on Geometry …, 2018 - Springer
Abstract Architecture, being an inexhaustible source of ideas for shaping both interior and
exterior, is in high demand of the development of novel methods for geometric form …

[PDF][PDF] Geometric Genesis and Form Variation of Focal-Directorial Curves and Surface

M Petrovic - researchgate.net
In this work, the starting point was a well-known geometric problem stated by a French
mathematician Pierre de Fermat in the 17th century. The problem is as follows: in Latin “datis …

[PDF][PDF] Maja Petrović1, Radomir Mijailović1, Branko Malešević2

Đ Đorđević, R Štulić - ARChITECTURE ANd CIVIl …, 2018 - casopisi.junis.ni.ac.rs
One of the major aims when researching some problems in architectural design of buildings
is to fully understand and adequately apply the underlying scientific foundations that …

[PDF][PDF] THE FOCAL-DIRECTORIAL GEOMETRIC FORMS AS A DESIGNING PATTERN OF THE ARCHITECTURAL-URBAN SPACE

MM Petrović - researchgate.net
Through explorations of various types of planar curves and surfaces generated as locus of
points with constant sum/product of distances to the focus, it was shown that there also exist …

Генерисање фокално-директрисних геометријских форми као обрасца за обликовање архитектонско-урбанистичког простора

M Petrović - Универзитет у Београду, 2016 - nardus.mpn.gov.rs
Истраживањем различитих типова равних кривих и површи које су генерисане као
геометријско место тачака (ГМТ) са константном сумом/производом растојања до …