Professional paper

Constructive Procedure for Transformation of Collinear Spaces

Aleksandar Čučaković ; Faculty of Civil Engineering, University of Belgrade, Belgrade, Serbia

Abstract

This paper offers the constructive solution for transformation of points between two general collinear spaces S and S1 by using Monge's projection. The constructive procedure is based on the fact that each straight line of space S which is parallel to vanishing plane R∈S and one side of autocollinear tetrahedron D1D2D3D4, is transformed into the straight line of space S1 which is parallel to vanishing plane Q1∈ S1 and the same side of autocollinear tetrahedron.

Keywords

collinear spaces; autocollinear tetrahedron; vanishing plane; perspectivity of the pencils of lines

Hrčak ID:

3332

URI

https://hrcak.srce.hr/3332

Publication date:

15.2.2006.

Article data in other languages: croatian

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