USING THE SPHERE AND THE REVOLVING CONE AS GEOMETRIC LOCI FOR GRAPHICAL CONSTRUCTIONS

Magdalena ORBAN, Cecilia CIORTEA, Diana BOCA

Abstract


The graphical solving of some problems in spatial geometry is facilitated by the use of some auxiliary surfaces, as geometric loci, which comply with the requirements of the problem. The paper proposes some ways of utilizing sphere and revolving cone, as auxiliary surfaces, for graphically determining the positions occupied in space by some geometrical elements, materialized by parts in machine building, of distances between them or of angles they form or have to form with other elements, within the requirements imposed by some concrete design problems. 

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References


Tănăsescu, A., Geometrie descriptivă, E.D.P., Bucureşti, 1975.

F. G.-M., Géométrie descriptive. Elements et exercices, Paris, 1920, Ed. J. Gabay, Reprint (1996), ISBN 2-87647-170-1.

Orban, M., Proiecţii şi metode de transformare a proiecţiilor, Ed. Casa Cărţii de Stiinţă, Cluj-Napoca, 2008, ISBN 975-973-133-393-9.


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