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authors

Stagnaro, Alberto and Archenti, Anibal R.

year

1999

title

ECPAS. Espacios de Control Puntual de Acción Simultánea (ECPAS. Spaces of Concentrated Control of Simultaneous Action)

source

III Congreso Iberoamericano de Grafico Digital [SIGRADI Conference Proceedings] Montevideo (Uruguay) September 29th - October 1st 1999, pp. 137-140

summary

The simultaneous action punctual control spaces, its species and its degrees of freedom are defined. It is proved that all of them follow the same parametric equation. A particular study of trifocus is made and the sections of the trifocoide are established the topological space where are the points that are at the minimal distance to other any three points of the plane is founded. It is proved that any ECPAS curve with coplanar focus has any number of spatial focus if this number is a multiple of the number of focus in its plane and in particular that the spatial ellipse focus are on his conjugated hyperbola.