TECHICAL Series MATHEMATICS • INFORMATICS • PHYSICS Series PHILOLOGY Series ECONOMIC SCIENCES Sereies EDUCATIONAL SCIENCES Series LAW AND SOCIAL SCIENCES Series
Construction of Spheres in Conditions of Tangency with the Vertical Plane
(Construcţia sferelor în condiţii de tangenţă cu planul vertical de proiecţie)
Vol LVIII • No. 2/2006
Lavinia S. Stanciu
Universitatea Petrol  Gaze din Ploieşti, Bd. Bucureşti 39, Ploieşti
e-mail: dmg@upg-ploiesti.ro

 Keywords   sphere, tangency, vertical plane, projection.

 Abstract
The present paper provides the construction of a sphere in some imposed conditions. The condition of tangency is one of the most required in the problems of descriptive geometry, as well as in applications like those from the technical drawing. The problem of the correct location of the important elements needed in the construction of a sphere, as the radius and the center, are solved in the present work for the case that the sphere must pass by three points and also must be tangent to the vertical plane of projection.

 Rezumat
În prezenta lucrare, autoarea a propus construirea unei sfere în condiţii de tangenţă la planul vertical de proiecţie, trecând, de asemenea, prin trei puncte necoliniare impuse din spaţiu .Problema a fost rezolvată prin mijloacele geometriei descriptive. Problema cea mai importantă a constituit-o identificarea precisă a coordonatelor centrului sferei şi a razei acesteia. Folosirea metodei rabaterii pe un plan principal de proiecţie (planul vertical) a fost de un real folos pentru poziţionarea corectă a centrului sferei. Aşa cum s-a arătat în lucrare, problema a avut două soluţii constructive.



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