Geodesic
Lines close to geodetic lines on a paraboloid
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2015), pp. 5-17

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The problem posed in [1] has been completely solved. Properties of the line at which a paraboloid of revolution intersects a demiquadric are updated with facts convincing that the selected approach is feasible for constructing lines lying on the paraboloid, close to geodetic lines, and having properties comfortable enough to use them as tailoring lines of a metallic mesh. The main result is a demonstration of proximity of principal normals of the identified lines (they are called SG-lines) and geodetic lines.
Mots-clés : paraboloid, demiquadrics
Keywords: geodetic line, normal congruence, ruled space. 
@article{VTGU_2015_6_a0,
     author = {M. S. Bukhtyak},
     title = {Lines close to geodetic lines on a paraboloid},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {5--17},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2015_6_a0/}
}
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M. S. Bukhtyak. Lines close to geodetic lines on a paraboloid. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2015), pp. 5-17. http://geodesic.mathdoc.fr/item/VTGU_2015_6_a0/