Hexagonal-surface-webs formed by n-pencils of spheres belonging to the same bundle |
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Authors: | Hakki İsmail Erdogan |
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Institution: | (1) Faculty of Sciences and Letters, Technical University of Istanbul, 80626 Maslak-Istanbul, Turkey |
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Abstract: | In this work,it is shown that n pencils of spheres which belong to the same bundle form a hexagonal-surface-web.Firstly,4 pencils of spheres orthogonal to the same sphere are taken into consideration. Later,by means of a suitable transformation,the equations of these 4 pencils of spheres are written in their simplest form and the equation of the surface web is obtained.Then,it is concluded that any 4- pencils of spheres belonging to the same bundle form a hexagonal-surface-web.From this we conclude that a surface n-web which is formed by n pencils of spheres belonging to the same bundle is a hexagonal web.n pencils of spheres are said to belong to the same bundle,if all the spheres cut a fixed sphere orthogonally. |
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