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Surface family mate with Bertrand mate as mutual curvature lines in Galilean 3-space G3 |
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PP: 885-893 |
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doi:10.18576/amis/180417
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Author(s) |
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Maryam T. Aldossary,
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Abstract |
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| The paper is an attempt to resolute the surface family mate (S FM) with a Bertrand mate (BM) as mutual curvature
lines in Galilean 3-space G3. The S FM with the symmetry of BM can be specified as linear combinations of the components of the
Serret–Frenet frames in G3. With these parametric representations, we resolved the indispensable and enough events for the specified
BM to be the curvature lines on these surfaces. Afterword, the conclusion to ruled surface (RS ) is also gained. |
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