تقرير
On the constructibility of the axes of an ellipsoid
العنوان: | On the constructibility of the axes of an ellipsoid |
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المؤلفون: | Horváth, Ákos G., Prok, István |
سنة النشر: | 2017 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Metric Geometry, 51N20 |
الوصف: | In this paper we discuss Chasles's construction on ellipsoid to draw the semi-axes from a complete system of conjugate diameters. We prove that there is such situation when the construction is not planar (the needed points cannot be constructed with compasses and ruler) and give some others in which the construction is planar.In this paper we discuss Chasles's construction on ellipsoid to draw the semi-axes from a complete system of conjugate diameters. We prove that there is such situation when the construction is not planar (the needed points cannot be constructed with compasses and ruler) and give some others in which the construction is planar. Comment: 10 pages, 5 figures.arXiv admin note: substantial text overlap with arXiv:1707.01233 |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1710.07277 |
رقم الأكسشن: | edsarx.1710.07277 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |