On the constructibility of the axes of an ellipsoid

التفاصيل البيبلوغرافية
العنوان: On the constructibility of the axes of an ellipsoid
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