التفاصيل البيبلوغرافية
| العنوان: |
Dynamic construction of a family of octic curves as geometric loci |
| المؤلفون: |
Thierry Dana-Picard, Tomás Recio |
| المصدر: |
AIMS Mathematics, Vol 8, Iss 8, Pp 19461-19476 (2023) |
| بيانات النشر: |
AIMS Press, 2023. |
| سنة النشر: |
2023 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
plane curves, geometric locus, octic curve, interactive construction, dynamic geometry, geogebra, symbolic computation, maple, implicitization, Mathematics, QA1-939 |
| الوصف: |
We explore the construction of curves of degree 8 (octics) appearing as geometric loci of points defined by moving points on an ellipse and its director circle. To achieve this goal we develop different computer algebra methods, dealing with trigonometric or with rational parametric representations, as well as through implicit polynomial equations, of the given curves. Finally, we highlight the involved mathematical or computational issues arising when reflecting on the outputs obtained in each case. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2473-6988 |
| Relation: |
https://doaj.org/toc/2473-6988 |
| DOI: |
10.3934/math.2023993?viewType=HTML |
| DOI: |
10.3934/math.2023993 |
| URL الوصول: |
https://doaj.org/article/5f9f2f92055341268da6980c5e058b4f |
| رقم الانضمام: |
edsdoj.5f9f2f92055341268da6980c5e058b4f |
| قاعدة البيانات: |
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