کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582595 | 1333831 | 2008 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Towards a completion of Archimedes’ treatise on floating bodies
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Towards a completion of Archimedes’ treatise on floating bodies Towards a completion of Archimedes’ treatise on floating bodies](/preview/png/4582595.png)
چکیده انگلیسی
In the said treatise Archimedes determines the equilibrium positions of a floating paraboloid segment, but only in the case when the basis of the segment is either completely outside of the fluid or completely submerged. Here we give a mathematical model for the remaining case, i.e., two simple conditions which describe the equilibria in closed form. We provide tools for finding all equilibria in a reliable way and for the classification of these equilibria. This paper can be considered as a continuation of Rorres's article [C. Rorres, Completing book II of Archimedes's on floating bodies, Math. Intell. 26(3) (2004) 32–42].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 26, Issue 3, 1 August 2008, Pages 219–236
Journal: Expositiones Mathematicae - Volume 26, Issue 3, 1 August 2008, Pages 219–236
نویسندگان
Kurt Girstmair, Gerhard Kirchner,