Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
Christopher Bertka_Thesis.pdf (1.26 MB)
ETD Abstract Container
Abstract Header
Descriptions of Floating Bodies in 2 Dimensions
Author Info
Bertka, Christopher M
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent159077009117022
Abstract Details
Year and Degree
2020, MS, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
BERTKA, CHRISTOPHER MICHAEL, M.S. MAY 2020 PURE MATHEMATICS DESCRIPTIONS OF FLOATING BODIES IN 2 DIMENSIONS (22 pp.) Thesis Advisor: Dmitry Ryabogin In the study of hydrostatics, finding the orientations for which a ship will float is of utmost importance. We investigate previous results in the effort to calculate these orientations and see that a particular body, called the surface of centers, is essential for performing this calculation. We explain the theory behind finding the surface of centers and give a few examples.
Committee
Dmitry Ryabogin, Ph.D (Advisor)
Volodymyr Andriyevskyy, Ph.D (Committee Member)
Omar de la Cruz Cabrera, Ph.D (Committee Member)
Pages
22 p.
Subject Headings
Mathematics
Keywords
Dupin
;
Davidov
;
floating-body problem
;
homothety conjecture
;
convex geometry
;
hydrostatics
;
surface of floatation
;
surface of buoyancy
;
surface of centers
;
equilibrium directions
;
cutting body
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Bertka, C. M. (2020).
Descriptions of Floating Bodies in 2 Dimensions
[Master's thesis, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent159077009117022
APA Style (7th edition)
Bertka, Christopher.
Descriptions of Floating Bodies in 2 Dimensions.
2020. Kent State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent159077009117022.
MLA Style (8th edition)
Bertka, Christopher. "Descriptions of Floating Bodies in 2 Dimensions." Master's thesis, Kent State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=kent159077009117022
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
kent159077009117022
Download Count:
263
Copyright Info
© 2020, all rights reserved.
This open access ETD is published by Kent State University and OhioLINK.