Research Outline Proposal: Development of Geometry by the Hippocrates of Chios
Introduction
Hippocrates made mathematical advancement during the Golden Age in which fundamental concepts of geometry began thriving in the social dynamics (Huffman, and Filolaos 197). Some of the two core mathematic techniques that occurred during this era include axiomatic techniques to geometry and introduction of paradoxes by the Zeno of Elea (Bell 138). Principally, the paradoxes were concerned with the determination of infinite and infinitesimal mathematic concepts (Klette, and Azriel 455).
This research is centered on determining the concept of Geometry postulated by the Hippocrates of the Chios in the 5th Century, and how these ideas transformed mathematic knowledge and understanding in the entire Greece and beyond (Eves 10).
Research Objectives
Below are the research objectives for this study:
Determine core mathematical concepts developed by the Hippocrates of Chios (Christianidis 4)
Evaluate the progressive impacts of this discovery with regards to prior and subsequent generations in the Greece calendar of inventions (Knorr 306).
Enumerate the alternative solutions to unsolved problems in geometry during the 5th Century
Primary Research Question
What are the core geometrical concepts that were discovered by the Hippocrates of Chios in the 5th Century?
Research Methodology
This research is centered on qualitative analysis to the mathematical discoveries during the Golden Age period, as well as other generations of such discoveries. Indeed, the research will rely heavily on the secondary sources of study drawn from textbooks, online materials, and archival records of Greek mathematical discoveries.
Works Cited
Bell, E T. The Development of Mathematics. Newburyport: Dover Publications, 2012. Print.
Eves, Howard. College Geometry. Boston: Jones and Bartlett, 1995. Print.
Huffman, Carl A, and Filolaos. Philolaus of Croton: Pythagorean and Presocratic : a Commentary on the Fragments and Testimonia with Interpretive Essays. Cambridge: Cambridge Univ. Press, 1993. Print.
Klette, Reinhard, and Azriel Rosenfeld. Digital Geometry: Geometric Methods for Digital Picture Analysis. Amsterdam: Elsevier, 2004. Print.
Knorr, Wilbur R. The Evolution of the Euclidean Elements: A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early Greek Geometry. Dordrecht: Springer Netherlands, 1975. Print. Christianidis, Jean. Classics in the History of Greek Mathematics. Dordrecht [u.a.: Kluwer, 2004. Print.
