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The geometry of Sulbasu${\={u}}$tras in Ancient India  

Kim, Jong-Myung (Department of Mathematics Education, Kwandong University)
Heo, Hae-Ja (Department of Mathematics Education, Kwandong University)
Publication Information
Journal for History of Mathematics / v.24, no.1, 2011 , pp. 15-29 More about this Journal
Abstract
This study was carrying out research on the geometry of Sulbas${\={u}}$tras as parts of looking for historical roots of oriental mathematics, The Sulbas${\={u}}$tras(rope's rules), a collection of Hindu religious documents, was written between Vedic period(BC 1500~600). The geometry of Sulbas${\={u}}$tras in ancient India was studied to construct or design for sacrificial rite and fire altars. The Sulbas${\={u}}$tras contains not only geometrical contents such as simple statement of plane figures, geometrical constructions for combination and transformation of areas, but also algebraic contents such as Pythagoras theorem and Pythagorean triples, irrational number, simultaneous indeterminate equation and so on. This paper examined the key features of the geometry of Sulbas${\={u}}$tras and the geometry of Sulbas${\={u}}$tras for the construction of the sacrificial rite and the fire altars. Also, in this study we compared geometry developments in ancient India with one of the other ancient civilizations.
Keywords
Sulbas${\={u}}$tras; Baudhayana; irrational number; Simultaneous indeterminate equation; Agnicayana;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 http://www-history.mcs.st-and.ac.uk/-history/Projects/Pearce/index.html
2 http://en.wikipedia.org/wiki/lndian_mathematics
3 Plofker Kim, "A Perspective on Ancient Indian Mathematics," The Hyderabad Intelligencer. Springer (India) Private Limited (2010), 13-23.
4 Srinivasiengar C. N., The History of Ancient Indian Mathematics, The World Press Private Limited, 1967.
5 Staal, F., "Greek and Vedic Geometry," J. Indian philos. Vol. 27(1999), No. 1-2, 105-127.   DOI
6 Wujastyk, D., "Science and Vedic Studies," J. Indian philos. Vol. 26(1998), No.4, 335-345.   DOI   ScienceOn
7 Narasimha, R, "Epistemology and Language in Indian Astronomy and Math.," J. Indian Philos. Vol. 35(2007), No. 5-6, 521-541.   DOI   ScienceOn
8 http://www-groups.dcs.st-and.ac.uk/-history/HistTopics/Indian_mathematics.html
9 Kaye G. R., Indian Mathematics, Thacker, Spink & Co., 1915.
10 Krishna Murty K. V., Ancient Indian Mathematicians, Institute of Scientific Research on Vedas, 2010.
11 Bose D. M., Sen S. N., Subbarayappa B. V., A Concise History of Science in India, Universities Press(India) Private Limited, 2009.
12 Mankiewicz. Richard (이상원 역), 문명과 수학, 경문사, 2002.
13 Bronkhorst. J., "Panini and Euclid: Reflections on Indian Geometry," J. Indian Philos. Vol. 29(2001), No. 1-2, 43-80.   DOI
14 Burnett, C., "The Semantics of Indian Numerals in Arabic, Greek and Latin," J. Indian Philos. Vol. 34(2006), No. 1-2, 15-30.   DOI   ScienceOn
15 Eves, Howard (이우영, 신항균 역), 수학사, 경문사, 1995.
16 김종명, 고대 인도수학의 특징, 한국수학사학회지 23(2010), No. 1, 41-52.
17 Radhakrishnan, Sarvepalli (이거룡 역), 인도 철학사, 한길사, 1999.
18 Boyer, Carl., Merzbach, Uta C.(양영호, 조윤동 역), 수학의 역사, 상,하, 경문사, 2000.
19 Cajori, Florian (정지호 역), 수학의 역사, 창원사, 1983.
20 최명자, 東洋數學이 西洋數學에 미친 影響, 이화여자대학교, 교육대학원 석사논문, 1976.
21 김용운 김용국, 수학사대전, 우성문화사, 1986.
22 김종명, 고대 그리스수학과 동양수학, 한국수학사학회지 20(2007), No. 2, 47-58.