Book Title: Panini And Euclid Reflections On Indian Geometry
Author(s): Johannes Bronkhorst
Publisher: Johannes Bronkhorst

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________________ JOHANNES BRONKHORST PĀŅINI AND EUCLID Lloyd, GER (1990). Dew i ng Mentalities. Cambridge ete: Cambridge University Press Reprinted 1993. Martoff Jean-Claude (1997). A History of Chinese Mathematics (Translation of Histoire des mathematiywe's chinoises, Mun , Pans 1987, Ir. Stephen S. Wilson). Berlin: Springer Meulenheld. J. 1999 f.L A History of Indian Medical Literature. To be completed in 3 vols Groningen: her husen. (Groningen Oriental Studies, 15.) Michaels, Axel (1978). Beweisverfuren in der vedischen Sakral geometrie: ein Beitrag cwr Entstehungsgeschichtem Wissenschaft. Wiesbaden: Franz Steiner. (Alt und Neu-Indische Studien, 20).) Müller. Conrad (1940). Volumen und Oberfläche der Kugel bei Aryabhata I'. Deutsche Mathematik 513): 244-255 Needham, Joseph (1959). Science and Civilisation in China. Vol. 3: Mathematics and the Sciences of the lives and the Earth. Cambridge: Cambridge University Press Netz. Reviel (1999). The Shaping of Deduction in Greek Mathematics. A Study in Cognitive History. Cambridge cte: Cambridge University Press. Neugebauer. O. (1957), The Exact Sciences in Antiquity. 2nd ed. Providence, Rhode Island: Brown University Press, Padalipta Jotiskarandaku. In: Pinaysuitdim Part II: Padaliprasari's Jossakurundagam with Pruikrta Tippanuka by Vacaku Sivanandi. Ed. Müni Shri Punyavijayaji. Bombay: Shri Mahavira Jaina Vidyalaya (Jaina-Agama-Series no 17. part III.) Pingree. David (1970-1994). Census of the Erace Sciences in Sanskrit Series A. 1-. Philadelphia: American Philosophical Society Pingree, David (1971). 'On the Greek Origin of the Indian Planetary Model Employing a Douhle Epicycle Joul for the History of Astronomy 2: 80-85. Pingree. Duvid (1978). "History of Mathematical Astronomy in India', in Charles Costo Cillispieled.). Diety of Scientific Bigy. Vol. XV. Supplement I. pp533-633. New York. Charles Scribner's Sons Pingree. David (19811. Jautiesastra Astral and Mathematical Literature. Wiesbaden: Ott Harrassowitz. (HIL vol. VI. fase. 4.) Pingrec. David 1993). 'Aryabhata, the Puitämahasiddhanta, and Greek Astronomy Studies in History of Medicine and Science, new series 12(1-2): 69-79. Molker, Kim (1996). "How to Appreciate Indian Techniques for Deriving Mathematical Formulas in Catherine Goldstein, Jeremy Gray and Jim Ritter (eds.). L'Europe mathematique: histoires, thes, identites/Mathematical Europe: History Myth, Identits. pp. 52-65. Paris Editions de la Maison des sciences de l'homme. Pullage, John (1974), 'The Mensuration of Quadrilaterals and the Generation of Pythagorean Triads: A Mathematical Heuristical and Historical Study with Special Reference to Brahmagupia's Rules'. AHES 12. 299-354. Prakash Sarasvati, Svami Salya (1986). A Critical Saudy of Brahmugupta and his Works (the Most Distinguished Indian Astronomer and Mathematician of the Sixth C A D Delhi Govindram Hasanand. Rueye, David Seyfort (1978). 'Mathematical and Linguistic Models in Indian Thought: The Case of Sunyata'. WZKS 22: 171-181. Sarasvati Amma, T.A. (1999). Geometry in Ancient and Medieval India. Second Ted edition. Delhi: Motilal Banarsidass Schouder. L (1884). Pythagoras und die Indker. Eine Untersuchung über Herkun w Abstammung der puh eischen Lehren. Leipzig: Otto Schulze Senkenberg, A. (1962). "The Ritual Origin of Geometry. AHES 1: 488-527. Seidenberg. A. (1975). "Did Euclid's Elements, Book 1 Develop Geometry Axio matically? AHES 14: 263-295. Seidenberg, A. (1978). "The Origin of Mathematics'. AHES 18: 301-342 Seidenberg, A. (1983). "The Geometry of the Vedic Rituals, Staal, 1983: II: 95-126. Shapiro, Stewart (1997), Philosophy of Mathematics. Srire un moly. New York - Oxford: Oxford University Press. Sharma, Rain Swarup (1966). Shri Brahmaga virucita Brna putu Siddcinta with Vasand, Vijding and Hindi Commentaries Edited by a burd of editors headed by ... Ram Swarup Sharma. 4 vols New Delhi: Indian Institute of Astronomical and Sanskrit Research Shukla, Kripa Shankar (1972). 'Hindu Mathematics in the Seventh Century as Found in Bhaskara I's Commentary on the Aryabhutiyu (IV)'. Gunitu 2M2): 41-50. Shukla, Kripa Shankar (ed.) (1976). Aryabharly of Arawat, with the Commentary of Bhaskara / and Somešvara. New Delhi: Indian National Science Academy (Aryabhatiya Critical Edition Series, Pt. 2) Singh Navjyoti (1990). "Foundations of Logic in Ancient India: Linguistics and Mathematics'. - Kuppuram and Kumudamani, 1990: 245-287. Smeur, AJEM (1970). "On the Value Equivalent to in Ancient Mathematical Texts: A New Interpretation'. AHES 6: 249-270. Smith, David Eugene (1923). History of Mathemaries, Vol. 1: General Survey of the History of Elementary Mathematics. Reprint: Dover, New York, 1958 Srinivas, M.D. (1990), 'The Methodology of Indian Mathematics and its Contemporary Relevance = Kuppuram and Kumudamani, 1990: 29-86. Staal, Frits (1960). Review of Contributions à l'histoire de la philosophie linguistique indienne by D.S. Ruegg. PEW 10: 53-57. Staal, Frits (1963). "Euclides and Panini: twee methodische richtlijnen voor de filosofie', (Amsterdam: Polak & Van Gennep) - Stual, 1986: 77-115 Stual, Frits (1983). AGNI. The Vedic Ritual of the Fire Alar. 2 vols BerkeleyAsian Humanities Press. Staal, Frits (1986). Over zin en engin in filosofie religie en wetenschap. Amsterdam Meulenhoff Informatief. Staal, Frits (1988). Uniwersal Studies in Indian Lagi and Linguistics, University of Chicago Press. Staal, Frits (1993). Concepts of Science in E n and Asia, Leiden: Interational Institute for Asian Studies. Staal, Frits (1999), 'Greek and Vedic Geometry. JIP 271/2) (Gurivandana: Essays in Indology in Honour of K. Bhattacharya), 105-127 Staal, J. (= Frits) (1965), 'Euclid and Panini' (PEW 15, 99-116) Staal, 1988: 143-160. Subbarayappu, B.V., and K.V. Sarma (1985). Indian Astro A Sur Bank (Based Primarily on Sanskrit Texts). Bombay: Nehru Centre. Umásvati (1926, 1930). Tarvathadhigama Sarra Bhdsva. Edited with the commentaries of Devaguptasori and Siddhasenagani, by Hiralal Rasikdas Kapudi vols. Bombay Jivanchund Sakerchand Javeri. van der Waerden, B.L (1980). "On Pre-Babylonian Mathematics, I and II. AHES 23: 1-25 & 27-46. van der Waerden. Bartel Leendert (1983). Geometry and Algebra in Ancin Ciril. sutions. Berlin etc.: Springer Vogel, Claus (1997). On the Date of the Posadha Ceremony as Taught hy the Múlasar västivading in Petru Kieffer-Pulz und Jens-Uwe Hachmann (eds.). Bauddhavidyasudläkaruh. Studies in Helliour of Heinz Bechert on the occasion of His 65th Birthday. pp. 673-688. Swisttal-Odendorf: Indica et Tibetica Verlag (Ind Tib 30.) Wujastyk. Dominik (1993). Metarules of Paimion Grammar Vudi's Purihlasi . 2 vols. Groningen: Egbert Forsten. (Groningen Oriental Studies, 5)

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