[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Census of the Exact Sciences in Sanskrit, Series A](https://indike.org/pramana/ins.science.pingree-1970) › v5.c15.355 # Census of the Exact Sciences in Sanskrit, Series A v5.c15.355 Census of the Exact Sciences in Sanskrit, Series A v5.c15.355 - **Language:** English ### [v5.c15.355.1](https://indike.org/pramana/ins.science.pingree-1970.v5.c15.355.1) Kirfel, Willibald. \[A5. 1939\]. “Ist die Fünfzahl der symbolische Ausdruck einer bestimmten Kultur?,” Die Geistige Arbeit 6, 1939, no. 4, pp. 3–8; repr. in W. Kirfel \[A5. 1976\] pp. 173–178. —. \[1959b\]. Repr. in W. Kirfel \[A5. 1976\] pp. 111–119. —. \[A5. 1961\]. "Zahlen- und Farbensymbole," Saeculum 12, 1961, 237–247; repr. in W. Kirfel \[A5. 1976\] pp. 248–258. —. \[A5. 1976\]. Kleine Schriften, Wiesbaden 1976. Klaus, Konrad. \[A5. 1986\]. Die altindische Kosmologie. Nach den Brāhmaṇas dargestellt, Indica et Tibetica 9, Bonn 1986. Kloetzli, Randy. \[A5. 1983\]. Buddhist Cosmology, Delhi-Varanasi-Patna 1983. Kohl, J. F. \[A5. 1955\]. "Einige Bemerkungen zur Zahlen-symbolik und zum Animismus im botanischen System der Jaina-Kanon," Studia Indologica, BOS, NS 3, Bonn 1955, pp. 125–135. Kothandaraman, P. \[A5. 1982\]. "Tamil and Telugu Numerals. A Constructive Analysis," AOR Madras 31, 1982, art. 2. Kothari, P. C. \[A5. 1985\]. "Hidden Laws of Numbers of Harappa," GB 7, 1985, 23–24. Krishan, Y. \[A5. 1983/84\]. "The Doctrine of Karma and Phalita Jyotiṣa," VIJ 21, 1983–84, 53–67. Kuiper, F. B. J. \[A5. 1983\]. Ancient Indian Cosmogony, New Delhi 1983. Kulakarṇī, Bha. Ram. \[A5. 1946/47\]. "Bhāratīya jyotiṣa kī prāk Grīsa kālīna 'lagna' praṇālī," Jainasiddhāntabhāskara 13, 1946–47, 98–99. Kulakarṇī, Raghunātha Puruṣottama. \[A5. 1978a\]. Cāra śulbasūtre, Mumbaī 1978. —. \[A5. 1978b\]. "The Value of π Known to Śulbasūtrakāras," IJHS 13, 1978, 32–41. —. \[A5. 1978c\]. ### [v5.c15.355.2](https://indike.org/pramana/ins.science.pingree-1970.v5.c15.355.2) "Geometry as Known to the People of Indus Civilization," IJHS 13, 1978, 117–124. —. \[A5. 1983\]. Geometry According to Śulba Sūtra, Pune 1983. —. \[A5. 1987\]. Layout and Construction of Citis according to Baudhāyana-, Mānava-, and Āpastamba-Śulbasūtras, BORI, RUS 10, Poona 1987. —. \[A5. 1988\]. "A Water Instrument to Measure the Time of One Nālikā," ABORI 69, 1988, 279–281. Kuliachev, Alexey Pavlovich. \[A5. 1984\]. "Śrīyantra and its Mathematical Properties," IJHS 19, 1984, 279–292. Kumar, Lalit. \[A5. 1981\]. "Jai Singh's Observatory at Banaras-an Observation," Cultural Contours of India, ed. Vijai Shankar Srivastava, Atlantic Highlands, N. J., 1981, part II, pp. 170–171. Kumar, Ravi. See C. Caillat and R. Kumar \[A5. ?\]. Kumar, Vijayendra. \[A5. 1984\]. "Laws of Modern Mathematics in Yajurveda," Sciences and the Vedas, Bombay-Madras-New Delhi 1984, pp. 55–61. Kuppanna Sastry, T. S. See K. V. Sarma and T. S. Kuppanna Sastry \[A5. 1984\]. —. \[A5. 1978\]. "The Epoch of the Romaka Siddhānta in the Pañca Siddhāntikā and the Epoch Longitudes of the Sun and Moon in the Vāsiṣṭha-Paulīśa," IJHS 13, 1978, 151–158. —. \[A5. 1979\]. "The Vāsiṣṭha-Paulīśa Venus in the Pañcasiddhāntikā of Varāhamihira," IJHS 14, 1979, 150–154. Kuppuswami, A. \[A5. 1982\]. Easy Lessons in Elementary Astrology, Tiruchirapalli 1982. Kurtik, G. E. \[A5. 1987\]. "Theory of Precession in the Medieval Indian and Early Islamic Astronomy" (in Russian), Moskva 1987. Kusuba, T. See T. Hayashi, T. Kusuba, and M. Yano \[A5. 1990\]. ### [v5.c15.355.3](https://indike.org/pramana/ins.science.pingree-1970.v5.c15.355.3) Kusuba, Takanori. \[A5. 1981\]. "Brahmagupta's Sūtras on Tri- and Quadrilaterals," Historia Scientiarum 21, 1981, 43–55. —. \[A5. 1987a\]. "Brahmagupta's Pāṭīgaṇita," Chūsei no Sūgaku, Tokyo 1987, pp. 381–407 (in Japanese). —. \[A5. 1987b\]. "Brahmagupta's Bījagaṇita," Chūsei no Sūgaku, Tokyo 1987, pp. 408–428 (in Japanese). Lahiri, N. C. \[A5. 1980\]. "Lunar and Solar Equations of Hindu Astronomy," Proceedings of the First International Sanskrit Conference III 1, New Delhi 1980, pp. 192–195. Lakshminarasimhiah, B. K. \[A5. 1967\]. A Guide to Astrology or Jyothisha Rahasyam, Bangalore 1967. Lal, Rattan. \[A5. 1983\]. Nadi System of Prediction, New Delhi 1983. Lal, R. S., and R. Prasad. \[A5. 1985\]. "Simultaneous Indeterminate Equations of the First Degree in Ancient and Medieval Hindu Mathematics," ME 19, 1985, 87–96. Lal, R. S. \[A5. 1984\]. "Extraction of Square-root in Ancient Hindu Mathematics," ME 18, 1984, 130–135. —. \[A5. 1988\]. "Jagadguru Śaṅkarācārya Svāmī Śree Bhāratī Kṛṣṇa Teerthajee Mahārāj and his Novel Methods of Solving Simple Equations," JAS 30, 1988, 172–181. Lalye, P. G. \[A5. 1981\]. "The Concept of Yugas in Ancient India," Proceedings of the First International Sanskrit Conference IV, New Delhi 1981, pp. 146–150. Lerner, Paule \[A5. 1988\]. Astrological Key in Mahābhārata. The New Era, transl. David White, Delhi 1988. Levi, Sylvain. \[A5. 1930\]. "Le pesée de l'éléphant," Dr. Modi Memorial Volume, Bombay 1930, pp. 442–444. Lishk, Sajjan Singh. See S. D. Sharma and S. S. ### [v5.c15.355.4](https://indike.org/pramana/ins.science.pingree-1970.v5.c15.355.4) Lishk \[A5. 1976\] and \[A5. 1978\]. —. See J. Sisodiyā, Ś. Śarmā, and S. S. Liśka \[A5. 1977\]. Lishk, Sajjan Singh, and A. Kaur. \[A5. 1987/88\]. "Psycho-social Aspects of Jaina Mathematics," Jain Journal 22, 1987–88, 20–22. Lishk, Sajjan Singh, and S. D. Sharma. \[A5. 1975\]. "Occultations of the Moon in Jaina Astronomy," Tulasī Prajñā, July–Sept. 1975, 64–69. —. \[A5. 1977\]. "Role of pre-Āryabhaṭa Jaina School of Astronomy in the Development of Siddhāntic Astronomy," IJHS 12, 1977, 106–113. —. \[A5. 1979\]. "Zodiacal Circumference as Graduated in Jaina Astronomy," IJHS 14, 1979, 1–15. —. \[A5. 1980a\]. "Standardization of Time-unit Muhūrta through the Science of Sciatherics in Atharva Vedāṅga Jyotiṣa," IJHS 15, 1980, 193–203. —. \[A5. 1980b\]. "Cycle of Days in Jambūdvīpa prajñapti," PAIOC 29 (1978), Poona 1980, 375–379. Lishk, Sajjan Singh. \[A5. 1979/80\]. "Certain Peculiarities of Jaina School of Astronomy," JJ 14, 1979–80, 81–88. —. \[A5. 1983a\]. "Kinematics of Venus in Bhadrabahu Sanhita," JJ 18, 1983, 1–19. —. \[A5. 1983b\]. "Notion of Declination Implied in the Concept of Mandala (Diurnal Circle) in Jaina School of Astronomy," JJ 18, 1983, 83–102. —. \[A5. 1986/87a\]. "On Five Circular Paths of Jambudvipa," JJ 21, 1986–87, 20–24. —. \[A5. 1986/87b\]. "Main Characteristics and Achievements of Jaina School of Ancient Indian Astronomy," JJ 21, 1986–87, 96–101. —. \[A5. 1987\]. Jaina Astronomy, Delhi 1987. —. \[A5. 1988/89a\]. ### [v5.c15.355.5](https://indike.org/pramana/ins.science.pingree-1970.v5.c15.355.5) "'Samaya' as an Unit of Time in Jaina Astronomy," AV 1, 1988–89, 2, 39–42. —. \[A5. 1988/89b\]. "On Geometry of Jambudvipa," AV 1, 1988–89, 3, 39–42. —. \[A5. 1988/89c\]. "Gnomon Experiments in Ancient Indian Astronomy," AV 1, 1988–89, 3, 43–47. —. \[A5. 1988/89d\]. "Mathematical Analysis of Post-Vedanga Data in Jaina Astronomy," AV 1, 1988–89, 3, 76–78. --- Source: [https://indike.org/pramana/ins.science.pingree-1970.v5.c15.355](https://indike.org/pramana/ins.science.pingree-1970.v5.c15.355) · Pramāṇa