[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) › v1.c5.191 # Census of the Exact Sciences in Sanskrit, Series A v1.c5.191 Census of the Exact Sciences in Sanskrit, Series A v1.c5.191 - **Language:** English ### [v1.c5.191.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.1) Āryabhaṭa,” \*JAS Bengal\*, NS 4, 1908, 111-141. \[1908b\]. “The Use of the Abacus in Ancient India,” \*JAS Bengal\*, NS 4, 1908, 293-297. \[1909/10\]. “The Two Āryabhaṭas,” \*BM\* 3, 10, 1909-10, 289-292. \[1910\]. “The Source of Hindu Mathematics,” \*JRAS\*, 1910, 749-760. \[1910/11\]. “Notes on Hindu Mathematical Methods,” \*JAS Bengal\*, NS 7, 1911, 679-686. \[1911a\]. “Old Indian Numerical Symbols,” \*IA\* 40, 1911, 49-58. \[1911b\]. “A Brief Bibliography of Hindu Mathematics,” \*JAS Bengal\*, NS 7, 1911, 801-816. \[1911c\]. “References to Indian Mathematics in Certain Mediaeval Works,” \*JAS Bengal\*, NS 7, 1911, 801-816. \[1912\]. “The Bakhshālī Manuscript,” \*JAS Bengal\*, NS 8, 1912, 349-361. \[1915\]. \*Indian Mathematics\*, Calcutta 1915. \[1918a\]. “The Astronomical Observatories of Jai Singh, \*ASINIS\* 40, Calcutta 1918. \[1918b\]. “L’Origine de notre notation numérique,” \*Scientia\* 24, 1918, 53-55. \[1919a\]. “Indian Mathematics,” \*Isis\* 2, 1919, 327-356. \[1919b\]. “Ancient Hindu Spherical Astronomy,” \*JAS Bengal\* 15, 1919, 153-189. \[1919c\]. “Influence grecque dans le developpement des mathématiques hindoues,” \*Scientia\* 25, 1919, 1-14. \[1920a\]. “A Guide to the Old Observatories at Delhi; Jaipur; Ujjain; Benares, Calcutta 1920. \[1920b\]. “Hindu Astronomical Deities,” \*JAS Bengal\* 16, 1920, 57-75. \[1921a\]. “Astronomical Instruments in the Delhi Museum, \*MASI\* 12, Calcutta 1921. \[1921b\]. “The Nakshatras and Precession,” \*IA\* 50, 1921, 44-48. \[1921c\]. ### [v1.c5.191.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.2) “The Rig-Veda: A Note on the Arrangement of the Books,” \*JAS Bengal\* 17, 1921, 325-327. \[1924\]. \*Hindu Astronomy\*, \*MASI\* 18, Calcutta 1924. Kearns, J. F. \[1876\]. “Śilpa Śāstra,” \*IA\* 5, 1876, 230-237 and 293-297. Kedar, T. J. \[1942\]. “A New Interpretation of a Disputed Reference in Garga Saṃhitā,” \*NUJ\* 8, 1942, 1-3. Kedarnath. \[1924\]. “Śrīmanmahārājādhirājaśrījayasimhaviracitā Yantrarājakārikā,” \*The Pandit\* (Jaipur) 1, 1924, art. 2, 8 pp. Keith, A. Berriedale. \[1909\]. “On the Antiquity of Vedic Culture,” \*JRAS\*, 1909, 1100-1106. \[1910\]. “The Antiquity of Vedic Culture,” \*JRAS\*, 1910, 464-466. \[1911\]. “The Planet Bṛhaspati,” \*JRAS\*, 1911, 794-800. \[1914\]. “The Vedic Calendar,” \*JRAS\*, 1914, 627-640. \[1916a\]. “Day and Night in India,” \*JRAS\*, 1916, 143-146. \[1916b\]. “The Indian Day,” \*JRAS\*, 1916, 555-561. \[1917\]. “The Order of the Nakshatras in the Epic, and the Epic Month,” \*JRAS\*, 1917, 135-139. \[1925\]. \*Religion and Philosophy of the Veda\*, 2 vols., \*HOS\* 31-32, Cambridge, Mass. 1925. Kennedy, Edward S. \[1957\]. “Comets in Islamic Astronomy and Astrology,” \*JNES\* 16, 1957, 44-51. \[1958\]. “The Sasanian Astronomical Handbook Zij-i Shāh and the Astrological Doctrine of ‘Transit’ (Mamarr),” \*JAOS\* 78, 1958, 246-262. \[1964\]. “Ramifications of the World-Year Concept in Islamic Astrology,” \*Actes du dixième congrès international d’histoire des sciences\*, 2 vols., Paris 1964, vol. 1, pp. 23-43. Kennedy, E. S., and S. Engle, and J. Wamstad \[1965\]. ### [v1.c5.191.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.3) “The Hindu Calendar as Described in al-Bīrūnī’s Masudic Canon,” \*JNES\* 24, 1965, 274-284. Kennedy, E. S., and A. Muruwwa \[1958\]. “Bīrūnī on the Solar Equation,” \*JNES\* 17, 1958, 112-121. Kennedy, E. S., and B. van der Waerden \[1963\]. “The World-Year of the Persians,” \*JAOS\* 83, 1963, 315-327. Kern, H. \[1863\]. “On Some Fragments of Āryabhaṭa,” \*JRAS\* 20, 1863, 371-387. Reprinted in H. Kern \[1913/29\], vol. 1, pp. 31-46. \[1868/76\]. “The Yogayātrā des Varāhamihira,” \*IS\* 10, 1868, 161-212 (1-3); 14, 1876, 312-358 (4-6); and 15, 1878, 167-184. Reprinted in H. Kern \[1913/29\], vol. 1, pp. 97-168. \[1870/75\]. “The Bṛhat-Saṃhitā; or, Complete System of Natural Astrology of Varāha-mihira. Translated from Sanskrit into English,” \*JRAS\*, 1870, 430-479; 1871, 45-90 and 231-288; 1873, 36-91 and 279-338; and 1875, 81-134. Reprinted in H. Kern \[1913/29\], vol. 1, pp. 169-319, and vol. 2, pp. 1-154. \[1913/29\]. \*Vespreide Geschriften\*, 16 vols., ’s-Gravenhage 1913-1929. Ketkar, D. V. \[1954\]. “Precession in Varaha’s Time was 3° 20’,” \*SC\* 20, 1954, 22-24. \[1959\]. “Date of Kalidasa,” \*PO\* 24, 1959, 109-137. Ketkar, V. B. \[1900/03\]. “Astronomy and its Bearing on the Antiquity of the Aryans,” \*JBBRAS\* 21, 1900-03, 24-33. \[1922\]. “The Use of Astronomical Phenomena in Fixing the Chronological Periods in Indian History,” \*PAIOC\* 1, 1922, 445-459. \[1923\]. \*Indian and Foreign Chronology\*, \*JBBRAS\*, Extra No., Bombay 1923. Khareghat, M. P. \[1895/97\]. ### [v1.c5.191.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.4) “On the Interpretation of Certain Passages in the Pancha Siddhāntikā of Varāhamihira, an Old Hindu Astronomical Work,” \*JBBRAS\* 19, 1895-97, 109-141. \[1950\]. \*Astrolabes\*, M. P. Khareghat Memorial Volume, vol. 2, ed. D. D. Kapadia, Bombay 1950. Kielhorn, F. \[1888/92\]. “Pāṭṇā Inscription of the Time of the Yadava Simghana and his Feudatories Soideva and Hemāḍideva,” \*EI\* 1, 1888-92, 338-346. \[1889a\]. “Tafeln zur Berechnung der Jupiter-Jahre nach den Regeln des Sūrya-Siddhānta und des Jyotiṣtattva,” \*AKGWG\*, Hist.-Phil. Kl. 36, 1889. \[1889b\]. “The Sixty-year Cycle of Jupiter,” \*IA\* 18, 1889, 193-209 and 380-386. \[1891\]. “The Meanings of Vyatīpata,” \*IA\* 20, 1891, 292-293. \[1893\]. “Die Epoche der Cedi-Aera,” \*Festgruss an Rudolf von Roth\*, Stuttgart 1893, pp. 53-56. \[1894/95\]. “Bahāḷ Inscription of the Yadava King Siṃghaṇa,” \*EI\* 3, 1894-95, 110-113. \[1896\]. “Warren’s Rules for Finding Jupiter’s Place,” \*IA\* 25, 1896, 233-237. \[1897\]. “Festal Days of the Hindu Lunar Calendar,” \*IA\* 26, 1897, 177-187. \[1906\]. “Wrongly Calculated Dates, and some Dates of the Lakṣmaṇasena Era, \*JRAS\*, 1906, 1009-1011. Kincaid, C. A. \[1943\]. “The Romance of the Indian Calendar,” \*JRAS\*, 1943, 255-259. Kirfel, Willibald \[1920\]. \*Die Kosmographie der Inder\*, Bonn 1920. Reprinted Hildesheim 1967. \[1927\]. \*Das Purāṇa Pañcalakṣaṇa\*, Leiden 1927. \[1954\]. \*Das Purāṇa vom Weltgebäude\*, \*BOS\*, NS 1, Bonn 1954. \[1959a\]. Zur Eschatologie von Welt und Leben, \*BOS\* NS 5, Bonn 1959. \[1959b\]. ### [v1.c5.191.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.5) “Vergleichs-und Beiworte der Sonne im Rg-und Atharvaveda,” \*Jñānamuktāvali\*, New Delhi 1959, pp. 111-119. Kittel, F. \[1873\]. “Notes Concerning the Numerals of the Ancient Dravidians,” \*IA\* 2, 1873, 24-25 and 124. Kohl, Josef Friedrich. \[1938\]. “Der Zodiac des Śiva-Tempels im Fort von Trichinopoly,” \*ZDMG\* 92, 1938, 28-46. Kokaje, Raghunath Sastri. \[1952\]. “Pañcāṅga, jyotiṣa, ani dhar-maśāstra,” \*Kevelananda Commemoration Volume\*, 1952, pp. 36-42. Konow, Sten. \[1926\]. “Some New Facts about the Eras of the Kharoṣṭhī Inscriptions,” \*AO\* 5, 1926, 28-38. \_\_\_\_\_\_. \[1929\]. \*Kharoṣṭhī Inscriptions\*, CII 2, 1, Calcutta 1929. Konow, S., and W. E. van Wijk. \[1924\]. “The Eras of Indian Kharoṣṭhī Inscriptions,” \*AO\* 3, 1924, 53-91. Kosambi, D. D. \[1941/42\]. “On the Study and Metrology of Silver Punch-marked Coins,” \*NIA\* 4, 1941-42, 1-62. \_\_\_\_\_\_. \[1952\] “The Cintāmaṇisāraṇikā of Daśabala,” \*JOR\* Madras 19, 2, 1952, suppl. Krishnadas, Ray. \[\_\_\_\_\_\_\]. “Prācīna bhāratīya pañcāṅga aura rāmacarita samayāvali,” \*NPP\* 59, \_\_\_\_\_\_, 93-115. Krishnamurthy, R. \[1943\]. “Reform of the Hindu Calendar,” \*MS\* 11, 1943, 81-83. \_\_\_\_\_\_. \[1945\]. “Precession or Ayanamsa,” \*MS\* 13, 1945, 77-81. \_\_\_\_\_\_. \[1948\]. “References to Zodiacal Signs and Week-days in the Vedas,” \*PAIOC\* 14, 1948, 13-15. \_\_\_\_\_\_. \[1950\] “Devas and Asuras in Astronomy,” \*JDHC\* 1, 1950, 91-95. Krishnarao, Bhavaraja Venkata. \[1956\]. “The Initial Year of the Ganga Era of Kalinga,” \*JBRS\* 42, 1956, 116-141. Krishnaswami, G. V. \[1930\]. ### [v1.c5.191.6](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.6) “Reform of the Indian Calenders,” \*Isis\* 14, 1930, 403-410. Kṛṣṇa, Baṭe. \[1959\]. “A Note on Dr. P. K. Gode’s Paper on Vāstuśiromaṇi,” \*ABORI\* 40, 1959, 376-379. Kulkarni, Bhaurao Rangnath. \[1943\]. \*The Lagna System of the Vedanga-Jyotisha\*, RSMEP 1, Dhulia 1943. \_\_\_\_\_\_. \[1944\]. “The Vedic Background of the Epoch of the Vikrama Era,” \*Saṃśodhaka\* 13, 1944 (in Marathi). \_\_\_\_\_\_. \[1947\]. “The ‘Pushya Period’ in the Vedic Culture,” \*PIHC\* 10, 1947, 126-128. \_\_\_\_\_\_. \[1948\]. “Some Astronomical References from the Arthashastra and their Significance,” \*JUB\* 17, 1, (History, Economics and Sociology 33), 1948, 1-3. (Kumbha). \[1927\]. \*Highways in Astrology\*, Madras 1927. Lahiri, N. C. \[1941\]. “The Length of the Year in Hindu Astronomy,” \*IC\* 8, 1941, 114-116. Lal, Jagdish. \[1943\]. “Yogayātrā,” \*Oriental College Magazine\*, Lahore, Nov. 1943. Reprinted Lahore, 1944. Lanman, Charles Rockwell. \[1893\]. “Rigveda V 40 and its Buddhist Parallel,” \*Festgruss an Rudolf von Roth\*, Stuttgart 1893, pp. 187-190. Lapšin, V. I. \[1838\]. “O kvadrature kruga u indiitsev i besko-nechnykh rṙadakh,” \*JMNP\* 20, 1838, 528-551. Larwood, H. J. C. \[1962\]. “Western Science in India before 1850,” \*JRAS\*, 1962, 62-76. Law, N. N. \[1960/61\]. “Age of the Ṛgveda,” \*IHQ\* 36-37, 1960-61, suppl. Le Gentil de la Galaisiere, G.J.H.J.B. \[1772\]. “Premier mémoire sur l’Inde, particulièrement sur quelques points de l’astronomie des gehtils tamoults sur Pondichery & ses environs,” \*MHARS\*, 1772, pt. 2, 169-214 and 221-266. ### [v1.c5.191.7](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.7) \_\_\_\_\_\_. \[1784\]. “Remarques et observations sur l’astronomie des indiens, & sur l’ancienneté de cette astronomie,” \*MHARS\*, 1784, 482-501. Lesley, Mark. \[1957\]. “Bīrūnī on Rising Times and Daylight Lengths,” \*Centaurus\* 5, 1957, 121-141. Leumann, Ernst. \[1928\]. “Die Göttin Aditi und die vedische Astronomie,” \*ZII\* 6, 1928, 1-13. Levi, B. \[1908/09\]. “Osservazioni e congetture sopra la geometria degli indiani,” \*BM\* 3, 9, 1908-09, 97-105. Lewis, C. \[?\]. \*Historical Survey of the Astronomy of the Hindus\*, \[?\]. Löffler, Eugen. \[1912\]. “Zur Geschichte der indischen Ziffern,” \*AMP\* 3, 19, 1912, 174-178. Longhena, M. \[1901\]. “Il catalogo geografico del Kūrmavibhāga nella Bṛhatsaṃhitā,” \*SIFI\* 4, 1901, app., pp. 1-11. Loria, Gino. \[1933\]. “La geometria degli altari eretti in onore di Brahma,” \*Archeion\* 15, 1933, 395-407. Loria, G., and A. N. Singh. \[1937\] “Sur un système d’équations algébriques considéré par les Indiens,” \*Mathesis\* 51, 1937, 327-330. Löschhorn, Karl. \[1902\]. “Über das Alter des Pythagoraischen Lehrsatzes,” \*ZMNU\* 33, 1902, 183. Lüders, H. \[1933\]. “Zur Geschichte des ostasiatischen Tierkreises,” \*SPAW\*, Phil.-hist. Kl. 24, 1933, 998-1022. Ludwig, A. \[1885\]. “Über die Erwähnung von Sonnenfinsternissen im Ṛgveda,” \*SKBGW\*, Philos.-histor.-philolog. Classe 1885, 76-90. \_\_\_\_\_\_. \[1894\]. \*The Late Prof. D. Dwight Whitney’s Views on the Solar Eclipses Mentioned in the Ṛgveda Illustrated\*, Prag 1894. Mackenzie, J. S. F. \[1874\]. ### [v1.c5.191.8](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.8) “Panchāṅga, or Indian Almanac,” \*IA\* 3, 1874, 137-142. Mahapatra, Kedarnath. \[1962a\] Raghunātha Dāsa, A Celebrated Author of Some Sanskrit Works of Orissa,” \*OHRJ\* 11, 1962, 73-84. \_\_\_\_\_\_. \[1962b\]. “Reckoning of Chāturmāsi, Lunar and Solar Months and Different Eras in Orissa,” \*OHRJ\* 11, 1962, 135-146. Majmudar, M. R. \[1961\]. “A Dated MS of the Kākarutaśāstra Illustrated in the Western Indian Style,” \*Lalit Kalā\* 9, 1961, 55-56. Majumdar, R. C. \[1953\]. “Growth of Scientific Spirit in Ancient India,” \*SC\* 18, 1953, 463-472. \_\_\_\_\_\_. \[1959\]. “The Value of Astronomical Data in Ancient Indian Inscriptions,” \*JBRS\* 45, 1959, 10-12. \_\_\_\_\_\_. \[1960\]. “Scientific Spirit in Ancient India,” \*CHM\* 6, 1960, 265-273. Reprinted in G. S. Métraux and F. Crouzet, ed., \*Studies in the Cultural History of India\*, Agra 1965, pp. 103-114. Makoday, G. B. \[1933\]. “The Date of Karkācārya,” \*IHQ\* 9, 1933, 923-929. Malurkar, S. L. \[1958\]. “Determination of Seasons and Equinoxes in Old India and Related Festivals,” \*JAS Bombay\*, NS 33, 1958, 101-105. \_\_\_\_\_\_. \[1963/64\]. “Determination of Seasons, Religious Festivals and Temples in Ancient India,” \*QJMS\* 54, 1963-64, 18-29. Mankad, D. R. \[1930/31\]. “The Arctic Regions in the Ṛgveda,” \*ABORI\* 12, 1930-31, 260-273. \_\_\_\_\_\_. \[1941/42\]. “The Yugas,” \*PO\* 6, 1941-42, 206-216. \_\_\_\_\_\_. \[1942\]. “The Manvantara,” \*IHQ\* 18, 1942, 208-230. \_\_\_\_\_\_. \[1943\]. “Chronology of Kali Dynasties,” \*PO\* 8, 1943, 87-99 and 177-187. \_\_\_\_\_\_. \[1947\]. ### [v1.c5.191.9](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191.9) “A Critically Edited Text of the Yuga-Purāṇa,” \*JUPHS\* 20, 1947, 32-64. Reprinted Vallabhvidyanagar 1951. \_\_\_\_\_\_. \[1951\]. \*Puranic Chronology\*, Anand 1951. Marar, K. Mukunda, and C. T. Rajagopal. \[1944\]. “On the Hindu Quadrature of the Circle,” \*JBBRAS\*, NS 20, 1944, 65-82. \_\_\_\_\_\_. \[1945\]. “Gregory’s Series in the Mathematical Literature of Kerala,” \*MS\* 13, 1945, 92-98. Marre, Aristide. \[1887\]. “Theorème du carré de hypotenuse,” \*BB\* 20, 1887, 404-406. Marsden, William. \[1790\]. “On the Chronology of the Hindoos,” \*PTRSL\* 80, 1790, 560-584. Mason, Francis. \[1865\]. “Religion, Mythology, and Astronomy among the Karens,” \*JAS Bengal\* 24, 2, 1865, 173-188 and 195-250. Mayer, L. A. \[1956\]. \*Islamic Astrolabists and their Works\*, Genève 1956. Mazumdar, Narendra Kumar (=Majumder). \[1911/12\]. “Aryabhatta’s rule in relation to Indeterminate Equations of the First Degree,” \*BCMS\* 3, 1911-12, 11-19. \_\_\_\_\_\_. \[1913/14\]. “On Chinese Indeterminate Analysis,” \*BCMS\* 5, 1913-14, 9-11. \_\_\_\_\_\_. \[1921\]. “Dhikoti-Karanam of Śrīpati,” \*JAS Bengal\*, NS 17, 1921, 273-278. \_\_\_\_\_\_. \[1922a\]. “Mānava Śulba Sūtram,” \*IDL/UC\* 8, 1922, 327-342. --- Source: [https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191) · Pramāṇa