[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 # Census of the Exact Sciences in Sanskrit, Series A v1: Volume 1 Census of the Exact Sciences in Sanskrit, Series A v1 - **Language:** English ## Contents - [v1.c1 Front matter](https://indike.org/pramana/ins.science.pingree-1970.v1.c1) — 15 parts - [v1.c2 Preface](https://indike.org/pramana/ins.science.pingree-1970.v1.c2) — 3 parts - [v1.c3 Introduction](https://indike.org/pramana/ins.science.pingree-1970.v1.c3) — 5 parts - [v1.c4 Abbreviations of Journals and Serials](https://indike.org/pramana/ins.science.pingree-1970.v1.c4) — 2 parts - [v1.c5 Bibliography](https://indike.org/pramana/ins.science.pingree-1970.v1.c5) — 284 parts - [v1.c6 List of Catalogues of Sanskrit Manuscripts and Books](https://indike.org/pramana/ins.science.pingree-1970.v1.c6) — 218 parts - [v1.c7 Census of the Exact Sciences in Sanskrit](https://indike.org/pramana/ins.science.pingree-1970.v1.c7) — 553 parts ### Volume 1 ### Front matter ### [v1.c1.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.1) CENSUS OF THE ### [v1.c1.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.2) EXACT SCIENCES ### [v1.c1.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.3) IN SANSKRIT ### [v1.c1.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.4) SERIES A, VOLUME I ### [v1.c1.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.5) DAVID PINGREE ### [v1.c1.6](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.6) Ex LIBRIS UNIVERSITATIS ALBERTAENSIS ### [v1.c1.7](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.7) QUAECUMQUE VERA ### [v1.c1.8](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.8) MEMOIRS OF THE AMERICAN PHILOSOPHICAL SOCIETY \*Held at Philadelphia\* \*For Promoting Useful Knowledge\* Volume 81 ### [v1.c1.9](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.9) CENSUS OF THE EXACT SCIENCES ### [v1.c1.10](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.10) SERIES A, VOLUME 1 ### [v1.c1.11](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.11) DAVID PINGREE ### [v1.c1.12](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.12) \*Oriental Institute, University of Chicago\* ### [v1.c1.13](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.13) AMERICAN PHILOSOPHICAL SOCIETY INDEPENDENCE SQUARE • PHILADELPHIA ### [v1.c1.14](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.14) Copyright © 1970 by The American Philosophical Society ### [v1.c1.15](https://indike.org/pramana/ins.science.pingree-1970.v1.c1.15) Library of Congress Catalog Card Number 70-115882 ### Preface ### [v1.c2.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c2.1) The author in this volume and in its hoped for successors summarizes the material relating to jyotiḥśāstra that he has been collecting since 1955 in various libraries in America, Europe, and India. He is indebted to the authorities of these institutions, and in particular to those of Widener Library at Harvard; the David E. Smith Collection at Columbia; the Library of the University of Pennsylvania; the Library of the University of Chicago; the British Museum and the India Office Library in London; the Bodleian Library; the Bibliothèque Nationale in Paris; the Staatsbibliothek in Berlin; the Universitätsbibliothek in Leipzig; the Biblioteca Nazionale in Firenze; the Bhandarkar Oriental Research Institute, the Deccan College, and the Ānandāśrama in Poona; the Asiatic Society and the University of Bombay in Bombay; the Oriental Institute in Baroda; the Gujarat Vidyā Sabhā, the L.D. Institute, and the B.J. Institute in Ahmadabad; the Scindia Oriental Research Institute in Ujjain; the Viśveśvarānanda Vedic Research Institute in Hoshiarpur; the Sarasvatī Bhavana in Benares; the Vīra Pustakālaya and Kaisar Shamsher Rana in Kathmandu; the Asiatic Society and Sanskrit College in Calcutta; the Oriental Institute in Mysore; the Government Oriental Manuscripts Library in Madras; and the Sarasvati Mahal Library in Tanjore. He must also express his profound gratitude to the American Philosophical Society for a grant that enabled him to visit India in the summer of 1965 and to investigate many manuscript collections at that time. But the individual to whom this cataloguer owes most is India's foremost student of Sanskrit manuscripts, Professor V. Raghavan of the University of Madras, who most generously made available his numerous handwritten catalogues of Indian and European collections. May this work prove as useful to the students of jyotiḥśāstra as Raghavan's \*New Catalogus Catalogorum\* is to the students of Sanskrit literature in general. ### [v1.c2.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c2.2) This image appears to be a blank page. There is no text to transcribe. ### [v1.c2.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c2.3) in 2018 with funding from ### Introduction ### [v1.c3.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c3.1) This is the first installment of a projected \*Census of the Exact Sciences in Sanskrit\* (hereafter to be referred to as CESS), which will provide all available bibliographical information concerning works in \*jyotiḥśāstra\* and related fields and biographical information concerning their authors. \*Jyotiḥśāstra\* is traditionally divided into three \*skandhas\* or branches: \*horā\* or genethlialogy and other forms of horoscopic astrology, \*gaṇita\* or mathematics and mathematical astronomy, and \*saṃhitā\* or divination. The related fields to which attention is paid in CESS are cosmology and geography (largely of the Jainas) and those aspects of \*dharmaśāstra\* that involve the determination of the proper times for the performance of ritual acts. It is intended to include all of the works and all of the authors in these subjects that can be identified. ### [v1.c3.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c3.2) CESS will consist of two series: Series A will contain articles on the authors arranged in the order of the Sanskrit alphabet, and Series B articles on the books (mainly in Sanskrit, though some non-Sanskritic Indian material is included) arranged in the same manner. A concluding volume will contain tables of astronomical parameters, genealogical stemmata of authors and scribes, and indices of scribes and of proper names. The core of CESS is formed by the entries in the catalogues listed on pp. 26-32 of this volume, supplemented by printed texts (noted in the articles on the relevant authors and books) and the entries in the bibliography on pp. 4-25 of this volume. As new catalogues of manuscripts, editions of texts, and items for the bibliography are constantly appearing, and as material unwittingly omitted from the present lists will undoubtedly turn up, supplements will be included in the subsequent volumes of CESS. The index in the final volume will, of course, facilitate reference to these supplements. ### [v1.c3.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c3.3) The article on each author will first give as much information as is available on his date, ancestry, locale, religious affiliation, and social position; it will then list his works relevant to \*jyotiḥśāstra\* and, under each work, list its commentators, its manuscripts and editions, and any discussions of it; finally, there will be given a table of its contents and those passages in it which inform us about the author. In the case of \*dharmaśāstra\* works dealing with the relationship of astrology to proper human behavior and in the case of texts (mainly Jaina) on cosmology the references are not intended to be complete; it is felt that it is sufficient, by and large, to draw the reader's attention to this extensive material that both depends upon and has influenced \*jyotiḥśāstra\* proper. The articles on books will either consist of a simple reference to the author, if he is known (he can then be looked up in Series A); or, if he is not known, there will be a full discussion of the date and locale of the work, a table of its contents, and a list of manuscripts, editions, and studies. All references to items in the bibliography, it should be noted, are abbreviated to the name of the author (the first and middle names are represented by initials) followed by the year of publication in square brackets; if the author published more than one item in any particular year, the first in the bibliography will be denoted by an \*a\* following the date, the second by a \*b\*, and so on. If a bibliographical item is to be found in one of the supplementary lists, the series letter and volume number (e.g., A 3) in which that supplementary list is found will be prefixed to the code. ### [v1.c3.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c3.4) CESS A 1 contains in their initial form the list of abbreviations of journals and series, the bibliography, the list of manuscript catalogues, and the articles concerning authors whose names begin with \*a, ā, i, ī, u, ū, ṛ, ḷ, e, ai, o,\* and \*au\*. It is hoped that Series A can be completed in four more volumes, and Series B in a total of another five or six volumes. There will be an interval of approximately one year between the appearances of successive volumes. ### [v1.c3.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c3.5) There have been two previous attempts to collect information regarding Indian astronomers and astrologers (S. Dvivedin \[1892\] and S. B. Dikshit \[1896\]), and one to gather the references to manuscripts (S. N. Sen \[1966\]). However, none of these approaches the coverage of the present work, or it is to be hoped, its accuracy and usefulness. That usefulness should lie in providing a preliminary exploration and organization of the vast mass of Sanskrit and Sanskrit-influenced literature devoted to the exact sciences (including astronomy, mathematics, astrology, and divination), and in detailing under each item not only what preceding work has been done, but what manuscript material is known to be available for future investigations. It is hoped that the publication of CESS will stimulate future editions and studies of \*jyotiḥśāstra\*. ### Abbreviations of Journals and Serials ### [v1.c4.1.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c4.1.1) AA—\*Artibus Asiae\* AAWB—\*Abhandlungen der Akademie der Wissenschaften zu Berlin\* ABORI—\*Annals of the Bhandarkar Oriental Research Institute\* AE—\*Ancient Egypt\* AGM—\*Abhandlungen zur Geschichte der Mathematik\* AHES—\*Archive for History of Exact Sciences\* AIHS—\*Archives internationales d'histoire des sciences\* AJ—\*Astronomisches Jahrbuch\* A(K)GWG—\*Abhandlungen der (Königlich) Gesellschaft der Wissenschaften zu Göttingen\* ALS—\*Adyar Library Series\* AMM—\*American Mathematical Monthly\* AMP—\*Archiv der Mathematik und Physik\* AMSHU—\*Abhandlungen aus dem Mathematischen Seminar der Hamburgischen Universität\* AO—\*Acta Orientalia\* AP—\*Aryan Path\* AR—\*Asiatic(k) Researches\* (continues as \*JAS Bengal\*) ARASI—\*Annual Report of the Archaeological Survey of India\* \*Archeion\* Arch Or—\*Archiv Orientální\* Arch SS—\*Archivio di storia della scienza\* A Rel.—\*Archiv für Religionswissenschaft\* AS—\*Annals of Science\* ASINIS—\*Archaeological Survey of India, New Imperial Series\* ASVOI—\*Annals of the Sri Venkatesvara Research Institute\* (continued as \*JSVOI\*) AUS—\*Allahabad University Studies\* BARB—\*Bulletin de l'Académie royale de Belgique\* BB—\*Bullettino di bibliografia di storia delle scienze matematiche e fisiche\* BCMS—\*Bulletin of the Calcutta Mathematical Society\* BGOM—\*Bulletin of the Government Oriental Manuscripts Library Madras\* BDCRI—\*Bulletin of the Deccan College Research Institute\* \*Bhāratī\* \*Bhāratīya Vidyā\* BI—\*Bibliotheca Indica\* BIFAO—\*Bulletin de l'Institut Français d'Archéologie Orientale\* BISR—\*Beiträge zur indischen Sprachwissenschaft und Religionsgeschichte\* BM—\*Bibliotheca Mathematica\* BMAUA—\*Bulletin of the Mathematical Association of the University of Allahabad\* BMPG—\*Bulletin of the Museum and Picture Gallery, Baroda\* BNISI—\*Bulletin of the National Institute of Sciences of India\* BO—\*Bibliotheca Orientalis\* BOS—\*Bonner Orientalistische Studien\* \*Brahmavidyā\* BSM—\*Bulletin de sciences mathématiques\* BSMF—\*Bulletin de la Société Mathématique de France\* BSO(A)S—\*Bulletin of the School of Oriental (and African) Studies\* BSS—\*Benares Sanskrit Series\* BVKSGWL—\*Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig\* \*Centaurus\* CHM—\*Cahiers d'histoire mondiale\* CII—\*Corpus Inscriptionum Indicarum\* COJ—\*Calcutta Oriental Journal\* CR—\*Calcutta Review\* CRHSAS—\*Comptes rendus hebdomadaires des séances de l'Académie des Sciences\* CSRSGR—\*Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores\* DCMS—\*Deccan College Monograph Series\* EI—\*Epigraphia Indica\* ER—\*Edinburgh Review\* EUA—\*Enciclopedia Universale dell'Arte\* EW—\*East and West\* \*Ganita\* GOS—\*Gaekwad Oriental Series\* GOS (Bombay)—\*Government Oriental Series\* \*Grundriss\*—\*Grundriss der Indo-Arischen Philologie und Altertumskunde\* \*Hindū Viśvavidyālaya Nepāla Rājīya Saṃskṛta Granthamālā\* HOS—\*Harvard Oriental Series\* HR—\*Hindustan Review\* HRel—\*History of Religion\* HSS—\*Haridas Sanskrit Series\* IA—\*Indian Antiquary\* IC—\*Indian Culture\* IHQ—\*Indian Historical Quarterly\* IIJ—\*Indo-Iranian Journal\* IIQF—\*Indo-Iranische Quellen und Forschungen\* IJHS—\*Indian Journal of the History of Science\* IMI—\*Istoriko-matematicheskie issledoviia\* IPSS—\*Indian Positive Sciences Series\* IS—\*Indische Studien\* \*Isis\* Islam C—\*Islamic Culture\* ISPP—\*Indian Studies Past and Present\* IT—\*Indian Thought\* JA—\*Journal Asiatique\* JAHRS—\*Journal of the Andhra Historical Research Society\* \*Jaina Ant.\*—\*Jaina Antiquary\* JAOS—\*Journal of the American Oriental Society\* JARS—\*Journal of the Assam Research Society\* JAS—\*Journal of the Asiatic Society\* JAS Bengal—\*Journal of the Asiatic Society of Bengal\* (continues as \*J(R) ASB/L\* and \*J(R) ASB/S\*) JAS Bombay—\*Journal of the Asiatic Society of Bombay\* (continues as \*JBBAS\*) JAU—\*Journal of the Annamalai University\* JBAA—\*Journal of the British Astronomical Association\* JBBAS—\*Journal of the Bombay Branch of the Royal Asiatic Society\* (continues as \*JAS Bombay\*) JB(O)RS—\*Journal of the Bihar (and Orissa) Research Society\* JDHC—\*Journal of Deccan History and Culture\* JDL/UC—\*Journal of the Department of Letters, University of Calcutta\* JDMV—\*Jahresbericht der Deutschen Mathematiker-Vereinigung\* JDS/UC—\*Journal of the Department of Science, University of Calcutta\* JGJRI—\*Journal of the Ganganatha Jha Research Institute\* JGRS—\*Journal of the Gujarat Research Society\* JIBS—\*Journal of Indian and Buddhist Studies\* JIH—\*Journal of Indian History\* JIMS—\*Journal of the Indian Mathematical Society\* JIMS/NQ—\*Journal of the Indian Mathematical Society. ### [v1.c4.1.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c4.1.2) Notes and Questions\* JISOA—\*Journal of the Indian Society of Oriental Art\* JJG—\*Jivarāma Jaina Granthamālā\* JKHRS—\*Journal of the Kalinga Historical Research Society\* JMNP—\*Jurnal Ministerstva Narodnogo Prosvešenitā\* JMU—\*Half-yearly Journal of the Mysore University\* JOI Baroda—\*Journal of the Oriental Institute, Baroda\* JOR Madras—\*Journal of Oriental Research, Madras\* JOS—\*Journal of Oriental Studies\* (\*Swadhyaya Mandal\*) JPUHS—\*Journal of the Punjab Historical Society\* JRAS—\*Journal of the Royal Asiatic Society\* J(R) ASB/L—\*Journal of the (Royal) Asiatic Society of Bengal, Letters\* (continues as \*JAS\*) J(R) ASB/S—\*Journal of the (Royal) Asiatic Society of Bengal, Science\* (continues as \*JAS\*) JS—\*Journal des savants\* JSGVC—Jahresbericht der Schlesische Gesellschaft für Vaterländische Cultur JSVOI—Journal of the Sri Venkatesvara Oriental Institute JTSML—Journal of the Tanjore Sarasvati Mahal Library JUB—Journal of the University of Bombay JUG—Journal of the University of Gauhati JUP—Journal of the University of Poona JUPHS—Journal of the Uttar Pradesh Historical Society (formerly Journal of the United Provinces Historical Society) JVSSM—Jaina Vividha Sāhitya Sāstra Mālā JWCI—Journal of the Warburg and Courtauld Institutes JWH—Journal of World History KSS—Kāśī Sanskrit Series LG—Laghu Granthamālā Lucifer Madras GOS—Madras Government Oriental Series MAIB—Mémoires présentés par divers savants à l’Académie des Inscriptions et Belles-Lettres de l’Institut de France MARS—Mémoires de l’Académie Royale des Sciences. ### [v1.c4.1.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c4.1.3) Depuis 1666 jusqu’à 1699 MASB—Memoirs of the Asiatic Society of Bengal MASI—Memoirs of the Archaeological Survey of India Mathematica Mathesis MCBE—Monatliche Correspondenz zur Beförderung der Erd- und Himmels-kunde Medhā. Journal of the Sanskrit University, Rāyapura MGMNT—Mitteilungen zur Geschichte der Medizin, der Naturwissenschaften, und der Technik MHARS—Mémoires. Histoire de l’Académie Royale des Sciences MM—Master Manimālā MPAWB—Monatsberichte der Prussischen Akademie der Wissenschaften zu Berlin MR—Modern Review MS—The Mathematics Student MSS—Mysore Sanskrit Series NAM—Nouvelles annales de mathématiques NIA—New Indian Antiquary NNMRP—The Nava-Nālandā-Mahāvihāra Publication NO—Novy Orient NPP—Nāgarī Pracārinī Patrikā NUJ—Nagpur University Journal OE—Oriens Extremus OH—Our Heritage OHRJ—Orissa Historical Research Journal OLZ—Orientalistische Literaturzeitung OM—Österreichische Mittelschule Osiris PAIOC—Proceedings of the All-India Oriental Congress The Pandit The Pandit (Jaipur) PAOS—Proceedings of the American Oriental Society PAPS—Proceedings of the American Philosophical Society PBMS—Proceedings of the Benares Mathematical Society PhM—Philosophical Magazine PIHC—Proceedings of the Indian History Congress PKG—Prācyavidyāsaṃśodhanālayakannadagranthamālā PM—Periodico di matematiche PO—Poona Orientalist POS—Poona Oriental Series ### [v1.c4.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c4.2) PRASB—Proceedings of the Royal Asiatic Society of Bengal PTRSL—Philosophical Transactions of the Royal Society of London PWSBT—Princess of Wales Sarasvatī Bhavana Texts (continues as SBG) QJMS—Quarterly Journal of the Mythic Society QST—Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik RGSPA—Revue générale des sciences pures et appliquées ROC—Revue de l’orient chrétien RPG—Rājasthāna Purātana Granthamālā ROS—Revue des questions scientifiques RSMEP—Rajwade Samshodhan Mandal’s English Publications RSS—Ravivarma Sanskrit Series Samśodhaka Sāstrīya Granthamālā Nāgapūra SAWB—Sitzungsberichte der Akademie der Wissenschaften zu Berlin SBAW—Sitzungsberichte der Bayerischen Akademie der Wissenschaften SBG—Sarasvati Bhavana Granthamālā SBH—Sacred Books of the Hindus SBS—Sarasvati Bhavana Studies SBW—Studien der Bibliothek Warburg (continues as SWI) SC—Science and Culture Science Scientia SG—Sampūrṇānanda Granthamālā SGVPB—Shree Gauthami Vidya Peeth Bulletin SHAW—Sitzungsberichte der Heidelberger Akademie der Wissenschaften SIFI—Studi italiani di filologia indo-iranica SJS—Singhi Jain Series SKBGW—Sitzungsberichte der Königl. Böhmischen Gesellschaft der Wissenschaften SM—Scripta Mathematica SPAW—Sitzungsberichte der Prussischen Akademie der Wissenschaften zu Berlin SRS—Satya Rishi Series SWI—Studies of the Warburg Institute TAPS—Transactions of the American Philosophical Society TLSM—Transactions of the Literary Society of Madras TRAS—Transactions of the Royal Asiatic Society TRSE—Transactions of the Royal Society of Edinburgh TSS—Trivandrum Sanskrit Series UB—Uttara Bharati VGM—Virasevāmandira Grantha Mālā VIJ—Vishveshvaranand Indological Journal VIPS—Vishveshvaranand Indological Paper Series VIS—Vishveshvaranand Indological Series VNGZ—Viertaljahrsschrift der Naturforschenden Gesellschaft in Zürich VSM—Vidarbha Samśodhana Maṇḍala VSS—Vizianagram Sanskrit Series WZKM—Wiener Zeitschrift für die Kunde des Morgenlandes YASB—Yearbook of the Asiatic Society of Bengal ZDMG—Zeitschrift der Deutschen Morgenländischen Gesellschaft ZII—Zeitschrift für Indologie und Iranistik ZMNU—Zeitschrift für mathematischen und naturwissenschaftlichen Unterricht ZMP—Zeitschrift für Mathematik und Physik ### Bibliography ### [v1.c5.1.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.1) Abbott, Nabia \[1937\]. “Indian Astrolabe Makers,” \*Islam\* C 11, 1937, 144-146. Abhyankar, K. V. \[1944\]. “The Date and Time of the Bhārata War: a New Approach on Astronomical Considerations,” \*ABORI\* 25, 1944, 116-136. —— \[1946\]. “The Precession of the Equinoxes and its Discovery in India,” \*Acharya Dhruva Smaraka Grantha\*, Ahmadabad 1946, vol. 3, pp. 155-164. —— \[1947a\]. “Omission and Repetition of Tithis or Lunar Days,” \*ABORI\* 28, 1947, 96-111. —— \[1947b\]. “The Indian Origin of the Week-days,” \*PO\* 12, 1947, 62-68. —— \[1962\]. “Kṣayamāsa and Performance of Religious Rites in it,” \*ABORI\* 43, 1962, 159-162. Acharya, B. N. \[1954\]. “Reconciliation of Contradictory Statements in the Works of, and Regarding Practical and Applied Astrology (Phaladeśa),” \*JUB\* 23, 2 (Arts 29), 1954, 92-97. —— \[1957\]. “The Philosophy of Jyotiṣa-śāstra,” \*PAIOC\* (Summaries of Papers) 19, 1957, 141. Acharya, P. \[1962\]. “Note on the Navagraha Slab in the Temples of Orissa,” \*OHRJ\* 11, 1962, 67-72. Acharya, P. K. \[1926\]. “Hindu System of Measurement,” \*AUS\* 2, 1926, 43-77. —— \[1928\]. “Determination of Cardinal Points by Means of a Gnomon,” \*PAIOC\* 5, 1, 1928, 414-427. Agashe, V. T. \[1920/21\]. “The Two Rohinis,” \*ABORI\* 2, 1920-21, 91-96. Agrawala, Ratna Chandra \[1952\]. “A Study of Weights and Measures as Depicted in the Kharoshthi Documents from Chinese Turkestan,” \*JBRS\* 38, 1952, 359-368. Agrawala, V. S. \[1957/58\]. “A Further Reference to Pussamānava,” \*JOI Baroda\* 7, 1957-58, 24. Aiyangar, T. V. ### [v1.c5.1.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.2) Srinivasa. \[1929\]. “The Present Kaliyuga,” \*JOR Madras\* 3, 1929, 225-230. Aiyar, B. V. Kameśvara (=Ayyar). \[1919\]. “The Lunar Zodiac in the Brāhmaṇas,” \*IA\* 48, 1919, 95-97. —— \[1920/23\]. “The Solar Signs in Indian Literature,” \*QJMS\*, 11, 1920-21, 267-279 and 312-326; 12, 1921-22, 67-89; and 13, 1922-23, 511-516 and 614-617. —— \[1921/22\]. “The Age of the Brāhmaṇas,” \*QJMS\* 12, 1921-22, 171-195; 223-249; and 357-366. Aiyar, C. A. Subramania. See C. S. Patel and C. A. S. Aiyar \[1957\]. Aiyar, P. V. Seshu. \[1910\]. “A Historical Note on Indeterminate Equations,” \*JIMS\* 2, 1910, 216-219. Aiyar, T. V. Vedamurthi. See C. T. Rajagopal and T. V. V. Aiyar \[1951\] and \[1952\]. Aiyer, Velandai Gopala. \[1901\]. The Chronology of Ancient India, Madras 1901. Ali, S. M. \[1963\]. “Geography in Ancient India,” \*BNISI\* 21, 1963, 258-280. —— \[1966\]. The Geography of the Puranas, New Delhi 1966. Alsdorf, Ludwig. \[1938\]. “Zur Geschichte der Jaina-Kosmographie und Mythologie,” \*ZDMG\* 92, 1938, 464-493. —— \[1947\]. “Further Contributions to the History of Jain Cosmography and Mythology,” \*NIA\* 9, 1947, 105-128. Annandale, Nelson. \[1905/07\]. “Indian Weighing-beams,” \*MASB\* 1, 1905-07, suppl. iv-v. —— \[1918\]. “A Bismer Weighing-beam from the Darjeeling District,” \*JAS Bengal\*, NS 14, 1918, 243-244. Anonymous. \[1772\]. “Sur l’astronomie des Indiens,” \*MHARS\*, 1772, pt. 2, 93-112. —— \[1834\]. “Professor Schlegel’s Enigma. ### [v1.c5.1.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.3) Mode of Expressing Numerals in the Sanskrit and Tibetan Languages,” \*JAS Bengal\* 3, 1, 1834, 1-8. —— \[1844\]. “The Astronomy of the Hindus,” \*CR\* 1, 1844, 257-290. —— \[1850\]. “The Oriental Astronomer,” \*CR\* 13, 1850, 65-85. —— \[1914/15a\]. “The Date of the Bharata War and Antiquity of Indian Civilization,” \*QJMS\* 5, 1914-15, 115-120. —— \[1914/15b\]. “The Sankranti Festival,” \*QJMS\* 5, 1914-15, 121. Apte, G. S. \[1934\]. “Our Vedic and Modern Calendar,” \*Ojha Commemoration Volume\*, Allahabad 1934 (in Hindi). Apte, R. N. \[1925/26\]. “Some Points Connected with the Constructive Geometry of the Vedic Altars,” \*ABORI\* 7, 1925-26, 1-16. Athavale, V. B. \[1946/47a\]. “The Co-ordination of Bhārata Events,” \*JGJRI\* 4, 1946-47, 125-158. —— \[1946/47b\]. “Date of the Kuru War,” \*JGJRI\* 4, 1946-47, 229-233. —— \[1947\]. “A Summary of the Research Work Done with Regard to the Chronology and Geography of the Events in the Life History of Shri Kṛṣṇa and the Pāṇḍava Brothers,” \*PO\* 12, 1947, 34-39. Atle, Narayan Sastri. \[1943\]. “Bhūpālavallabha,” \*NPP\* 47, 1943, 245-254. Aufrecht, Theodor. \[1891\]. “Ueber die Prauḍhamanoramā von Divākara,” \*ZDMG\* 45, 1891, 303-304. Ayachit, S. M. \[1965\]. “Mahādeva Dīkṣita Somayājin and Hiraṇyakeśi-Śākhā,” \*VSM\*, 1965, 116-137. Ayer, R. Krishnamurthy. \[1951\]. “Ancient and Modern Astronomy,” \*SGPVB\* 2, 1951, 7-9. Ayer, V. A. K. \[1946\]. Everyday Astrology, Bombay 1946. Ayyangar, A. A. Krishnaswami. \[1923/24a\]. “The Hindu Sine-Table,” \*JIMS\* 15, 1923-24, 121-126. ### [v1.c5.1.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.4) —— \[1923/24b\]. “A Classical Indian Puzzle-Problem,” \*JIMS\* 15, 1923-24, 214-223. —— \[1925/26\]. “The Mathematics of Aryabhata,” \*QJMS\* 16, 1925-26, 158-179. —— \[1927/29\]. “The Hindu Arabic Numerals,” \*QJMS\* 18, 1927-28, 256-267; and 19, 1928-29, 29-40 and 115-133. —— \[1929/30a\]. “Bhaskara and Samclishta Kuttaka,” \*JIMS/NQ\* 18, 1929-30, 1-7. —— \[1929/30b\]. “New Proofs of Old Theorems,” \*JIMS/NQ\* 18, 1929-30, 151-153. —— \[1929/30c\]. “New Light on Bhaskara’s Chakravala or Cyclic Method of Solving Indeterminate Equations of the Second Degree in Two Variables,” \*JIMS/NQ\* 18, 1929-30, 225-248. —— \[1933\]. “Some Glimpses of Ancient Hindu Mathematics,” \*MS\* 1, 1933, 1-18. —— \[1939\]. “The Bakshāli Manuscript,” \*MS\* 7, 1939, 1-16. —— \[1945\]. “Peeps into India’s Mathematical Past,” \*JMU\*, NS Arts 5, 1945, 101-115. —— \[1950\]. “Remarks on Bhaskara’s Approximation to the Sine of an Angle,” \*MS\* 18, 1950, 12. —— \[1952\]. “Indian Magic Squares,” \*MS\* 20, 1952, 166. Reprinted in \*SM\* 20, 1954, 202. Bag, Amulya Kumar. \[1966a\]. “Binomial Theorem in Ancient India,” \*IJHS\* 1, 1966, 68-74. —— \[1966b\]. “Trigonometrical Series in the Karanapaddhati and the Probable Date of the Text,” \*IJHS\* 1, 1966, 98-106. Bailly, Jean Sylvain. \[1777\]. \*Lettres sur l’origine des sciences\*, 2 vols., Paris 1777. —— \[1787\]. \*Traité de l’astronomie indienne et orientale\*, Paris 1787. Bakhmutskafā, E. IA. \[1960\]. “Stepennye rîady dlîa sin ϑ i cos ϑ v rabotakh Indiiskiikh matematikov XV-XVIII vv.,” \*IMI\* 13, 1960, 325-334. ### [v1.c5.1.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.5) —— \[1961\]. \*Beskoneśnye rîady v rabotakh matematikov iujnoi Indii v XV-XVIII vv.\*, Moskva 1961. Balagangadharan, K. \[1947\]. “A Consolidated List of Hindu Mathematical Works,” \*MS\* 15, 1947, 55-70. ### [v1.c5.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.2) Banerjee, Gauranga Nath. \[1919\]. \*Hellenism in Ancient India\*, Calcutta 1919; 2nd ed., Calcutta 1920. Reprinted Delhi 1961. ### [v1.c5.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.3) Banerjee, Jitendra Nath. \[1925\]. “The Representation of Surya in Brahmanical Art,” IA 54, 1925, 161-171. ### [v1.c5.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.4) \_\_\_\_\_\_. \[1939\]. “Chapter LVIII of Varāhamihira’s Bṛhat-saṃhitā,” PIHC 3, 1939, 176-184. ### [v1.c5.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.5) \_\_\_\_\_\_. \[1948\]. “Surya,” JISOA 16, 1948, 47-100. ### [v1.c5.6](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.6) Banerji, A. \[1960\]. “Identification of Vyāghrataṭī Maṇḍala,” IHQ 36, 1960, 78-79. ### [v1.c5.7](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.7) Banerji, B. N. \[1893\]. \*Easy Oriental Astrology or Ramal-vidya\*, Calcutta 1893. ### [v1.c5.8](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.8) Banerji, Suresh Chandra (=Banerjee). \[1939\]. “Kaḷyāṇavarman, a New Name in the History of Bengal,” PIHC 3, 1939, 577. ### [v1.c5.9](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.9) \_\_\_\_\_\_. \[1941/42\]. “Tithiviveka of Śūlapāṇi,” PO 6, 1941-42, 230-235; and 7, 1942, 85-93. ### [v1.c5.10](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.10) \_\_\_\_\_\_. \[1942/43\]. “Śūlapāṇi, the Sāhuḍiyān,” NIA 5, 1942-43, 145-156 and 169-176. ### [v1.c5.11](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.11) \_\_\_\_\_\_. \[1944/45\]. “Post-Raghunandana Smṛti Writers of Bengal,” NIA 7, 1944-45, 105-110. ### [v1.c5.12](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.12) \_\_\_\_\_\_. \[1957\]. “Minor Smṛti Writers of Bengal,” IHQ 33, 1957, 191-200. ### [v1.c5.13](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.13) Banerji-Sastri, A. \[1928\]. “Weights in Ancient India: Patna Cylinders,” JBORS 14, 1928, 75-82. ### [v1.c5.14](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.14) \_\_\_\_\_\_. \[1937\]. “Aya Months,” JBORS 23, 1937, 261-268. ### [v1.c5.15](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.15) Bardhan, U. C. \[1961\]. “The Concept of Zero in the Mathematics of Ancient India,” SC 26, 1961, 282-285. ### [v1.c5.16](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.16) Bareau, André. \[1959\]. “Constellations et divinités protrectrices des marchands dans le bouddhisme ancien,” JA 247, 1959, 303-309. ### [v1.c5.17](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.17) Barker, Robert. \[1777\]. “An Account of the Brahmin’s Observatory at Benares,” PTRSL 67, 1777, pt. 2, 598-607. ### [v1.c5.18](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.18) Bayer, Gottlieb Siegfried. \[1738\]. \*Historia regni Graecorum Bactriani\*, Petropoli, 1738. ### [v1.c5.19](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.19) Bayley, E. Clive. \[1882/83\]. “On the Genealogy of Modern Numerals,” JRAS, 1882, 335-376 and 1883, 1-72. ### [v1.c5.20](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.20) Bedekar, V. M. \[1960\]. “Śukrācārya in the Mahābhārata,” PO 24, 1960, 91-103. ### [v1.c5.21](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.21) Belaiew, N. T. \[1933\]. “The Bismar in Ancient India,” AE 18, 1933, 76-80. ### [v1.c5.22](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.22) Belḷankin, I. I. \[1908\]. \*Kratkii očerk pazvetiia matematiki ot drevneišikh vremen do našikh dnei\*, Kiev 1908. ### [v1.c5.23](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.23) Bell, E. T. \[1946\]. “Mahavira’s Diophantine System,” BCMS 38, 1946, 121-122. ### [v1.c5.24](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.24) Benedict, Suzan Rose. \[1916\]. \*A Comparative Study of the Early Treatises Introducing into Europe the Hindu Art of Reckoning\* \[Concord, N. H. 1916\]. ### [v1.c5.25](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.25) Bentley, John. \[1797\]. “Remarks on the principal Æras and Dates of the Ancient Hindus,” AR 5, 1797, 315-343. ### [v1.c5.26](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.26) \_\_\_\_\_\_. \[1799\]. “On the Antiquity of the Sūrya Siddhānta, and the Formation of the Astronomical Cycles therein contained,” AR 6, 1799, 537-588. ### [v1.c5.27](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.27) \_\_\_\_\_\_. \[1805\]. “On the Hindu Systems of Astronomy, and their Connection with History in Ancient and Modern Times,” AR 8, 1805, 193-244. ### [v1.c5.28](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.28) \_\_\_\_\_\_. \[1823\]. \*Historical View of Hindu Astronomy\*, Calcutta 1823. Reprinted London 1825. ### [v1.c5.29](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.29) Bergaigne, Abel. \[1885\]. “M. Ludwig et la chronologie du Rg-Veda,” JA 8, 6, 1885, 372-384. ### [v1.c5.30](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.30) Bhagwan Das. \[1920\]. \*Hindu Aryan Astronomy\*, Dehra Dun 1920. ### [v1.c5.31](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.31) Bhandarkar, A. S. \[1941/42\]. “Method of False Assumption’ of Pacioli, an Italian Mathematician,” IC 8, 1941-42, 256-257. ### [v1.c5.32](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.32) \_\_\_\_\_\_. \[1954\]. “The Decimal Notation,” JBBRAS, NS 29, 1, 1954, 94-95. ### [v1.c5.33](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.33) Bhandarkar, D. R. \[1902\]. “The Ājīvikas,” JBBRAS 20, 1902, 399-405. ### [v1.c5.34](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.34) Bhandarkar, Ramkrishna Gopal. \[1887/89\]. “The Epoch of the Gupta Era,” JBBRAS 17, 1887-89, pt. 2, 80-98. Reprinted in R. G. Bhandarkar \[1927/33\] vol. 3, pp. 384-405. ### [v1.c5.35](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.35) \_\_\_\_\_\_. \[1927/33\]. \*Collected Works of Sir R. G. Bhandarkar\*, ed. N. B. Utgikar and V. G. Paranjpe, GOS (Bombay) B 1-4, 4 vols., Poona 1927 (vol. 3), 1928 (vol. 2), 1929 (vol. 4), and 1933 (vol. 1). ### [v1.c5.36](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.36) Bharadwaj, B. M. \[1945\]. \*Astrology of Annual Readings\*, Shipur \[1945\]. ### [v1.c5.37](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.37) Bhat, M. Manappa. \[1945\]. “Mathematics in Karnataka of the Middle Ages,” \*Bhārata-Kaumudi\*, vol. 1, Allahabad 1945, 127-136. ### [v1.c5.38](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.38) Bhatt, Harihar P., and B. K. Patwa. \[1945\]. “The Heliacal Risings and Settings of Heavenly Bodies,” JGRS 7, 1945, 75-76. ### [v1.c5.39](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.39) Bhatt, P. N. \[1953\]. “Sun-cult in Gujarat and Saurashtra,” PAIOC 17, 1953, 429-436. ### [v1.c5.40](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.40) Bhattacharya, Bhabatosh. \[1941\]. “Khañjana-darśana,” \*A Volume of Studies in Indology\*, POS 75, Poona 1941, 67-69. ### [v1.c5.41](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.41) \_\_\_\_\_\_. \[1941/42\]. “Govindānanda’s Refutation of Śrīdatta’s Views,” IC 8, 1941-42, 263-266. ### [v1.c5.42](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.42) \_\_\_\_\_\_. \[1944/45\]. “Caṇḍeśvara’s Indebtedness to Ballāla Sena,” IC 11, 1944-45, 141-144. ### [v1.c5.43](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.43) \_\_\_\_\_\_. \[1953/54\]. “Raghunandana’s Indebtedness to his Predecessors,” \*JASB/L\* 19, 1953, 151-202; and 20, 1954, 67-176 and 227-312. ### [v1.c5.44](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.44) \_\_\_\_\_\_. \[1961\]. “The \*Varṣakriyākaumudī\* of Govindānanda Kavikaṅkaṇācārya,” \*Brahmavidyā\* 25, 1961, 505-510. ### [v1.c5.45](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.45) \_\_\_\_\_\_. \[1963/64\]. “Studies in \*Dharmaśāstra\*,” ISPP 5, 1963-64, 99-111; 275-281; and 283-309. Reprinted Calcutta 1964. ### [v1.c5.46](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.46) \_\_\_\_\_\_. \[1965/67\]. “Studies in \*Nibandhas\*,” ISPP 7, 1965-66, 113-122 and 451-454; and 8, 1966-67, 37-40; 203-209; 243-265; and 303-330. Reprinted Calcutta 1968. ### [v1.c5.47](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.47) Bhattacharya, R. N., and A. Chattopadhyaya. \[1966/67\]. “The Tibetan Sexagenary Cycle,” ISPP 8, 1966-67, 97-109. ### [v1.c5.48](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.48) Bhattacharya, Tarakeshwar. \[1950/51\]. “The Date of the Bhārata War,” JGJRI 8, 1950-51, 1-76 and 315-354. ### [v1.c5.49](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.49) \_\_\_\_\_\_. \[1953/56\]. “A Forgotten Chapter of the History of Ancient Indian Astronomy,” JGJRI 11-12, 1953-55, 11-54; and 13, 1955-56, 81-118. ### [v1.c5.50](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.50) Bhattacharyya, Dinesh Chandra (=Bhattacharjee). \[1945\]. “Saṃvatsarapradīpa,” IHQ 21, 1945, 145-147. ### [v1.c5.51](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.51) \_\_\_\_\_\_. \[1945/46\]. “Dates of Bhaṭṭotpala and Kaḷyāṇavarman,” IC 12, 1945-46, 81-82. ### [v1.c5.52](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.52) Bhattacharyya, Jagatbandhu. \[1962\]. “On Two Fundamental Concepts of Hindu Trigonometry,” OH 10, 1962, 29-34. ### [v1.c5.53](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.53) Bhattacharyya, Purushottam. \[1943\]. “Ancient Kamarupa in Culture of Astronomy and Kamarupa Nibandhaniya Kandasādhya,” JARS 10, 1943, 73-81. ### [v1.c5.54](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.54) Bhāu Dājī. \[1863\]. “On Ancient Sanskrit Numerals,” JAS Bengal 32, 1863, 161-167. ### [v1.c5.55](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.55) \_\_\_\_\_\_. \[1864/66\]. “The Ancient Sanskrit Numerals in the Cave Inscriptions, and the Sah-Coins, correctly made out; with Remarks on the Era of Śālivāhana and Vikrāmāditya,” JBBRAS 8, 1864-66, 225-233. ### [v1.c5.56](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.56) \_\_\_\_\_\_. \[1865\]. “Brief Notes on the Age and Authenticity of the Works of Āryabhata, Varāhamihira, Brahmagupta, Bhaṭṭotpala, and Bhāskarācārya,” JRAS, 1865, 392-418. ### [v1.c5.57](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.57) Bhide, V. V. \[1959\]. “The Basis of Astrology in the Vedic Literature,” PAIOC 20, 2, 1959, 19-30. ### [v1.c5.58](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.58) Bhonsle, R. Krishna Rao. \[1922\]. “The Differential Calculus in Ancient India,” JIMS 14, 1922, 216-223 (repr. from \*Ind. Rev.\* Nov. 1920 and Oct. 1921). ### [v1.c5.59](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.59) Bhut, Onkar. \[1841\]. \*A Comparison of the Puranic and Siddhantic Systems of Astronomy with that of Copernicus\*, Agra 1841. ### [v1.c5.60](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.60) Billard, Roger. \[1956\]. “Perspectives nouvelles sur l’astronomie indienne,” AA 19, 1956, 186-196. ### [v1.c5.61](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.61) Biot, J. B. \[1840\]. “Sur les nacshatras des Hindous et les mansions lunaires des Arabes,” JS, 1840, 264-279. ### [v1.c5.62](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.62) \_\_\_\_\_\_. \[1845\]. “Sur les nacshatras, ou mansions de la lune selon les Hindoux; extrait d’une description de l’Inde rédigée par un voyageur arabe du xiᵉ siècle,” JS 1845, 39-54. ### [v1.c5.63](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.63) \_\_\_\_\_\_. \[1859\]. Review of Hoisington \[1848\], JS, 1859, 198-211; 271-289; 369-381; 401-418; and 475-498. Reprinted in J. B. Biot \[1862\] 7-145. ### [v1.c5.64](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.64) \[1862\]. \*Études sur l'astronomie indienne et sur l'astronomie chinoise\*, Paris 1862. ### [v1.c5.65](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.65) Biswas, Dilip Kumar. \[1949\]. "The Maga Ancestry of Varāhamihira," \*IHQ\* 25, 1949, 175-183. ### [v1.c5.66](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.66) \[1952\]. "Two Solar Legends Re-examined," \*OHRJ\* 1, 1952, 26-30. ### [v1.c5.67](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.67) \[1953\]. "Origin and Antiquity of the Sūrya Image in India," \*PIHC\* 16, 1953, 54-56. ### [v1.c5.68](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.68) Blochet, E. \[1925/28\]. "Les sources grecques et chrétiennes de l'astronomie hindoue," \*ROC\* 3, 5, 1925-26, 400-441; and 3, 6, 1927-28, 32-73. ### [v1.c5.69](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.69) Bobynin, V. V. \[1917\]. \*Drevneindusekaťa matematika i otnošenîu k nei Drevnei Gretsii\*, Izvestiia Fiziko-matematičeskogo obšestva pri Kazanskom universitete 22, 2, Kazan 1917. ### [v1.c5.70](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.70) Boileau, J. T. \[1833\]. "Description of a Sun-dial in the Court of the Moti Musjid, in the Fort of Agra," \*JAS Bengal\* 1, 1833, 251. ### [v1.c5.71](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.71) Bourquin, A. \[1885\]. "Considérations sur le calendrier védique et sur quelques points de l'astronomie, de l'astrologie et du ritual des indous," \*Actes du sixième congrès international des orientalistes\*, pt. 3, 2, Leide 1885, pp. 607-623. ### [v1.c5.72](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.72) Boyer, Carl B. \[1943\]. "An Early Reference to Division by Zero," \*AMM\* 50, 1943, 487-491. ### [v1.c5.73](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.73) Brennand, W. \[1896\]. \*Hindu Astronomy\*, London 1896. ### [v1.c5.74](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.74) Brockhaus, Hermann \[1842\]. "Zur Geschichte des indischen Ziffernsystems," \*ZDMG\* 4, 1842, 74-83. ### [v1.c5.75](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.75) \[1852\]. "Über die Algebra des Bhāskara," \*BVKSGWL\*, Phil.-hist. Kl. 4, 1852, 1-46. ### [v1.c5.76](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.76) Brown, Charles Philip. \[1863\]. \*Carnatic Chronology. The Hindu and Mahomedan Methods of Reckoning Time Explained\*, London 1863. ### [v1.c5.77](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.77) Buchner, Friedrich. \[1821\]. \*De algebra Indorum\*, Elbingae \[1821\]. ### [v1.c5.78](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.78) Bühler, Georg. \[1892/94\]. "The Two Praśastis of Baijnāth," \*EI\* 1, 1892-94, 97-118. ### [v1.c5.79](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.79) \[1894\]. "Note on Prof. Jacobi's Age of the Veda and on Prof. Tilak's Orion," \*IA\* 23, 1894, 238-249. ### [v1.c5.80](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.80) \[1896\]. \*Indische Palaeographie\*, Grundriss 1, 11, Strassburg 1896. ### [v1.c5.81](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.81) Burgess, Ebenezer. \[1859\]. "The Relation Between the Greek and Hindu Astronomers," \*PAOS\* 6, 1859, 8. ### [v1.c5.82](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.82) \[1860\]. "Translation of the Sūrya-Siddhānta," \*JAOS\* 6, 2, 1860, 141-498. Reprinted New Haven 1860; Calcutta 1935. ### [v1.c5.83](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.83) \[1866\]. "On the Origin of the Lunar Division of the Zodiac," \*JAOS\* 8, 1866, 309-334. ### [v1.c5.84](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.84) Burgess, James. \[1885\]. "The Probable Indian Origin of the Names of the Days of the Week," \*IA\* 14, 1885, 322-323. ### [v1.c5.85](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.85) \[1890a\]. "The Romaka Siddhantas," \*IA\* 19, 1890, 284-285. ### [v1.c5.86](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.86) \[1890b\]. "The Pulisa-Siddhanta," \*IA\* 19, 1890, 316. ### [v1.c5.87](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.87) \[1891\]. "The Sines of Arcs in the Panchasiddhantika," \*IA\* 20, 1891, 228. ### [v1.c5.88](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.88) \[1893\]. "Notes on Hindu Astronomy and the History of our Knowledge of it," \*JRAS\*, 1893, 717-761. ### [v1.c5.89](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.89) \[1904\]. "The Navagraha or Nine Planets, and their Names," \*IA\* 33, 1904, 61-66. ### [v1.c5.90](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.90) Bürk, Albert. \[1901/02\]. "Das Āpastamba-Śulba-Sūtra," \*ZDMG\* 55, 1901, 543-591 and 56, 1902, 327-391. ### [v1.c5.91](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.91) Burnell, Arthur Coke. \[1878\]. \*Elements of South-Indian Palaeography\*, 2nd ed. London 1878. ### [v1.c5.92](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.92) Burrow, Reuben. \[1790\]. "A Proof that the Hindus had the Binomial Theorem," \*AR\* 2, 1790, 487-497. ### [v1.c5.93](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.93) \[1792\]. "A Demonstration of One of the Hindoo Rules of Arithmetic," \*AR\* 3, 1792, 145-147. ### [v1.c5.94](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.94) Cajori, F. \[1938\]. \*A History of Mathematics\*, 2nd ed., New York 1938. ### [v1.c5.95](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.95) Caland, W. \[1926\]. "Rāhu im Veda," \*Beiträge zur Literaturwissenschaft und Geistesgeschichte Indiens\* (Festgabe Hermann Jacobi), Bonn 1926, pp. 240-241. ### [v1.c5.96](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.96) Call, John. \[1772\]. "A Letter to Nevil Maskelyne Containing a Sketch of the Signs of the Zodiac, Found in a Pagoda, near Cape Comorin in India," \*PTRSL\* 62, 1772, 353-356. ### [v1.c5.97](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.97) Cammann, Schuyler. \[1968/69\]. "Islamic and Indian Magic Squares, Part I," \*H Rel\* 8, 1968-69, 181-209. ### [v1.c5.98](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.98) Cantor, Moritz. \[1877\]. "Gräko-Indische Studien," \*ZMP\* 22, 1877, Hist.-lit. Abt., 1-23. ### [v1.c5.99](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.99) \[1904\]. "Über die älteste indische Mathematik," \*AMP\* 3, 8, 1904, 63-72. ### [v1.c5.100](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.100) Carra de Vaux, Bernard. \[1917a\]. "Notes d'histoire des sciences," \*JA\* 11, 10, 1917, 449-461. ### [v1.c5.101](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.101) \[1917b\]. "Sur l'origine des chiffres," \*Scientia\* 21, 1917, 273-282. ### [v1.c5.102](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.102) Cassini, Giovanni Domenico. \[1691\]. "Régles de l'astronomie Siamoise" in \*S. de La Loubère\* \[1691\] vol. 2, pp. 141-294. Reprinted in \*MARS\* vol. 8, Paris 1730, pp. 211-299 and vol. 5, La Haye 1731, pp. 279-362. ### [v1.c5.103](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.103) Caudhuri, Pratāpacandra. See M. Śāstrin and P. Caudhuri \[1964\]. ### [v1.c5.104](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.104) Cavendish, Henry. \[1792\]. "On the Civil Year of the Hindoos, and its Divisions; with Account of Three Hindoo Almanacs Belonging to Charles Wilkins, Esq.," \*PTRSL\* 82, 1792, 383-399. ### [v1.c5.105](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.105) Chakrabarti, Sabyasachee. \[1963\]. "Origin of the Ideas of Mathematical Analysis: Archimedes and Bhāskara—a Comparative Study," \*BNISI\* 21, 1963, 287-296. ### [v1.c5.106](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.106) Chakravarti, Chintaharan. \[1929\]. "Date of Ballālasena," \*IHQ\* 5, 1929, 133-135. ### [v1.c5.107](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.107) \[1938\]. "Kāśīnātha Bhaṭṭa and his Works," \*JRASB/L\* 4, 1938, 455-465. ### [v1.c5.108](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.108) Chakravarti, Gurugovinda. \[1932\]. "Growth and Development of Permutation and Combination in India," \*BCMS\* 24, 1932, 79-88. ### [v1.c5.109](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.109) \[1932/33\]. "Typical Problems of Hindu Mathematics," \*ABORI\* 14, 1932-33, 87-102. ### [v1.c5.110](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.110) \[1934a\]. "Growth and Development of Progressive Series in India," \*JDL/UC\* 24, 1934, art. 6, pp. 1-18. ### [v1.c5.111](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.111) \[1934b\]. "The Hindu Terms for Area," \*JDL/UC\* 24, 1934, art. 7, pp. 19-22. ### [v1.c5.112](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.112) \[1934c\]. "On the Earliest Hindu Methods of Quadratures," \*JDL/UC\* 24, 1934, art. 7, pp. 23-28. ### [v1.c5.113](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.113) \[1934d\]. "Surd in Hindu Mathematics," \*JDL/UC\* 24, 1934, art. 8, pp. 23-28. ### [v1.c5.114](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.114) \[1934e\]. "On the Hindu Treatment of Fractions," \*JDL/UC\* 24, 1934, art. 9, pp. 59-76. ### [v1.c5.115](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.115) Chakravarti, Manomohan. \[1906\]. "Sanskrit Literature in Bengal during the Sena Rule," \*JAS Bengal\*, NS 2, 1906, 157-176. ### [v1.c5.116](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.116) \[1915\]. "Contributions to the History of Smṛti in Bengal and Mithilā," \*JAS Bengal\*, NS 11, 1915, 311-406. ### [v1.c5.117](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.117) Chandrasekharan, T., and T. H. Viswanathan. \[1960/61\]. "Jātkaratnākarah with Commentary of Bhenaśekhara Dāsa," \*BGOML\* Madras 13, 2, 1960, 1-34 and 14, 1, 1961, 1-20. ### [v1.c5.118](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.118) Charpentier, Jarl. \[1923/25\]. "A Treatise on Hindu Cosmography from the Seventeenth Century (Brit. Mus. MS. Sloane 2748A)," \*BSOS\* 3, 1923/25, 317-342. ### [v1.c5.119](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.119) Chasles, Michel. \[1836\]. \*Mémoire sur la géometrie des Hindous. Analyse de la partie géometrique des ouvrages de Brahmegupta et de Bhascara Acharya\*, Bruxelles 1836. ### [v1.c5.120](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.120) \[1846\]. "Recherches sur l'astronomie indienne," \*CRHSAS\* 23, 1846, 845-854. ### [v1.c5.121](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.121) \[1875\]. \*Aperçu historique sur l'origine et le développement des méthodes en géométrie\*, 2nd ed., Paris 1875. ### [v1.c5.122](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.122) Chatterjee, Bina. \[1949\]. "Geometrical Interpretation of the Motion of the Sun, Moon and the Five Planets as Found in the Mathematical Syntaxis of Ptolemy and in the Hindu Astronomical Works," \*JRASB/S\* 15, 1949, 41-89. ### [v1.c5.123](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.123) Chatterji, K. C. \[1935a\]. "Ketu in Hindu Astrology," \*COJ\* 2, 10, July 1935, 258. ### [v1.c5.124.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124.1) \[1935b\]. "A Chapter from Varāhamihira on the Defence of Womanhood with an Original Commentary,” COJ 2, 9, June 1935, 17-24. \[1935c\]. “Indian Method of Reading a Horoscope,” COJ 2, 11, August 1935, 271-273. Chattopadhyaya, Alaka. See R. N. Bhattacharya and A. Chattopadhyaya \[1966/67\]. Chaudhuri, B. L. \[1915\]. “The Weighing Beam called Bisá dángá in Orissa, with short notes on some Weights and Measures still current among the rural population of that Division,” JAS Bengal, NS 11, 1915, 9-16. Chhatre, K. L. (= Chatre). \[1874\]. “Nakṣatras,” IA 3, 1874, 206. Chistĭakov, Vasiliĭ Dmitrievich. \[1960\]. Materialy po istorii matematiki v Kitae i Indii, Moskva 1960. Choṭelāl, Lālā (= Bārhaspatya). \[1907\]. “Jyotiṣa,” HR 1907. Reprinted Allahabad 1960. Choudhary, Radhakrishna (= Chowdhary). \[1949\]. “Hindu Contribution to Mathematics,” JOS 1, 1949, 41-46. Chowdary, Kotta Bhavaiah. \[1952/54\]. “Indian Eras,” JAHRS 22, 1952-54, 53-62. Clark, Walter Eugene. \[1929\]. “Hindu-Arabic Numerals,” Indian Studies in Honor of Charles Rockwell Lanman, Cambridge, Mass., 1929, pp. 217-236. \[1937\]. “Science,” The Legacy of India, ed. G. T. Garratt, Oxford 1937, pp. 335-368. Cœdès, G. \[1930/32\]. “A propos de l’origine des chiffres arabes,” BSOS 6, 1930-32, 323-328. Colebrooke, Edward. \[1865\]. “Note on the Preceding Article,” JRAS, 1865, 332-338. Colebrooke, Henry Thomas. \[1797\]. “On Indian Weights and Measures,” AR 5, 1797, 91-109. Reprinted in Colebrooke \[1837\], vol. 1. \[1805\]. ### [v1.c5.124.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124.2) “On the Vedas or Sacred Writings of the Hindus,” AR 8, 1805, 369-476. Reprinted in H. T. Colebrooke \[1837\] vol. 1, pp. 9-113; transl. into German by L. Poley, H.Th. Colebrooke’s Abhandlung über die heiligen Schriften der Inder, Leipzig 1847. \[1807\]. “On the Indian and Arabian Divisions of the Zodiac,” AR 9, 1807, 323-376. Reprinted in Colebrooke \[1837\], vol. 2, pp. 321-373. \[1816\]. “On the Notion of the Hindu Astronomers Concerning the Precession of the Equinoxes and Motions of the Planets,” AR 12, 1816, 209-250. Reprinted in Colebrooke \[1837\], vol. 2, pp. 374-416. \[1817\]. Algebra, with Arithmetic and Mensuration, from the Sanskrit of Brahmagupta and Bhāscara, London 1817. The preface, “Dissertation on the Algebra of the Hindus,” reprinted in Colebrooke \[1837\], vol. 2, pp. 417-531; the Līlāvatī reprinted by H. C. Banerji (see under Bhāskara \[b. 1114\]). \[1837\]. Miscellaneous Essays, 2 vols., London 1837. Reprinted Madras 1872; 2nd ed., 3 vols., London 1873. Colin, Georges S. \[1933\]. “De l’origine grecque des ‘chiffres des Fès’ et de nos ‘chiffres arabes,’” JA 222, 1933, 193-215. Collins, Mark. \[1926\]. On the Octaval System of Reckoning in India, University of Madras: Dravidic Studies 4, Madras 1926. Coomaraswamy, Ananda K. \[1934\]. “Kha and Other Words Denoting Zero in Connection with the Metaphysics of Space,” BSOS 7, 1934, 87-97. Cracroft, William, and J. Prinsep. \[1825\]. “Latitude of the Hindu Observatory at Benares,” AR 15, 1825, app. i-vi. Cunningham, Alexander. \[1883\]. ### [v1.c5.124.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124.3) Book of Indian Eras, with Tables for Calculating Indian Dates, Calcutta 1883. \[1885\]. “The Probable Indian Origin of the Names of the Week-days,” IA 14, 1885, 1-4. Dandekar, R. N. \[1940\]. “New Light on the Vedic God Savitṛ,” PAIOC 10, 1940, 10-11. \[1964\]. “Literature and Sciences in the Age of the Guptas,” JUP 19, 1964, 1-36. Daptarī, Keśava Lakṣmana (= Daptari). \[1929\]. Bhāratīvajyotiḥśāstranirikṣaṇa, Śāstriya Granthamālā Nāgapūra 1, Nāgapūra 1929. \[1942\]. The Astronomical Method and its Application to the Chronology of Ancient India, Nagpur 1942. \[1952\]. “Pañcāṅga āni kāladaṛśa,” Kevalananda Comm. Vol. 1952, pp. 24-29. Das, Sukumar Ranjan. \[1925\]. “Aspects of the History of Hindu Astronomy,” IHQ 1, 1925, 657-676. \[1926\]. “Motion of the Earth as Conceived by the Ancient Indian Astronomers,” BCMS 17, 1926, 173-182. \[1927a\]. “The Origin and Development of Numerals,” IHQ 3, 1927, 97-120 and 356-375. \[1927b\]. “Cosmographical Theories of the Hindu Astronomers,” IHQ 3, 1927, 599-603. \[1927c\]. “Precession and Libration of the Equinoxes in Hindu Astronomy,” JAS Bengal, NS 23, 1927, 403-413. \[1927d\]. “Equation of Time in Hindu Astronomy,” JOR Madras 1, 1927, 366-370. Reprinted in AMM 35, 1928, 540-543. \[1928a\]. “Coordinates Used in Hindu Astronomy,” AMM 35, 1928, 535-540. \[1928b\]. “Parallax in Hindu Astronomy,” BCMS 19, 1928, 29-42. \[1928c\]. “The Alleged Greek Influence on Hindu Astronomy,” IHQ 4, 1928, 68-77. \[1928d\]. “Astronomical Instruments of the Hindus,” IHQ 4, 1928, 256-269. ### [v1.c5.124.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124.4) \[1928e\]. “Hindu Calendar,” IHQ 4, 1928, 483-511. \[1928f\]. “Seasons and the Year-beginning of the Hindus,” IHQ 4, 1928, 653-666. \[1928g\]. “Lunar and Solar Eclipses in Hindu Astronomy,” JAS Bengal, NS 24, 1928, 437-454. \[1928h\]. “Planetary Motions in Hindu Astronomy,” JOR Madras 2, 1928, 129-141. \[1928i\]. “Conjunction of Planets Called Grahayuti in Hindu Astronomy,” JOR Madras 2, 1928, 201-209. \[1930\]. “Some Notes on Indian Astronomy,” Isis 14, 1930, 388-402. \[1931\]. “A Short Chronology of Indian Astronomy,” IHQ 7, 1931, 137-149. \[1932a\]. “Time in Ancient, Mediaeval and Modern Chronology,” Acharyya Ray Commemoration Volume, Calcutta 1932, pp. 483-497. \[1932b\]. “The Jaina School of Astronomy,” IHQ 8, 1932, 30-42 and 565-570. \[1932c\]. “La Théorie des permutations et des combinaisons dans la Ganita hindoue,” PM 4, 12, 1932, 133-140. \[1933a\]. “Notion of Time in Hindu Philosophy,” IHQ 9, 1933, 149-153. \[1933b\]. “The Jaina Calendar,” Isis 18, 1933, 432-437. Reprinted in IHQ 10, 1934, 332-336. \[1936\]. “Scope and Development of Indian Astronomy,” Osiris 2, 1936, 197-219. \[1937\]. “The Nakṣatras or the Constellations in Jaina Astronomy,” Jhā Commemoration Volume, POS 39, Poona 1937, pp. 129-138. \[1939\]. “Time-measurement Ancient, Mediaeval and Modern,” MS 7, 1939, 81-92. Dāsa, Harigovinda. \[1917\]. Haribhadrasūricaritra, JVSSM 2, Benares 1917. Das Gupta, C. C. \[1950\]. “The Numerals in Indian Kharosthi Records,” PIHC 13, 1950, 51-62. Datta, Bibhutibhusan. \[1925/26\]. ### [v1.c5.124.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124.5) “Al-Biruni and the Origin of the Arabic Numerals,” PIHC 13, 1926, 9-23. \[1926a\]. “A Note on the Hindu-Arabic Numerals,” AMM 33, 1926, 220-221. \[1926b\]. “Two Āryabhaṭas of Al-biruni,” BCMS 17, 1926, 59-74. \[1926c\]. “Hindu Values of π,” JAS Bengal, NS 22, 1926, 25-42. \[1926/31\]. “Early Literary Evidence of the Use of the Zero in India,” AMM 33, 1926, 449-454; and 38, 1931, \[1927a\]. “On Mūla, the Hindu Term for ‘Root,’” AMM 34, 1927, 420-423. \[1927b\]. “On the Origin and Development of the Idea of ‘per cent,’” AMM 34, 1927, 530-531. \[1927c\]. “Aryabhaṭa, the Author of the ‘Gaṇita,’” BCMS 18, 1927, 5-18. \[1927d\]. “Early History of the Arithmetic of Zero and Infinity in India,” BCMS 18, 1927, 165-176. \[1927e\]. “The Present Mode of Expressing Numbers,” IHQ 3, 1927, 530-540. \[1927f\]. “The Hindu Method of Testing Arithmetical Operations,” JAS Bengal, NS 23, 1927, 261-267. \[1927/29\]. “The Hindu Contribution to Mathematics,” BMAUĀ 1, 1927 and 2, 1929. \[1928a\]. “The Science of Calculation by the Board,” AMM 35, 1928, 520-529. \[1928b\]. “The Hindu Solution of the General Pellian Equation,” BCMS 19, 1928, 87-94. \[1929a\]. “The Bakhshālī Mathematics,” BCMS 21, 1929, 1-60. \[1929b\]. “The Jaina School of Mathematics,” BCMS 21, 1929, 115-145. \[1929c\]. “The Scope and Development of the Hindu Gaṇita,” IHQ 5, 1929, 479-512. \[1929/31a\]. “Origin and History of the Hindu Names for Geometry,” QST B, 1, 1929-31, 113-119. \[1929/31b\]. “Geometry in the Jaina Cosmography,” QST B, 1, 1929-31, 245-254. \[1930a\]. ### [v1.c5.124.6](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124.6) “On Mahāvīra’s Solution of Rational Triangles and Quadrilaterals,” BCMS 20, 1930, 267-294. \[1930b\]. “On the Supposed Indebtedness of Brahmagupta to Chiu-chang Suan-shu,” BCMS 22, 1930, 39-51. \[1930c\]. “The Two Bhāskaras,” IHQ 6, 1930, 727-736. \[1930d\]. “On the Hindu Names for the Rectilinear Geometrical Figures,” JAS Bengal, NS 26, 1930, 283-290. \[1931a\]. “On the Origin of the Hindu Terms for ‘Root,’” AMM 38, 1931, 371-376. \[1931b\]. “The Origin of Hindu Indeterminate Analysis,” Archeion 13, 1931, 401-407. \[1931c\]. “Nārāyaṇa’s Method for Finding Approximate Value of a Surd,” BCMS 23, 1931, 187-194. \[1931d\]. “Early History of the Principle of Place Value,” Scientia 50, 1931, 1-12. \[1932a\]. The Science of the Śulba, Calcutta 1932. \[1932b\]. “Elder Aryabhaṭa’s Rule for the Solution of Indeterminate Equations of the First Degree,” BCMS 24, 1932, 193-218. \[1932c\]. “Testimony of Early Arab Writers on the Origin of Our Numerals,” BCMS 24, 1932, 193-218. \[1932d\]. “On the Relation of Mahāvīra to Śrīdhara,” Isis 17, 1932, 25-33. \[1932e\]. “Introduction of Arabic and Persian Mathematics into Sanskrit Literature,” PBMS 14, 1932, 7-21. \[1933\]. “The Algebra of Nārāyaṇa,” Isis 19, 1933, 472-485. \[1937\]. “Vedic Mathematics,” The Cultural Heritage of India, Calcutta 1937, vol. 3, pp. 378-401. \[1938\]. “Application of Intermediate Analysis to Astronomical Problems,” Archeion 21, 1938, 28-34. \[1941\]. “Chronology of the History of Science in India during the XVIth Century,” Archeion 23, 1941, 78-83. ### [v1.c5.124.7](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124.7) \[1946/47\]. “Some Instruments of Ancient India and their Working,” JGJRI 4, 1946-47, 249-270. Datta, B., and A. N. Singh \[1935/38\]. History of Hindu Mathematics, vol. 1, Lahore 1935; vol. 2, Lahore 1938. Reprinted in one vol., Bombay 1962. Datta, Dandi Ram \[1941\]. “Old Assamese Mathematics,” JARS 8, 1941, 19-20. ### [v1.c5.125.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.125.1) Davidian, Marie-Louise. \[1960\]. “Al-Bīrūnī on the Time of Day from Shadow Lengths,” JAOS 80, 1960, 330-335. Davis, John Francis \[1831\]. “Letters from Sir William Jones to the late Samuel Davis, Esq.,” TRAS 3, 1831, 1-31. Davis, Samuel. \[1790\]. “On the Astronomical Computations of the Hindus,” AR 2, 1790, 225-287. \[1792\]. “On the Indian cycle of Sixty Years,” AR 3, 1792, 209-227. Deb, Harit Krishna. \[1925\]. “The Five-yearly Yuga and the Saptarshi Cycle,” JAS Bengal, NS 21, 1925, 221-231. \[1931\]. “The Hindu Calendar and the Earlier Siddhantas,” JAS Bengal, NS 27, 1931, 271-283. Decourdemanche, Jean Adolphe. \[1911\]. “Note sur l’ancien système métrique de l’Inde,” JA 10, 18, 1911, 367-378. \[1913a\]. Traité des monnaies, mesures et poids anciens et modernes de l’Inde et de la Chine, Paris 1913. \[1913b\]. “L’estimation de la longueur du degré terrestre chez les grecs, les arabes, et dans l’Inde,” JA 11, 1, 1913, 427-444. de La Loubère, Simon. \[1691\]. Du royaume de Siam, 2 vols., Paris 1691. English translation, London 1693. Delambre, Jean-B.-J. \[1806\]. “On the Hindoo Formulae for computing Eclipses, Tables of Sines, and Various Astronomical Problems,” translated into English by T. S. Evans, PhM 28, 1807, 18-25 (from an article in Connaissance des temps . . . pour l’an 1808, Paris 1806). \[1817\]. Histoire de l’astronomie ancienne, 2 vols., Paris 1817, vol. 1, pp. 400-556. Delbos, Leon. \[1892\]. “Les Mathématiques aux Indes orientales,” BSM 2, 16, 1, 1892, 93-112. \[1893\]. ### [v1.c5.125.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.125.2) “L’Astronomie aux Indes orientales,” BSM 2, 17, 1, 1893, 145-172. de Menasce, P. \[1949\]. “Livres indiens en Perse sassanide,” JA 237, 1949, 1-3. Demme, Karl. \[1886\]. “Bemerkungen zu den Regeln des Ahmes und des Baudhāyana über die Quadratur des Kreises,” ZMP 31, 1886, Hist.-lit. Abt., 132-134. de Paravey, Chevalier. \[1836\]. “Note sur l’identité des cycles arabes, indiens et chinois, appliqués aux jours, aux années et aux ères diverses,” JA 1, 3, 1836, 394-400. de Saussure, L. \[1919\]. “La Symmétrie du zodiaque lunaire asiatique,” JA 11, 14, 1919, 141-148. \[1930\]. Les Origines de l’astronomie chinoise, Paris 1930. Destombes, Marcel. \[1962\]. “Un astrolabe carolingien et l’origine de nos chiffres arabes,” AIHS 15, 1962, 3-45. Devkar, V. L. \[1954\]. “Omens on Birds as Described in the Citrapraśna or Śakunāmālā MSS. in the Baroda Museum,” BMPG 10-11, 1954, 25-31. Dhama, B. L. \[1928/29\]. “On a Celestial Sphere (Persian) dated 1659-60 in Delhi Fort Museum,” ARASI 28, 1928-29, 144. Dhruva, K. H. \[1930\]. “Historical Contents of the Yugapurāṇa,” JBORS 16, 1930, 18-66. Diels, H., and A. Rehm. \[1904\]. “Parapegmenfragmente aus Milet,” SBAW 1904, 92-111. Dikshit, Moreshwar G. \[1957\]. “Narji, the One-pan Scales in Ancient India,” BDCRI 18, 1957, 5-7. Dikshit, Shankar Balkrishna. See R. Sewell and S. B. Dikshit \[1896\]. \[1887\]. “The Method of Calculating the Week-days of Hindu Tithis and the Corresponding English Dates,” IA 16, 1887, 113-122. Reprinted in J. F. Fleet \[1888\], pp. 145-159. ### [v1.c5.125.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.125.3) \[1888a\]. “The Twelve-year Cycle of Jupiter,” IA 17, 1888, 1-7 and 312-317. Reprinted in J. F. Fleet \[1888\], pp. 161-176. \[1888b\]. “A Table for the Abdapa, Tithi-suddhi, and Tithi-kendra,” IA 17, 1888, 268-272. \[1890a\]. “The Original Surya-Siddhanta,” IA 19, 1890, 45-54. \[1890b\]. “The Romaka Siddhantas,” IA 19, 1890, \[1890c\]. “The Panchasiddhantika,” \*IA\* 19, 1890, 439-440. \[1891\]. “Examination of Some Errors in Warren’s Kalasankalita,” \*IA\* 20, 1891, 35-45. \[1895\]. “The Age of the Satapatha Brahmana,” \*IA\* 24, 1895, 245-246. \[1896\]. \*Bhāratīya Jyotiḥśāstra\*, Poona 1896. Reprinted Poona 1931. Hindi translation by S. Jhārkhaṇḍī, Lucknow 1957. Dikshit, S. K. \[1939/40\]. “Chandragupta II, Sāhasāmka alias Vikramāditya and the Nine Jewels,” \*IC\* 6, 1939-40, 191-210 and 377-392. Dikshitar, V. R. Ramachandra \[1933\]. “The Lunar Cult in India,” \*IA\* 62, 1933, 175-176. Divatia, N. B. \[1930/31\]. “Certain Fractional Numerals in Gujarātī,” \*ABORI\* 12, 1930-31, 256-259. Dixit, K. R. \[1951\]. “The History of Indian Astronomy,” \*Scientia\* 86, 1951, 315-318. Djalalov, G. D. \[1962\]. “Indiiskaia astronomiia v knige Biruni ‘India,’” \*Istoriko-astronomicheskie issledovaniia\* 8, Moskva 1962, pp. 195-220. Drenckhahn, Friedrich. \[1936\]. “Zur Zirkulatur des Quadrats und Quadratur des Kreises in den Śulvasūtra,” \*JDMV\* 46, 1936, 1-13. Dumont, Paul-Emile. \[1954\]. “The Iṣṭis to the Nakṣatras,” \*PAPS\* 98, 1954, 204-223. Dutt, Girindranath. \[1904\]. ### [v1.c5.125.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.125.4) “Method of Preparing Calendars and Fixing Festivals Dates by the Hindus,” \*PRASB\*, 1904, 3. Dvivedin, Padmakara (= Dvivedi). \[1920\]. “Kamalākarabhaṭṭa,” \*PBMS\* 2, 1920, 67-80. \[1923\]. “A Seventeenth Century Astrolabe,” \*SBS\* 2, 1923, 129-136. \[1925\]. “Gaṇita-Kaumudī of Nārāyaṇa Paṇḍita,” \*SBS\* 4, 1925, 89-107. Dvivedin, Sudhākara. \[1892\]. \*Gaṇakataraṅgiṇī\*, \*The Pandit\*, NS 14, 1892, 1-16; 57-72; 113-128; 169-184; 225-240; 275-290; 331-346; 387-402; and 491-496. Reprinted Benares 1892; repr. Benares, 1933. \[1901/02\]. “Brāhmasphuṭasiddhānta and Dhyānagrahopadeśādhyāya,” \*The Pandit\*, NS 23, 1901, 309-324; 389-404; 453-468; 517-532; 581-596; and 645-660; 24, 1902, 1-16; 65-80; 137-142; 209-240; 273-312; 321-360; 385-416; 465-496; 529-576; 593-624; 657-688; and 721-755. Reprinted Benares 1902. \[1907\]. “Yājusayautisa with the Commentary of Somākara,” \*The Pandit\*, NS 29, 1907, 305-320; 337-352; 465-480; and 517-528; “Arcajyautisa,” ibid., 529-532 and 587-591; introduction to both, ibid. 581-585; “Laghuvivarana,” ibid. 593-605; appendix by Muralidhara Jhā, ibid. 607-625; and errata, ibid. 627-688. Reprinted Benares 1907. Enestrom G. \[1905\]. “Über einen Näherungswert für cos x,” \*BM\* 3, 6, 1905, 323-324. Engle, Susan. See E. S. Kennedy, S. Engle, and J. Wamstad \[1965\]. Esnoul, Anne-Marie. \[1959\]. “Les songes et leur interprétation dans l’Inde,” \*Les songes et leur interprétation\*, Paris 1959, pp. 207-247. Euler, Leonard. \[1738\]. “De Indorum anno solari astronomico,” in G. S. _First 165 of 1,158 passages. [Read on](https://indike.org/pramana/ins.science.pingree-1970.v1)_ --- Source: [https://indike.org/pramana/ins.science.pingree-1970.v1](https://indike.org/pramana/ins.science.pingree-1970.v1) · Pramāṇa