[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [A Bibliography of Sanskrit Works on Astronomy and Mathematics, Part I: Manuscripts, Texts, Translations and Studies](https://indike.org/pramana/ins.science.sen-1966) › c8 # A Bibliography of Sanskrit Works on Astronomy and Mathematics, Part I: Manuscripts, Texts, Translations and Studies c8: A Bibliography of Sanskrit Works on Astronomy and Mathematics, Part 1: Manuscripts, Texts, Translations and Studies A Bibliography of Sanskrit Works on Astronomy and Mathematics, Part I: Manuscripts, Texts, Translations and Studies c8 - **Language:** English ### A Bibliography of Sanskrit Works on Astronomy and Mathematics, Part 1: Manuscripts, Texts, Translations and Studies ### [c8.1](https://indike.org/pramana/ins.science.sen-1966.c8.1) PART—1 ### [c8.3](https://indike.org/pramana/ins.science.sen-1966.c8.3) ABBAYA KAVI (c. 1807 A.D.) \*Gaṇitāmṛta\*. गणितामृत 1807 A.D. An astronomical work containing the following 5 chs. viz., (i) Madhyagrahādhyāya, (ii) Sphuṭagrahādhyāya, (iii) Pātādhyāya, (iv) Candragrahaṇādhyāya, and (v) Sūryagrahaṇādhyāya. \*Manuscript reference:\* MADRAS/D. Supplemental xxviii, 15882, 18 ff. Telugu. Contains a Telugu commentary. MADRAS/T. Vol. i. part i, Sanskrit B, 393(a), ff.1a-10b. Telugu. Contains a Telugu commentary. ### [c8.4](https://indike.org/pramana/ins.science.sen-1966.c8.4) \*Abhinavatāmarasa\*. see PURUṢOTTAMA BHAṬṬA. ### [c8.5](https://indike.org/pramana/ins.science.sen-1966.c8.5) \*Abhīṣṭasāraṇī\*. अभीष्टसारणी An anonymous astronomical work containing mainly tables. \*Manuscript reference:\* AS/HS & PS. x. 6826, 40 ff. Nāgarī. ### [c8.6](https://indike.org/pramana/ins.science.sen-1966.c8.6) ACALĀCĀRYA \*Jyotirvida-śṛṅgāra\*. ज्योतिर्विदशृङ्गार \*Manuscript reference:\* GUJARAT. iv. p. 138, 140. ### [c8.7](https://indike.org/pramana/ins.science.sen-1966.c8.7) ACYUTA \*Karaṇottama\*. करणोत्तम A karaṇa work in 5 chs. \*Manuscript reference:\* MADRAS/T. vol. i. part i, Sanskrit C, 663(a), ff. 1a-16a Grantha; 663b, ff. 16b-19b. Grantha. \*Anonymous commentary:\* \*Vivaraṇa\*. ### [c8.8](https://indike.org/pramana/ins.science.sen-1966.c8.8) ACYUTA BHAṬṬA ### [c8.9](https://indike.org/pramana/ins.science.sen-1966.c8.9) ACYUTA BHAṬṬA, MIHIRĀCĀRYĀCYUTABHAṬṬA s.o. Sagara Bhaṭṭa (first half of 15th century) ### [c8.10](https://indike.org/pramana/ins.science.sen-1966.c8.10) \*Bhāsvatī-ratnadīpikā\* or \*Bhāsvatī-ratnamālā\* or \*Bhāsvatīkārtharatnamālikā\*. भास्वतीरत्नदीपिका, भास्वतीरत्नमाला, भास्वतीकार्थरत्नमालिका 1505 A.D. or 1534 A.D. ### [c8.11](https://indike.org/pramana/ins.science.sen-1966.c8.11) A commentary on the Bhāsvatī of Śatānanda. It contains an appendix on \*meghajñāna\*, "not explained in its proper place in the first \*khaṇḍa\* which is adduced from another book by Acyuta Śarman". From the statement given in the commentary, its date of composition appears to lie between Śaka 1427 and 1456 (1505 and 1534 A.D.) ### [c8.12](https://indike.org/pramana/ins.science.sen-1966.c8.12) \*Manuscript reference:\* 10/JE. v, 2918, 43 ff. Bengali. ### [c8.13](https://indike.org/pramana/ins.science.sen-1966.c8.13) \*Adhimāsodāharaṇa\*. see RATNAKAṆṬHA. ### [c8.14](https://indike.org/pramana/ins.science.sen-1966.c8.14) \*Agaṇitacāra\*. अगणितचार ### [c8.15](https://indike.org/pramana/ins.science.sen-1966.c8.15) An anonymous work containing a set of astronomical tables for determining without actual calculations the movements of the planets with reference to Mars (\*Kujaparivṛtti\*), Mercury (\*Budhaparivṛtti\*), Jupiter (\*Guruparivṛtti\*) and Venus (\*Śukraparivṛtti\*). ### [c8.16](https://indike.org/pramana/ins.science.sen-1966.c8.16) \*Manuscript reference:\* MADRAS/D. xxiv. 13382, 16ff. ### [c8.17](https://indike.org/pramana/ins.science.sen-1966.c8.17) \*Ahargaṇakrama\*. अहर्गणक्रम ### [c8.18](https://indike.org/pramana/ins.science.sen-1966.c8.18) An anonymous astronomical work for counting the tithis and ahargaṇas from a particular epoch of the Kaliyuga to a desired date. ### [c8.19](https://indike.org/pramana/ins.science.sen-1966.c8.19) \*Manuscript reference:\* LEIPZIG/TA. 1080, 3 ff. 1750 A.D. ### [c8.20](https://indike.org/pramana/ins.science.sen-1966.c8.20) \*Ahargaṇanādyānayana\*. अहर्गणनाद्यानयन ### [c8.21](https://indike.org/pramana/ins.science.sen-1966.c8.21) An anonymous astronomical work used for the preparation of the calendar. ### [c8.22](https://indike.org/pramana/ins.science.sen-1966.c8.22) \*Manuscript reference:\* MADRAS/D. xxiv. 13384, 32 ff. Telugu. ### [c8.23](https://indike.org/pramana/ins.science.sen-1966.c8.23) \*Ahibalacakra\*. see NARAHARI. ### [c8.24](https://indike.org/pramana/ins.science.sen-1966.c8.24) AHOBILANĀTHA (earlier than 1567 A.D.) ### [c8.25](https://indike.org/pramana/ins.science.sen-1966.c8.25) 1. \*Ahobilanātha-siddhānta\*. अहोबिलनाथसिद्धान्त ### [c8.26](https://indike.org/pramana/ins.science.sen-1966.c8.26) \*Manuscript reference:\* OPPERT. ii. 1946, 20 ff. Telugu. ### [c8.27](https://indike.org/pramana/ins.science.sen-1966.c8.27) ĀMARĀJA ### [c8.28](https://indike.org/pramana/ins.science.sen-1966.c8.28) 2. \*Ahobilanāthīya\*. अहोबिलनाथीय \*Manuscript reference:\* OPPERT. ii. 1947. 82 ff. Telugu. ### [c8.29](https://indike.org/pramana/ins.science.sen-1966.c8.29) 3. \*Grahatantra\*. ग्रहतन्त्र An astronomical work dealing with the following 8 chs, viz, (i) Madhyagrahādhikāra, (ii) Sphuṭādhikāra, (iii) Pātādhikāra, (iv) Upakaraṇādhikāra, (v) Somagrahaṇādhikāra, (vi) Sūryagrahaṇādhikāra, (vii) Valilekhanādhikāra and (viii) Śṛṅgonatyadhikāra. From the date of its commentary \*Grahatantravivaraṇa\* by Veṅkaṭayajvā, written between 1567 and 1627 A.D., \*Grahatantra\* must have been written before 1567 A.D. \*Manuscript reference:\* MADRAS/T. vol. i. part I. sanskrit B, 457(b), ff. 84a-97a. Telugu. \*Commentator:\* Veṅkaṭayajvā. ### [c8.30](https://indike.org/pramana/ins.science.sen-1966.c8.30) \*Ahobilanātha-siddhānta\*. see AHOBILANĀTHA. \*Ahobilanāthīya\*. see AHOBILANĀTHA. ### [c8.31](https://indike.org/pramana/ins.science.sen-1966.c8.31) AHOṢAKA DEVA \*Līlāvatī-vyākhyā\*. लीलावतीव्याख्या A commentary on the \*Līlāvatī\* of Bhāskarācārya. \*Manuscript reference:\* RAS/BB/VM. p. xxix. ### [c8.32](https://indike.org/pramana/ins.science.sen-1966.c8.32) AJITADEVA SŪRI. pupil of Maheśvara Sūri (?) \*Lokasāra-yantra\*. लोकसारयन्त्र A work on astronomical instruments in Prakrit and Sanskrit. \*Manuscript reference:\* RAS/BB/HV. 260, 1 ff. Nāgarī. Incomplete. ### [c8.33](https://indike.org/pramana/ins.science.sen-1966.c8.33) \*Akṣaracintāmaṇi\*. see ŚIVA. ### [c8.34](https://indike.org/pramana/ins.science.sen-1966.c8.34) ALLANĀRYA SŪRI. see KALPAKURTI ALLANĀRYA SŪRI ### [c8.35](https://indike.org/pramana/ins.science.sen-1966.c8.35) ĀMARĀJA. \*Vāsanābhāṣya\*. वासनाभाष्य A commentary on the of \*Khaṇḍakhādya\* Brahmagupta. \*Printed text, translations etc.\* \*Khaṇḍakhādyaka\* with \*Vāsanābhāṣya\* by Āmarāja Ed. with introduction by Babua Misra, Calcutta Univ. Calcutta, 1925. ### [c8.36](https://indike.org/pramana/ins.science.sen-1966.c8.36) AMAREḌYA ### [c8.37](https://indike.org/pramana/ins.science.sen-1966.c8.37) AMAREḌYA, s.o. Gosvāmī. \*Karṇāṭa-ṭīkā\*. कर्णाटटीका A commentary on the \*Sūryasiddhānta\* in Kanarese. \*Manuscript reference:\* MADRAS/D. xxiv, 13512, 268 ff. Telugu & Nāgarī. ### [c8.38](https://indike.org/pramana/ins.science.sen-1966.c8.38) AMAREŚA A Kanarese commentator on the \*Karaṇaprakāśa\* of Brahmadeva Gaṇaka. See Brahmadeva Gaṇaka. \*Manuscript reference:\* 1Q/AK. ii. part i, 6304, 58 ff. Nāgarī (?) 18th. century. ### [c8.39](https://indike.org/pramana/ins.science.sen-1966.c8.39) AMBĀRAMA \*Siddhāntādarśa\*. सिद्धान्तादर्श A commentary on the \*Siddhānta-cūḍāmaṇi\* of Sadānanda. \*Manuscript reference:\* 10/AB. ii. part ii, 8053, 22 ff. Nāgarī. 1790 A.D. ### [c8.40](https://indike.org/pramana/ins.science.sen-1966.c8.40) \*Amṛtakūpikā\*. see SŪRYADĀSA, s.o. Jñānarāja. ### [c8.41](https://indike.org/pramana/ins.science.sen-1966.c8.41) \*Amṛtasāgarī\*. see GAṄGĀDHARA, s.o. Govardhana. ### [c8.42](https://indike.org/pramana/ins.science.sen-1966.c8.42) ĀNANDA MUNI \*Gaṇitasāroddhāra\*. गणितसारोद्धार \*Manuscript reference:\* GUJARAT. iv. p. 122, 54, 66 ff. 1822 A.D. ### [c8.43](https://indike.org/pramana/ins.science.sen-1966.c8.43) ANANTA BHAṬṬA \*Tithi-dīpikā\*. तिथिवेदीपिका \*Manuscript reference:\* CENSUS, 3099, 6 ff. 1560 A.D. ### [c8.44](https://indike.org/pramana/ins.science.sen-1966.c8.44) \*Aṅkādarśa\*. see KṚPĀRĀMA MUKHOPĀDHYĀYA ### [c8.45](https://indike.org/pramana/ins.science.sen-1966.c8.45) \*Aṅkagrantha\*. see HARṢA DĪKṢITA ### [c8.46](https://indike.org/pramana/ins.science.sen-1966.c8.46) \*Anupamahodadhi\*. see VĪRASIṂHA GAṆAKA, s.o. Kāsīrāja. ### [c8.47](https://indike.org/pramana/ins.science.sen-1966.c8.47) ĀPADEVA \*Grahapīṭhamālā\*. ग्रहपीठमाला \*Manuscript reference:\* ### [c8.48](https://indike.org/pramana/ins.science.sen-1966.c8.48) ĀPASTAMBA ### [c8.49](https://indike.org/pramana/ins.science.sen-1966.c8.49) ĀPASTAMBA. (c. 800-500 B.C.) ### [c8.50](https://indike.org/pramana/ins.science.sen-1966.c8.50) 1. \*Āpastamba-śulbasūtra\*. आपस्तम्बशुल्बसूत्र (circa 800-500 B.C.) ### [c8.51](https://indike.org/pramana/ins.science.sen-1966.c8.51) The \*Śulba-sūtra\* of Āpastamba comprises 223 \*sūtras\* or rules for the construction of sacrificial altars and envisages geometrical rules and mathematical ideas of considerable importance. It is among the earliest of the \*Śulbas\*, being posterior to Baudhāyana, a much larger and also older work. It is broadly divided into six sections or \*paṭalas\*, each sub-divided into a number of chapters or \*adhyāyas\*, e.g., the 1st section into 3 chapters, the 2nd into 4, the 3rd into 3, the 4th into 4, the 5th into 3 and the 6th into 4 chapters. The rules mainly describe various types of \*vedis\*, their spatial magnitudes, relative positions and such other construction details and provide geometrical propositions and rules for achieving these details. ### [c8.52](https://indike.org/pramana/ins.science.sen-1966.c8.52) \*Manuscript reference:\* BANARAS/TU & SJ. p. 380, 4179, 11 ff. Nāgarī. PU. i, p. 39, 92, 14 ff. TANJORE/AB. p. 15, 97, 203 ff. Nāgarī. A part of the work contains the \*Śulbasūtra\*. VVRI/VB. p 74, 13, 19 ff. Nāgarī. ### [c8.53](https://indike.org/pramana/ins.science.sen-1966.c8.53) \*Commentators:\* Gopāla Yajvā, Kapardisvāmī, Karavindasvāmī, Sundararāja, Sundarasūri. ### [c8.54](https://indike.org/pramana/ins.science.sen-1966.c8.54) \*Printed texts, translations etc.\* \*Āpastamba Śulba\*. Edited and published by A. Bürk, with German translation, notes and comments, some extracts from the commentaries of Kapardisvāmī, Karavindasvāmī and Sundararāja and diagrams together with an introduction. \*ZDMG\*, 55, 543-591, 1901 and 56, 327-391, 1902. \*Das Śrautasūtra des Āpastamba aus dem Sanskrit Ubersetzt\*, von W. Caland. 1-7 Buch, Göttingen, 1921. \*Āpastamba-Śulba Sūtra\* with commentaries of Kapardisvāmī, Karavinda and Sundararāja. Ed. by D. Śrinivāsabhār and Vidwan S. Narasimhachar, Mysore, Mysore Sanskrit Series No. 73, 1931. ### [c8.55](https://indike.org/pramana/ins.science.sen-1966.c8.55) \*Study:\* APTE, R. N. ‘Some points connected with the constructive geometry of the Vedic altars’, \*ABORI\*, 8, part 1 & 2, 1-16, 1926. BÜRK, A. ‘Das Āpastamba Śulba Sūtra’, \*ZDMG\*, 55, 543-91, 1901; 56, 327-91, 1902. CAJORI, F. \*History of Mathematics\*, 2nd. revised and enlarged edition, 84-86, New York, 1958. ### [c8.56](https://indike.org/pramana/ins.science.sen-1966.c8.56) CANTOR, M. \*Vorlesungen über die Geschichte der Mathematik\*, 1, Part 3, 636-645, 1907. CHAKRABARTY, GURUGOVINDA. ‘On the earliest Hindu Methods of Quadrature’, \*JDL/CU\*, 24, 23-28, 1934. CHAKRABARTY, GURUGOVINDA. ‘On the Hindu treatment of Fractions’, \*JDL/CU\*, 24, 59-76, 1934. CHAKRABARTY, GURUGOVINDA. ‘Surd in Hindu Mathematics’. \*JDL/CU\*, 24, 29-58, 1934. DATTA, B. \*The Science of Śulba. A study in early Hindu Geometry\*. Calcutta University, 1932. DUTTA, B. ‘On the Hindu names for the rectilinear geometrical figure,’ \*JASB\*, 26, 283-90, 1930. GANGULY, SARADAKANTA. ‘On the Indian discovery of the irrational at the time of Śulba-Sūtras’, \*SM\*, 1, 135-41, 1932. LEVI, B. ‘Osservazioni e Congetture sopra la geometria degli indiani’, \*BM\*, 19, 97-105, 1908-9. LÖSCHHÖRN, K. ‘Über das Alter des Pythagoräischen Lehrsatzes’, \*ZMU\*, 33, 183, 1902. MAZUMDAR, N. K. ‘On the different Śulba Sūtras’, \*PTOC\*/11, 561-64, Calcutta, 1922. MILHAUD, GASTON. ‘La géometrie d’Āpastamba’, \*RGS\*, 21, 512-20, 1910. MÜLLER, C. ‘Die Mathematik der Śulbasūtra’, \*AGM\*, 7, 173-204, Hamburg University, 1929. SMITH, D. E. \*History of Mathematics\*, 1, 97-98, Dover edition, 1958. THIBAUT, G. ‘On the Śulba Sūtras’, \*JASB\*, 44, No. 3, 227-275, 1875. VOGT, H. ‘Der Pythagorische Lehrsatz in der altesten geometrie der Inder’, \*SG\*, Section 84, 3, 1906. VOGT, H. ‘Haben die alten Inder den Pythagorischen Lehrsatz und das Irrationale gekannt’, \*BM\*, 3, 6-23, 1907. WINTERNITZ, M. \*Geschichte der indischen Litteratur\*, 3, 176, Leipzig, 1922. ZEUTHEN, H. G. ‘Theorem de Pythagore, origine de la géometrie scientifique’, \*CRCIP\*/11, Génève, 1904. ZEUTHEN, H. G. ‘Sur l’arithmetique géometrique des Grecs et des Indiens’, \*BM\*, Series 3, 5, 97-112, 1904. ### [c8.57](https://indike.org/pramana/ins.science.sen-1966.c8.57) \*Āpastamba Savyākhyā\*. see GOPAL YAJVA. \*Āpastamba Savyākhyā\*. see KARAVINDASVĀMĪ. \*Āpastamba Savyākhyā\*. see SUNDARARĀJA. \*Āpastamba Śulba Sūtra\*. see ĀPASTAMBA. \*Āpastamba Śulba Sūtrabhāṣya\*. see KAPARDISVĀMĪ. ### [c8.58](https://indike.org/pramana/ins.science.sen-1966.c8.58) APPAYA s.o. Marla Perubhaṭṭa (c. 1491 A.D.) \*Grahacandrikā-gaṇita\*. ग्रहचन्द्रिकागणित (1491 A.D.) A work on astronomy in 7 chs., viz, (i) Madhyagrahādhikāra, (ii) Sphuṭagrahādhikāra, (iii) Vakra vakra-tyāgodayāstamayādhikāra, (iv) Pātādhyāya, (v) Lagnādhyāya, (vi) Candragrahaṇādhyāya, and (vii) Sūryagrahaṇādhyāya. \*Manuscript reference:\* MADRAS/T. Vol. iii. part 1. Sanskrit C. p. 4156, 337(d), ff. 67b-76b. 1916-17 A.D. ### [c8.59](https://indike.org/pramana/ins.science.sen-1966.c8.59) APŪCHA JHĀ, elder brother of Paṇḍit Khuddi Jhā of Kailakh. \*Makaranda-karaṇa\*. मकरन्दकरण \*Manuscript reference:\* BORS/AB, iii, 245, 7 ff. Maithili. Incomplete. ### [c8.60](https://indike.org/pramana/ins.science.sen-1966.c8.60) \*Ārca Jyautiṣa\* & \*Yājuṣa Jyautiṣa\*. see SUDHĀKARA DVIVEDIN. ### [c8.61](https://indike.org/pramana/ins.science.sen-1966.c8.61) ĀRYABHAṬA 1 (b. 476 A.D.) 1. \*Āryabhaṭīya\*, \*Āryasiddhānta\* (laghu). आर्यभटीय, आर्यसिद्धान्त (लघु) 449 A.D. A famous Indian work on mathematics and astronomy, divided into following four broad sections, viz, (i) Daśagītikā or the ten Gīti stanzas, (ii) Gaṇitapāda or mathematics, (iii) Kālakriyā or the reckoning of time, (iv) Gola or the sphere. \*Manuscript reference:\* ANUP iv. p. 341, 41, 27 ff; 42, 2 ff, Daśagītikā only; 43, 9 ff. AS/HS & PS. x. 6827, 8 ff. BERLIN, ii. part i. 1730, 7 ff. 1689 A.D. BODLEIAN. 769, ff. 49-55. BU/GD. i. 330, 6 ff. Nāgarī; 331, 8 ff. Nāgarī; 332, 10 ff. Nāgarī; 333, 4 ff. Nāgarī; 334, 17 ff. Nāgarī; 335, 35 ff. Nāgarī. CENSUS. 4668, 20 ff. Grantha. 1909-12 A.D.; 4669, 9 ff. Nāgarī; 4670, 9 ff. Nāgarī. Daśagītisūtra only. CSC/HS & SG. ix. 2. 7 ff. Nāgarī, incomplete. IO/AK. ii. part i, 6263, Malayalam. Fragment. IO/JE. v. 2767, ff. 7+80 Grantha. LU. 25. M & C/LR. 261, Nāgarī. MADRAS/D. xxiv. 13385, 12 ff. Grantha; 13386, 12 ff. Nāgarī, lacks Kālakriyā; 13387, 12 ff. Telugu; 13388, 11 ff. Telugu; 13389, 192 ff. Grantha; 13390, 242 ff. Nāgarī; 13391, 132 ff. Telugu, incomplete; 13392, 123 ff. Nāgarī; 13393, 254 ff. Grantha; 13394, 132 ff. Grantha; 13395, 106 ff. Nāgarī. ### [c8.62](https://indike.org/pramana/ins.science.sen-1966.c8.62) MADRĀS/T. vol. iii. part i. Sanskrit C. 3070 (c), ff 145b-150b. MYSORE/AM. p. 49, A 25, 72 ff. Telugu, incomplete. NOTICES/RM, iv. 1566, 8 ff. TRI/KS. iii. 870, 217 ff. Malayalam, incomplete. ### [c8.63](https://indike.org/pramana/ins.science.sen-1966.c8.63) \*Commentators:\* Bhāskara I, Bhūtaviṣṇu, Koṭikalapūḍi Kodaṇḍarāma, Nīlakaṇṭha Somasutvan, Parameśvara, Someśvara, Sūryadeva, Yallaya. ### [c8.64](https://indike.org/pramana/ins.science.sen-1966.c8.64) \*Anonymous Commentaries:\* \*Āryabhaṭīyavyākhyā\*, \*Bhāvaprakāśa\*, \*Āryabhaṭīya vyākhyābhāṭaprakāśa\*. ### [c8.65](https://indike.org/pramana/ins.science.sen-1966.c8.65) \*Printed text, translations etc:\* \*Āryabhaṭīya\*. A manual of astronomy also called \*Āryasiddhānta\* with the commentary \*Bhaṭadīpikā\* of Paramādīśvara. Edited by H. Kern, Leiden, 1874. \*Āryabhaṭīye gaṇitapādaḥ\*, Leçons de calcul d’Āryabhaṭa, by Rodet, Léon, \*JS\*, 13, 393-434, 1879. \*Āryabhaṭīya\*, translated into Hindi, published by Udayanārāyaṇa Singh. Etawah, 1906. \*The Āryabhaṭīyam\*, translated into English by P. C. Sengupta, \*JDL/CU\*, 16, 1-56, 1927. \*The Āryabhaṭīya of Āryabhaṭa\*, translated with notes by Walter Eugene Clark. The University of Chicago Press, Chicago, Illinois, 1930. \*Āryabhaṭīya\* with \*bhāṣya\* of Nīlakaṇṭha Somasutvan. Edited by K. Sambasiva Śāstri, Trivandrum Sanskrit Series no. 101. Trivandrum, 1930-31. \*Āryabhaṭīya\*. A manual of astronomy with \*bhāṣya\* of Nīlakaṇṭha Somasutvan. Edited by K. Sambasiva Śāstri. Part i—Gaṇitapāda, Part ii—Kālakriyāpāda. Trivandrum Sanskrit Series 101 & 110. Śrī Setulakṣmīprasādamālā. nos. 13 & 22. Trivandrum, 1931-32. \*Āryabhaṭīya\*. A treatise on astronomy. part iii—Golapāda with commentary \*Āryabhaṭīyabhāṣya\* by Nīlakaṇṭha Somasutvan. Edited by Sūranād Kunjan Pillai. Trivandrum Sanskrit Series 185. Trivandrum, Travancore University Oriental Manuscripts Library, 1957. ### [c8.66](https://indike.org/pramana/ins.science.sen-1966.c8.66) \*Study:\* BENTLEY, J. \*Historical view of the Hindu Astronomy\*. 113-17, Calcutta, 1823. BHANDARKAR, A. S. ‘Miscellaneous Notes 11: The Decimal Notation’, \*JBBRAS\*, 29, 94-95, 1954. CAJORI, F. \*History of Mathematics\*, 2nd. revised enlarged edition, 85-87, 89, 92, 94-96. New York, 1958. CHAKRABARTY, GURUGOVINDA. ‘On the Hindu treatment of fractions,’ \*JDL/CU\*. 24, 59-76, 1934. ### [c8.67](https://indike.org/pramana/ins.science.sen-1966.c8.67) CHATTERJEE, BINA. ‘Geometrical Interpretation of the motion of the Sun, Moon and the five planets as found in the mathematical syntaxis of Ptolemy and the Hindu astronomical works’, \*JASB\*, 15, 47-87, 1949. COLEBROOKE, H. T. ‘Āryabhaṭṭa’s Doctrine: age of Āryabhaṭṭa’, \*Miscellaneous Essays\*, ii, 437-77, 1837. DAS, SUKUMAR RANJAN. ‘Motion of the earth as conceived by the ancient Indian astronomers’, \*BCMS\*, 17, 173-82, 1926. DAS, SUKUMAR RANJAN. ‘Lunar and Solar eclipses in Hindu astronomy’, \*JASB\*, ns. 24, no. 4, 437-454, 1928. DATTA, B. ‘Two Āryabhaṭas of Ālbiruni’, \*BCMS\*, 17, 58-74 1926. DATTA, B. ‘Āryabhaṭa, the author of the Gaṇita’, \*BCMS\*, 18, 5-18, 1927. DATTA, B. ‘Elder Āryabhaṭa’s rule for the solution of indeterminate equations of the first degree,’ \*BCMS\*, 24, 19-36, 1932. DATTA, B. ‘Early History of the Principle of place value,’ \*SCI\*, 50, 1-12, 1931. DVIVEDIN, SUDHĀKARA. \*Gaṇaka-taraṅgiṇī\*, Benares, 1892. FLEET, J. F. ‘Āryabhaṭa’s system of expressing numbers,’ \*JRAS\*, 109-126, 1911. FLEET, J. F. ‘Some Hindu values of the dimensions of the earth’, \*JRAS\*, 463-470, 1912. FLEET, J. F. ‘Tables for finding the mean place of Saturn,’ \*JRAS\*, 741, 1915. GANGULY, SARADAKANTA. ‘The Elder Āryabhaṭa and the modern arithmetical notation’, \*AMM\*, 34, 409-15, 1927. GANGULY, SARADAKANTA. ‘The source of Indian solution of the so-called Pellian equation,’ \*BCMS\*, 19, 151-176, 1928. GANGULY, SARADAKANTA. ‘Was Āryabhaṭa indebted to the Greeks for his alphabetical system of expressing numbers?’ \*BCMS\*, 17, 195-202, 1926. GANGULY, S. K. ‘Notes on Āryabhaṭa’, \*JBORS\*, 78-91, 1926. GANGULY, S. K. ‘The Elder Āryabhaṭa’s value of π’, \*AMM\*, 27, 16-29, 1930. GODE, P. K. ‘Notes on Indian chronology—Appaya Dīkṣita’s criticism of Āryabhaṭa’s theory of the diurnal motion of the earth’, \*ABORI\*, 19, 93-95, 1939. HALL, FITZ-EDWARD. ‘On the Āryasiddhānta with additional note on Āryabhaṭa and his writings’, \*JAOS\*, 6, 556-64, 1860. KAYE, G. R. \*Hindu Astronomy\*, \*ASI/M\*, 18, 45-47, 71, 120-21, Calcutta, 1924. KAYE, G. R. ‘Two Āryabhaṭas,’ \*BM\*, 10, 289-92, 1910. KAYE, G. R. ‘Ancient Hindu Spherical Astronomy’, \*JASB\*, ns. 15, 153-189, 1919. ### [c8.68](https://indike.org/pramana/ins.science.sen-1966.c8.68) KAYE, G. R. ‘Notes on Indian Mathematics.’ \*JASB\*, ns. 4, 111-41, 1908. LAHIRI, N. C. ‘The Length of the year in Hindu astronomy,’ \*IC\*, 8, no. 1, 114-116, 1941. MAZUMDAR, N. K. ‘Aryabhatta’s rule in relation to Indeterminate equations of the first degree’, \*BCMS\*, 3, 11-19, 1911-12. NEEDHAM, J. \*Science and Civilisation in China\*. 3, 34(a), 88, 102, 168, 122, 147, 149, Cambridge, 1954. RODET, L. ‘Sur la veritable signification de la notation numérique inventée par Āryabhaṭa’, \*JA\*, Series 7, 440, 1880. RODET, L. ‘L’Algèbre d’al-Khārizmi et les méthodes Indiennes et Grecques.’ \*JA\*, 7, 11, 5-98, 1878. SARASVATI, T. A. ‘Śreḍhikṣetras or diagrammatical representations of Mathematical Series’, \*JORM\*, 28, nos. 1-4, 74-85, 1961. SARTON, GEORGE, \*Introduction to the History of Science\*, 1, 387, 400, 401, 409, 428. 475, Baltimore, Reprint, 1950. SEN, S. N. ‘Āryabhaṭa’s mathematics’, \*BNISI\*, no. 21, 297-319, 1963. SENGUPTA, P. C. ‘Hindu Luni-solar Astronomy’, \*BCMS\* 24, 1-18, 1932. SENGUPTA, P. C. ‘Āryabhaṭa, the father of Indian Epicyclic Astronomy’, \*JDL/CU\*, 18, 1-56, 1929. SENGUPTA, P. C. ‘Āryabhaṭa’s lost work’, \*BCMS\*, 22, 115-20, 1930. SENGUPTA, P. C. ‘Āryabhaṭa’s method of determining the mean motions of the planets’, \*BCMS\*, 12, 183-88, 1920-21. SINGH, AVADESH NARAYAN. ‘On the Indian method of root extraction’, \*BCMS\*, 18, 123-40, 1927. SMITH, D. E. ‘History of Mathematics’, 1, 152-56, 2, 379, 387, 444, 608, 615, 626; Dover edition, 1958. WHISH, C. M. ‘De la Notation Alphabetique des Indiens’, \*JA\*, Series 2, 16, 116-30, 1835. WINTERNITZ, M. \*Geschichte der indischen Litteratur\*, 3, 562-63, 573, Leipzig, 1922. ### [c8.69](https://indike.org/pramana/ins.science.sen-1966.c8.69) 2. \*Sūryasiddhāntaprakāśa\*. सूर्यसिद्धान्तप्रकाश A commentary on the \*Sūryasiddhānta\* by Āryabhaṭa 1. \*Manuscript reference\*: MAC/HW, p. 162, 5, Grantha. ### [c8.70](https://indike.org/pramana/ins.science.sen-1966.c8.70) ĀRYABHAṬA 11. (950 A.D.) \*Āryasiddhānta\*, \*Āryabhaṭasiddhānta\* or \*Mahāsiddhānta\*. आर्यसिद्धान्त, आर्यभटसिद्धान्त, महासिद्धान्त ### [c8.71](https://indike.org/pramana/ins.science.sen-1966.c8.71) ĀRYABHAṬATANTRAḠAṆITA ### [c8.72](https://indike.org/pramana/ins.science.sen-1966.c8.72) A Siddhānta work in 18 chs. viz., (i) Madhyagati, (ii) Parāśaramatāntarādhikāra, (iii) Spaṣṭagatyadhyāya, (iv) Tripraśnādhyāya, (v) Candragrahaṇādhyāya, (vi) Sūryagrahaṇa, (vii) Śṛṅgonnatyadhyāya, (viii) Chādyakadhyāya, (ix) Udayāstādhyāya, (x) Grahachāyādhyāya, (xi) Graha yutyadhyāya, (xii) Bhagrahayutyadhyāya, (xiii) Pātādhyāya, (xiv) Golādhāye praśnādhikāre madhyamapraśna, (xv) Pātyuttarādhyāya, (xvi) Golādhāye bhūvanakośapraśna, (xvii) Madhyagativāsanā, and (xviii) Golādhyāye kuṭṭakādhyāya. ### [c8.73](https://indike.org/pramana/ins.science.sen-1966.c8.73) Manuscript reference: AS/HS & PS. x 6828, 51 ff. Nāgarī, 19th. century; 6829, 37 ff. Nāgarī; 6830, 38 ff. Nāgarī. BERLIN. ii. part i, 1731, 45 ff. BN/AC. i. 983(11), Nāgarī, 1860 A.D. BODLEIAN. 770, 40 ff. Nāgarī. 1815 A.D. BU/GD. i. 325, 14 ff. Nāgarī, 1860 A.D; 326, 30 ff. Nāgarī, 1863 A.D; 327, 28 ff. Nāgarī. 1654 A.D; 328, 55 ff. Nāgarī. 1868 A.D; 329, 50 ff. Nāgarī. NOTICES/RM. iv. 1568, 37 ff. Nāgarī. TCC/TA. p. 39. 41 ff. Nāgarī. 1814 A.D. ### [c8.74](https://indike.org/pramana/ins.science.sen-1966.c8.74) Commentators: Someśvara, Sudhākara Dvivedin. ### [c8.75](https://indike.org/pramana/ins.science.sen-1966.c8.75) Printed text, translations etc. Mahāsiddhānta, edited with his own commentary by Sudhākara Dvivedin, Benares Sanskrit Series no. 36, Benares, 1910. ### [c8.76](https://indike.org/pramana/ins.science.sen-1966.c8.76) Study: DAS, SUKUMAR RANJAN. ‘Precession and Libration of the Equinoxes in Hindu astronomy’. JASB, ns. 23, no. 3, 403-13, 1927. DAS, SUKUMAR RANJAN. ‘Co-ordinates used in Hindu astronomy’. AMM, 35, 535-40, 1928. FLEET, J. F. ‘The Kaṭapayadi notation of the second Āryasiddhānta’. JRAS, 459-62, 1912. HALL, FITZ EDWARD. ‘On the Āryasiddhānta with additional note on Āryabhaṭa and his writings’. JAOS, 6, 556-64, 1860. KAYE, G. R. ‘Two Āryabhaṭas’, BM, 10, 289-92, 1910. SINGH, A. N. ‘Hindu Trigonometry’, PBMS, ns. 1, 77-92, 1939. ### [c8.77](https://indike.org/pramana/ins.science.sen-1966.c8.77) Āryabhaṭasiddhānta. see ĀRYABHAṬA 11. ### [c8.78](https://indike.org/pramana/ins.science.sen-1966.c8.78) Āryabhaṭa-sūtrārdha-prakāśikā. see SŪRYADEVA YAJVAN. ### [c8.79](https://indike.org/pramana/ins.science.sen-1966.c8.79) ĀryabhaṭatantraḠaṇita. see KODAṆḌARĀMA s.o. Veṅkaṭa Kṛṣṇa. ### [c8.80](https://indike.org/pramana/ins.science.sen-1966.c8.80) \*Āryabhaṭīya\*. see ĀRYABHAṬA 1. ### [c8.81](https://indike.org/pramana/ins.science.sen-1966.c8.81) \*Āryabhaṭīyabhāṣya\*. see NĪLAKAṆṬHA SOMASUTVAN ### [c8.82](https://indike.org/pramana/ins.science.sen-1966.c8.82) \*Āryabhaṭīya-sūtrabhāṣya\*. see BHĀSKARA 1. ### [c8.83](https://indike.org/pramana/ins.science.sen-1966.c8.83) \*Āryabhaṭīya-tantrabhāṣya\*. see BHĀSKARA 1. ### [c8.84](https://indike.org/pramana/ins.science.sen-1966.c8.84) \*Āryapakṣagrahadīpa\*. आर्यपक्षग्रहदीप ### [c8.85](https://indike.org/pramana/ins.science.sen-1966.c8.85) \*Manuscript reference:\* GUJARAT. iv. p 116, 13, 12 ff. ### [c8.86](https://indike.org/pramana/ins.science.sen-1966.c8.86) \*Āryasiddhānta\*. see ĀRYABHAṬA 11. ### [c8.87](https://indike.org/pramana/ins.science.sen-1966.c8.87) \*Āryasiddhānta (laghu)\*. see ĀRYABHAṬA 1. ### [c8.88](https://indike.org/pramana/ins.science.sen-1966.c8.88) \*Āryasiddhāntatulyakaraṇa\*. see VĪRASIṂHA GAṆAKA. ### [c8.89](https://indike.org/pramana/ins.science.sen-1966.c8.89) \*Āryabhaṭīya-vyākhyā\*. आर्यभटीयव्याख्या ### [c8.90](https://indike.org/pramana/ins.science.sen-1966.c8.90) A commentary on the \*Āryabhaṭīya\* of Āryabhaṭa 1. ### [c8.91](https://indike.org/pramana/ins.science.sen-1966.c8.91) \*Manuscript reference:\* MAC/HW. p 164, 13, Grantha. MADRAS/T. vi. part i. Sanskrit, 5261, 142 ff Nāgarī. 1926-27 A.D.; x. Sanskrit A, 6485a, ff. 46a-62a. Nāgarī. TGC/TA. p 37, 16 ff. Nāgarī, 1802 A.D. ### [c8.92](https://indike.org/pramana/ins.science.sen-1966.c8.92) \*Āryabhaṭīya-vyākhyāna\*. see YALLAYA s.o. Śrīdharācārya. ### [c8.93](https://indike.org/pramana/ins.science.sen-1966.c8.93) ĀŚĀDHARA GAṆAKA ### [c8.94](https://indike.org/pramana/ins.science.sen-1966.c8.94) 1. \*Grahagaṇita\*. ग्रहगणित ### [c8.95](https://indike.org/pramana/ins.science.sen-1966.c8.95) \*Manuscript reference:\* GUJARAT. iv. p 124, 63, 4 ff. ### [c8.96](https://indike.org/pramana/ins.science.sen-1966.c8.96) 2. \*Grahajñāna\*. ग्रहज्ञान 1132 A.D. (?). ### [c8.97](https://indike.org/pramana/ins.science.sen-1966.c8.97) On the motion of the planets. ### [c8.98](https://indike.org/pramana/ins.science.sen-1966.c8.98) \*Manuscript reference:\* IO/JE. v. 2922, 5 ff. Nāgarī. 1637 A.D. ### [c8.99](https://indike.org/pramana/ins.science.sen-1966.c8.99) \*Anonymous Commentary:\* \*Grahasāriṇī\*. ### [c8.100](https://indike.org/pramana/ins.science.sen-1966.c8.100) \*Astodayādhikāra\*. अस्तोदयाधिकार ### [c8.101](https://indike.org/pramana/ins.science.sen-1966.c8.101) An anonymous astronomical work on rising and setting of planets. ### [c8.102](https://indike.org/pramana/ins.science.sen-1966.c8.102) \*Manuscript reference:\* ### [c8.103](https://indike.org/pramana/ins.science.sen-1966.c8.103) BAKHSHĀLĪ MS ### [c8.104](https://indike.org/pramana/ins.science.sen-1966.c8.104) \*Aticāranirṇaya\*. see MAHEŚA ṬHAKKURA. ### [c8.105](https://indike.org/pramana/ins.science.sen-1966.c8.105) \*Avacūrṇi\*. see GUṆARATNA SŪRI. ### [c8.106](https://indike.org/pramana/ins.science.sen-1966.c8.106) \*Ayanāṁśādikaraṇavidhi\*. अयनांशादिकरणविधि An anonymous astronomical work. \*Manuscript reference:\* RORI/JM. ii. p 85, 7, 24 ff. 1733 A.D. ### [c8.107](https://indike.org/pramana/ins.science.sen-1966.c8.107) \*Āyanatattva\*. see ḌHUṆḌHIRĀJA s.o. Nṛsiṃha. ### [c8.108](https://indike.org/pramana/ins.science.sen-1966.c8.108) \*Ayanavāda\*. see RĀMADATTA. ### [c8.109](https://indike.org/pramana/ins.science.sen-1966.c8.109) BĀBĀ DAIVAJÑA s.o. Rāma and brother of Śiva. \*Pañcāṅgasiddhi\*. पञ्चाङ्गसिद्धि \*Manuscript reference:\* CENSUS. 4726, ff. 3-7, 1649 A.D. RORI/JM. ii. 5764. 5 ff. 1907 A.D. ### [c8.110](https://indike.org/pramana/ins.science.sen-1966.c8.110) BĀBUĀ SŪRI \*Karaṇa-pañcāṅga\*. करणपञ्चाङ्ग \*Manuscript reference:\* RAS/BB/VM. p xliv. ### [c8.111](https://indike.org/pramana/ins.science.sen-1966.c8.111) \*Bakhshālī Manuscript\*. (3rd.-4th. century A.D.) ### [c8.112](https://indike.org/pramana/ins.science.sen-1966.c8.112) The Bakhshālī Ms. was found in Bakhshālī village, near the city of Peshawar, in the course of an excavation in 1881. It was written on birch-bark. A considerable portion of the manuscript had been destroyed and only some 70 leaves of birch-bark, of which a few again were mere scraps, survived at the time of its discovery. It is now in the Bodleian Library, Oxford. R. Hoernlé published two accounts of it,—a short one in 1883 and a fuller one in 1886. The last description was republished with some additions in 1888. The work was edited by G. R. Kaye, with a comprehensive introduction and published by the Government of India with photographic facsimiles and transliteration of the text. Hoernlé, Datta and others believed the date of the Ms. to be between the 3rd. and the 4th. century A.D., whereas Kaye expressed the view that the Ms. could not belong to a date earlier than the twelfth century A.D. It is a mathematical work containing rules, with illustrative examples and their solutions, for arithmetical, algebraic and geometrical (including mensuration) operations. The major portion deals with arithmetic, e.g., fractions, square roots, progressions, income and expenditure, ### [c8.113](https://indike.org/pramana/ins.science.sen-1966.c8.113) BAKHSHĀLĪ MS ### [c8.114](https://indike.org/pramana/ins.science.sen-1966.c8.114) profit and loss, computation of gold, interest, rule of three, and summation of complex series. The discussion of algebraic operations includes simple equations, simultaneous linear equations, quadratic, linear equations, and indeterminate equations of the second degree. Problems relating to mensuration and miscellaneous subjects have also been dealt with. ### [c8.115](https://indike.org/pramana/ins.science.sen-1966.c8.115) \*Printed text, translations etc.\* ### [c8.116](https://indike.org/pramana/ins.science.sen-1966.c8.116) The Bakhshālī Manuscript—a study in medieval mathematics. By G. R. Kaye. Part 1: Introduction; Part 11: The Text; Part 111: The Text Rearranged. Archaeological Survey of India. New Imperial Series, Vol. 43, Parts 1, 11 & 111, 1927-33. ### [c8.117](https://indike.org/pramana/ins.science.sen-1966.c8.117) \*Study:\* ### [c8.118](https://indike.org/pramana/ins.science.sen-1966.c8.118) CHAKRABARTY, GURUGOVINDA. ‘The growth and development of progressive series in India,’ \*JDL/CU\*. 24, 1-18, 1934. ### [c8.119](https://indike.org/pramana/ins.science.sen-1966.c8.119) DATTA, B. ‘The Bakhshālī mathematics,’ \*BCMS\*, 21, 1-60, 1929. ### [c8.120](https://indike.org/pramana/ins.science.sen-1966.c8.120) HOERNLÉ, A. F. R. ‘Notices under ‘History of Asiatic Society for 1882’. \*IA\*, 12, 89-90, 1883. ### [c8.121](https://indike.org/pramana/ins.science.sen-1966.c8.121) HOERNLÉ, A. F. R. ‘Verhandlungen des siebenten internationalen orientalisten congresses’, Arische Section, 127, Wein, 1886. ### [c8.122](https://indike.org/pramana/ins.science.sen-1966.c8.122) HOERNLÉ, A. F. R. ‘The Bakhshālī Manuscript’, \*IA\*, 17, 33-48, & 275-79, 1888. ### [c8.123](https://indike.org/pramana/ins.science.sen-1966.c8.123) KAYE, G. R. ‘The Bakhshālī Manuscript’, \*JASB\*, 8, 349-61, 1912. ### [c8.124](https://indike.org/pramana/ins.science.sen-1966.c8.124) SARASVATI, T. A. ‘Śreḍhīkṣetras or diagrammatical representations of mathematical series’, \*JORM\*, 28, no. 1-4, 74-85, 1961. ### [c8.125](https://indike.org/pramana/ins.science.sen-1966.c8.125) SARTON, GEORGE. Introduction to the History of Science, 2, part 1, 214-15, Baltimore, Reprint, 1950. ### [c8.126](https://indike.org/pramana/ins.science.sen-1966.c8.126) SMITH, D. E. History of Mathematics, 1, 164; 2, 70, Dover ed., 1958. ### [c8.127](https://indike.org/pramana/ins.science.sen-1966.c8.127) BALABHADRA (c. 1656 A.D.) \*Hāyanaratna\*. हायनरत्न 1656 A.D. ### [c8.128](https://indike.org/pramana/ins.science.sen-1966.c8.128) \*Manuscript reference:\* ### [c8.129](https://indike.org/pramana/ins.science.sen-1966.c8.129) CP/FK. p. 246, 187, 67 ff. 1849 A.D. LU. 33. ### [c8.130](https://indike.org/pramana/ins.science.sen-1966.c8.130) BALABHADRA of Umānagara, s.o. Vasanta and grandson of Vimalākara. ### [c8.131](https://indike.org/pramana/ins.science.sen-1966.c8.131) \*Bālabodhinī\*. बालबोधिनी 1544 A.D. ### [c8.132](https://indike.org/pramana/ins.science.sen-1966.c8.132) BANARAS. p. 261, 76. ff. 1-17. BU/GD. i, 373, 24 ff. Nāgarī. CSC/HS & SG. ix, 81, 44 ff. Nāgarī, 1796 A.D. NOTICES/RM. ii, 785, 64 ff. NWP. ii, p 117, 23, 41 ff. Nāgarī. ### [c8.133](https://indike.org/pramana/ins.science.sen-1966.c8.133) BALABHADRA (c. 1772-82 A.D.) \*Patraprakāśa\* or \*Patradīpikā\*. पत्रप्रकाश, पत्रदीपिका Astronomical tables according to the calculations of the \*Sūryasiddhānta\*. \*Manuscript reference:\* IO/JE. v, 2973, 84 ff. Nāgarī. ### [c8.134](https://indike.org/pramana/ins.science.sen-1966.c8.134) \*Bālabodha\*. see HARIKARṆA s.o. Sunḍara Śarman. ### [c8.135](https://indike.org/pramana/ins.science.sen-1966.c8.135) \*Bālabodha\*. see MUÑJĀDITYA. ### [c8.136](https://indike.org/pramana/ins.science.sen-1966.c8.136) \*Bālabodhinī\*, comm. by Balabhadra on \*Bhāsvatī\* of Śatānanda. see BALABHADRA. ### [c8.137](https://indike.org/pramana/ins.science.sen-1966.c8.137) \*Bālabodhinī\*. see KṚPĀRĀMA MIŚRA. s.o. Lakṣmīnārāyaṇa. ### [c8.138](https://indike.org/pramana/ins.science.sen-1966.c8.138) BĀLAGOVINDA. \*Grahalāghava-ṭīkā\*. ग्रहलाघवटीका A commentary on the \*Grahalāghava\* of Gaṇeśa Daivajña. \*Manuscript reference:\* LU. 32. ### [c8.139](https://indike.org/pramana/ins.science.sen-1966.c8.139) BĀLAKṚṢṆA, s.o. Yādava, s.o. Rāmakṛṣṇa, s.o. Nārāyaṇa, s.o. Rāmajit. \*Jaimini-sūtrabhāṣya\*. जैमिनिसूत्रभाष्य A commentary on the \*Jaiminisūtra\*, the astronomical aphorisms of Jaimini. \*Manuscript reference:\* GUJARAT. iv. p. 136, 129, 144 ff. 1866 A.D. ### [c8.140](https://indike.org/pramana/ins.science.sen-1966.c8.140) BĀLAKṚṢṆĀNANDA. see KṚṢṆĀNANDA. ### [c8.141](https://indike.org/pramana/ins.science.sen-1966.c8.141) BĀLAMUKUNDA \*Siddhāntarahasya\*. सिद्धान्तरहस्य An astronomical treatise. \*Manuscript reference:\* VVRI/VB. 262, 74 ff. Nāgarī. ### [c8.142](https://indike.org/pramana/ins.science.sen-1966.c8.142) \*Bālaprabodha\*. see HARIKARṆA, s.o. Sundara Śarmaṇ. ### [c8.143](https://indike.org/pramana/ins.science.sen-1966.c8.143) \*Bālaprabodha\*. see YALLAYA. ### [c8.144](https://indike.org/pramana/ins.science.sen-1966.c8.144) BAUDHĀYANA (c. 800-500 B.C.) \*Baudhāyana-śulbasūtra\*. बौधायनशुल्बसूत्र ### [c8.145](https://indike.org/pramana/ins.science.sen-1966.c8.145) It is the earliest and the largest of the Śulba works. It comprises 525 sūtras and is divided into three chapters. The first chapter contains 116 sūtras which give geometrical propositions necessary for the construction of the sacrificial altars and deal briefly with the relative positions and spatial magnitudes of various vedis. The second chapter consists of 86 sūtras of which the major portion is devoted to the description of the spatial relations in the different constructions of the Agnis and the remaining portion explains the construction of several Agnis. The third chapter in 323 sūtras, describes mainly the construction of various types of Agnis. The work is of considerable importance owing to the various mathematical rules and principles implied in the descriptions and rules concerning the sacrificial altars, some of which involve irrational numbers, the so-called Pythagorean theorem, squaring the circle, indeterminate problems and elementary treatment of surds. ### [c8.146](https://indike.org/pramana/ins.science.sen-1966.c8.146) \*Manuscript reference:\* AS/HS. p. 503, 582. AS/KVK. p. 121, two copies. ### [c8.147](https://indike.org/pramana/ins.science.sen-1966.c8.147) \*Commentators:\* Dvārakānātha, Vyaṅkaṭeśvara Dikṣita. ### [c8.148](https://indike.org/pramana/ins.science.sen-1966.c8.148) \*Anonymous commentary.\* \*Baudhāyana-śulba-sūtra-vyākhyā.\* ### [c8.149](https://indike.org/pramana/ins.science.sen-1966.c8.149) \*Printed text, translations etc.\* \*Baudhāyana Śulba\*, published by G. Thibaut with English translation, critical notes, extracts from the commentary of Dvārakānātha Yajvā and a few diagrams. PANDIT, old series 9 and 10, 1874-5; ns. 1, Benares, 1877. \*Baudhāyana Śulba\*. The text is printed in the \*Baudhāyana Śrauta Sūtra\*, being the 30th. chapter of it, edited by W. Caland, in three volumes, Calcutta, 1904, 1907, 1913. ### [c8.150](https://indike.org/pramana/ins.science.sen-1966.c8.150) \*Study:\* APTE, R. N. ‘Some points connected with the constructive geometry of the Vedic altars’, ABORI, 7, part 1 & 2, 1-16, 1926. CAJORI, F. \*History of Mathematics\*, 2nd. revised & enlarged edition, 84-86, New York, 1958. ### [c8.151](https://indike.org/pramana/ins.science.sen-1966.c8.151) BAUDHĀYANA-ŚULBASŪTRAVYĀKHYĀ ### [c8.152](https://indike.org/pramana/ins.science.sen-1966.c8.152) CANTOR, M. \*Vorlesungen über die Geschichte der Mathematik\*, 1, 3, 636-45, 1907. CHAKRABARTY, GURUGOVINDA. ‘On the earliest Hindu methods of quadrature,’ \*JDL/CU\*, 24, 23-28, 1934. CHAKRABARTY, GURUGOVINDA. ‘On the Hindu treatment of fractions,’ \*JDL/CU\*, 24, 59-76, 1934. CHAKRABARTY, GURUGOVINDA. ‘Surd in Hindu Mathematics’, \*JDL/CU\*, 24, 29-58, 1934. DATTA, B. \*The Science of Śulba, a study in early Hindu geometry\*. Calcutta University, 1932. DATTA, B. Vedic Mathematics, Ramakrisna Centenary Committee: Cultural Heritage, 3, 378-401, 1937. DRENCKHAHN, FRIEDRICH. ‘Sur Zirkulatur des Quadrats und Quadratur des Kreises in den Śulba Sūtra’, \*JDMV\*, 46, 1-13, 1936. GANGULY, SARADAKANTA. ‘On the Hindu names for the rectilinear geometrical figure’, \*JASB\*, 26, 283-90, 1930. LEVI, B. ‘Osservazioni et congetture sopra la geometria degli idiani’, \*BM\*, 9, 97-105, 1908-9. LÖSCHHORN, K. ‘Über das alter des Pythagoräischen Lehrsatzes’, \*ZMU\*, 33, 183, 1902. MAZUMDAR, N. K. ‘On the different śulba-sūtras’, \*PTOC/11\*, 561-64, Calcutta, 1922. MÜLLER, C. ‘Die Mathematik der śulba-sūtra’, \*AGM\*, 7, 173-204, 1929. SENGUPTA, P. C. ‘Time indications in the Baudhāyana Śrauta sūtra’, \*JASB\*, 7, 3rd. series, 207-214, 1941. SHAMASASTRY, R. ‘RoHiTA—a sure test of the Vedic cycle’, \*PO\*, 5, no. 4, 161-85, 1940-41. SMITH, D. E. \*History of Mathematics\*, 1, 97-98, Dover ed. 1958. THIBAUT, G. ‘On the śulba-sūtras’, \*JASB\*, 44, no. 3, 227-275, 1875. VOGT, H. ‘Der Pythagorische Lehrsatz in den ältesten Geometry der Inder’, \*SG\*, section 84, 3, 1906. VOGT, H. ‘Haben die alten Inder den Pythagorischen Lehrsatz und das Irrationale gekannt’, \*BM\*, 3, 6-23, 1907. WINTERNITZ, M. \*Geschichte der indischen Litteratur\*, 3, 176, Leipzig, 1922. ZEUTHEN, H. G. ‘Sur l’Arithmétique Géometrique des Grecs et des Indiens’, \*BM\*, series 3, 5, 97-112, 1904. ZEUTHEN, H. G. ‘Théorem de Pythagore origine de la géometrie scientifique’, \*CRCIP/11\*, Gènève, 1904. ### [c8.153](https://indike.org/pramana/ins.science.sen-1966.c8.153) \*Baudhāyana-śulbasūtra\*. see BAUDHĀYANA. ### [c8.154](https://indike.org/pramana/ins.science.sen-1966.c8.154) \*Baudhāyanaśulbasūtravyākhyā\*. बौधायनशुल्बसूत्रव्याख्या It is a commentary on the Śulbasūtra of Baudhāyana. ### [c8.155](https://indike.org/pramana/ins.science.sen-1966.c8.155) BAUDHĀYANA-ŚULBASŪTRAVYĀKHYĀ ### [c8.156](https://indike.org/pramana/ins.science.sen-1966.c8.156) VVRI/VR. p. 75. 13, 98 ff. Nāgarī. ### [c8.157](https://indike.org/pramana/ins.science.sen-1966.c8.157) \*Baudhāyana-śulbasūtravyākhyā.\* see DVĀRAKĀNĀTHA. ### [c8.158](https://indike.org/pramana/ins.science.sen-1966.c8.158) \*Bhūbhrama-rekhānirūpaṇa.\* see SUDHĀKARA DVIVEDIN. ### [c8.159](https://indike.org/pramana/ins.science.sen-1966.c8.159) \*Bhāgapañcāṅga.\* भागपञ्चाङ्ग A set of mathematical tables used for computing the calendar from the lunar time. ### [c8.160](https://indike.org/pramana/ins.science.sen-1966.c8.160) \*Manuscript reference:\* BM/CB. 473, 4 ff. ### [c8.161](https://indike.org/pramana/ins.science.sen-1966.c8.161) BHĀIRAVA of Piṭhāpura (c. 1886 A.D.) ### [c8.162](https://indike.org/pramana/ins.science.sen-1966.c8.162) \*Sūryasiddhānta-jyāgaṇita.\* सूर्यसिद्धान्तज्यागणित Astronomical tables for finding out the positions of the five planets, viz, Mars, Mercury, Venus, Jupitar and Saturn in their movements through the signs of the Zodiac. ### [c8.163](https://indike.org/pramana/ins.science.sen-1966.c8.163) \*Manuscript reference:\* MADRAS/D. xxiv, 13514, 23 ff. ### [c8.164](https://indike.org/pramana/ins.science.sen-1966.c8.164) \*Bhaṅgīvibhaṅgīkaraṇa.\* see RAṄGANĀTHA s.o. Nṛsiṃha Daivajña. ### [c8.165](https://indike.org/pramana/ins.science.sen-1966.c8.165) BHĀNUJIT ### [c8.166](https://indike.org/pramana/ins.science.sen-1966.c8.166) \*Khecara bhūṣaṇa.\* खेचर भूषण An astronomical work. ### [c8.167](https://indike.org/pramana/ins.science.sen-1966.c8.167) \*Manuscript reference:\* GUJARAT. iv. p. 120, 39, 16 ff. ### [c8.168](https://indike.org/pramana/ins.science.sen-1966.c8.168) BHARATA, s.o. Yaśodhara. ### [c8.169](https://indike.org/pramana/ins.science.sen-1966.c8.169) \*Rasālā.\* रसाला An elementary treatise on astronomy. ### [c8.170](https://indike.org/pramana/ins.science.sen-1966.c8.170) \*Manuscript reference:\* BORS/AB. iii, 299, 10 ff. Maithili. ### [c8.171](https://indike.org/pramana/ins.science.sen-1966.c8.171) BHĀRGAVA ### [c8.172](https://indike.org/pramana/ins.science.sen-1966.c8.172) \*Nakṣatramālā.\* नक्षत्रमाला An astronomical work. ### [c8.173](https://indike.org/pramana/ins.science.sen-1966.c8.173) \*Manuscript reference:\* TANJORE/PPS. xvi, 11465, 25 ff. Grantha. ### [c8.174](https://indike.org/pramana/ins.science.sen-1966.c8.174) \*Bhārgava-sūtra.\* see BHRGU. ### [c8.175](https://indike.org/pramana/ins.science.sen-1966.c8.175) BHĀSKARA I ### [c8.176](https://indike.org/pramana/ins.science.sen-1966.c8.176) BHĀSKARA 1. (c. 600 A.D.) ### [c8.177](https://indike.org/pramana/ins.science.sen-1966.c8.177) 1. \*Āryabhaṭīya-sūtrabhāṣya\* or \*Āryabhaṭīya-tantrabhāṣya\*. आर्यभटीयसूत्रभाष्य, आर्यभटीयतन्त्रभाष्य A commentary on the \*Āryabhaṭīya\* of Āryabhaṭa 1. \*Manuscript reference:\* IO/AK. ii. part i, 6265, 134 ff. Grantha. 1840 A.D. TRI/TG. v. p. 120, Malayalam. ### [c8.178](https://indike.org/pramana/ins.science.sen-1966.c8.178) 2. \*Laghubhāskarīya\*. लघुभास्करीय An abridged and simplified version of his own \*Mahābhāskarīya\* in 8 chs. \*Manuscript reference:\* MADRAS/D. xxiv, 13474, 23 ff. Nāgarī. TRI/KS. iii, 890c, 34 ff. Malayalam, incomplete; iv, 940, 10 ff. Malayalam; 941, 17 ff. Malayalam; 946, 64 ff. Malayalam. TRI/TG. i. p. 166, Malayalam. \*Commentators:\* Parameśvara, Śaṅkaranārāyaṇa and Udayadivākara. \*Printed text, translations etc.\* The \*Laghubhāskarīya\* with the commentary \*Vivaraṇa\* of Śaṅkaranārāyaṇa. Trivandrum Sanskrit Series no. 162, Trivandrum. 1949. \*Laghubhāskarīya\*, edited and translated into English by Kripa Sankar Shukla Lucknow Univ., 1963. ### [c8.179](https://indike.org/pramana/ins.science.sen-1966.c8.179) 3. \*Mahābhāskarīya\* or \*Bṛhat-bhāskarīya\*. महाभास्करीय, बृहत्भास्करीय An astronomical treatise dealing with the duration of day and night, the method of testing the accuracy of a given position of the planets, the mode of finding out the excess month in a year etc. It discusses the \*grahakarma\*, a subject which was practically neglected by Āryabhaṭa, and is the earliest work known to have systematically dealt with the \*modus operandi\* for determining the position of the planets, using the principles of arithmetical calculations enunciated by Āryabhaṭa 1 in the \*gaṇitapāda\* of his work. This work is divided into 8 chs. viz., (i) Madhyamādhikāra, (ii) Deśāntarakarma, (iii) Tripraśnādhikāra, (iv) Sphaṭavidhi, (v) Grahaṇādhyāya, (vi) Darśanasamkārādi, (vii) Yugabhagaṇādi, (viii) Tithyānayanādi. \*Manuscript reference:\* LU. 42. MADRAS/D. xxiv, 13467, 75 ff. Nāgarī. ### [c8.180](https://indike.org/pramana/ins.science.sen-1966.c8.180) PU. ii, 3739, 8 ff. Tamil. TRI/KS. iv, 902, 26 ff. Grantha. TRI/FG. i, p. 156. Malayalam. VVRI/VB. 5859, 32 ff. Malayalam. ### [c8.181](https://indike.org/pramana/ins.science.sen-1966.c8.181) Commentators: Govindaśvāmī and Parameśvara. ### [c8.182](https://indike.org/pramana/ins.science.sen-1966.c8.182) Anonymous Commentary: Mahābhāskarīyavyākhyā. ### [c8.183](https://indike.org/pramana/ins.science.sen-1966.c8.183) Printed text, translations etc. Mahābhāskarīya with the commentary Karmadīpikā by Parameśvara, edited by Balavantaraya Apte. Anandasrama Sanskrit Series no. 126, Poona, 1945. Mahābhāskarīya, edited with introduction and appendices by T. S. Kuppanna Sastri. Madras Government Oriental Series no. 130. Madras, 1957. Mahābhāskarīya. Edited and translated into English by Kripa Sankar Shukla. Lucknow University, 1960. ### [c8.184](https://indike.org/pramana/ins.science.sen-1966.c8.184) Study: DUTTA, B. ‘The two Bhāskaras’, IHQ, 6, 727-36, 1930. SINGH, A. N. ‘Hindu Trigonometry’, PBMS, ns. 1, 77-92, 1939. ### [c8.185](https://indike.org/pramana/ins.science.sen-1966.c8.185) BHĀSKARĀCĀRYA or BHĀSKARA II, s.o. Maheśvara, 1114 A.D. ### [c8.186](https://indike.org/pramana/ins.science.sen-1966.c8.186) 1. Bījagaṇita. बीजगणित ### [c8.187](https://indike.org/pramana/ins.science.sen-1966.c8.187) Well known algebraical work consisting of the following chs: (i) Ghana-vivaraṇa, (ii) Śūnya-vivaraṇa, (iii) Varṇavivaraṇa, (iv) Karaṇī-vivaraṇa, (v) Kuṭṭaka-vivaraṇa, (vi) Varga-vivaraṇa, (vii) Ekavarṇasamīkaraṇa, (viii) Madhyamāharaṇa, (ix) Anekavarṇasamīkaraṇa, (x) Anekavarṇamadhyamāharaṇa, (xi) Bhāvita. ### [c8.188](https://indike.org/pramana/ins.science.sen-1966.c8.188) Manuscript reference: ANUP. iv. p. 373, 498, 63 ff.; 499, 46 ff. AS/HS & PS. x. 67 ff. Bengali. Early 19th. century. AS/KBK. p. 179. Two copies, one in Bengali & other in Nāgarī. BANARAS. p. 156, 95, 81 ff. BERLIN. i, 830, 15 ff. BIK/RM. 754, 46 ff. Nāgarī. BM/CB. 447, 46 ff. Nāgarī. 19th. century; 448, Nāgarī. 19th. century. BN/AC. i. 989, 81 ff. Nāgarī. 1793 A.D. BORS/AB. iii, 214, 59 ff. Maithili; 214A-N. BU/GD. i, 386, 63 ff. Nāgarī. BU/HV. 1449, 59 ff. Nāgarī. 1837 A.D. CP/FK. p. 234, 94, 149 ff. 1839 A.D. ### [c8.189](https://indike.org/pramana/ins.science.sen-1966.c8.189) IO/AK. \*parti.\* 6295, 45 ff. Telugu 18th century. IO/JE. \*v.\* 2819, 36 ff. Bengali 1790 A.D.; 2820, 25 ff. Nāgarī, c. 1730 A.D.; 2821, 51 ff. Nāgarī, 1754 A.D.; 2822, 37 ff. Nāgarī, 1813 A.D. LEIPZIG/TA. 963, 45 ff. c 1780 A.D. LU. 44. MADRAS/D. xxiv. \*13458\*, 278 ff. Grantha, 1869 A.D. incomplete; \*13459\*, 196 ff. Grantha, 1870 A.D.; \*13460\*, 216 ff. Grantha. incomplete; \*13461\*, 92 ff. Grantha. incomplete. MADRAS/T. vol. x. Sanskrit B. 6043, 50 ff. Grantha. incomplete. MYSORE/AM. p. 51. \*141\*, 99 ff. Telugu. NU/VK. \*1250\*, 94 ff. Nāgarī, 1700 A.D.; \*1251\*, 40 ff. Nāgarī; \*1252\*, ff. 56+51. Nāgarī. 1807 A.D. PU. ii. \*3677\*, 130 ff. Nāgarī; \*3678\*, 25 ff. Nāgarī. 1884 A.D. RAS/BB/HV. \*276\*, 81 ff. Nāgarī; also see \*277\*. RTL/MS. p. 116. 42 ff. Kāshmirī. VVRI/VB. p. 78, \*2666\*, 21 ff. Nāgarī; \*2588\*, 19 ff. incomplete. ### [c8.190](https://indike.org/pramana/ins.science.sen-1966.c8.190) Commentators: Kṛpārāma Miśra, Kṛṣṇa Daivajñā, Paramasukha, Rāmakṛṣṇa, Sūryadaivajña, Sūryadāsa. ### [c8.191](https://indike.org/pramana/ins.science.sen-1966.c8.191) Anonymous commentary: \*Bijāṅkura\*, \*Bijāṅkurodāharaṇa\*, \*Bijagaṇitanaukā\*, \*Bijodāharaṇa\*. ### [c8.192](https://indike.org/pramana/ins.science.sen-1966.c8.192) Printed text, translations etc. \*Bija Gaṇita: On the Algebra of the Hindus\* by E. Strachey, 119 p. London, 1813. \*Algebra with Arithmetic and Mensuration from the Sanskrit of Brahmegupta and Bhāscara\* by H. T. Colebrooke. London, 1817; contains translations with notes of part of the \*Bijagaṇita\*. Calcutta, 1834. \*Bijagaṇita\*. Gildmeister Bibliotheca Sanskritica. nos. 508-9. Calcutta. \*Bijagaṇita\*. Sāra Sudhānidhi Press. Calcutta. 1836 \*Bijagaṇita\*. Agra School Book Society, 1846. \*Bijagaṇita\*. Calcutta. 1853. \*Bijagaṇita\*. ed. Gopinātha Pāṭhaka. Litho Press. Benares, 1864. \*Bijagaṇita\*. ed. Bāpudeva Sāstrī in 2 pts. 1875. \*Bijagaṇita\*. ed. Jīvānanda Bhaṭṭācārya. Calcutta, 1878. \*Bijagaṇita\*. ed. with a commentary \*Subodhini\* by Jīvanātha, Benares. 1885. \*Bijagaṇita\*. ed. with a commentary by Sūdhākara Dvivedin. Benares Printing Press. 1888. \*Bijagaṇita\* with Mārāṭhī translation and exposition by Vināyaka Pāṇḍuraṅga Khanapurkar. Poona, 1913. \*Bijagaṇita\*. ed. Rādhāvallabha Jyotiṣatīrtha. 1917. \*Bijagaṇitam Avyaktagaṇitam vā\*, with expository notes and illustrative examples by Sūdhākara Dvivedin, ed. with notes by Muralidhara Jhā. Benares Sanskrit Series. no. 154. Benares 1927. \*Bījagaṇita\* with the commentary \*Navāṅkura\* by Kṛṣṇa Daivajña. Anandasrama Sanskrit Series no. 99. Poona 1930. \*Bījagaṇita\* with the commentary \*Bījapallava\* of Kṛṣṇa Daivajña, ed. T. V. Rādhākṛṣṇa Śāstrī. Tanjore Sarasvati Mahal Series no. 98. Tanjore, 1958. ### [c8.193](https://indike.org/pramana/ins.science.sen-1966.c8.193) Study: BRIJMOHAN. ‘The terminology of Bhāskara’, \*JOIB\*, 9, no. 1, 17-22. BROCKHAUS, H. ‘Über die Algebra des Bhāskara’, Berlin, 1862. BURROW, REUBEN. ‘The Proof that the Hindus knew the Binomial theorem’, \*AR\*, 2, appendix iii, 487-497, 1790. CAJORI, F. \*History of Mathematics\*, 2nd. revised and enlarged edition, 85, 71, 86, 87, 92, 94, 97, 99. New York, 1958. CHAKRABARTY, GURUGOVINDA. ‘Growth and development of permutation and combination in India’, \*BCMS\*, 24, 79-88, 1932. COLEBROOKE, H. T. \*Algebra with Arithmetic and Mensuration, from the Sanskrit of Brahmagupta and Bhāscara\*, London, 1817. DATTA, B. ‘The Hindu solution of the general Pellian equation’, \*BCMS\*, 19, 87-94, 1928. GANGULI, SARADAKANTA. ‘The Source of Indian Solution of the so-called Pellian equation’, \*BCMS\*, 19, 151-76, 1928. NEEDHAM, J. \*Science and Civilisation in China\*, 3, 64, 88, 91, 96, 141, 147, Cambridge, 1954. PLAYFAIR, J. ‘Algebra with Arithmetic and Mensuration from the Sanskrit of Brahmagupta and Bhāskara, translated by H. T. Colebrooke’, \*Edinburgh Review\*, 29, 141-164, 1817. POTTS, D. H. ‘Solution of a Diophantine system proposed by Bhāskara’, \*BCMS\*, 38, 21-24, 1946. ROY, D. M. ‘The Culture of Mathematics among the Jainas of Southern India in the ninth century’, \*ABORI\*, 8, 145-47, 1927. SARTON, GEORGE. \*Introduction to the History of Science\*, 1, 720; 2, parti, 212-14, Reprint, 1950. SASTRI, BAPUDEVA. ‘A brief account of Bhāskara and of the works written and discoveries made by him’, \*JASB\*, 62, no. 3, 223-29, 1894. SMITH, D. E. \*History of Mathematics\*, 1, 278-80; 2, 380, 425, 426, 446, 484, 501, 525, Dover edition. 1958. STRACHEY, E. \*Bija Gaṇita: On the Algebra of the Hindus\*, 119 p. London, 1813. WINTERNITZ, M. \*Geschichte der Indischen Litteratur\*, 3, 573, Leipzig, 1922. ### [c8.194](https://indike.org/pramana/ins.science.sen-1966.c8.194) 2. \*Bījopanaya\*. बीजोपनय Although this astronomical tract for Bija corrections has been ### [c8.195](https://indike.org/pramana/ins.science.sen-1966.c8.195) BHĀSKARA II ### [c8.196](https://indike.org/pramana/ins.science.sen-1966.c8.196) ascribed to Bhāskarācārya, this has been questioned by T. S. Kuppanna Sastri (see under Study). ### [c8.197](https://indike.org/pramana/ins.science.sen-1966.c8.197) \*Printed texts and translations etc.\* \*Bijopanaya\*. Ed. by Chintamani Raghunathacharya and Thadhakamalla Venatakrishna Raya. Graves Cookson & Co., Madras, 1876. \*Bijopanaya\*. Ed. by Ekendranatha Ghosh. Motilal Banarsidass Lahore, 1926. ### [c8.198](https://indike.org/pramana/ins.science.sen-1966.c8.198) \*Study:\* MUKHOPADHYAYA, DHIRENDRANATH. ‘The Evection and the Variation of the moon in Hindu astronomy’, BCMS, 22, 121-22, 1930. SASTRI, T. S. KUPPANNA. ‘The Bijopanaya: Is it a work of Bhāskarācārya?’, JOIB, 8, 399-409, 1958. SENGUPTA, P. C. ‘Hindu Luni Solar Astronomy’, BCMS, 24, 1-18, 1932. ### [c8.199](https://indike.org/pramana/ins.science.sen-1966.c8.199) 3. \*Līlāvatī\*. लीलावती ### [c8.200](https://indike.org/pramana/ins.science.sen-1966.c8.200) Well-known work on arithmetic and geometry divided into following chs: (i) Paribhāṣā, (ii) Saṅkalitavyāvakalita, varga, vargamūla, ghana, ghana mūla, śūnyaparikarma etc., (iii) Vyāstavidhi, trairāśika etc., (iv) Miśrakavyavahāra, (v) Średhīvyavahāra, (vi) Ksetravyavahāra, (vii) Khātavyavahāra, (viii) Citi, (ix) Krakaca-vyavahāra, (x) Rāśi-vyavahāra, (xi) Chāyā-vyavahāra, (xii) Kuṭṭaka, (xiii) Aṅkapāśa-vyavahāra. ### [c8.201](https://indike.org/pramana/ins.science.sen-1966.c8.201) \*Manuscript reference:\* ANUP. iv. p. 385, 93, 37 ff; 94, 35 ff; 95, 32 ff. Lacks the end; 96, 26 ff. 1619 A.D.; 97, 5 ff. a fragment. AS/HS & PS. x. 6921, 39 ff. Nāgarī. BANARAS. p. 356, 89, ff. 16-62. 1820. A.D. BC/HS. 29, 135 ff. Bengali. BERLIN. i. 828, 55 ff; 829a, 80 ff. 1653 A.D.; 829b, 45 ff. BIK/RM. 676, 37 ff. Nāgarī. BM/CB. 445, 64 ff. 1824 A.D.; 446, 48 ff. 17th. century. BN/AC. i. 254(11), Bengali, 1840 A.D. BORS/AB. iii, 320, Maithili. 26 ff. 1818 A.D.; 321A, 49 ff. Maithili; 321B, 30 ff. Maithili. 1790 A.D.; 321C, 42 ff. Maithili. 1842 A.D.; 321D, 54 ff. Maithili. 1844 A.D.; 321E, 38 ff. Maithili. 1729 A.D.; 321F, 38 ff. Maithili. 1814 A.D.; 321G, 37 ff. Maithili; 321H, 31 ff. Maithili; 321I, 54 ff. Maithili; 321J, 43 ff. Maithili; 321K, 46 ff. Maithili; 321L, 33 ff. Nāgarī; 321M, 20 ff. Maithili. 1747 A.D. BU/GD. i. 384, 37 ff. Nāgarī. BU/HV. 1448, 35 ff. Nāgarī. CENSUS. 4747, 12 ff. Nāgarī; 4748, 6 ff. Nāgarī. incomplete; 4749, 35 ff. Nāgarī; 4750, 46 ff. Nāgarī. 1698 A.D.; 4751, ff. 36-59. Nāgarī; 4752, 54 ff. Nāgarī. 1885 A.D.; 4753, ff. 1-8, 11-32. Nāgarī. 1717 A.D.; 4754, ff 1-38. Nāgarī; 4755, 47 ff. Nāgarī. 1891 A.D.; 4756, 14 ff, Nāgarī; 4757, 6 ff, Nāgarī. incomplete. 4758, ff. 7-40. Nāgarī. incomplete; 4759, 88 ff. Malayalam; 4760, ff. 1-133, ff. 1-97. Nāgarī. CP/FK. p. 240, 143, 24 ff. _First 200 of 2,457 passages. 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