Jinamanjari 1999 04 No 19

SR No.: 524019
Original Sutra Author: N/A
Author: Jinamanjari
Publisher: Canada Bramhi Jain Society Publication
Publication Year: 1999
Total Pages: 88
Language: English
Classification: Magazine, Canada_Jinamanjari, & Canada
File Size: 5 MB

Page 23

texts and the Karṇāṭaka Vṛtti were not before him. Yet one has to delve deeply into the theory also for showing the origination and motivation of the terminology. He dealt with their definitions and their historical importance. Dr. A.N. Singh also attempted the same thing while he contributed articles on the mathematics of the Dharvalā and other texts. 12 However, a study of the heirarchy of various topics is needed for fruitful results and recognition.
In this brief article we give certain mathematical terms out of which the asterisk marked will be those whose measure could be rather ascertained (translated into Hindi from their Prakrit version): Parikarma (eight operations -- pratutpanna, bhāgahāra, varga, vargamula, ghana, ghanmūla, sankalita and vyutkalita); Rāšis (set-synonyms like samūha, pinda, puñja, sampāta, abhinna, etc.); Jīva rāśi*; Ajīva rāsi*; salākā (counting rod); samkhyāta*; asaṁkhyāta*; Ananta*; Angula (finger)*; Jagasreni (world line)*; Loka*; Palya*; Sāgara*; Muhūrta*; Antarmuhurta*; Samaya*; Pradeśa*; Varga*; Vargaṇā*; Spardhaka*; Guṇahāni*; Nāṇā Gunahāni*; Anyonyabhyasta rāsi*: Samayaprabaddha*; Pudgala paramānu rāśi*; Ākāśa pradeśa rāśi*; Kāla samaya rāsi*; Kevalajñāna rāśi*; Kalpa*; Avali*; Rajju*; Yojana*; Kalāsavarna; Yāvat-tāvat; Addhā; Uddhāra; Vyavahāra; Ardhaccheda; Trikaccheda; Vargasalākā; Vargita-saṁvargita; Vikalpa; Bhamga; Samdrsti; Gaṇana Sthanā; Oja and Yugma rasis; Guṇaśareņi; Sarvadhana; Gaccha; Mukha; Madhyadhana; Ādidhana; Uttaradhana; Dhārās; Alpabahutva; Utsedha; Dhanuṣa; Bāṇa; Viṣkambha; Kṣetraphala; and so on.
13
Various terms of the Labdhisara have been defined by Todaramala in the Arthasamdṛṣṭi Adhikāra of his Samyakjñāna Candrikā commentary. These terms like the Apakarṣaṇa, Utkarṣaṇa, etc., give operational details in the theory of karma.
The relations between various entities have been given through several formulae, both in the karma theory and the cosmological theory. These formulae can be seen in a collected form in the project work on the Labdhisära assigned by the Indian National Science Academy.14 For astronomical formulae, some may be seen in Jaina Astronomy, published doctoral thesis of Lishk. 15 For cosmological formulae, one can see the "Mathematics of the Tiloyapanṇattī." "16
Concluding Remarks
The appearance of the Ganitasara Samgraha of Mahāvīrācarya in 1912 gave the first indication of the Jaina School of Mathematics in South India. It was a full book on practical mathematics. He was the
21