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Karaṇapaddhati of Putumana Somayājī. 1st ed. 2018

種類:
電子ブック
責任表示:
by Venketeswara Pai, K. Ramasubramanian, M.S. Sriram, M.D. Srinivas
出版情報:
Singapore : Springer Nature Singapore : Imprint: Springer, 2018
著者名:
シリーズ名:
Sources and Studies in the History of Mathematics and Physical Sciences ;
ISBN:
9789811068140 [9811068143]  CiNii Books  Calil
注記:
Chapter 1. Mean planets and the śakābdasaṃskāra -- Chapter 2. Obtaining smaller guṇas and hāras -- Chapter 3. Computation of the khaṇḍa, dhruva, etc. of the Moon -- Chapter 4. Obtaining the hārakas for the planets -- Chapter 5. Examination of the revolution numbers etc -- Chapter 6. Relation between the circumference and the diameter and computation of Rsines -- Chapter 7. Obtaining the planetary longitudes -- Chapter 8. Gnomonic shadow -- Chapter 9. Ascendent at the meridian transit -- Chapter 10. Obtaining the Right Ascension, etc.
Karaṇapaddhati of Putumana Somayājī is an important text of the Kerala School of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the karaṇa texts are essentially computational manuals and they often display a high level of ingenuity in coming up with simplified algorithms for computing planetary longitudes and other related quantities. Karaṇapaddhati, however, is not a karaṇa text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karaṇa text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker. Karaṇapaddhati presents the theoretical basis for the vākya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khaṇḍa, maṇḍala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form vākyas or mnemon
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