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Length Units in Jaina Astronomy

By Sajjan Singh Lishk, S. D. Sharma

Vol. 13 · No. 4April - 1979pp. 143–154English

Summary

The article "Length Units in Jaina Astronomy" by Sajjann Singh Lishk and S. D. Sharma examines the diversity of length measures in ancient Indian astronomy, focusing on the post-Vedanga pre-Siddhantic period. The main argument is that three different Jaina systems of measurement—the atma, utsedha, and pramana systems—coexisted, leading to significant variations in the magnitude of units like the yojana and creating confusion when relating them to British miles. The evidence is drawn primarily from Jaina canonical texts such as the Anuyogadvara Sutra (ADS) and the Tiloya Pannatti (TP), alongside comparative data from other traditions including the Paulisa Siddhanta (PS), Siddhantic units, the Buddhist Lalita-vistara, and reports by Megasthenes and Strabo. The authors demonstrate that a pramana unit equals 500 atma units or 1000 utsedha units, and that a yojana consistently contains 768,000 angulas across these Jaina systems. However, when comparing these to other texts, the Buddhistic kosa contains 1000 dhanusas instead of 2000, and the Buddhistic angula contains 7 yavas instead of 8, resulting in a Buddhistic yojana being half or one-seventh the size of a Jaina yojana depending on the conversion. The article also details the fluctuating estimates of the yojana's length in British miles, ranging from 4.5 to 16 miles according to various scholars like Dvivedi, Alberuni, and Fleet, and uses astronomical calculations, such as the Sun's declination and distance from the axis of Meru, to test these values. The authors conclude that careful attention to the specific system of measurement is essential to avoid misinterpretation of ancient distances, as the numerical relationships between the three Jaina systems persisted even as their actual physical lengths changed over time.

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Conclusion

This study elucidates the complexity of length units in ancient Indian astronomy, particularly within post-Vedanga pre-Siddhantic Jaina canonical texts, revealing three distinct systems of measurement: the *atma*, *utsedha*, and *pramana* systems. These systems, while sharing nomenclature, exhibit significant variations in magnitude, with one *pramana* unit equating to 500 *atma* units or 1000 *utsedha* units. The research highlights how these diverse systems, alongside other contemporary traditions like Buddhist and Siddhantic measures, create substantial ambiguity in translating ancient astronomical distances, such as the *yojana*, into modern units like the British mile. The findings underscore that the number of miles in a *yojana* is not fixed but fluctuates based on the specific measurement system and historical period. Consequently, the article emphasizes the critical need for meticulous contextual analysis when interpreting ancient geographical and astronomical texts, as the misunderstanding of these foundational units can lead to profound miscalculations of historical distances.

Key passages

Chosen by AI from the article's text. Each one is checked word for word against the text before it is shown.

  • “The article renders a simple probe into the diversity of length-units in ancient Indian astronomy and particularly elucidates the role of three different systems of measures of length as depicted in the Jaina canonical texts of post-Vedanga pre-Siddhantic period in the history of ancient Indian astronomy.”
  • “There are three kinds of an angula, viz. Gtmangula, utsedhangula, (and) pramanangula.”
  • “Thus we find on comparison with Jaina units of length that a Buddhistic kofa contains 1000 dhanusas instead of 2000 dhanusas, and a Buddhistic aigula contains 7 yavas instead of 8 yavas.”

Works cited in this article

  1. Atharvavediya Jyotisa, Hindi tr. by Chote Lal Sarma and Om Narain Dvivedi, Sri Pitamber Peeth Prishad, Datya, M.P.
  2. Bhartiya Jyotisa Sastra of S. B. Dixit. Eng. tr. by R. V. Vaidya, 1969, Part I., pp. 97-98, The Manager of Publications, New Delhi.
  3. Anuyogadvara Sutra (= ADS), Hindi tr. by Amolak Rishi, Jain Shastrodhar Mudranalya, Sikandrabad.
  4. Srinivasa Iengar, C.N., The History of Ancient Indian Mathematics, 1967, pp. 24-25, The World Press, Calcutta.
  5. Jain, L. C., ‘Tiloya Pannatti ka Ganita ’(in Hindi), prefixed with ‘Jambudiva Pannatti Samgaho’, 1958, p. 21, edited by A. N. Upadhye and Hira Lal Jain. Jivaraj Jain Granthamala No. 7, Sholapur.

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