Deshbhushanji Aacharya Abhinandan Granth

SR No.: 012045
Original Sutra Author: N/A
Author: R C Gupta
Publisher: Deshbhushanji Maharaj Trust
Publication Year: 1987
Total Pages: 1766
Language: Hindi, English
Classification: Smruti_Granth & Articles
File Size: 56 MB

Page 905

circumference=316,227 yojana, 3 gavyuti, 128 dhanu, 137 angula and a little over, and area=790,569 41,50 yojana, 1 gavyuti, 1515 dhanu, 60 angula nearly, where
1 yojana=4 gavyuti 1 gavyuti=2000 dhanu 1 dhanu=100 angula.
It may be observed here that in calculating the above values of the circumference and the area of the Jambudvipa from the formule (i) and (ii), there has been followed a principle of approximation to the value of a surd which may be expressed as
Ñ Ñ=vate =a+så
The modern historians of mathematics, by mistake have attributed the credit of this approximate square-root formula to Heron of Alexendral (3rd Cent. A.D.), but the credit for its first discovery should very rightly go to the Indians.
In Jaina work, we notice another kind of approximation. In a mixed number, the fractional part greater then is replaced by 1, while the fractional part less than is ignored. For practical purposes, the value of a quantity is often times given in round figures and the true value of that quantity is either a little more (Kincidvişeşa dhika) or a little less (Kincidvi sesona).
As stated earlier, according to Jain cosmography, the Jambudvipa is divided into seven parts. The Jambudvipa Prajnapti (500 B.C.) gives the linear dimensions of each of these parts. The southern most segment of the Jambudvipa' is called the Bhäratavarsa (India). The dimentions of this segment, as stated in Jambudvipa Prajnapti, are :
the breadth i.e. the height of the circular segment is
=5261ğ Yojana
the length i.e. the chord of the segment is
ana and a little over.
the length of the southern boundary of the segment i.e. the arc
=14528Yojana.
1. 2.
2. Jivabhigama Sutra. Sutra 82, 124. 3. Anuyogadwara Sutra. Sutra 146. 4. Jam budvipa Samasa of Umaswati (150 B. C.) Ch. I. 5. Ttrailokya dipika and Laghu K setra Samasa of Ratna Sekhara Suri. (1449 A. D.). See Smith History II. p. 254. W. Kirfel, Die Kosmographie der Inder. Bonn. 1920. p. 216. See Jambudvipa Prajnapti. Sutra 10-12, 16. With the commentary of Santi Candra Gani. Ed. by Agamodaya Samiti of Mahasana. 1918.
3.
जैन प्राच्य विद्याएँ