Ganittilakam Savrtuttikam

SR No.: 003174
Original Sutra Author: N/A
Author: Hiralal R Kapadia
Publisher: Oriental Research Institute Vadodra
Publication Year: 1937
Total Pages: 214
Language: Hindi
Classification: Book_Devnagari
File Size: 11 MB

Page 42

INTRODUCTION
XL!
Anuyogadvārasūtra (sūtras 100, 132 and 133) gives us names of 3 units of measurement viz., (1) sūcyangula (needlelike finger), pratarāngula (plane finger), and (3) ghanā. ngula (solid finger). These mean the units of linear, superficial and solid measures respectively. For, it is stated there that sūcyangula is linear and one dimensional, the product of sucyangula by itself gives pratarāngula, and this when multiplied by sūcyangula gives rise to ghanāngula.
In Süryaprajñapti (sūtras 11, 25 and 100) we come across the names of the following terms:
(1) Samacaturasra, (2) vis'amacaturasra, (3) samacatusa. koņa, (4) vis'amacatuskoņa, (5) samacakravāla, (6) vis'amaca. kravāla, (7) cakrārdhacakravāla and (8) cakrākāra. Weber has explained them in Indische Studien (vol. X, p. 274) as even square, oblique squre, even parallelogram, oblique parallelo. gram, circle, ellipse, semi-ellipse and segment of a sphere.
In the bhāsya on Tattvārthādhigamasutra (III, II) we find the terms (1) vrttapariksepa", (2) jyā, (3) isu, (4) viska. mbha, (5) dhanuskāstha' and (6) bāhuo, and in the bhyāsya on IV. 14 we find viskambhārdhaf. These names respectively stand for a circumference, a chord, an arrow, a diameter, an arc of a circle less than a semi-circle and a semi-diameter or a radius.
MENSURATION FORMULA The bhäsya (p. 258) on Tattvārthādhigamasūtra (III, 11) furnishes us with the following 6 formulæ:
(1) C = V10d26 (2) A = Cd
I see p. 258. 2 Soe pp. 256-258. 3 See p. 268. 4 See p. 288.
5 In Anuyogadvärasutra (sūtra 146, p. 235) the circumferece of a palya of 1 lac yojanas in diameter is given as under:
"से जहानामए पल्ले सिआ एग जोयणसयसहस्सं आयामविकखंभेणं तिणि जोयणसयसहस्साई सोलस सहस्साइं दोण्णि अ सत्तावीसे जोयणसए तिण्णि अ कोसे अट्ठावीसं च धणुसयं तेरस य अंगुलाई अद्धं अंगुलं च किंचि विसेसाहि परिक्खेवेणं पण्णत्ते"
In the commentary (p. 236 ) on this work by Maladbārin Hemacandra, the following verse in Prākrit has been quotod: