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 27

XXVI
INTRODUCTION
(4) Krti=1, 4, 9, 16 etc., up to the last square number.
(5) Akrti=2, 3, 5, 6, 7 etc. This series is got by subtracting Krti from Sarva.
(6) Ghana=ı, 8, 27, 64, etc. up to the last cubic number say V before U.
(7) Aghana=2 to 7, 9 to 26, 28 to 63 etc. This series is obtained by subtracting Ghana from Sarva.
(8) Kytimātykā (or vargamātņkā)=1, 2, 3, etc., No. of terms being Vu. This means a series having the sq. roots of Krti terms.
(9) Akrtimātņkā=(VU+I), (VU+2), (VU+3) up to U; the No. of terms being U-VU. This series deals with terms of which the sq. root is irrational.
(10) Ghanamätykā=1, 2, up to the cube root of the last cubic number. This series is concerned with those numbers in Sarva of which cube root is rational.
(11) Aghanamātņkā. This series consists of terms in Sarva of which the cube root is irrational.
(12) Dvirūpa-varga=2*, (2o), its square, its square and so on. The 4th, 5th and the 6th terms of this series are called qourse, aicis and gars and stand for 216 or 65536, 232 or (65536) or 4294967296 and 264 or (4294967296) or 18446744073709551616. This is due to the fact that पण्णट्ठि, बादाल and एकट्ट are abbreviations of Qougtiqamonte, atera 7 3050 3001fa fare rritenere and a quotation given in Madhavacandra's vịtti (p. 28) on the 66th gāthā of Trilokasāra.
(13) Dvirūpa-ghana=2*, its square, its square etc. i. e. to say a series' having for its first term 28 and for its successive terms the squares of the immediately preceeding.
(14) Dvirūpa-ghanāghana. This is a series of which the first term is the cube of 28 and each succeeding term is the square of its predecessor.
The above treatment of series may be at least taken to be a rough indicator of the knowlegge of indices possessed by the Jainas in ancient times. 1 This runs as under:
"एक्ट च चउ छस्स सयं च च य सुण्णसन्ततियसत्ता।
सुणं णव पण पंच य एवं छक्केक्कगो य छक्कं च ।।" 2-3 These are respoctively styled as Ghana Ghana and Ghana Ghanain haang "The Jaina Glem Dictionary" on p. 149.