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A Nole on laina Niathematics and its Study in Jaipur
27
(10) Ghanamatrikadhara is the sel of all such numbers which
can be roots of integers 1,2,3,4, (11) Aglianamatrihadhara should be the set of all integers
wluch are not included in (10) above Here again the difficulty is solved as in (9) above by taking a cubic number N=(no), and considering only the set of numbers
n+1, 7+2,n+3, EN (12) Dvirupavargadhara is the set 4,16,256,65536,
or 22, 24, 28, 216, 221, (13) Duirupaghanadhara is the set 8, 64, 4096, or 23, 26, 212,
23'2 -1 (14) Dvirupaghanaghana dhara is the set 85, 86, 812,.
or 2,9 218, 236, 23 2n-1
It will be seen that except for (9) and (11) which are finite sets, all the others are infimte sels Mensurations:
Nemichandra also gave the formulas for the areas of triangles, rectangles, parallelograms, and circles, and volumes of prisms, cones or pyramids, spheres and isosceles trapezeum He assumed the gross value of P. (the ratio of circumference of the circle and its diameter) to be 3, and its neat value to be 10
II All the three books of Nemichanda were translated by Todarmal of Jaipur near about 1760 The language of Todar mal is almost modern Hindi though it has some touch of the dialect of Jaipur
Todar mal was born in a Digambar Jaina family of Jaipur He was the only son of Jogidas who seeing the precocious intelligence of his son engaged a teacher from Varanasi as his tutor The boy picked up the Sanskrit language quickly and went on to study the Sanskrit and Prakrit books on Jaina religion and philosophy Until recently it was thought that he was born in 1740 He died in
1767 This would mean that Todarmal died at the age of 27 The books translated by him were quite large Gommatsara had 38,000, Labdlusara had 13,000 and Tilokasara had 14,000 slokas or gathas To be able to write so much in a life of only 27 years would be a remarkable feat Some recent researches would, however, take his date of birth a few years earlier