Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 461

OILAPTER VIII.-CALCULATIONS REGARDING EXCAVATIONS. 259
Examples in illustration thereof. 5. In relation to (an equilateral) quadrilateral area (represent. ing the section of a regular excavation), the sides and the depth are 8 hastas (each in measure). In respect of this regular excavation, what may be the value of the cubical contents here?
6. In relation to an (equilateral) triangular area (representing the section of a regular excavation), the sides are 32 hastas ench, and in the depth there are found 36 hastar and 6 angulas. What is the calculation (of the contents) here?
7. In relation to a (regular) circular arca reprosenting (the section of) a regular excavation, the diameter is 108 hastas, and the depth (of the excavation) is 165 hastas. (Now), give out what the cubioal contents are.
8. In relation to a longish quadrilateral area (forming the section of a regular ozonvation, the breadth is 25 hastas, the side (measuring the length) is 60 hastas and the depth (of the exoavation) is 108 hastas. Quickly give out (the cubical contents of this regular excavation).
The rule for arriving at the accurato valuo of the oubical contents in the calculation relating to excavations, after knowing the result designatod karmantika as woll as the rosult dosignated aundra and with the aid of these results :
9-11. The values of the base and the other sides of the figure representing the top sectional aroa are added rospectively to the values of the base and the corresponding sides of the figure representing the bottom sectional area. The (Beveral) sums (80 arrived at) are divided by the number of the sectional areas taken into consideration (in the problem). The (rosulting) quantitios are
9-117. The figures dealt with in this rule aro tranoated pyramide with rectangular or triangular bases, or troncated cones all of which have to bo oodopived w turned upside down. The rule deals with three different kinds of meware of the obical contents of exostations. Of these, two, vis.. the Karmantika and Andra measures give only the approximate values of the contenta. lhe acourte measure is chloulated with the help of those valore. It K representa the Karmantika-phuls and A representa the Aundraphala then the socurate measure is mid to be equal to + K, ..., * + + 4.