Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

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GANITASĀRASANGRAHA.
CHAPTER VIII. CALCULATIONS REGARDING EXCAVATIONS. 1. I bow in religious devotion with my head bent downwards) to Jina Vardhamana, whose foot-stool is honoured by the crowns worn by all the chief gods, who is omniscient, ever-enduring, unthinkable, and infinite in form, and is (further) like the young (rising) sun in relation to the lotus-lakes representing the good and worthy people that are his devotees.
2. I shall now give out the three) varieties of karmāntika, aundraphala, and sūksmaphala (in relation to excavations), which varieties are all derived from those various kinds of geometrical figures, mentioned before, as results obtained by multiplying them by (quantities measuring).depth. This seventh subject of treatment is the subject of excavations.
A stanza regarding the conventional assumption (implied in this chapter) :
3. The quantity of earth required to fill an excavation measuring one cubio hasta is 3,200 palms. From that (same cubic volume of excavation) 3,600 palas (of earth) may be taken out.
The rule for arriving at the oubical contents of excavations :
4. Area multiplied by depth gives rise to the approximate measure of the cubical contents in a regular excavation. The sums of all the various) top dimensions with the corresponding bottom dimensions are halved; and then these halved quantities of the same denomination are all added, and their sum is) divided by the number of the said (halved quantities). Such is the process of arriving at the average equivalent value.
2. The term Aundra in Aundraphala is rather strange Sanskrit and in perhaps related to the Hindi word 311g neaning 'deep.'
3. The idea in this stanza evidently is that one cubic hasta of compressed earth weighs 3,600 palas, while 3,200 palas of earth are sufficient to fill loosely the & pace of 1 cubic hasta,
4. The latter half of this stanza evidently gives the process by which we may arrive at the dimensions of a regular excavation fairly equivalent to any given irregular excavation.