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

Page 458

CHAPTER VIII-CALCULATIONS REGARDING EXCAVATIONS. 261
aundra cubical measure, and of the accurate cubical measure here?
141. There is a well whose (sectional) area happens to be regularly circular. The (diameter of the) top (sectional area) is 20 dandas, and that of the bottom (sectional arca) is only 16 dandas. The depth is 12 dandas. What may be the karmāntika, the aundra, and the accurate cubical measures here?
151. In relation to an excavation whose sectional area happens to be) a longish quadrilateral figure (i.e., oblong), the length at the top is 60 (hastas), the breadth is 12 (hastas); at the bottom, these are (respectively) half of what they measure at the top). The depth is 8 (hastas). What is the cu bical measure here?
161. (Here is another well of the same kind), the lengths of whose sectional areas) at the top, at the middle, and at the bottom are (respectively) 90, 80, and 70 (hastas), and the breadths are (respectively) 32, 16, and 10 hastas. This is 7 (hastas) in depth. (Find out the required cubical measure.)
171. In relation to an excavation whose sectional area happens to be) a regular circle, the diameter at the mouth is 60 (hastas), in the middle 30 (hastas), and at the bottom 15 (hastas). The depth is 16 hastas. What is the calculated result giving its cubical measure ?
181. In relation to (an excavation whose sectional area happens to be) a triangle, each of the three sides measures 80 hastas at the top, 60 hastas in the middle, and 50 hastas at the bottom. The depth is 9 hastas. What is the calculated result giving its cubical contents ?
The rule for arriving at the value of the cu bical contents of a ditch, as also for arriving at the value of the cubical contents of an excavation having in the middle (of it) a tapering projection (of solid earth) :
197–203. The breadth (of the central mass) increased by the top-breadth of the surrounding ditch, and (then) multiplied by
191-205. These stanzas deal with the measurement of the cubic contents of & ditch dug round a central mass of earth of any shape. The central mass may be in section a square, a reotangle, an equilateral triangle, or a circle ;