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 463

CHAPTER VOI-CALOULATIONS REGARDING EXCAVATIONS. .261 aundra cubical measure, and of the acourate oubical measure here?
141. There is a well whoso (scctional) area happons to bo regularly circular. The (diameter of the) top (sectional arou) is 20 dandas, and that of the bottom (sectional area) is ouly 16 dandas. The depth is 12 dandas. What may be the karmantika, the coundra, and the acourate cubical measures here?
154. In relation to (an excavation whose sectional arca happens to be) a longish quadrilateral figure (i.e., oblong), the length at the top is 60 (hastas), the brendth is 12 (hastax); at the buttom, these are (respectively) half (of what they measuro at the top). The depth is 8 (hastas). What is the cabical measure here?
164. (Here is another well of the samo kind), the longthe (of whose sectional areas) at the top, at the middle, and at the bottom are (respectively) 90, 80, and 70 (hastus), and the breadths are (respectively) 32, 16, and 10 hastas. This is 7 (hastus) in depth. (Find out the required cubical measuro.)
174. 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 oubical measure ?
187. In relation to (an excavation whoso sectional Arca happens to bo) a triangle, each of the three sides measures 80 hastas at the top, 60 hastas in the middle, and 50 hastas at tho bottom. The depth is 9 hastas. What is the calculated result giving its cubical contents ?
The rule for arriving at the value of the cubical contents of a ditch, as also for arriving at the value of the cubical contents of an excavation having in the middlo (of it) a tapering projection (of solid earth) :
191201. The breadth (of the central mass) increased by the top-breadth of the surroupding ditch, and (then) multiplied by
197-20. Those stanga deal with the messurement of the cabio oontents of . ditoh dug round contral mass of earth of any shape. The coptoel mens may be in section square, a rootangle, an aquilateral trianglo, or oirolo