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CHAPTER IV-MISCELLANEOUS PROBLEMS (ON PRACTIONS). 71
Dvirayrašėramila and Arukamüla, and then Bhagabhyasa, then Ankararga, Mūlamiira and Bhinnad, sya.
Thứ rule relating to the Bhöga and the Seru varieties theroin, (.e., in miscellaneous problemas on fractions).
4. In the operation relating to the Bliga variety, the required) rosult is obtained by dividing the given quantity log one as diminished by the knowl) fractions. In the operation reluting to the st varioty, (the required result) is the given quantity divided by the product of (the quantities obtained rrspectively by) sub). tracting the (known) fractions from one.
Examples in the Bhiga variety 5. Of a pillar, part was seen by me to be (lauriel) under the ground, in water, in moys, and 7 hastas thereof was free) in the air. What is the length of the) pillar?
In the B rithya or
B
r arit varity, the numerical value in given of the portion remaining after removing from the while the produtor products of certain fractional part of the whole fathen tulny w
The murary variety Coint of problems wherein the meal value in Kivin of the remainder after removing from the whithe r of fractional part berof, thin fractional punt being at the same time
t o read by a given number
The Mülawira variety consists of problems wherein in viven the munericul value of the kunt of the quarrant of the whole when to the wore root of the wholu un increase or diminished by a given h er of thing.
in the B ade variety: Oructional pent of the whole in multiplied by another fractional post o in cm from it, the remaining portion in
Xpred as a fraction of the whole. He it will l. men that unlike in the other varieties the numeri uc of the lont remaining portion is not actually gisen, but in expr
...ction of the whole
4. Algebraically, the rule relating to the Bhaye variety in Sai, whez is the unknown collective quantity to hu found out, in the
d r ama, und bis the bhd ja or the fractional part or the sum of the fractional part kiven.
It is obvir , that this is virivable from the cquutions-los. The rulotting to the Briv variety, w. lgebraically p rocl, com to (1-b
where , lz, I., &c., arr fructionul parts of the -0) 1 - 1)*&. mucoensivi enunindra. This formula also is derivable from the contion
3-148-13 (3 - 0,7) –{ 2=bs-bs (e1921} &..=a.
| SR No. | 011112 |
| Book Title | Ganitasara Sangraha of Mahavira |
| Original Sutra Author | N/A |
| Author | Rangacharya |
| Publisher | Rangacharya |
| Publication Year | 1912 |
| Total Pages | 531 |
| Language | English |
| Classification | Book_English |
| File Size | 24 MB |