पृष्ठम्:लघुभास्करीयम्.djvu/९०

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-- vs. 2(ii)-3(i)] - -- ------


- This rule tells us how to 6nd the Rsine (*'radius x sime") of the big or bot (or of any given arc or angle) with the help of the following table of Rsine-differences given by ryabhata I:

225


--

224 222 219 - --- -- ---


215 210 10


- -

11] 12 RsINEs or


- - = = - -- 205 199 183


174 164 Suppose that bjळ =24. will be obtained as follows: --- --- - Bhuja AND 13 15


16


17 | - = | ------------ = 154 = 143 131 - 119 -- 106 ४ort 93 || 19 - --- -- -- ------- --- --- - 20 | 22 21 -


---,

23 24 -- = --- = = 79 51] 37

17 22




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Then, according to the above rule, Rsine 24* Converting the blugja into minutes (of arc), we get 140. Dividing this by 225, we get 6 as the guotient and 90' as the remainder. So taking the sum of the first six Rsine-differences, we get 225'+224'+-222'+219'+215'+210'=1315. Now multiplying the remainder, i.e., 90', by the next (i.e., 7th) Rsine difference (i.e., 205) and dividing by 225, we get 90 * x205 225 Adding this to the previous sum of six Rsine-differences, we get 1315+ 82'=1597'. This is the reguired value of Rsin 24 ".