CHAPTER III-FRACTIONS. 69 Blagamutr Fractions. The rule for (the simplification of) that class of fractions which contains all the foregoing varieties of fractions — 138. In the case of the Bhayamatr class of fiactions (or that class of fractions which contains all the foregoing varieties), the respective rules pertaining to the (different) varicties beginning with simple fractions (hold good). It, t.e., Bhagamatr, is of twenty-six kinds One is (taken to be) the denominator (in the case) of a quantity which has no denominator Examples in illustration thereof. 139 and 140. (Given) ;; oft; of ; ; ; ; ; associated with of itself; then associated with of itself; 1 diminished by ; 1 diminished by To; diminished by of itself; and diminished by of itself: after adding these according to the rules which are strung together in the manner of a garland of blue lotuses made up of fractions, give out, O friend, (what the result is). Thus ends the Bhagamatr variety of fractions. Thus ends the second subject of treatment known as Fractions in Sarasangraha which is a work on arithmetic by Mahāvīrācārya. 138. The twenty-six varieties here mentioned are Bhaga, Pabliaga, Bhaga- bhaga, Bhaganubandha, and Bhagapavālia, in combinations of two, three, four or five of these at a time; such as, the variety in which Bhaga and Prabhaga arc mixed, or Blidga and Bhagabhaga are mixed, and so on. The number of varieties obtained by mixing two of them at a time is 10, by mixing three of them at a time is 10, and by mixing four of them at a time is 5, and by nuxing all of them at a time is 1, so there are 26 valieties. The example given in stanza 139 belongs to this last-mentioned variety of Bhagamatr in which all the five simple varieties are found. 139. The word utpalamähkä, which occurs in this stanza, means a garland of blue lotuses, at the same time that it happens to be the name of the metre in which the stanza is composed.
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