पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२९१

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CHAPTER VI-MIXED PROBLEMS. CHAPTER VI. 93 MIXED PROBLEMS The Fifth Subject of Treatment. 1. For attaining the supreme good, we worshipfully salute the holy Jinas, who are in possession of the fourfold infinite attributes, who are the makers of tirthas, who have attained self-conquest, are pure, are honoured in all the three worlds and are also excellent preceptors-the Jinas who have gone over to the (other) shore of the ocean of the Jaina doctrines, and are the guides and teachers of (all) born beings, and who, being the abode of all good qualities, are good in themselves and do good to others. Hereafter we shall expound the fifth subject of treatment known as mixed problems. It is as follows:- Statement of the meaning of the technical terms sankramana and visama-sankramana :- 2. Those who have gone to the end of the ocean of calculation say that the halving of the sum and of the difference (of any two quantities) is (known as) sankramana, and that the sankramana of two quantities which are (respectively) the divisor and the quotient is that which is visama (t.e., visama-sankramana). Examples in illustration thereof. 3. What is the sankramana where the number 12 (is associated) with 2; and what is the divisional visama-sankramana of that (same) number (12 in relation to 2)? 1 Tirtha is interpreted to mean a ford intended to cross the river of mundane existence which is subject to karma and icincarnation The Jinas are conceived to be capable of enabling the souls of men to get out of the stream of samsāra on the recurring cycle of embodied existence. The Jinas are therefore called tirthankaras 2. Algebraically the sankramana of any two quantities and b is firding b+% bsa a out a+b and arb their visama-sankramana is arriving at and