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224
THE SACRED BOOKS OF THE JAINAS.
halvings of the desired number (Ichchita-rashi) by the number of halvings of the given number (Deya-Ráshi) is equal to the desired number (Ichchita ráshi).
Commentary. Suppose the desired number is 256 and given number is 16. Then halvings of 256 are 8 and those of 16 are 4. 8 divided by 4 = 2.. । And 16x16= 256 the desired number. दिण्णच्छेदेणव हदलोगच्छेदेण पदधणे भजिदे। लद्धमिदलोगगुणणं परमावहिचरिमगुणगारो ॥ ४२१॥ देगच्छेदेनावहितलोकच्छेदेन पदधने भजिते । लब्धमितलोकगुणनं परमावधिचरमगुणकारः ॥ ४२१ ॥
421. Divide the number of halvings of the (spatial units of the) universe by the number of halvings of (an innumerable part of an Ávalí) Deya. By the quotient divide the sum of the series (1, 2, 3, 4, 5 etc., upto the term represented by the desired division) Multiply the (spatial units of the) universe, by themselves as many times as the number of this last quotient (We then) get the multiplier for any division of high Visual knowledge. (The same process will apply in respect of every division) till the last one.
Commentary. Let the spatial units of universe be 256, and the innumerable part of an ávalí be 16. We have to find out the multiplier of its third division. The halvings of 256 are 8; and those of 16 are 4. Now 8:4 2 . The sum of series 1+2+3-6. And 6:-2-3. Therefore 2563 is the number by which the extent and time of maximum partial visual knowledge will be multiplied to gain the extent and time of third division of high visual knowledge.
आवलिअसंखभागा जहरणदव्वस्स होंति पज्जाया। कालस्स जहण्णादो असंखगुणहीणमेत्ता हु ॥ ४२२॥ प्रावल्यसंख्यभागा जघन्यद्रव्यस्य भवन्ति पर्यायाः । कालस्य जघन्यतः असंख्यगुणहीनमात्रा हि ॥ ४२२॥
422. The modification (Paryáyal of the minimum matter (of the first division of partial visual knowledge
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