一切經音義 22.351

22.351

一百洛叉為一俱胝（洛叉此云萬也。俱胝此云億也。又案此方黃帝筭法總有二十三數。謂一二三四五六七八九十百千萬億兆京垓稀瀼溝㵎正載。從萬已去有三等數法。其下者十十變之。中者百百變之。上者倍變之。今此阿僧祇品中上數法故云一百洛叉為一俱胝。當此億也。阿庾多兆也。那由他京也。餘皆依次準配可知。今案此經十百千萬。十十變之。從萬至億百倍變之。從億已去皆以能數量為一數復數至與能數量等）。

"One hundred lakṣas make one koṭi" (lakṣa [洛叉] means here myriad [10,000]; koṭi [俱胝] means here ten million / yi [億]. Furthermore, according to the calculation method of the Yellow Emperor in this land, there are twenty-three numerical ranks in all: namely, one, two, three, four, five, six, seven, eight, nine, ten, hundred, thousand, wan [10,000], yi [100,000], zhao, jing, gai, bu, rang, gou, jian, zheng, and zai. From wan onward there are three classes of numbering methods: the lower system multiplies by tens, the middle system multiplies by hundreds, and the upper system squares the previous number. Now, in this "Chapter on the Asamkhyeyas", the upper counting method is used, so it says that one hundred lakṣas make one koṭi, which corresponds to yi here. Ayuta is zhao; nayuta is jing; the rest can be known by matching them in sequence. Examining this sūtra now: tens, hundreds, thousands, and ten thousands change by tens; from wan to yi it changes by a hundredfold; from yi onward, each takes the previous counting quantity as a unit and counts up until it equals that counting quantity again).