_M._ To stande longer about this, it is but folye: excepte that this you maye also vnderstande, that many do begynne to subtracte with counters, not at the hyghest su{m}me, as I haue taught you, but at the nethermoste, as they do vse to adde: and when the summe to be abatyd, in any lyne appeareth greater then the other, then do they borowe one of the next hygher roume, as for example: yf they shuld abate 1846 from 2378, they set y^e summes thus. --------------+------------ | -||--o--------+--o-o------- o | -----o-o-o----+--o-o-o----- | o -----o-o-o-o--+--o-o------- o | o -----o--------+--o-o-o----- [*120b] And fyrste they take 6 whiche is in the lower lyne, and his space from 8 in the same roumes, in y^e second su{m}me, and yet there remayneth 2 counters in the lowest lyne. Then in the second lyne must 4 be subtracte from 7, and so remayneth there 3. Then 8 in the thyrde lyne and his space, from 3 of the second summe can not be, therfore do they bate it from a hygher roume, that is, from 1000, and bycause that 1000 is to moch by 200, therfore must I sette downe 200 in the thyrde lyne, after I haue taken vp 1000 from the fourth lyne: then is there yet 1000 in the fourth lyne of the fyrst summe, whiche yf I withdrawe from the seconde summe, then doth all y^e figures stande in this order. -----+------------ | -||--+------------ | o -----+------------ | -----+--o-o-o----- | -----+--o-o------- So that (as you se) it differeth not greatly whether you begynne subtractio{n} at the hygher lynes, or at [*121a] the lower. How be it, as some menne lyke the one waye beste, so some lyke the other: therfore you now knowyng bothe, may vse whiche you lyst. [Headnote: Multiplication by Counters.] [Sidenote: Multiplication.]