But nowe touchynge Multiplicatio{n}: you shall set your no{m}bers in two roumes, as you dyd in those two other kyndes, but so that the multiplier be set in the fyrste roume. Then shall you begyn with the hyghest no{m}bers of y^e seconde roume, and multiply them fyrst after this sort. Take that ouermost lyne in your fyrst workynge, as yf it were the lowest lyne, setting on it some mouable marke, as you lyste, and loke how many counters be in hym, take them vp, and for them set downe the hole multyplyer, so many tymes as you toke vp counters, reckenyng, I saye that lyne for the vnites: {and} when you haue so done with the hygheest no{m}ber then come to the nexte lyne beneth, {and} do euen so with it, and so with y^e next, tyll you haue done all. And yf there be any nomber in a space, then for it [*121b] shall you take y^e multiplyer 5 tymes, and then must you recken that lyne for the vnites whiche is nexte beneth that space: or els after a shorter way, you shall take only halfe the multyplyer, but then shall you take the lyne nexte aboue that space, for the lyne of vnites: but in suche workynge, yf chau{n}ce your multyplyer be an odde nomber, so that you can not take the halfe of it iustly, then muste you take the greater halfe, and set downe that, as if that it were the iuste halfe, and farther you shall set one cou{n}ter in the space beneth that line, which you recken for the lyne of vnities, or els only remoue forward the same that is to be multyplyed. _S._ Yf you set forth an example hereto I thynke I shal perceaue you. _M._ Take this exa{m}ple: I wold multiply 1542 by 365, therfore I set y^e nombers thus. ------------+-------------- | -||---------+--o----------- | o -----o-o-o--+-------------- o | -----o------+--o-o-o-o----- o | ------------+--o-o--------- [*122a] Then fyrste I begynne at the 1000 in y^e hyghest roume, as yf it were y^e fyrst place, & I take it vp, settynge downe for it so often (that is ones) the multyplyer, which is 365, thus, as you se here: -----------+-----------+------------ | | -----------+-----------+--o-o-o----- | | o -----------+-----------+--o--------- | | o -X---------+-----------+------------ [<-] | o | ----o-o-o--+-----------+------------ o | | ----o------+--o-o-o-o--+------------ o | | -----------+--o-o------+------------ where for the one counter taken vp from the fourth lyne, I haue sette downe other 6, whiche make y^e su{m}me of the multyplyer, reckenynge that fourth lyne, as yf it were the fyrste: whiche thyng I haue marked by the hand set at the begynnyng of y^e same, _S._ I perceaue this well: for in dede, this summe that you haue set downe is 365000, for so moche doth amount [*122b] of 1000, multiplyed by 365.