[Headnote: Addition on the Counting Board.] [Sidenote: Addition.] _S._ Then I perceave numeration, but I praye you, howe shall I do in this arte to adde two summes or more together? _M._ The easyest way in this arte is, to adde but 2 su{m}mes at ones together: how be it you may adde more, as I wyll tell you anone. Therfore when you wyll adde two su{m}mes, you shall fyrst set downe one of them, it forseth not whiche, {and} then by it drawe a lyne crosse the other lynes. And afterward set downe the other su{m}me, so that that lyne may be betwene them, as yf you wolde adde 2659 to 8342, you must set your su{m}mes as you se -------------|----------- o | -X--o-o-o----|--o-o------ | o ----o-o-o----|--o-------- | o ----o-o-o-o--|----------- | o ----o-o------|--o-o-o-o-- here. And then yf you lyst, you [*119a] may adde the one to the other in the same place, or els you may adde them both together in a newe place: which waye, bycause it is moste playnest, I wyll showe you fyrst. Therfore wyl I begynne at the vnites, whiche in the fyrst su{m}me is but 2, {and} in y^e second su{m}me 9, that maketh 11, those do I take vp, and for them I set 11 in the new roume, thus, -------------|-------|------- o | | -X--o-o-o----|--o-o--|------- | o | ----o-o-o----|--o----|------- | o | ----o-o-o-o--|-------|-o----- | | -------------|-------|-o----- Then do I take vp all y^e articles vnder a hundred, which in the fyrst su{m}me are 40, and in the second summe 50, that maketh 90: or you may saye better, that in the fyrste summe there are 4 articles of 10, and in the seconde summe 5, which make 9, but then take hede that you sette them in theyr [*119b] ryght lynes as you se here. -----------|----------|------------- o | | -X--o-o-o--|--o-o-----|------------- | o | ----o-o-o--|--o-------|------------- | | o -----------|----------|--o-o-o-o-o-- | | -----------|----------|--o---------- Where I haue taken awaye 40 fro{m} the fyrste su{m}me, and 50 from y^e second, and in theyr stede I haue set 90 in the thyrde, whiche I haue set playnely y^t you myght well perceaue it: how be it seynge that 90 with the 10 that was in y^e thyrd roume all redy, doth make 100, I myghte better for those 6 cou{n}ters set 1 in the thyrde lyne, thus: ---------- -X-------- ----o----- ---------- ----o----- For it is all one summe as you may se, but it is beste, neuer to set 5 cou{n}ters in any line, for that may be done with 1 cou{n}ter in a hygher place. _S._ I iudge that good reaso{n}, for many are vnnedefull, where one wyll serue.