Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
_M._ Well, then [*120a] wyll I adde forth of hundredes: I fynde 3 in the
fyrste summe, and 6 in the seconde, whiche make 900, them do I take vp
{and} set in the thyrd roume where is one hundred all redy, to whiche I
put 900, and it wyll be 1000, therfore I set one cou{n}ter in the fourth
lyne for them all, as you se here.
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o | |
-X--o-o-o--|--o-o--|--o-----
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Then adde I y^e thousandes together, whiche in the fyrst su{m}me are
8000, {and} in y^e second 2000, that maketh 10000: them do I take vp
fro{m} those two places, and for them I set one counter in the fyfte
lyne, and then appereth as you se, to be 11001, for so many doth amount
of the addition of 8342 to 2659.
----o-----
-X--o-----
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----o-----
[*120b] _S._ Syr, this I do perceave: but how shall I set one su{m}me to
an other, not chaungynge them to a thyrde place?
_M._ Marke well how I do it: I wyll adde together 65436, and 3245,
whiche fyrste I set downe thus.
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| o
-X--o-o-o----|--------------
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----o-o------|--o-o-o-o-----
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----o-o-o-o--|--o-o-o-------
o | o
-------------|--o-----------
Then do I begynne with the smalest, which in the fyrst summe is 5, that
do I take vp, and wold put to the other 5 in the seconde summe, sauynge
that two counters can not be set in a voyd place of 5, but for them
bothe I must set 1 in the seconde lyne, which is the place of 10,
therfore I take vp the 5 of the fyrst su{m}me, {and} the 5 of the
seco{n}de, and for them I set 1 in the seco{n}d lyne, [*121a] as you se
here.
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| o
-------------|--o-----------
| o
-X--o-o-o----|--------------
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----o-o------|--o-o-o-o-----
|
----o-o-o-o--|--o-o-o-o-----
|
-------------|--o-----------
Then do I lyke wayes take vp the 4 counters of the fyrste su{m}me {and}
seconde lyne (which make 40) and adde them to the 4 counters of the same
lyne, in the second su{m}me, and it maketh 80, But as I sayde I maye not
conueniently set aboue 4 cou{n}ters in one lyne, therfore to those 4
that I toke vp in the fyrst su{m}me, I take one also of the seconde
su{m}me, and then haue I taken vp 50, for whiche 5 counters I sette
downe one in the space ouer y^e second lyne, as here doth appere.
-----------|--------------
| o
-----------|--o-----------
| o
-X--o-o-o--|--------------
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----o-o----|--o-o-o-o-----
| o
-----------|--o-o-o-------
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-----------|--o-----------
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