Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
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| | o
-||--o-o------+--o-o-o-o--+--o-o-----
| o |
-----o--------+--o-o-o-o--+--o-------
o | o | o
-----o-o-o----+--o-o-o----+--o-o-----
o | o | o
-----o-o-o-o--+--o-o-o----+--o-o-----
[*119a] Nowe to trye whether that su{m}me be well added or no, I wyll
subtract one of the fyrst two su{m}mes from the thyrd, and yf I haue
well done y^e remayner wyll be lyke that other su{m}me. As for example:
I wyll subtracte the fyrste summe from the thyrde, whiche I set thus in
theyr order.
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| o
-||--o-o------+--o-o-----
|
-----o--------+--o-------
o | o
-----o-o-o----+--o-o-----
o | o
-----o-o-o-o--+--o-o-----
Then do I subtract 2000 of the fyrste summe fro{m} y^e second su{m}me,
and then remayneth there 5000 thus.
-------------+----------
| o
-X-----------+-----------
|
----o--------+--o-------
o | o
----o-o-o----+--o-o-----
o | o
----o-o-o-o--+--o-o-----
Then in the thyrd lyne, I subtract y^e 100 of the fyrste summe, fro{m}
the second su{m}me, where is onely 100 also, and then in y^e thyrde lyne
resteth nothyng. Then in the second lyne with his space ouer hym,
I fynde 80, which I shuld subtract [*119b] from the other su{m}me, then
seyng there are but only 70 I must take it out of some hygher summe,
which is here only 5000, therfore I take vp 5000, and seyng that it is
to moch by 4920, I sette downe so many in the seconde roume, whiche with
the 70 beynge there all redy do make 4990, & then the summes doth stande
thus.
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| o
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| o
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o | o
-----o-o-o-o--+--o-o---------
Yet remayneth there in the fyrst su{m}me 9, to be bated from the second
summe, where in that place of vnities dothe appere only 7, then I muste
bate a hygher su{m}me, that is to saye 10, but seynge that 10 is more
then 9 (which I shulde abate) by 1, therfore shall I take vp one counter
from the seconde lyne, {and} set downe the same in the fyrst [*120a] or
lowest lyne, as you se here.
-----+--------------
|
-||--+--o-o-o-o-----
| o
-----+--o-o-o-o-----
| o
-----+--o-o-o-------
| o
-----+--o-o-o-------
And so haue I ended this worke, {and} the su{m}me appereth to be y^e
same, whiche was y^e seconde summe of my addition, and therfore I
perceaue, I haue wel done.
Public-domain text, read in full here on John Shaqi.
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