Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
Which su{m}mes yf you do adde together into one su{m}me, you shal
p{er}ceaue that it wyll be y^e same y^t appeareth of y^e other worki{n}g
before, so that [*123b] bothe sortes are to one entent, but as the other
is much shorter, so this is playner to reason, for suche as haue had
small exercyse in this arte. Not withstandynge you maye adde them in
your mynde before you sette them downe, as in this exa{m}ple, you myghte
haue sayde 5 tymes 300 is 1500, {and} 5 tymes 60 is 300, also 5 tymes 5
is 25, whiche all put together do make 1825, which you maye at one tyme
set downe yf you lyste. But nowe to go forth, I must remoue the hand to
the nexte counters, whiche are in the second lyne, and there must I take
vp those 4 counters, settynge downe for them my multiplyer 4 tymes,
whiche thynge other I maye do at 4 tymes seuerally, or elles I may
gather that hole summe in my mynde fyrste, and then set it downe: as to
saye 4 tymes 300 is 1200: 4 tymes 60 are 240: and 4 tymes 5 make 20: y^t
is in all 1460, y^t shall I set downe also: as here you se.
o
-----------+-------+-----------+--------------
| | |
-----------+-------+--o-o-o-o--+--o-----------
| | o |
-X---------+-------+--o-o------+--o-o-o-o-----
| | o | o
----o-o-o--+-------+-----------+--o-----------
o | | |
[->] ----o------+-------+-----------+--------------
o | | |
-----------+--o-o--+-----------+--------------
[*124a] whiche yf I ioyne in one summe with the formar nombers, it wyll
appeare thus.
o
---------+-------+----------
| | o
---------+-------+--o-------
| |
---------+-------+--o-o-----
| |
--o-o-o--+-------+-o--------
o | |
[->] --o------+-------+----------
o | |
---------+--o-o--+----------
Then to ende this multiplycation, I remoue the fynger to the lowest
lyne, where are onely 2, them do I take vp, and in theyr stede do I set
downe twyse 365, that is 730, for which I set [*124b] one in the space
aboue the thyrd lyne for 500, and 2 more in the thyrd lyne with that one
that is there all redye, and the reste in theyr order, {and} so haue I
ended the hole summe thus.
o
---------+-----+------------
| | o
---------+-----+--o---------
| |
---------+-----+--o-o-------
| | o
--o-o-o--+-----+--o-o-o-----
o | |
--o------+-----+--o-o-o-----
o | |
---------+-----+------------
Public-domain text, read in full here on John Shaqi.
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