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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0266
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miein co be placed betore o, rhe las Figure et che
Diridual. Lcheretore place 3 in the Quorient juA
atcerche crooked Line, and by char Fixcle, Wone
An Fxample os Compound Division in Axebra.
 1602 a22 412102214
-162
2d. Opcrarion; I mulciply che Dirilor 263, and
reire the Produet 789 orderty under ihe Diridu.
is the
al 940. Then
3Z 12
Jali. Llubltraet he Pcoduet 789 from ihe Di
ridual, and chere remains isi.
Athly. Fo wtrich I bring doion 4, che nexr Fi-
sure co che Riphe Hland oF che Dividual, and
wtrich, eo me thac I have done wich, I mark
by purrins a Point under ic; (0 L hare non 1514
For a nem Dividual. Ttien do l’enquire again by
DIVISION in Mhole Numbers is thus perForm d.) che Merhod eiven in etie sirst Arciele, nom otien
1. F0 divide by one Pixure is very eatie; 2.
(ean have 263 in r5r4 and comparins chose
Numbers rogether accordins rochat GeneralRule
suppose 6759 vere ro be divided amonest 3 Men, and which a licle Practice will mate very exsie
hou much is each Mans Stare. Sec the Numbers L Sind P ean have ic bur 5 times; Wheretore L puc
doinn as yon sec Bere, 3) 6759 (2253.
s’in che Ouorient, and by chac mulciply my Diri
TOr, and subleribe the Product 1315 orderly under
And then Cay, 3 is conrained in 6 (che srst Pieure he las Dividual. Then Llutstract ic also srom
covares ehe Lesr hand of ihe Dividend) evice, chence, and sind a Remainder oF 199; co which
erheretore L place 2 in che Quoriene; rhen L80 Remainder L bring doon the next Fipure 8 From
on to rhe nexr Figure, and Car, 3 is tound in 7
The Dividend (havine also poinred it chere)
eivice, and there is one over: I place 2 in the and chen Phave 1998 for a new Dividual; wich
Duoriene apain; and I imagine ehie onc chac was which, as betore, comparins. my Divilor 263. L
over ro stand betore che next Fixure 5, wrhich will snd char P can have it buc 7 times; Wheretore
make ir 15. Then Lenquire ho ofc P can hare placins y in che Quorient, by chat P mulcipiy che
ehe Dirisor 3 in 15. and sindins ic just s rimes, L) Divilor 263. and subscribe che Product orderso
places in che Ouorient. Then L 80 corhe laAFi. undes chc Dividual 1998, substractine ic allo
pure, and ast hon otten P can have 3 in 9, which from chence; and ro che Remainder, Wwhich is
snd ro De 3 times, l irire 3 in che Ouorient; 157. bringine donn 8, ehe last Figure ot che Di.
and so che Operarion is over, 2253 bcins rhe crue
vidend, Lhare 1578 for a nem Dividual; wich
Ouorient, Or che numbet ot Pounds chac each which, comparine as betore, the Divilor 263,1
Man must have.
find on eryal chac P can have ic just 6 cimes in il;
2. Wten vou arero divide a Number by a Di- 5o L Weire 6 in che Ouorient, by ThaE Fipure 6
visor chaL conLiItS OF 2, 3. or more places, che O. mulcipls che Divisor, subseribe thc ProduCF 1578
veration is more redious and disticule (it beins in-under the Dividual, and maktins Substraction,
ecd the hardest Leston in Arichmerick) bur ver sind no Remainder; Wwheretore L conclude ihe
ix mox vich a licele Practice be readily performi d Division is ended; and chat 3576 is the irue
chus: Suppole 940488 Crowns ivere ro be divi. Ouorient, or Number oF Cronns each Man is1O
ded amons a Stixs Company consistins ot 262) have for his Strare.
Men, Wohac is cact Mars Share.
263) 940488(3576
And ehis Example, it caretully hecded, will be
Custicient ro reach any one etie way ot dividinq by
1. Set donnche Nlumbers more rixures chan one; che several Operarions of
as vou sec; then sirst di-Wvtich Method are briesy summ d up in this L a-
Ainguim by a Poine a parr of) rin Verse;
the Dividend, erhich Mhall be
Greater chan, or acleastequa
cothe Divilor, irhichis called
etcl ad rlntbldet da eab  
divided. Phen leck lionei
Dic quot, mulsiplica, subdue, transferq; secundum.
Lnc only true Proot ot Division is by Multipli-
carion; tor che Produet ot che Ouoriene and Di-
cent sou Canhare 263 in 940; visor must alvays be cqua) ro the Dividend; chus
wtrich because ic is ulually
3576 mulciplicd by 263 prodaces 940488; be
che hardek caste r0 find cause wrhac is destroyed by Division is rettored by
exactly, obserre caretully Multiplication.
ehis Ruse: First CaY, I can
have 2, the ReA Figure oF
DIVISIOM Geometrical Dr Division in Lines, ie
the Diritor, 4 cimes in g, che called application, the delien ol wrhich, when ic
Rest ot the Dividuat, and chere ill temam 1, is exercised abour rhe Construction oF Plane Pro
itich Maxim lo ans detere 4 enc scconta ferenns i5 Oni) ThIs, 27Z. A Rectanple being piven,
Figure oF phe Dividual, which ill cheresore beas allo a Rixhe Line, co And anorter Riphe Line,
4: Burchen considerins 6, che second Figure oF (o char rhe Rectansle concained under ic, and the
. che 2 BC OF Che DivitOr, L cat L Cat Dabe (Onc Ade Ot che Rectansle:: 10 is rhe sches lide.
chat 3 eimes in 34, and more chan encush will cC: (20 che Line Couxhc.
9t
42Z 6
122
etic Divilor. LAHa L Cannor have, a5 Poughe, 6) Kighe Line Bivell, IIIaH DE equal co the Rectangle
tour cimres in r4; Wheretore lconclude lcannor hrlt siven; wtuch efsection o Construction, is cal-
hare 33 four rimes in 940: Lrry nexr elren whac led ele paon et a sien Acclanele 10 2
3 W ad, and I tind L can have 2 chrec cimes, Lelxhe Line siven; and che Rixhe Linc arilins by
ahe Cac chere will remain 3: wtuich 3 l imaxine luch applaurton. is Called ehe Parabola, Or Geo
1d ane eltore 4 che 2d Fixure oF che Dividual. methur Sactent, and may be found out by che
alte cae ic Willmake ic 34; ervinscheretore wich  ) Chrec, oy makie as che Line piven is 10