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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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Thus, 7 a
defectire, (eliere beine really ho Vnices in ic)
it must ork on the Mupcana by Substracti.
on; cheretore, in this Cale, ie Mulciplicana
Nesatires; ilicretore the Detect ot he Multi
Product = df
abdc nnopgr
II. RV L F
TF uo Simple Ouantiries, wotiether like Or
untike, are ro be mulciplied, havine Numbers
Ox Coeficienes prefix d Belore them; srst mul-
tiply che CoefficienEs one into another, and 1O
ehe Product anneX EHC LCEFerS OF BOrh Ouanri-
Negarire (bY che lalt) chuS,
I6 mulciplied by - 2 gires = 12 inche Produet.
ries; Lochisnem Ouantirr is che Product (oughc. duce Positives: For since Multiplication by a
Thus 3 a mulciplied bY 4 b produces 12 ab.
HI. RVL F.
The multiplication oE Compound Onantiries are scemine Onites in thie Multiplicator; Whict
depends on the precedins Rules: For every must necds produce Policire, thus:
Member oF the One mult be mulriplied into
everr Member oF the Ocher; respect being had
0 che siens; by che Caurion siven in ile Ge.
neral.
Thus,
-- b - 1-
a8 184 80- ba 1Bc-6155a- 5
IV. RVL F.
Somerimes, wihen Compound Onantities ate under Tens; c. ad vou lec here,
to be mulriplied onc br another, it is commodi- and draiv à Line under chem. Then 365
Ous co omit the Operarion, and t0 ser only the (aY, 4 cimes 5 15 20; I set down 0,
WVord (into) Or (X) becween chem; having and carry tvo Pens ro the next Rank;
24
srst drawn a Linc orer each Compound Ouan- (theretore 4 times 6 is 24, and 2 l Car = 1460
riri, rO Me thac erery Member oF che One is ried is 26: L sec down 6; and Carey 2 730
co be mulciplied by erery Member ot ihe Orher.
Thus, Fo mulcipir ac a  3a a = 2 aa F 1
b7 a a = 5.
 6.
Wrice ana = 3aa = 22a - ]  L X Or into aa , a.) 
Thac in Asebraie Mulsiplication Litee Sien
gire. L, and Intike =, in the Product; mas
Dc thus demonstrated.
I. Since Mulciplication is che Came chins 2
adding onc Factor 10 ic selt, or repearins ic (0
Otr as chere are Vnires in che orher;
2. Theretore, -- mulripirins 1, must pre
duce -), since Posicires added rill produce 2
Positire Sum.
3. A Positive multiplyine a eatde Must pro-
duce a Necative: For ris only addins che NCga
tive Factor r0 it selF, ox repearins ic (0 otten 25
(ThaE i5 200) ro thie neze Rank. Itien
there are Dnices in the octier. Nor many De-
Fects added, must Aill beDefects, or musthare
2 Negatire Sion, thus:
=6 mulriplied bY F 2 produces =- 12
4. Necatives multiplyins Positives, must pro-
henpleto aellea a C AE
duce depalives. Foc iohen che Mulciplicaior is) heauie Piouteo et pe Mulciplicator, idc D
1i0r
must De substracted (or made nesarire) as Ot
ten as there are Nesarire Onires in the MuITI
plicator: Buc to tatee avar Positires, is to adc
plicand is 1o be added or repeaced as otren a5 the
Cale requires; and it lo, the Lloduet must bc
5. Negatives multipirinq Negatides, Must pro–
Regacire, is the same as Substraction, aHe tub-
Aracilns a Defect or Wesactre, che lame as ad-
dins Positires; theretore ris clear thie Delcet ot
ehie Mulciplicand must be luostracted (chacis the
POMtIr Multiplicand adcted) (0 otten as there
6 Into = 2 produces - ] 120
AVLTIPLICATION os Integers, in Common
Arichmerick, is performed thus:
Suppole 305, the Days in 2 + CaI, WeTC WDB
nulcipet 63 24, ee LNburs in a NPacutal Day
vrrire donn ele Multiplicator orderty under che
Multiplicand, Onites Deine under TIniress Pens
ICa) 4 TICS 3 15 12, dnd 2 I carried 8760
make 14, (2. c. 1400) WtICE 14, DC
caule Lharenour donc Wichiche First PI
SC 4, I set donn, as rou sec. Then Ibegin
Will 2, Che second Figure oF che Multiplicator,
Wilen Hands in che place ot Lens, and (as.
is under 2, the Figure char L multiplied by, F0r
chat Rule must alvars be oblerred) and Cal-
rsL. Then twice 6 15 12, and 1I carricd 18
and carry r, asbetore. Lattly, I Cay Corcl 5
is s; and +I carricd makes 7: WMICM Y I set
down, as vou sec. LHen adding che EVO PrO-
cor che erue Product.
N. B. Wthen there are Cyphers at the end of
either Factor, or after both, multiply the sis
nificant Figures one int andisset, ad l0 i
Risht Tand affix as mans ssers as vere in
both = V. SI.
466000
400c
evice 5 is FB; T Pet donn o under 6, (which
33 L set donon 3 on ille Lote Iland ot chelast,
ducto, chus Found, rogemer, rou vill have 8760
126400000c