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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 806933011:0341
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sul
qual Ouancicies ill hare equal Fluxions; ehiere-
Core x = 72  21, amt i = 2y = iy; and
dividines all by y X = 23 = 2 = (vecaule 3
= 2) 3 
X Wwheretorechis las is che Fluxi
on oErhie Fraction  = 2: because Z beine
, i vil be cqual co he Blusion ol =
And ihe FluriOn OC = Will be =   ; sor, e
Permanene Ouantiey a havins no Fluxion, chere
ean be no Produet of itie Fluxion of che Nuera-
cor into che Denominator, as chere evould have
been, had a been x, Z. or any ortier Variable
Ouantiy.
Ao che Fluxion oF = puil BC 
Fluxion oE , will be x a F X x - x
A 4 )  2 a X =) X 3
aa. F 2 a X   25 becaute -  m and . 1
 a destroy one anottet: AISo che Fluxion
oE = or = = 1 13 (= :) Eere alto che RC.
verse ofche Rule serres io find che Florine Ouar
cies trom cheFluxion: AS iF che Flowins Quariricy
DE ehiis Fraction vere requited  7 = = 7: First
Mulcixis ic by iC Square oP che Denominacor, ape
ic will De x y = x y, trom which cake avay
Xy votrich Was placed altex it, and il will be a
omic che Poine and ris x y, Which because, is the
Denomintor OC a Frgetion, ill ac lat be. 3.
Besore the FluXIonS OF any Poiver, Whether Per
fect or Impersect, can be tound; che tollovine
ivas ot Nlocarion must be well inderstood
Nea Series ot Beomerrick Progtestionalo be in e
Oeder,
1. X. X ~ X X X. X1. x5, 20, x2. BCo
Their Indexes or Exponenes will ve, in Arie
Mecical Progression, and stand chus.
6. 1. 2. 3. 4. 5. 6. 2.
Lheh Their exporents will be lesarire,
Mlama crus.
anet  x  = F dc.
Orit rou exprels ilie Geomierrical Secies By ma:
ny oF he ExpOnens, it will stand tius x =
X
90. And il it ere expressed chus x. Then id
Will be x = 1, because x is etie Denominator ot
che Racio, in which ricy is noc affected. Thus
als0  = 4  and = = 2 -2: And 1 = x.
= i x = X X, _c.
AIIOThE FKPOHEHE OL V: x will Be iy becaute
25 V: x is 2 Mean Proporrional berncen 1. and x
50 : is an Arictimetical Mean becireen 0 and L.
And THC RxPOHENE OF V: x vill be Z: because
25 V: x is thetirst oF ihie rvo Mean Proportionals
betveen r. and x, 50 : is che sirst oF ehie tvo Arich
merical Means berween o. and 1.
FOrLNCC L X. X X. XX X. are continually Proporrio
nal, cheretore itleir Cubes or any ocher Roors will
be also continually Proporrional. Thac 15, V: L
= 1d. Y X Y X X. Y XxX(= ∞)
50 als0,
1. N X3. X X X. ∞4 N WHeretore Ce ROOE
OE hC Sch Poiver oE chole Ouanciries vill be:
Thac is,
va Y. VF. Y~. Vr. (= a)
AIB; FOr ihe tame FeatOn, the FxPOnenE of
V: x. will bc 4.
N. B. Alvays place che Index oF che L ettex (Or.
Poner) orer chac os che Radical BiBn.
Thus in Fractions: The FxponenE OF =, vitl
bC = 1, OF.
i 0
: x will bc = 3, O5, will be
Y: X7 Will be = 2, 13c.
Y. x
N. B. VE x and x, OE V: X and x : Or J: x2;
and x are only civo different vars oF Noration
For one and che lame chins, chie former in etie old,
che laccet in Mhe nem Way.
50 likewise and x =atc all one: And-
15 X=3, (90.
Lhe way ot readins or exprestine Ouanriries se
denored, is chus, X =3 is Onirys divided by etie
CubeoF x andit ic ivere x 3: ic must be read.
Oniry or Onen dividedt by ihe Cube RoDr et de
BuE I tBCS AC LLaCtIOnS ; a51
X
2-
Noro.
4. = 3. =6. =q. Cocil sou 3de Pomec ot v.