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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 806933011:0681
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Example.
de equal to ehie Abloluce Lusiber siven; and etro
liquarion wullbecbu a bimple onc
And these ero Ouancities added cogether, mute
10 36 = t
add64 =  d d
1. 100=10 =1 2 d.
buE = d = 8
heretore 2 = a.
In ihe Second FOrM.
Tec a a = d a = R.
Procced in all respects as in the FXI FO
vou must at last add = the Coesticient t0 the RC
Exrracted out ot che Ab(oture Number instead oE
cakins it from ic, as betore; because here a repre
Cens the greater ROOE; and rhuS, il a 4 - - 16 a
F36. a Wrilt be tound = 10 18.
Inche Third Form.
LetS 4 = a a = R:
Flere Becanse the hiohese Porver is Pepative, is
impossible any Puch Roor ean be Founa chat Wuill
and ed - = dd = 8c
e = R I +dc
VR. F : dd
l 8
I Wheresore a = VR +  dd. d. P. F. D.
And sirce a - L d = R -+ = d d: H exct
Parc ot che Equation be Squared, there will arise.
un nca a  ad Y : d d = _ Y  d d 1
tus lreut a
51C
Which is the orhex common Canon Por Solviné
produce =aa; Wheretore rou must imagine aH Cuadracicks, by addins ro each Part the Square ol
ihe Signs changed, and then ie will Rand THUS:
halt che Coeslicient, in order ro complear che
5a- a a = = R, or purcins che highest Square.
Pover tcA, a a - 5 a
1P. +1C
Li. 1 c.
51.1IF. C
Inthis Form, the Coessicient is the Sum oF the 10) 0c In the Second FOrm M
Evo ROOS, and a mar De cither of them.
Anahereche Absolure Dtumber is so decermined
as chat ic cannor be greater iMan che Square oF halt
iHe Coerticients: FOr,
IE the Absolure Humiber be, = r0 che E D oC
the Coessicient, ihe RoOtS arc equal.
y. The Practical Rule chen is chis: ugstu
Fromthe Square oE. half the Coefsiciene, take
ehie Absolure Number siren; and Exrract che
Square Roor oF the Remainder; Which RoOr ei
cher added co, or Subtracted From halt che Coeri-
cient, will sire accordinoly che srearer or lesser
Value oF a.
ThuS: IF20a = a a = - 36
ceet sI ONOFAS a aa= L R
Erom 100= =SS Ois ipC I
Fatte 36 = R OiOC lo Bopzol
iet ni
l3 17 3(1133 1Cd ON
:31 V: 64 == 8 1a3 sel 133519 05ts 10 131951C
nOV 1O =)= B = IB FC GFEATCF ROOFL ds 10 1
3and 10 = 8 = 2 the LoNer ROOr.  1110) à100,
1005 2 35
esite
i espC. IlSA.
a 11 e 2   l
13i aBd  Ca 2 d d uF a
Ldese added make c e   d d =F R. e 1
Theretore ee=
bocti
aud e
du e.
Lllccce
Nherelore
R. I = d d
In any oF the Three Forms, il the Coericiene
have a lesacire Sien, pur e. L = d; buc it ic hare
an Aftirmarire Sign, pur e-= d, instead oE a, the
ROOT oE che hishest untnoun Pover.
Then will ec F e d F = d d = a
 dd
=4 - 2 8.
.2-7 =4 8.  
Sue O the Equarion be Squared, ron will have,
ad ddad = L  d do
Wrhich is che comtuon Cahion tor solvine Lqua
HI. Fo Solve Quacrariek Adtected Equarions, by ionsbs compleatins che Square.
tating amay the Second Perm.
10  c d + i d d = 7
.1 431
In che First Form;
64 = 30.
 d a = R, OF a a-
ex e = d=
Then uill ec = ed. + : d d = ac
hich addedrogett. makie ec = = d d = F
Theretorec
And consequems
Buce= Z
Theretore e=
a
oe a a F. 16 a = 36
Conteguentls a Y L d = VR. F = ad
Then 150e-( e d  = d d = a
And since a = = d = V: R L Z ad; i eacte