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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 806933011:0682
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V: R 1
(Y 47. c. 1m.) 2
nE = V: X 1
= 2 a = a.
Il. In ee Sccen Lm, wtet a a =  a = R,
In ihe Third Form,
da aa = R.
Which Form must be chus chansec,
1a = da = = R.
Then makie as betore, c. F : d = a
and rhen ec- 0 d -  d
and
Wtiose Sum is ee = = d d = - R
Then is c0 = = d d = R.
Aud 0 = V: : d d = R.
And since, c  2d = a
= a- : d = (V: : dd -R.
Wheretore (BecanSC MeTE ArC rvO POEVIVE RDOES) (= L S) ehe Radius oP a Circle, and erect che
In chis FOn)
 = V: : dd = R. + i d.
Bux the Value OE a IS AmbiguouS, al Pou mult
generally ery borh Roors betore rou cantind Wonich
Wvill Solvethe Ouestion: Whereas in the other cvo
Forms, ehe hrst a found, will be chat required.
N. B. In this way oF SoIM Madraticks, the
trom e, mult be alvass hal ie CDem
cient.
Construction of Adtectea Maaclraricks.
t
ACF =
enets
SCF; ihe
tnomn Ouantier added co, or Subrracted
have betoro under simple P. quations. Lhar ol Ad.
sected ones, id calus done mans nays.
P. In the Firs Form oF Ouadraricks, let a a -]
 Will be equalto V: R ,-. - .  COM-
sequemty, The same Construction and Diapram
selrehere, ihich rasliled in che trst Lorm:
d rhe Koor will be represented by SF. =
V4ddk=
AIE. Inthe Third Form, where S a - a a = R,
a will be equal 10=  1:= = R, and ete
the ROOT a hach evo real Values; make CF
Perpendicular F F = V: R; then deaW E 0
The Construction oE Simple Ouadraticls, vou 47. d L Euclid. ) C O = V: = R, and
consegueneiy, BO = = - 1: 33 = R =
Ie Preates Roora, aut O Z = 5 -15: 55 -R
Orthe trvo Roors will be QN, and N P; equat
torhe two former.
Parallet t0 C. T, and N O Parallet EO F 7
draro also che Radius C HI. Then will (by
da =R. Then byche common Mechodot Solu
tion, a = V: R- p
= d.
Ls ebbea Luadraticls.
Desrallis war ot Consructinme he Threc Formo
oF all Ouadrarick Rquarions, accoumS W MC. Ouch.
treds Method ot Solution.
ameter ot rhe greater be Catteu S, and the Diame-
Roors Found. Wheretore IL and d will reprelene
Dran uvo Concentrick Circles, and let the Di-
rer ofthe lesser D, che Sum and Disserence oF the
he hale sum and hale Disference oF che ROOrS.
VHeetore describe a Circlo whole
Dc C L. a and mate ie Fanseur FF= V. t,