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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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verlal for all Eguarions nor excceding a Dimen-
hons, vichour any previous Keducan ot chem, or
catrine avay any oF che TermS.
And his Merhod is chis, as yoi may tind in hi
Clavis Geometrica.
Pakeins any Parabola, let the Parameter, OL La-
tus Rectum be called 1== L, (that l0 the PoWet ol
L. may creareno rrouble) and irs Verrex a, Then
At RIChE Angles r0 che AZ inseribe R A = =P
COr halt ehe second Termin che Equacios, sand chen
AD, eo be dramn Parallel roche AX; Lolacthe
 OF p, Or oFp L, (For L is = bur 101) and con- eire Sign in hc Rule
sequenely uhen p=o, or when che second Term
comcident. Nexc in chis Diamerer B, ic derer-
hic C WItFHCtIOn OF Descartes, and male L Oni- = uxWardS Nom iE; and in rhe lattexs RuIe F
bignities adsrhe l etrHand, as- dorh cowards
che Righe.
ccorcins as che Atrmatire oc
Degarire Roeu prerail, H Will be on che Lett or
Kixhe Flanid Ot D.
And in boch paris it P g. Or r Bc =0, etic
Member where it is tound vill vanist and becoie
2I10 0
AS EO thC CipNS OE the Ouantities in his Rule;
he makes p alvars reraim che sion ix hach in che
Equation; bur q alvays purs on a conrrary one
Mall irs poine A be che Verrex oF che Diamerer ro whac ic had chere, r is alvars wich a Positive
Sign, excepe when pr, have contrary siens in the
Distance ot chis Diamerer trom che Ax, is alvays Equation, and ilien r vill alvays have a Hey
Elaring thus by his Centrat Rule Found F che
is ivanrins (25 in Descarreshis Construction) AD Centre of the Cirele, the nexr worte is to deter
will be in the AX, and che Poines Ra, and Aall mine the Radius: And it che Rquarion be nohipher
chan a Cubick, P A is alvays che Radius; bur IF ir
mines the Point D, by ehe LCH OF AD, and be a Biquadratick: Then suppOsinS =S, Or thAF
ehien erects in D a Perpendicular 10 A d5l
hole lensch he derermines allo, and by chacmear
Ands Hthe Centre of the Circle, Wwhich is ro incer.
sect or Touca che Parabola: And chis he PecsMI
by whar he calls tis Centrur abt, Hc.
1. L
2. C + g0t
ELY D.
the htch Term (or Absolure Number) bea Nega.
WVhich 2 Dules are Demonstraced in his Bo0K
and here, under che Word Ceniral Rule; Wrtrich sec
tive Ouanciry. Patre in the Line A F (producd
boch ays it chere De occasion) A I-= L above
and AR. == 5, and makins PR a Diamerer deleribe
the Semi circle R L P; and cerect at che Poine
2 + es + 3 = b = 1D
2. P +
e 
A, ihe L ine AL perpendicularty; etrich chere-
fore will be a mean proporrional bermeen A R
and AF. L Cay che Cirele must pals chro L, and
Fs L Wil be the Radius.
Dut il it bC = S, vou muct deau anorter Dia-
meter P A, and cherein HC In OF apDIY A Z = 10
und because L=L, chey may be corracted
chusus
L At betore Found (For non che Square ot A L is
to be calcen FOr FY A, 25 in cheformier Ca (e it nas
eo be added eo ic,) uvtrich vill And the Point
chro wrhichrhe Ciscle must pass, and the Radine
Will be H Z, Which Circle beine dravon it Will car
ehe ParabOLa in 4, 3, 2, Or P, or in rio Point, and
accordine eo che Number oF such inrerlections
will che real Roos of che squarion be found,
atrich rill be alvays (o mans Perpendiculars from
thole POInes IO A C; a5 eer. NO on che letI
Fland, Mo onthe Riphe, (9C. OF wrtich is rhere
be no e or second Terrri, and allo ic DC =r, chem
on the letr Iland are ihe posicire ROOES, and chie
Nesacire oneson che riphe Cland. Bur if che lecorid
Term be there, and wwich a Nesatire Sien, as
chen No on rhe lete FTand are Acrmacive, and
the ochers M0 on the Righe Negarire; buc it ir
be tx ris on che contrary, No Nesarire, and
Mo politire.
pe Demonstration ot all which is very easy
ro one thac hach considered che Demonstrarion a-
bove siren trom Descarres on which this enrirely
depends, takine inro considerarion allo the Proper.
ey ot he Parabola, wtich Baker had From
Mr. Scrode oF Maperron, thac the Latus Rectum is
eothe Summos any 2 Ordinates, as their Difference is
to the Difference ot the Abscissa.
CONSTRDCTION, in Geometry, is che drav
ing of such Lines as are previoussy necessary for
the makrine any Demonstrarion appear the more
plain and undeniable; and this Construction is al
maysot such chines as vere ell xnomrand souxtir
betoré.
CONSTRDOTIONT, ini Grammar; is che na-
cural, just, and regular placine and disposins, ot
nords in a Dilcourse 10 asro male Proper and ln-
ehe Ecclehastical Courr, or Coure Christian ro che
And vou multoblerre thac in the former oFchese Kines Courr, is recurn d chicher again; For che
Rules + benibes domnvacd som etle Poine A, and( fucses ot ihe Kipes Courc, it upon comparins he
E + 2 = b = A D and
E+
cellislole sente.
DHSBLTATION, is a Wric Wcro
Cause beins formerly removed by Prohibirion trori