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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 806933011:0216
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bendicular roche AX,. a5
ad makee ic cqual
50 =4 ua B un  ou che Riphr. hand it q
F. vec another Circle De dravn on che Diame.
ex C in intich aP must be applied equel. i
AEx, and rhar will find che Poinc I, chroust
may cur rhe Parabosa I X, 29 3, Ox 4 Points, FrOn
whence perpendicularty lec taMl eo the AX vilt b
all the ROOES, Whelet AArmarire or Nepative
ue sorer of inien Will be on the lame cde viit
the Cenrre E When ris =9, and on che ortier side
che Ax wrhen ris
The Demonstration oF ali Which he chus ver
caur gires us: IF che Ordinace CR by chis
Construction found be called Z. then the Abscilta
Ak Wwilt Bc Z Z. because rhe Ordinate is a mean
Proportional verween the Paramerer (here 1) an
the Abscissa (by the Arst Properry ot che Parabo
la5) Wheretore, il from A K vou cake AC=
and alo CD= Z p, vou vill And by chac means
che Remainder D R OF P M, wotrich in ehis NO.
carion will De ZZ
EP- =; (Sec Figure ihe First
Wohole Square will be
pm 22+4
EP + 1. And Because by che Construction, D F Or
CMq the Wwhole CM Will De = Z F =9, and
ies Square will bC ZZ F gZ F 299. Add chien ehis
andche Former Square ot P. Meogecher and you vill
hare che Square ot the Radius L C, OrZ1- 7Z
+4Z F + P P + 2gq + E P + 3. (B; 47. e. Fuctid. )
ixtrich Radius, or ies equal P FT, may be expres
sed anocher vay, it ve consider chac ED = =
and AD = = p L:, For rhen che LIyporhenule F A
will bcV: +4 g f = p p. L E p. f +3 Wvheretore, sinc
AHI is a mean Proporrional berween A5 = Y aHI
AR. -r, ic must ic selF BC nored by V: r: AIIO
since F AFY is a Riphr Angle, che Square o
F. Fum the Summ of che Squares oF FT A and P A
atter Which, describins a Circle n ie Cetere P. thac iS, O OF IF OP F 6 9 g f = p p L = p. +
Wvich che Radius P A, ic Will, (it che Ecaucton bc = Lr: Which last Ouanciry beinq equal 10 Z
Rt12Y + D + =49 f = P + + =O F C, 2
Poines a5 che Equarion hach trde LCoOIS, and rhe as proved belore, il vou compare them copethet
ZZ. qZ Fr; Whence cis plain, IK is cherrue
Wohich che Incersectine Circle must passi and vtole
Radius wils be TF and Cenere P: Which Circt
have d Hegatire Sien, bur on the Letrit u bc F9.
omly a Cubick onc) cur che Patabera lit a5 mans
Will be L. I. Buc iy have à Bebative dien chece (thac means did exceedinsls pertect ana improre
Rfirmarire ones will De Crathales oi letpenicu ou Wi ane cnis aguacton Wo arise, 21= + +
lars lex Fall trom thence rO rhe AX On THC KIONI
hand; and che Nexarire Roors Perpendiculars let RoOr. D. L. D
FaII on the Letc hand oF the AXIs.
esus Idt Wene Des Carres in chis Marrer; bui
Buc it che Equarion be a Biquadrarick one; he considerins only the AXIS OF c Lu all
cire Sien, then From A cake AR=r ana proauce) Caticters, cona nor comtruce ans equations
AS=a OF I. MakC L(S The Diamerer ot a Cirele, BuE FrOM WHICN RC BA AN eCCLCd MC SECONA
and at A erect A perpendicularly; I Cay, che Term. Bur our Baker Took the Cameters Ol la
ehe Fourrh PermrOcino there, alse Mae a LOliee  e Mas anpie de aone by che ortee
orher Circle must pars bus  anet ses Lausus pranters lo ine Ax allo inro Considerarion, and br