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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 806933011:0161
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R
6. The Line BH = DH is che side ot che s drano chconet ile Beginuine or che chird siom 
a Righr-Line, to che oppolite Concave Circumte
rence, and chence anocher Kiehe Line ro che end
ot che Diameter B.
Thus, c. 8. c0 divide che Circumterence ince
chree equal Paris, divide ihe Diameter AB inre
chree equal Parrs, and chen omierins crvo oF. che
chroustiche beginnins of chechird, or chroueh B;
dram the Righe Line D3, and From Z che Linc
B, Wrhich last will be che Side of che Priangse
o be inscribed; (0 + B will bc che Side ot 
Square, B5 che Side ot 2 Pentason, B7 OF an
Freptacon, _c.
Je Plane ot any Circle may be considered as
made ux of an infinice number of Concentrical Pe
ripheries encrealins trom che Cenrre in Arichmeri
cal Proporrion; Wheretore a Rank ot luch Peri
pheries will beco a dikee Number equal eo th.
Greacest, 25 120 2. Wheretore the Arca ot L
Circle is co the surface oF a Cylinder whose Feiphr
is equal eo rhe Radius, and ier Base thac Circle, 2
2+02. And consequenely, it che Lleighe ot cho
Cylinder had been equal co che Diameter oF chc
Cirele (which is ehe ease ot a Cylinder circum (eri.
bine a Sphere) ihe Curre Surtace ot che Cylinder
ronld be equal r0 +rimes che Bale OF ic (1. e.
che Surtace ot a Sphere is quadruple ro cho Ares
oF onc ot is grear Circles; For the Surtace oF che
Sphere is equal ro che curred Surtace oF such 3
Cylinder; as is proved elsewhere. Sec Cylinder.
The Proportion of the Periphery of a Circle rC
is Diamecer is sels chan 335, and prearer chan
33
1
The Area ot any Circte 10 che Square de ile
Diameter:: is 45 i OF che Periphery co che Paid
Diameter, a5 is proved under Cylinder
The Area OF any Circle is incommensurable 10
the Square oE ihe Diameter; and (0 is also che
Periphery 10 che Diamerer. Sec Sturmiuss Ma
obes. Fnueleat. Prov. 43.
CIRCLE. Pquan, in che Prolemaick Aistrono.
my, is a Circle deseribed on the Cenere oF the F.
quant; ies chiet ule is ro sind che Variarion ol che
tiest lnequalicy.
GIRCLE os perperuat Apparicion, i5 one oE che
lesser Circles parallel ro che Equator, beins deleri
bed by any Poine ot che Celestial Sphere wtict
couchech che Northern Poine oF che Horizon, anc
carried abour wich che Diurnal Morion. AII ehe
Scars thar are included ichin chis Cirele never ie
buc are alvars visible abore che Horizon: And
Thc.
CIRCLF os perperuat Occulration, is anoche
Circle ac a like diltance trom che Equator, 2n
contains all chole Scars which never appear in ou
lemilphere. Buc che Scars siruared becween chele
Circles incestany rise and set ar cerrain rimes.
CLES of Altirude: Sec Almieanters
ZCLFS os Declination on the Globe: S0 Pom
Nricers call the Meridians on wtrichche, Oeclina
tion or Diltance (xom che L. guator of any Planet Or
Star is aCCOnHICa
CLESos Lonsu, M Ide Clobe, are prea
Circles pakinz chrough che Scar and che Pole et
che Fctiprick, where chey determine che STar:
Longicude reckoned trom che besinnins ot Aries
On chele Circles are accounced che Latirudes ot
Pevrazon.
The Line AR (which is che Chord oF ha
L LALK AF) is che B
ot an Octason inscribed
8. The Line DL. (etich is 3 oF cHC AI.
B AD, i5 che side OE a NonaGon
3. Lde Line E. L is ihe lide ot a Decason.
eroblem II.
L0.avide ihe Circumterence ot 2 Cirele in
ans numbet be ciscrat Paits.
Opon ehie Diameter A B (OF che given Circle)
make an Fquilareral Triangle ABD, and divide) The ScarS.
ehe Diamerer AB into as many equal ParIS aS
CIRCLESof Posicion, are Lces PaMIBS Cy The
rou desson chere Mail be Sides ot che Polyson eo common incerlections oE che Forizon ani Mcridi
De inlcrisea, or as the Circle is eo be divided in- )a aH CMFOVSI a cestee or the Lcliprict, on
ven
Co; and omierins en d, l. 8.   , pe Cenrre ot ans Scas; or ocher Poinc in che fiea-