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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 806933011:0644
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COR OL L A R Y 11.
To inseribe any Polyeon in a 
scribed, is lels chan che Cirele, as is mani
Fest; because the chins containine, is alvays
Breatee hanchechiims contained.
The Perimeter ol every Polyson circumscribe
abouc a Circle, is greater rhan the Circum
ference ot thar Circle; and che Perimeter
ot erery Polyson inseribed is letS.
Hence,
A Circle IsCGdao a Risht Ansled l1.
whose Base is the Circumference oF the C in
clequs andirs leishe he R adius oFiE.
son conscribed, and sreater than any inscribed.
(becaule the Circumterence oP the Circle, Wwtich
is the Bale of the Triangle, is grearet than che
Compass oF any inseribed:) Therclore it illbe
equat co rhe Circle. For it chis Triangle De grca-
ter than any ching that is bigger chanche Circle,
and leslex than an chins that is lesser tlan the
Circle; I Follos, thac it must be equal to che
Circle.
This is called the Ouadrature ox Squarine of
ihe Circle; chat i5, 10 tind a Righr lined Figure
equalro d Cirele; uxon this Supposition, YMac
etie Basis given, is equal ro che Circumference ot
che Cirele; blic accually eo tind a Righe Line c.
qual to che Circumference Of a Cirele, 1S nO y et
diseovered Coometrically.
And erery Polyzon circumseribed about a Cis
cle, is bigger than ir; and every Polycon in
CDROLLAKY MI.
For this Friansle Will De lesser than any Poly-
Ditaa a che Diamerer oc che Circle, in.
to ds mans equal Parrs a5 ihse Polyson
IS EC
Wwhole Diamerer make to Arks interlectuss Caliu
Olites aue a5 in Z3 and lay z chro , Me se
cond Division oF the Diametet, Whick vill
find beleh cne LOIE p. 50 IS l Chord a Y
have sides; ana cen Wia ihe Lensih ot thar
he Side oF che Polyson required; wtich here is
a Pentason.
POEXGON Exterior, in Forrisication, is the
Distance oF one Point oF a Bastion trom the
Point of another, reckoned all round the Work.
POLZCON Incerior, is cheDistance betweem
the Centres of che truo Bactions.
POLTGONAL Numbers, are Cuch a5 are the
Sums or Ageregares of Series oF Numbers in
Arichmerical Progression, beginning wich Dmes
and (o placed, rhac ches reprelent rhe Form ot 2
Polyson. Thus,
are Friangular Dumbens, Because they are the
Agoregares oE a cerrain Number of Points Pa
ced in che Fom ot Trianoles. And
oe
aee Ouatranenlar Numbers, e i
FOLTORAM,