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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 806933011:0068
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A N
6. The Ansles a and b, a5 alloc and d in evers
the Anele at the Center, must be doubre  opa
Rectansle Or Parallelosram, are called the oppo- the Angle ar che Circumference. R. L D.
e Ansles au at eeat  oe ACF,
sor che Anele a is cgual ce ihe Alvernate one e,
on che. late Side b, Wheretore a is equal. 10 b
red equasto cach orher.
ANVCF os Riehe ascension, is the Anel
ertrich che Circle oF che ScarS Right. ascension
ANOLE at the Centre of a Circle, is an Anele
And
e Follorine Corollarios.
2. AII Angles ofd and obd Randins on tc
Tame Ark, Or beins in the Came SCgmenE, are
equal.
because ther are just che halres  l
Anole. oc d ac the Center. Vid. Fic. preced.
2. Hlence any Angle ac the Cenrer c Randine
On halt rhe ArK ob must be equal co onc ar che
Circumference a wtich Mall Hand on od the
Norid.
made chere by uo kaatuss Wi    foroe As et on the double ot che tormex Artc.
Centre.
and c is equal roche Inrernal and Oppolire onc
and alcer che same manner may d and c bc prO
makech wrich che Meridian ar che Pole ot he
Proposition.
EEstandine or insistins on che same Chord, Or
beins in elle lame Sexment cn Hheles are torm
ed, 250cd, op d, one acthe Cenrer and ile tet
ac rhe Circumterence: The Ansle acrhe Cente
is alvays double ot char al luc Mcunterence.
OE. this chere are 3 varieries:
1. Irhen onc Leg ot che Angle Lie Mal.
tex ot the Circle, then ris plain, ue ansle al the
Center oc a, beins external rothe Lelas
vill be cqual 100 f p (by 16 8 T. FHCL, OIE O=
because che Triansle is an ssuas (5 eT:) Wrhere
FOrC Cum 2D. D. L. D
Case 2, 2
3. And trom hence tis plain, chat every Anele
in a Semiocirele, asa, mustbe a Rixhe onc, bc
cause ris equal ro c a rhe Center, which Aands
on a Guadranc, and is a Riehe Anele.
Theretore an Amele, asa, made. in 2 Se8
hene less than a Semi cirele, must beobruse, De
cause ris equal ro ocb ehich is biscex chan a
lstr one
Wrten che Diameter divides the tvo An
eles, then ris plain, rhe whole ansle ac che
l’enter ded unt be double to che rhole An-
sle oxo al the Circumterence, because ies Parrs
are leverally double ofrhe Pamrs oF P (by cho
Case 5. When the Angles Fall Borh on the lame
dide ot etie DiaMIerer, ehen ris. plain CHC WBOIE
Eixternal Ansle bou l Lopd, and the Parr
icom r esse vicietore ihe remaicine vaec oea
Ist. Case.)