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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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DI ChC LCHEH, iS KnOWIK
by ihe Astronomicas LaBCS; Wrhichi is the AnlC
02: Buc che oblerred Ansle C hZ, beins ex
Ternal ro che Triansse, C b Z. Will bc = 10 C
Wrhere rake c trom ir, and ehe Remainder is
che Angle h C c = rothe Moons Parallax, wrhose
Subcense is he = roche Farrhs Semidiameter.
Suppose thac h0 be 4000 Miles; etien in rhC
Lriansle C h c, chere are alI che Angles, and chc.
A5 S, B. IE0GC :: S, C, 10C B.
ITer erue Distance
And consequenis C B is tound.
ASaI, IM ThC LHaHSIC C DO, LHC HIBIeSOCL
CCD, ane che side C  bens Biven, che dia
C D will be Found by chis Proporrion.
155, D. C6: : S, C. GD.
And consequenly CD also is found.
And nou haring in ne LratBle BD, ThC
evo Sides CB and CD, and che included Angle C;
vou can srst find che remainins Angles sererally
by Axiom 3. and chenche Side BDby Axiom 2.
Or, IF nOE IbenO aBlC, IO BCC HICAIeT MaH thie
Poinea, vou could nor meature lidewars asbetore,
bur ouly backvard t0 b, Or tormard Erom b to a
Nou may then casilys pain che Lenech FrOM D
0c
Wheretore,
A5S, C. hc:: 5, h. C c.
Irhich is che Moons Distanice from ehie Centex os.
out C18BC.
Anct al(0, 25
S C. Bc:: 5, 0. C B.
Ttie Moors Distance trom che Place ot Obserra:
tion.
TRIGONOMEFRY Sphericat
Desinitian 1.
A Sphericat Friansle is made By, Or containec
under chic Arks oF chirec great Cireles oF che
Sphere.
Definition 2.
A Sphericat Anele, is che mutual Inelination ox
Aperrure of the Planes of trvo great Circles.
Properties os Sphericte Trianeles.
r. Irtien one Circumterence oF a Circle curs.
erosses, or talls on anorher, the Sum of che Angle
made cherebr is equaliormo righe ones.
2. When evo Circumterences oF Circles crose
cach octer, ele opposire or verrical Ansles are al-
ways equal.
3. In every Spherical Triansle, he Breater An-
&le is oppohiie c0 che prearer Side.
4. An Dosceles Sphericat Triancte, hach iES An-
eles ac the Bale equal 1o each octier; the Converse
OF utrich al(o is Erue, ThaE iF the Angles at the
Bale are equal, che Priansle is an Isoceles.
5. TFeO Sphericat Triansles are mutually Equi-
laceral, ches are alo Li quiansular and similar one
c0 amochier.
6. IF ruo Spheric Triangles hare in each one
Angle and two Sides including ic; ox is cher have
one Side and vo Anples adjacene respectirelys
equal, rhe whole Trianeles ate equal.
7. Any ruo Sides oF a Spherie Trianele, are lon-
ger than the chird; because cHC ArK OF a GrCAE
Circle is the rearest Distance BetWeen aHy ENO
Poines om rhe Sphere.
Side hcknonm.
for placine the Instrumene at a, vou cati tatie
Ehe avo Angles b a D and b a C, and cake alto
C a D; meature then trom a 20 b, and ac b rake
al(o che rrvo Angles a b D, and a bC.
rou calily sain che Sides a C, and a D, in cherwo
Lrianeles b a C, and b a D; and havins betorc
catren by che Instrumene che Angle C a D, Vor
may sind che side C. D in thac last Triangle aCD
by che second and chird axioms ot Plain Obliqu
Trisonmetry AIIO
Fourchls, On che Application oEchis ParE OP Tri-
conometry, ro che Doctrine et astronomy, depends
ihe Mechod For findins che Parallax and Distance
Ot a LlaHEE, OF STaF.
N Can
LCFC BCThC CenteF OF OuE Farth, and B a PoinE
on ies Surtace; at wwhich, an Observer at h, cakes
wicte an Instrumene, the Anele ( BZ, or the Di-
Rance oE the Meridian Moon C, From her Zenirh