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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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A P
Node ot che Moon; and whenthe Moon also is ) char some Parallax Bould be found: And chis
to be Northerly in one Pode, and Southerly in ould be a Discorerr oE grear Moment, il it
the ocher: In chese chings there necds no sreat
Exactness, because the Ditterences oF Lacitude
may be susticienty supplied trom he Pables.
AEthese Times ot Observation let ehe visibl
Ptaces ot the Moon boch in Lonsirude ane
Laciiude be caken, rosether ith her risible AI-
rirudes and Diameters, wrhich ler bereduced 10
rhe FTorizontal; then From the Pimes and Vis-
ble Places, let in cach Obserration, the Verrical
Ansle be. compured, wrhich is made wich the
Circle oE Laricude at the Moons Cenrre; and
chen che Disserence by irtrich the Souchem Laci-
cude excecdsthe Norrhern (in our Norchern pari
OF che WVorId) is the Sum oF che Parallaxes ot
Laricude, wrhich, must be dirided into LNO ParES
Wvhich t0 do, pur into one sum che Losarichms
OF the Sine oF the Lorizoncal Semi-diametex ol
the risible Distance of che Moon trom che Ver
cex, and of che Complement oE the Ansle oF the
Vertical Circle, wich che Cirele os Larirude, in
each Oblerrarion.
Then out oE the greater Sum cake the lesser
and ro che Difference add FRadius, theSum Mal
bc ihe Losaritim ot ihe Tangent oF an Ark
From Whence rake 45 Degrees; then will ic be a5
Radiusto the Tangent of cheRemainins ArK:
50 is the Tansent oF che half Sum ot che Parat.
lay, r0 the Tangent oF half their Disterence:
Bucche half sum and halt Disserence rosether, id
the greater Parallax oF Laritude, and the Disse
rence betreen them is the lesser. Patre chis
Parallax ol Latitude out of che visible Souchern
Paticude; or add it rothe Northern, and il
vill Mev che Inclination.
An Cen Lat, I WDe as ie Rectansle
under the sines of che Distance seen trom the
Cenith, and ot the Complemene ot the Angle 0
he Verricle Cirele wich che Circle ot Laricude, i
tothe Square ot che Radius:: S0 is the Sinc o
che Parallax oC Larirude, r0 che Sine oE cheL
rizontal Parallax.
Andthere is berrveen the Sine OF ThC LLOTIZON-
ral Senameter oF etie NOOn, a LIIC LLOLL
Zontal Parallax, lO Conlanc a Proporrion, chac if il
could be made; because it ovld be an undoub-
ced Demonstration For the Annual Motion oFche
Farth round che Sun, it any such Parallax consd
be discorered.
This theIngenious Dr. FTook attempred ro finc
by obserrins che various Distance ot a Fix d
Scar Cromthe Zenith: (Sec a Dissertation ot his
designedy rrircen oi this Subject.) And our
Excellent AAtronOmet ME. Flamsteed, actually dic
obserre ic by the Accels and Recels oF a Fix d
s
Sear co ind from the Pole oF the Rquator ac dit-
Terent Pimes oF ehe Year.
And he alsures us, in his Letter eO DF. WV allis
Written Decemb. 20. 1698. and Publimed in the
Larin Fdirion Ot DF. Walliss Works: Thacha
Found the Distance oF a Fix d Star near che
 Pole oF etie Worid 10 bc 40 Seconds, Or 43
Seconds nearer ro it ac the Winter Solsice cham
at the summer one: And this he obferred For 7
Tears rogecher wich sreat ACCMTACY.
So chac he judges che Objection oF RiocioluS
against che Farchs Morion ro be entirely remo
ved, and its Revolution round the Sun prO.
red.
Dr. Gregory seems not Patissied with chis Proot
(tho hebelieres the Doctrine trom orher Princi-
Ples) buc inclines rather to che Opinion OF C0.
pernicui, Thac che Diameter oF the ParrtS AnnuI
al Orbit is insensible, in respect ot the Distance
OF the Fix d STarS. BuE Others may judge whe-
cher he brinss Reasons Cufficient to overchron
Obserrations (o caretuiIr, and (oofren made, a5
those produced by MP. Flamsteed Sec tis Astron
P. 275, 276.
PARALLAX os Faricude, is an Arch oE 
Sreac Circle passins by ihie Poles oF the Zodiack
to the apparent Place of ihe Scar, and interceprec
berreen tro Circles ot the Ficliprick equally di-
Rane, Whereot the one passerh by the rrue Place
OF che Scar, and the ocher by che APParenE
Place.
PARALLAZOs Congitude, is an Arch oF che
Eeliprick (or Parallel Thereto) intercepted be-
tveen uvo great Circles, Whereot the ore pal
sechtrom etie Poles ofthe Feliprick, and the erne
Place; the orher From the (aid Poles By che ap-
Parent Place: S0 that the Parallax oF Longicude
is onty che Difterence ot the rrue and apparent
Place, accordins ro ine Lonsimde ot the Eclip-
tick.
PARALLAOETCAT Anele, is an Angle made
by the Oblique curring ot a Circle oF Altirude,
findir, see Ansle os the Felipriek with the Verticat
Circle
PARALLEL Linos in Geometry, are chole
which run alvars equi distant trom cach orher;
on d neirher 50 Further From, nor come neareK
tocach otter; and cheir Distance is alW2YSmea-
sured by a Perpendicular, Wrhich whererer it be
caten, is oE che same lensih, or is stvare
equat 10 ir setF.
eanbe buconceknown, che Moons Parallax at
any time ill be had trom che Obserration oF her
Diamerer.
AII the Dissiculer ot this Procels, is in oblet
VINZ LHC MIIIOIC Laritudes OF the MOOn; and
erhich indeed cannor De had without che help Ot
the Fix a StarS, Whose Laritudes are in no lata.
IOSuC yCE exFanE, Correct to a Minute: THerC
Fore elle Accurare Solution of this Problem muit
depend on fome berrer Pables than are yet puo
lishred. And those L hope we mas expect trom or Verrical Circle wirh the Fctiprick. FIoW l
the melc securare Altronomer, MI. Llunslced
Whiest hie hrach finim dhis Cacalogue ottLLA
Scars, Wrhich he is nou about.
In che Ingenious Dr. Crecoris Astronomia
very uletul rarieer of Propolitions For the find
ine che Parallax, Vide LIb. 2. Sect. 7.
Tho there be no Parallax oF rhe Fix d StaIS,
in respect. of the Farchs Cemi-diamerer, the wotrole
Body oF che Farth beins bur a Point in reterence
roche Distance Berrveen us and the Fix d STars;
ec in respeet oF che Annual Orbir of che Farrh.
Physica and Geometrica, rou have 2 great and (o thac is ther vere intinitelr produced, ther
it nads qbds veea cnte