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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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e
Former Semicirele of the midele Anomaly, and
added in the latrer to the HoonS Place thuS
phrice equated, will produce the Place ot rhe
Doon a tourth eime equated.
The greatest Variation of che Noon (viz. that
erhich happens wvhen ihc Moon is in an Octane
wichche Sun) is neariy, reciprocally as the Cube
of the Distance of che sun fromche Farrh. J. et
Fhac DC taken 37 min. 25 seconds, When the Sun
is in Perisao, and 33 min. 40 seconds, When he
is in Aposaeo: And let the Disterences ot chis
Variation in che Octants Demade reciprocallr a5
the Cubes of the Distances ot the dun trom the
Farth; and (0 let a Table De made of the afore.
Caid Variation ol the Moon in her OctanES (OF ItS
Logarichms) io evers Tench, Sixch, Ox Fisit
Degree oF the mean Anomaly: And FOr thCV:
tiation out of the Octanes, matie, 25 Radius e0
the sine ot che double Distance ot che MOOn
trom che next Sy2y8Y, or Ouadrature: : (0 let
the atore found Variacion in the Octane be 10
the Variation congruous t0 any ocher aspect.
and this added co the Mcons Place betere tound
in che sirst and chird Onadrane (accouneins From
theSun) or subducted trom ic in the second and
courch, wilt sire the Moens Place equored a
Filth rime.
ASaI, ad LCdesuo We Sine oF the sum ot
oF the Distances of the Moon trom thecun, and
ot her Aposce trom the Cuns Aposce (or the
Sinc oE che Excels ot chac Sum abore 360 des.)
: (0 is 2 min. 10 scconds, t0 a sixth Rquarion
os theMoonsPlace, wrhich must be subiracted
it che atorelaid sum or Fxcels De lels chan a SC.
micirele, but added, it it De greater. L. et ic bc
made alto, a5 Radius 10 Ihe dinc oF the MoOn 
Distance From the Sun .. (0 2 de3. 20 sCCantsto
a seventh Equation: Wtrich, wrtien the Moons
Fighe is encreatine, add; Duc when decreasins
Tubrract; and che Moons Place ill be equared
a feremch time, and this is her Place in ber pro-
per Orbit.
Nochere, the Fi guation chus preouced by che
mean Mascr 2 deorees 20 Seconds, is nor al-
vars of che lame Magnitude, bur is encrealed
and dimine accordies to the Position ot the
Lunar Aposee. For if che Moons Aposce be
ir Consumcn wich the suns, the atorelaid f.
Nance ot che Moon Lcl the Suli, 1bt AC de.
vench Equation.
OE the MoonSalcendins NOdC, equalca ad L
bore; the Remainder Mall BC the Annual AF-
sumene ot rhe Node, Wrhence is lecond L. qua
rion may be computea allet ise sellomins man-
net in che precedine Figure:
Riehe Line conjoinins the Larth and SuHI. Let
alsoche Linc T AC B, be dramn cothe Place ot
the ACcending Node et the Moon, 25 2bOVC c.
quated; and lec SF A bC the Annual Arsumene
oEche Node. Pake l’A From a Scale, ana let
it De t0 AB :: 25 56FO 3, OF aS FY Z FOF. Lhen
bisseet B A in C, and on C as a Centre, with
the Distance C A, describe a Circle a5 AF B,
and make the Angle BCF, equal eo double chC
Annual Argument of the Node betore found:
50 Mallche Ansle BIF, beche lecond lquation
OE che Ascendins Node: Which must be added
Wtren the Nodc is passing From rhe Ouadrature
t0 a 5727 8Y wich the Sun, and subducced when
che Dode mores Trom a Sy2y oy coards a OH2-
drature. By Which means the true Place oF che
Node oF the Lunar Orbir will De sained:
Wrhence From Pables made atter che common
ar, the Moons Laricude, and the Reduction os
quation is about 54 seconds greater: But when ber Orbit ro the Fcliptick, may be compured,
the ApSCeSare in opposition, tis abour as much
lets; alet l states Bermeen its greatest Ouan-
suxpolins the Inclination of the MoonS OrbiE 1O
the Feliprick, r0 bc 4 deg. 59 min. 35 seconds.
ricy 3 minures 14 seconds, and its lcast s minure when che Nodes are in Ouadrature wich che
26 lCouo. Lee chisis wrtien the Lunar Apogce
is in Conpuco es Opposition wich the Suns:
But M ihc Snadratures, the aforclaid Equation
iS EO _L LeHCM d abOuE 50 SecondS, Or One inure,
ertien che Aposces ot che sun and Moon are in
Corsuncton; bur it thes dre in Opposition, For
Waco a custicient number ot Obterrations,
canser derermine whethes ic is to be lessen d Or
incicase. Laa Even aSIO FhC AFSUIENE OF DC-
Sum; and 5 des. 17 min. 20 seconds, when chey
are in che 572Y8Y5.
And Erom che Lonsitude and Laritude chus
Found, and che siren Obliquier ot the Ccliptick
23 desrees 29 minures, 10 che RigHE AscenSiOn
and Declinarion ot the Moon will be Found.
The Hlorizontal Parallax ol the Noon, wher
Be is in the Sy2YeYs at a mean diltance trom inC
Farth, I mate to be 57 min. 30 seconds, and Her
FTorary Morion 33 min. 32 Seconds, 32 Thirds;
and her apparent Diamerer 3Y min. 30 seconds.
Bur in her Ouadratures ac a mean Diltance From
the Faxth, Lmakie the Hlorizontal Parallax Ol
che Moon to bC 59 min. 40 lcconds, HeF LLOFdI
appateE Diameter 31 min. 3 Seconds. ThC
callax; phey will become more accurate. And l’attasee, haist det Cellle dittane trom che C’en-
uis sas renelts be done, is Pables ave tint
made ro cach Minure oFche Caid Parallax, and to
every sixth or Atch Derrec ot che Argumene ot
thC SXEA EquaLION IOL IHC SIXIII as OL CHICSL
From the Suns Place cate che mean Morion
Pet T, as belore, reptelent the L arth; TS 2
cremem ot the lquation, 2 lutuues 20 leconds
aborc mentioned, Ldare determine nochins cer
Calmus For che lame Kcalon, orL. ulC Wanc ot Ob-
serrarion accurately made
IEche sixch and serench Equarions are aus-
menced or diminied in a reciprocal Ratio oF Morion 32 min. 12 Scconds, 2 chirds, and her
chie Distance ot che Moon trom the Farrt, 1. c.
in a direct Rario oF che MoonS Horizoncal Pa Moon in an Octane 1o che Sun, and ac a mean