# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0540
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0540?run=74
# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0540
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=540
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000540.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 106 lines, status machine
# Lines: 106 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

NI
Horion For thas time DC R, that OF chie APO-
sec of ihie NoOn Will BC L, and thac os the
Node F. 
Onty obserre here; Tha il che Equation OF
the SunsCentre be required tobc added; chen
the Equation ot the MoonSmean Morion must De
Tubtracted, that ot her Aposce must be added.
and chac ot the Node subducted. And on the
Contrary, iF the Equation OE the SunS CeH-
tre vere to be subducted, the MOONS F
quation must be added, the Equation oF het
Aposee subducted, and chat of her Node
added.
There is aIO an Equation of the Moons mean
Norion, dependins on che Situation oF HeF APO.
sec, in respect ot the Sun; wrhich is prearest
When che MoonS Apogee is in an Octane Wwich
che Sun, and is nochins ac all wrhen ic is in etie
Ouadratures Ox 5y27975. This Equarion, when
Pet P represent the FartH, TS a Righe Line
joinins the Parrh and Sun, T A C B a RighE
Line drann trom che Farrh ro che midale or
orcarest, and the Sun in Perisao, I5 3 min. 56 mean Place oF the MoorS ApogCC, equated, 25
seconds. Bur it the Sun be in aposao, it will abore: Lec che AnglcS J A be the Annual AF-
never be abore 3 min. 34 seconds. At orher Di- sument ot the atorelaid Aposee, TA che least
cances oF the Sun trom the Farch, ihis Lquati. Pccenricies oE che Mooris Orbic, LB the grea
on, Wrten ercarest, is reciprocalls as the Cube
OE Such Distance. BuE When FhC MOOnS ApO
sec is any ertere bue in the Octants, ihis F
quarion srows sess, and is mostr at the same
distance becireen che Parth and Sun, 25 the
Sine oE the double Distance oF the MOOnS A.
posce, From che nexc Ouadrature Or 5Y2Y 8Y.
Eo che Radins.
This is ro be added cothe NoonS Morion,
test. Bissect AB in C; and on the C enere C
ich che Distance A C describe a C ircle A F B.
and make the AnsIC BC F = 10 itie double ot
the Annual Argument. Draw che Righe Line
F F, char hall beche Eccemricies of theMoons
Orbic; and the Ansle BI P, is che second F-
Quation ot che MoonS Apogec required.
In order ronhose Decermination, lerthe mean
Distance oF the Farth trom the MoOn, Or the Se-
While her Aposce passes trom a Ouadeature midiameter oF che MoonS Orbit, bC 100000O;
vich the Sun Eo 2 Sy279Y; buc this is eo be sub-
ihen Mallits grearest Lccentririer Y B bC 66782
tracted trom ic, wwhile The APOSCC MOreS FOM) Cuch ParIS; and the least F A, 43319. S0 chaE
the SyzYer cothe Ouadrature.
There is MOreOret anocher Equation ef the
the grearest Rquation of ihe Orbit, viz. Wrhen
che Aposce is in the Syzyers, Will bc 7 de5. 39
Moons Motion, wtich depends on the Aspect oF min. 30 seconds, or perhaps 7 de8. 40 min. (FOr
the Nodes of che Moons Orbic wich the Sun: L suspect chere ill be lome Alteration accordine
And ehis is sreacest, wrhen her Nodes are in
Oetants ro thie Sun, and ranistes quire, when
they come ro their Ouadratures Or SY2ysyS
This Equation is proporrional ro che Sine oF the
double Distance oF che Node From the neXFSy.
2Y3Y, Or Ouadrature; and at greatest, is bur 17
seconds. This must beadded ro the Moons mean
Mocion, Wwhile che Nodes are passins From cheir
Sy278Y5 Wich che Sun eo cheir Ouadratures wirte
tim; bue suberacted wwhile cher pals From the
Ouadratures t0 the Sy279Y5.
From the Suns erue Place ratee the equatee
mean NIOrion OF the LunAF APOSCC, 25 WaS a-
bore seved, the Remainder will be che Annual
Argumene ot the Caid Aposee. From, whence
the Eccentricity of the Moon, and the seoond F
quation ot her Aposce may be compard atce
che manner folloins (mhich takes place also in
che Compucacion os any ocher intermodiate L
quarions.
corhe Position oF che Aporee in Cancer Or Capri-
corn.) Buc votien ic is in Ouadrare coche Sun,
the grearest Rguation atorelaid Will bC 4 de8. 57
min. 56 seconds; and the grearest Eguation ot
the Apogce 12 deg. 25 min. 4 Ceconds.
Flaving from chese Principles made a lable OF
the Equarion oF the MoOnS ApoSCC, and OF che
Eccentricities of her Orbit to each degree oF the
Annual Arsument, trom Whence the Rccentricier
PF, and che AngieL forz. ule lecond ana
principal Lquation of che APOSCC) may casily bC
had For any Time required; Lex ThC LqUALION
thus found be added to the Arst L.quaced Place
Of the MOOrS ApOSCC, iE ThC Anua AFOUMCNE
be lessthan 90 degrees, Or Greater than 180 de
Erees, and lels than 270; othermise ic must bC
subducted trom ic; and che Sum or Difference
Mall be the Place oF the Lunar Apogee seconda-
rily equated; which beins cakeen from the
HoonS Place equared a third rime, MalL LCAN
phaeresis or Equation one os CCnC, ad II
ite commes vas, aie cete veres aceataoata
chemean Anomaly oF the Moon correspondins
eo any siven Time. Moreover, trom chis mean
Anomaly oF the Moon, and the betore found
Eccentricier ol her Orbir, mas de sout 10)
means of aTable oF Rquations ot e 
Centre made to erery degree oF THC Mean AIIO-
50000, 53000, 60000, ala 0000) n Lresta-
maly, and Come Eccentriciries, viz. 45000,
FOrmex