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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
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AL
 GTEOMEFRIOA E L EMENTA
PROPOSFTTO XZIV.
Onae Tnaequalitates es Frrores per observationem determi
Cata loca appalentia determinantur opc ricinarum Fixarum,
quarum loca PriuIS exacte per PrOP. XXIX. Lib. H. Cognita habentur;
_ loca vera ex apparentibus per PFOP. EXVHT. ejuldem: Distantia
autem a Terra centro tempore quoris per pracedentem eA nota:
Omnia erso qua Lunx Mocum attinent, nota sunt.
Tnaequalitates in Notu Lunari PFOP. XXI recensitae, cum jam
nOtuIm Sit _ quales sint qualesque expectare licet, ex pluribus hu-
julmodi Obserrationibus, continuo e per plures annos factis, inter
Se collatis patescent, harumque quantitates determinabuntur: ex.
er. hoc modo determinabitur, num (exteris paribus) Luna velocius
moreatur in Syxrgiis cum Sole quam in Ouadraturis; num longius
a Terra distet hic quam illic; num Lunx Notus medius sit velocior
in Felluris Aphelio quam in Perihelio ec. Aliquibus semel deter-
minatis (iis nempe gua a Syzygiis cum Sole pendent, ee mense Sy-
nodico semel aut forte bis desinunt rurtusque incipiune) religuae fa-
cilius a se inricem distinguuntur, quae vel a Telluris motu AnnUO,
vel a revolutione Apsidum e Nodorum Lunx ad Solem pendent.
Frisce a se invicem leparatis, relinquitur Luna Inaqualitas, de qua
generatim actum est Schol. PrOp. XVI, cujus quantitas ex ejus periodo
cognita per Obserrationes colligetur. Ft tandem apparebit, compa
rando Periodum Lunarem hodie obserratam cum illa ante plura la-
cula per obserrationes cognita, num Telluris Clobus temporis de
curtu ouctus sit (quod suspicor) vel diminutus, ee de incremento
vel decremento interea facto per Schol. PFOD. XVIT. RatUCtIE BCO
metrice. Ouod si alia hactenus inobservatae Tnaequalitates Lunx
Mocum afficiant, praedietis demptis apparebunt illa, inque lucem
protracta astronomiam ausebunt, Lunx Theoriam perticiendo.
PROPOSITIO XXV.
Nvenire Solis Pires ad perturbandos Motus Lunae, sive ratio.
nem determinare inter Vires hasce perturbantes e Gravita-
tis Vim nobis familiarem.
Tisdem positis, Vires Solis perturbantes Lunx motum repraesen.
tantur per rectas AM, MN, e ob longinquitatem Solis recta MN
non differt ab Mr, eAtque tripla sinis recti arcus cr distantix Luna
a Ouadratura, posito rE radio; _ aM aequalis eAt L Y, ut C OrOI.
PEOP. XX. CA octensum. Similes etiam Vires, at minores, perturbant
Motum Telluris, quia non ipsum Felluris centrum Orbem magnum
circa Solem deleribit, sed commune centrum graritatis Perrx e
Luna, UE PFOP. L. XIIT. L ib. T. Ostensum cR; adeo ut Terra e Lun2
sint quasi Satellites circa dictum graritatis contrum revoluti. Sed
Vires utrasque ad Lunam referimus, propter demonstrata ad ProP.
L. ∞ LI. L iB. T. POTFO, DeF PFOP. XX. Vis Solis Lunam perturbanS,
qua
nare ex inter se distinguere.