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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 355, page id 1040780814:0373
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L. ib. IV.
_E CTEOMETRLCA E LEMENFA.
Diameter apparens parum excedat Diametrum apParenEeM SOIIS,
ideoque communiter pro centro Penumbra habetur. Immo quan
deque circellus hic rere nullus cA, Solis Diametro Lunx Diame.
trum apparentem superante. In utroque autem casu aliquis Perra
locus totalem (rel centralem, licet non totalem) Solis Lclipsin pa-
ritur, cum Penumbra centro in minima à centro distantia verlante,
Distantia risa Luminarium aequetur summae Parallaxium horizon.
talium corundem, aut ab illa deficiat.
Penumbra autem Lunx intesra Terram obumbrat prithum,
cum er Distantia minima centrorum
Ferra circulique Penumbrok, hoc est
(per PFOD. PFXC.) Distancia minima LU.
minarium visa minuta semisse Parallaris
Solis horizontalis, (Nam V M eA proxi.
me aequalis semissi TR,) aequalis est dif.
FereNEIA IPSaEUM TR, AV, Sive excestui
Parallaxis Luna horixontalis supra summam Semidiametroru
Luminarium. Ouod si Distantia ilta excettu hoc minor HE, Penum-
bra interra in Terram incidit, restatque circumcirca TeIluris tra-
ctus ab omni Solis Defectu immunis.
Ticet Lunx Ombra Penumbrare in Disei planum excepta sit cir-
culus, in superticie Telluris spharica (ubi revera excipitur) circum-
seribitur lined minime circulari, (nisi cum umbrosi coni axis per
Telluris centrum extenditur,) immo non in eodem plano jacente:
de cujusmodi Lineis opusculum Anno 1663 cdidit P. Coursier,
quod d de Ombra Telluris in Cuperficiem Luna spharicam excepta
Similiter verum cA. Verum in Feliph Luna tractanda non opus crat
hujus meminisse, quia ejus sphaerica superticies Obserratori Terri-
cola in ipsum Discum planum abic. At in Fellure domicilio no.
Aro res aliter se habet: Spectatores enim in Tellure omnes, eodem
temporis puncto ejusdem magnitudinis Solis Feliptin pasti, in hu-
jusmodi Linea jacent. Verum ejus determinatio non est hujus loci,
nec ad Asronomiam proprie pertinet.
Distantia vero proxima inter Luminarium CenEra PEODC NOM
lunium ex Terra centro rila investisanda est eodem prortus modo,
quo distantia proxima inter Luna Ombraque Terrestris centra
prope Plenilunium PFOP. XXXV. inventa est; nempe (per PFOP. XXXI.)
inveniendo Conjunctionis vera dato Mense con-
tinsentis Tempus, quando sc. Luna reperitur in
N Sole ins verlante, posito sNt Latitudinis cir-
culo, e ad idem Tempus quaerendo loca NVodo.
rum Lunx, quorum ipsi S proximus (L B, ut _ 60
Inclinationem Orbita Lunaris ad Fclipticam: quo pacto in triangulo
Spharico 55 N rectansulo ad s dantur s5 Distantia Nodi et Solis,
ec angulus st Inelinatio Lunaris Orbita ad Felipricam; unde in-
venientur latus s N angulusque N. Rursus, in triangulo ST. N (quod
propter parvitatem pro rectilineo potest haberi) praeter rectum