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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 261, page id 1040780814:0279
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est 6
Lib. TII
eE CTEOMETRLCAE L LEMEN TA.
rectangulo ad T, e datis sinubus lateris LP d anguli LP V, inreni
antUX SInUS laECRUM L Y, PP: Datur igitur sinuS arcIS FT, differentix
nimirum aTCUUI FP, YP. FC tandem in triangulo sPhXTICO FFF
rectangulo ad r, c datis sinubus laterum L. T, F Y, inveniatur sinus
lateris EF. Fodem prorsus modo inveniatur finuS lateris LL, e
datis snuibus arcuum LO, FM, exprestus per prius positam Radi-
cem: Dabitur ergo aequatio inter sinum arcis FL primo inven-
tum e sinum cundem secundo inventum, cujus resolutio dabit va-
lorem Radicis, sire Siniis arcus L. N; unde omnia quasita innotescent
Duod R eligantur Loca talia in Terra, ut Planctae communem
Locorum azimuthum transeant, atque iltud temporis instans in
quo horum alter dictum communem Arimuthum tenet; Con-
sruetio haec migrabit in particularem iAtam PrOp. L. XXXVII. Opt.
Prom. Facobi Grecorii.
LEMMA.
Mis intervallo duurum quantitatum es ratione inter illas,
Sumatur quantitas, glia est ad notum interraltum sicut major
terminus rationis data ad differentiam terminorum; crit haec quae-
Sitarum major: Nam in quatuor proportionalibus, Facta ex duabus
prioribus sunt in eadem ratione cum similiter factis ex duabus
vosterioribus. Si major multetur dato interrallo, relinquetur minor.
PROPOSTTTO XLIV
Observationibus duabus ejusdem Conjunctionis Corporaus
duorum Planetaram, in eodem Loco habitis, utriusque Pla-
netae Parculdioin determinare.
Oblerretur prove Coniunctionem Corporalem, mocus VIIus duo-
rum Planctarum ad Fclipticam reductus, à se mutuo (vel ad se mu-
tuo) dato tempore Factus: Ft per notam, ex pracedentibus, utrius
que Planeta Theoriam determinetur eorum motus à le mutuo, in
Feliptica computatus, ex centro Terra spectatus, codem tempore
factus; quod latis accurate fieri poterit, si tempus non sit nimis
MAGHUII. Fx hisce isitur arcubus datis, nempe vero et riso Pla-
netarum notu à se mutuo eodem tempore facto, determinanda
CM utriusquo Parallaxis.
Reterat no Florizontem, 2. Zenith _ F. C Fclipticam: Sitque SV
arcus Fcliptica, quo Planetae (ex centro Terrx
Spectati) dato tempore d se mutuo moventur,
ex eorum Theoria nOtuS; _ AB arcUS Rcli-
prica, quo a se invicem eodem tempore mo-
veri videntur, obserratione connitus; datur
erso horum difterentia. Per a e B intellisan-
tur ducti Latitudinis circuli AD, BF, vertica
libus ZE, Z0 per S e r ductis occurrentes in
DecF: CAque Sa Parallaxis Lonsitudinis Pro.
261
quantitates invenire.
DIOTIS