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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 193, page id 1040780814:0211
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11SCheu
er dictu
odter1
5V
15
qulu
erui
lua
l15, Ut
1IS L
rta
cato
Con
tica 
2
 a
n in
ane
ad D
YI
AIC
plator
L IB. II.
_ CFEOME TRLCA R, LKML. N LA.
rectilinca LOH, MTK, in quibus dantur ratIO CL. ad TMI, cadem
nempe cumratione
data (INUS aFCUS A P.
ad FINUM aFCUS CF;
EatIO LH ad MK,
eadem nempe cum
ratione fnuum ar-
cuum datOrUM PB,
FD; raTIO GH ad
TK, qua eadem eA cum ratione data sinuu arCUUM AB, CD. Dan-
tur etiam e anguli L GHI, MTK arcubus cognitis insiltentes, _ idco
(PeT PFOD. PTXC.) innotescent anguli LGHT, MKI, _ indo arCUS GL, TM,
ec horum semistes AF, CF: Sed dantur ip(I EB, FD arcUS; isitur _
toti AB, CD noti crunt.
Similiterque, ex datis ratione sinus arcus inteori ad sinum arcus
ablati ipsoque arcu reliquo, invenientur totus _ ablatus. Pona-
tur eni CE. H duplus arcus totius, _ OL arcus ablati; unde L. H aF.
cus reliqui erit duplus. Junctis pOrrO GH, GL, LH, in triangulo
FCH datur ratio laterum EL, Crr; eadem nempe cum data ratione
tinuum totius arcus d ablati: datur etiam ansulus LGH, dato ar.
cui L. H in sictenS. FF isituT (Per XLI. Datorum Puclidis) dantur an-
suli GLH, GHL; adeoque arcus quibus intiltunt; (c. comple.
mentum ipsIuS EL E arcus ad interram peripheriam, e EL arcuS;
ideoque ipti cL. H et CL, horumque dimidia, nempe arcus quaesiti.
PROPOSITIO LX.
X datis duabus Mtitudinibus Phaenomeni declinationem non
mutantis e Azimulhis correspondentibus ejus Parallaxin
Envenire.
In duabus Phaenomeni siri observacionibus quinque dari poltun;
dux nimirum Altitudines, duo Azimuthi, _ Tempus inter obserra-
tiones intermedium; e quorum quatuor quibussibet Parallaris in-
notescit, unde emergune eria Problemata sequentia.
Ad primi solutionem reterat e Polum; L. Phanomeni locum ve-
rum; ex in obserratione altera siE L. M circuluS
verticalis, e Phaenomeni locus in illo ritus n,
ad eoque Parallaxis L. M; in altera circulus ver.
ticalis per L trantiens sIE L. N, Q obserrationis
hujus Parallaxis T. P. Ducti intellisantur cir-
Culi MaXIMI PAI, DN, MN. Fx AIcitudinibus
e Arimuthis obserratis, e Poli elevatione
innoteleUnE arCUS eM, eN distantix visa a
Polo P, _ anSulI PMIE, PNL. inter declinationum circulos d ver.
ricales comprehensi: datur praeterea ratio fInUS Parallaxis L. M ad
Linum Parallaxis F. N; eadem nemDe (per PFOD. XLVIT.) cum ratione
sincum distantiarum obserratarum a vertice. Dantur ideo angulo.
rII inEeGTOTUM PMN, PNm ratio Enuum, eadtem nempe cum ra.
tione