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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 195, page id 1040780814:0213
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iuS INVC
ex calo
anguli
laterio
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in Me
nucal
cex Het
ni Y
PhaMC
uIn L
erit a
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imas d
5 PHaL
udinuI
II C
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un
L. Ib. 1
_E GTEOMETRTCLEOHLEMENTA.
195
areus Z H ad sinium arcuS, ZF; _ ratio sinits ansulis Z I F ad sinum
anguli P P E, PCU SInUS arCUS P. F ad fInUM arCUS E F Vel LIMUSIAreUS
X F ad (IUM arCUS ZH. Datur propterea ratio sinus ansuli Z Fer 12d
linum anguli EFH; et datur ansulorum differontia, nemDe LRB: e
Ideo (per PFOD. LIX.) innotelcunt iptransuli ZFH, PPH; ac proinde
etia PMF. PE tandem in TriansUIO EMF, e datIS HF, PHF, PPE
innotescunt Parallaxes qua ita PF, P. II. O. F. P. P et LBIIBL OI
eROPOSITIO LXI
Duobus Phaenomeni Aeimutbis. cum Miirudine eorum alteri
respondente  lempore inter binas Azimutli observationes,
Phaenomeni Parallax in investieare.
li etue
Tildem in eodem schemate Dottis, inveniuntur eodem modo
exZ aequalis, PZX _ XZ. Px binis Aximuthis dantur anguli PXB,
ez F, ec ideo innotescunt ansuli XZP, Z XF; C quibus, UNa CUM XZ,
invenitur XB. AC PrOpter Altitudinem datam datur ejus comple
mentum XF, E proinde innotelcet FF. Parallaris quata. O. H. F.
Si vero, in casu utriuris hujus Problematis, Phaenomenon motum
aliquem habeat, post intesram Terrae rerolutionem, cum LenitM X
ad idem Caeli punctum redit, obserrabitur Phaenomenon, non in P
(FICUE ante) Sed in alio loco, puta a; e obserratione innoteleunt FC,
XFC. Fiat isitur ut intoser circulus ad FC ita ansuluS XPZ ad FL,
ductus inteMisaEUS CIrCULUS IAXIIUS XI. SCCaNS Z H in M. In Eri-
angulo XFL, CdaTIS XF, FL, XFP daNtUT XLG IEXL; ec ideo datur
ZXL. Demum, Cumendo puncta F, M Ioco ipsOrUM P, F, inremiatur
(UE antC) um Phanomeni Parallaris. O. P. F. 
Sunt ex alia obserrationum genera, ex quibus Phaenomeni Paral.
laxis Greometrice determinari potest; ut ejus Ingressus in umbram
Planeta; e Conjunetio corporalis vila inter Phaenomena. Verum
cum haec ad Parallaxin generaliter consideratam non pertineant, in
libris sequentibus locum sibi vendicant.
PROPOSETTO EXTTL
Atis Phaenomeni loco respectu Fictipticae ( Parallant Alitu-
dini datae concrua, item Solis loco es Diei hora, Phaenomeni
Parallaxin Loncitudinis es Latitudinis invenire
Sit re Horizon, P CB Feliptica, ee Zer circulus verticalis per
Phanomenon traductus. Sit a locus Phaeno-
meni in illo verus, a visus; adeoque a a Par-
allaxis altitudinis. Per a e a ducantur L. a-
ticudinis circuli AB, aB FCliptiea OCCUEreN
tes in B eE B. Dantur aUtCM (PEF PFOP. XXXVI.)
ansuluS VeB e arCUS Va, Ve, horumque
proinde differentia a c. Sed quoniam datur
Parallaris altitudini cuidam datae congrua,
dabitur (per PTOP. XL. VIT.) C illa, qua altitu.
dini datae ra congruit; areus sC. aa. Datur ereo horum areuum