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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 191, page id 1040780814:0209
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Lib. II.
SE CTEOMETRLOA D, LEME N PA.
muthum XZ reterens, ejusque imaginis (R quam PFOSICCTCL) LOCIII
tenens, (ut in Opticis e Actronomicis obserrationibus verlato la
tis constat:) e isitur in triangulo ass, ex datis lateribus 50, sa cum
angulis ab illis subrentis a e s, invenietur as ba(IS, qua est Par-
allaxium summa; ex qua e ratione sinuum segmentorum sD, d D,
(Posito D Phanomeni loco rero,) eadem nempe (per PrOV. XL. VII.,
cum ratione linuum 2 s, x a distantiarum apparentium d vertico,
innotescent (Der PFOP. LI.) ipsa segmenta Da, DS ParallaXeS qua SItX.
Nec secus invenietur Parallaxium differentia, indeque iplae P’aral.
lares (per dictum Lemma) (i D, d, s Eint extra XZ, led in illo pro.
ducto.
Si Phaenomeni locuS verus D sit extra habitationum commu-
nem Aximutum X2, iisdem per eadem atque prius designatis, per
vertices X e Z _ Phaenomeni loca vila respectira ducantur circuli
verticales xd, 2 s, quorum intersectio est verus Phaenomeni locus D.
Ducantur etiam per Fixa locum S verticales X5, Z5, junsanturque
Duncta S, d, scirculis maximis Scl, 55,
as. Obserrator infra x exactissime ob.
servet (praeter arcum Xd) ansulos
X45, X5d e latus sD, vel modo (u-
perius infinuato vel accuratiori quo.
vis; item obserrator intra Z (praeter
7 5) ansulOsZ85, 258 ex arcum 5s. Porro, ex datis habitationibus
(PeF PFOP. XXIV.) datur ZX, e ex hujus situ, per FixaSobserratio.
nem, habentur ansuli ZX5, XZS; unde innotescet ansuluS XSL,
qui ex Cumma iptorum xSd, 25s ablatus relinquet d5s, ex quo e
lateribus sd, sscognitis inveniuntur ansuli 5ds, Ssd e a s latus.
Scd prius noti crant, per obserrationem, Sa X, 58Z; quare d re
liqui D as, Ds a innotescunt, per quos e cognitum latus as in
criansulo Das inveniuntur latera Dd, Ds Parallares qualita.
PROPOSTTTOEVTL
Datis duabus observationibus Phaenomeni fivi, Bol est, Cujus
nullus est motus praeter diurnum, ejus Parallaxin invenire.
Reterat P CL. F Felipticam; B Phaenomeni locum rerum, Pcliptica
respectu prorsus fixum. Et in observa-
tione altera siF Z B L. circulus rerticalis, in
quo Zenith 2 e Phanomeni locus vitus
B; in altera (IE ZBF verticalis, x Zenith,
(etenim punctum verticale considerari po-
test moreri respectu Fcliprica immota,
aque ac Feliptica respectu immoti ver-
ticis, _x quidem magis propric;) e B Pha-
nomeni locus ritus. Lx prima observa-
tione (per Primi Motus Problemata supra
constructa) determinabuntur Fcliptica
punctum E, ubi verticalis per B trantiens
Lcliptica