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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 73, page id 1040780814:0091
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=91
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# Lines: 79 recognised, mean confidence 0.82
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Lib.
itur ab
nagIS.
rU
re
tCMP
TII
lelet
vis set
Mco
Dd 10
Ctat
iecu
oncip
55 Det
in rect
noco
ateaC
in 113
CX)
X6
(15. 33
aCC
TCTIL
Et 1811
NN. I
buS PI
r pOris
COrpo
lente
IMaBC.
eC
eE GTEOMETRIOA FLEMENTA.
PROPOSTTLLI.
volvitur, tirrores quosdam, ea auctorum planorum inclinatione ortos
eorumque causas e rationes exponere.
FiX ProP. Praec. demonstratione palll oes s pLCA
viribus per reCtaS AMI, MN repraesentatis oriri. Ouia autem harum
altera am asit secundum rectam L. T, qua in plano Orbis CorpO.
eis L jacet, vis secundum illius directionem agens motum ipsius L in
laticudinem nunquam perturbat.
Porro, Citalis fuerit orbita
COrDOTIS L. CITUS, Ut COrPUSS
reperiatur in communi illi-
us sectione cum plano orbis
E. TF, quem T delcribit circa
S; (hoc cs, in phrat AArO
nomica, R Nodi orbitx ipsi
US L Fuerint in Syzy giis cor-
Poris S;) uretiam in plano
Orbis corporis L. jacet; quip.
De in communi lcctione: aC
proinde ris secundum illius
directionem agens motus
hos non perturbat.
Religuis manentibus, supponatur corporis L. orbita planum aCBV
ad planum sFY inclinatum, ita ut ejus pars cco supra illud clere
tur, ParS vero cBD intra idem deprimatur; eodem centro r e
aequali Temidiametro, intelligatur circulus cBDe descriptus in plano
SFT, ex Nodierunt ceD: supponantur hi, exr spectati, aspectum
quadratum cum corpore s obtinere; hoc cst, supponantur ansuli
STD, STC recti. In calu motus corporis L per lemicirculum CaD,
(vid. H5. T.) Corporis L. Vis ut MN, cum directione MN (hoc elC, ab
L. ad F) asens trahut corpus ex sua orbita caD rerlus esD; id eA,
Latitudinem corporis T. (a plano c sD computatam) minuit: _ CorpuS
In recedendo perpetuo verlus plasam 5 a plano ccD, ulque dum
perrentum fuerit ad Nodum proximum, non transie planum
ETS lire ceD in puncto in quo illud prius transierat, sed paulo
citra illud; Nodumque orbita, à se nunc descripta, efficit pautulum
in antecedentia respectu odi D orbita caD, quam absque hâc ri MN
descriplilset. Similiter in transitu à Nodo D ad nodum c per lemi-
circulum DBC, (cui catui A5. 2. CA accommodata,) ris utM NI asCHS
secundum dircctionem M N, sire ab L. vorTuS F, Facit UE COTDUIS L. PCr.
Detuo recedat ab orbita DB C, aliamque describat ad DBc in minori
ansulo inclinatam, e ut planum oBc transeat citius quam in c;
hoc est, quam fecisset si ris mor non adfuistet; e hoc pacto Aet
nOruS
Isdem positis, propositum sit corporis minoris L. circa maenum +
revolventis, non in eodem plano in quo ecirca manimum 5 re-