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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 63, page id 1040780814:0081
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CratrIC
traHCI
2Cs) ab
eris Con
Tib.
veriuo
accele
PrOP.)
) Col
vim de
e
inter
sympie
MM P
une bt
n atts
Ordit
NIII
drCt
LNCM
ita 1
uniso
A COM
mutal
5
doctut
Consid
ia, G
ACMd
tande
SCM
uM Cet
n hat
Furb.
L. Ib. L.
_E CTEOMETRLOA FLEMENTA.
turbat) moretur uniformiter in directum: Dico figuras quatuot,
nempe ssc, epc, illam quam S describit circa r spectatum tanquam
immotum, ee illam quam e cirea s similiter spectatum describit.
esse inter se smiles.
Ononiam 5 e P eadem anent,
manebit (durante motu) ratio inter
CD _E CS; quippe, ex natura centri
Graritatis, eadem cum ratione COr-
Porum S ec P: cumque ansuli Pcp
ses sint ubique aequales, (quia c est in
recta jungente corpora,) erunt fIgura
5SC, Dp C Timiles. Figura enim P p C, SsC similes ommino funt,
quas recta p cs, circa punctum c motu angulari lata, describit seu
verrit, dummodo quoris momento eadem sit ratio inter cp et c)
GuX IIItCF CP EE CS. RursUS, quoniam ubique datur ratio inter sc
et cp, componendo datur ratio inter (p et cp, e linea p cs recta
manet: ec igitur (per hactenus dicta) secta cp circa punctum c, e
recta (p circa punctum s spectatum tanquam immotum, similes
describunt fisuras. POrro Fisura, quarum una describitur d p cir-
cum shabitum pro immoto; altera ab s circa p pariter proimmoto
spectatum, similes ex omnino aeguales unt, (ut in Opticis demon-
StratuT, quia sp tum magnitudine tum positione eadem est cum ps.
Ouare quatuor fisurx proposta similes sunt. 9. L. D.
EROPOSTTIO LI.
Cora duo S viribus quibusvi: Je maluo canant, e in-
terea revolvant at circa eravitatis centrum commune c: dico
feuris. Gaas corpora su nu describunt crreum je muluo posse sieu-
ram similem s aequatem circum corpus alterutrum mmotum, vir
bus iisdem, aeftiol.
puncta set p esse loca quaeris ad libitum, ad quae corpora s et P si-
mul perreniunt. Intellisatur recta se p sibi Parallela moveri, do.
nec punctum sconeruat cum s, acque hoc fieri in omnibus punctis
Correspondentibus currarum SC, PR.
Patet, appulso (ad s, altorum rectae
Posito enim OrbitaseR, 50 primo circa immorum c describi, et
Venturs au _ PurCcuM in CurVa PX,
SPlic Parasictus a extremum per-
quam corpus e circas describeret, s
(SIMMOTO MaHenCC) e circa illud re-
volveretur, attractum eadem vi, qua
elcus corpora le mutuo pelva.
Lramlatio parallela reccu pp nullant
a viribus, quibus corfora le u
acctasunt, Mucacionem inaucit. Sea edue e x est linea, quam e
la 6 canquam  peclau btebi: sic enim revera
ltt