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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 282, page id 1066518432:0310
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282 DE VLRTBUS ET MOTIBUS CORPORUM. LIB. II.
C OR OL L A R Y U N.
485. Si jam elementum temporis, quo spatiolum du Transmitcitur;
dicacur at, exit dt = du: 8 Fr. Nam, Guia (5. 728.) dt = dX: H, ec
(8. 484.) Sda = rdx = udu, erit dt (= d N: W1) = du: 8 F r. Adeoque
t=fdu: S Fr, ubI F SgnIEICaE TempUS, Quo GrarO motu a quiete in-
cepto spatium a perlabitur, vel tempus quo grare alcendens com-
plementum spatii actu jam transmisti alcendendo conticere posset;
unde, si tempus, quo maxima altitudo A, quam grare data celeritate
in altum projecti emetiri potest, dicatur P, quantitas Y = + CxpO
net tempus, quo mobile spatium ascendendo actu absolvit.
S C H O F YO N.
486. Cum nulla adhuc attentio habita sit ad originem resistenti
medii, an pendeat a celeritatibus mobilis actualibus, an vero aliun-
de, latis manifettum eA, in praecedentibus canonibus generalibus con-
cineri leses motuum rariatorum pro quacunque resittentixe medii.
ablolucae vel respectirae hypochelt.
PROPOoV. BEMMA.
487. Motus Dariati corporis in aëre quacunque lece resistente ex mo-
tu primitive uniformi sunt iidem, qui resultarent ex motu communi ac
uniformi linea mobile secum deferentis, et ex motu proprio mobilis in li-
nea deferente, orto ab altisione aeris corpori in linea deferente delato.
Mobile MI incipiat moreri ex NV versus O relocitate data AN,
ita quidem, ut si in racuo incederet, motus pertecte aquabilis es
(et; Sed quia in medio resistente Fertur, mobilis nOstri MOTUS in re-
eta NTO continue variatus existet, ita ut semper magis magisque
lansuelcat. Probari debet hunc motum rariatum cundem fore cum
eo, qui resultaret ex motu communi linea NTO CeleritALC AN CXNY
versus Oxquabili motu latx, atque mobile M secum abripientis,
e ex motu proprio mobilis Al in deferenti linea DO, Ced COntra-
rio motui requabili linex deterentis, tendente scilicer ex N vertus O,
UEPOFC OrtO ex continuo allapsu aeris mobili MI, quod (secundum
hypothesin) ultro citroque in linea deferente liberrime moreri pore
suxponitur, absque ullo impedimento ratione motus communis Peu
motus linex deferentis.