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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 287, page id 1066518432:0315
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DE VTRIDDS ET MIOTEBVS CORPOROM. LIB. II. 287
A PV T XI.
De motibus Corporum, quibus aer resistit in ratione cele-
ritatum mobilis.
PROPOSETIO LNTIT PHEOREMA.
495. CPatium, quod mobile quoddam in aere, juxta proportionem cele- FiB. 22G
Dritatum ejus actualium, variato motu ex primitive uniformi
certo quodam tempore transmittit, exponitur eadem linea; qu’a velocita-
tis mobilis initialis pars hoc tempore amissa repraesentatur. Et tempus
absolutum, quo dictum spatium absolvitur, exponi debet per locarith.
mum rationis, quam habet velocitas initialis mobilis ad velocitatem ab-
solutam ejusdem elapso hoc tempore, applicatum ad subtancentem illius
locarithmicae, ex qua praedictus locarithmus desumtus est.
Sic M mobile in plano quodam horizontali celeritate AN impul-
Tum, juxta rectam NO, in qua deinceps equabiliter incederet ce-
leritate eadem ANI, SI in VaCUO FCrTCtUT, Sed quia in aerO juXta prO-
portionem celeritatum suarum resistente moretur, Singulis momen-
tis aliquid de sua relocitate actuali decedet. Ip(I vero motus ODC
propolitionis 55. hujus secundi libri Facile determinaneur; quando-
quidem, juxta hanc proposicionem, iidem sunE motus rariati ex pri-
mitire unitormi in aëre resistente, qui relultarent ex motu commu-
ni alicujus linex deterentis, e ex motu proprio mobilis in hac de
Ferenti linea orto ab appulsu aeris corpori in linea deferente delato.
Sic ergo NO haec linca deferens celeritate mobilis initiali AN,
aequabili motu tendens rertus 1, et post aliquod tempus mobile M
in hac linea deferente spatium NE percurrisso intelligatus, acque
in ea celeritatem DF exacto dicto tempore acquisirisse, quo Aet,
ut relocitas ejus initialis AN reducta sit ad relocitatem actualem
(qua Scilicet in aCrC MOVCTUT) BD; hac ergo relocitate aer mobili
allabitur ex resistentia est ut haec celeritas, ergo impressio seu soli-
citatio acceleratrix mobilis in linea deferenti, quae generaliter eAPF,
IaM CTIE BD. PFOPECrea Curra PFO erit Similis ex rqualis curVX
ADO, adeo ut tantum (5. 4 88.) determinandum restet, quaenam
SIE Curra NDO, ut in ea BD. Bb TOu F F. De sequetur rec 10 eaa lcu
ED. ad. Vbi De vel Bb eAt elementum spatii NE, ec ad elementum
Ordinatae DF.