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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 358, page id 1066518432:0386
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358DE V ERIBOS ET MIOTIBOS CORPORDH. LIB. II.
e a vi AC auferenda est vis aquae resistentis AII (constr.) 6I
venti efficacia ad narim morendam aequipollebit duabus viribusre-
iduis AI _E FCF; unde, quia FC nulla contraria ri retunditur, id eo
suum efectum edet, propterca ri FC, juxta alteram AI, quae mo-
tum naris accelerat, naris circa se iplam conrertetur secundum or-
dinem licerarum R, F, C, dum ea progressiro motu Fertur in re-
eta Aa, croo haec linca non es iter naris manens, contra hypo.
thesIn.
C OR O L L A R Y U M.
625. Ldeoque ex lcua inectone imprectionum venti in relis
innotelcere potest media directio aquae nari reliltentis, ec vicever-
Ta. FF ex aquae reistentis media directione ope ProDOT. L. Lib. hu-
jus secundi, inrenietur iter naris permanens. Medixe vero directio-
nes venti rela inclantis obtineri porsunt eo fere modo, quo 5. 474.
ostensum ect.
PROPOSTTTNMRZVIII. PROBLEMA.
Fi8. 142: 626. Datis directione e celeritate venti velo DAF. impincentis, at-
que adeo media directione veli AM, definire celeritates navis BDC iti-
nere permanente Ra in aqua staenante seu mari latae.
I. Ouia
secundum hypothesin) AM est media directio renti re-
IODRE impinoentis, ejus prolongatio AO (5. 624.) dabit mediam
directionem aquae in directione al, vel huic parallela nari BDC
allabentis, adeo ut, durante motu naris, angulus MAa constanter
idem mancat.
SinE ergO ratiO AA: AMI, seu sinus compl. ansuli NIAK ad sin.
compl. ang. aAK, ut b ad a; e celeritas renti, juxta mediam dire-
ctionem AM initio motus, a celeritas vero naris in termino a cu-
juoris spatii emensi Aa, W; adeoque au: b exponet celeritatem jux-
ta AM, qua scilicet naris insequentis renti relocitati initiali sele
subdueie, ut adeo celeritas, quacum in velum agit, juxta AMI eo
momento, quo naris in suo itinere relocitatem u, acquisirie, Futu-
ra SIE a =, au: b; adeoque (a, = au: b)2. M exponet imprestionem
venti in relo secundum AM, ubi M inveniri potest opc 5. 474.
Aquae vero resistentis imprestio, secundum directionem AO, est
Tuu, ubi N Per ProPOI. L. etiam inreniri potest, sinon alsebraice