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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 311, page id 1066518432:0339
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DE VERIBDS ET NIOTIDOS CORPOKDM. L IB. II. 3FL
C OR OL L A R L U N VI.
538. Adeoque, s celeritas initialis TR terminali IM par Fuerit,
erit altitudo in aëre ad altitudinem in racuo ablolrendam, vel
2. IMO ad TR, sicur 2MO ad IM, id cA, Sicut 108. (2. IM: IM)
ad IM, hoc eAt, licut l0g- us rationis dupla ad lubtansentem l08- miCX,
rel etiam (5. 368.) uc quadrilincum hrperbolicum alterutri alrm-
peotxe adjacens, cujus ordinatae lunt in ratione dupla, ad rec. lum
hyverbolae inter asimptotas. VF Celeb. Flugenius (P25. 274. Dis.
De Causa Gravitatis) ine demonstratione asseruit.
C OR OLE A R L U M VII.
539. Celeritas initialis mobilis spatium FM alcendendo deleri-
bentis, est ad celeritarem, quacum denuo in terram recidit, SICuE
tangens anguli IMK ad ejusdem sinum. Nam, quia in Aguris 126.
ec 128. Spatia ME utrinque Tunt (secundum hypothesin) aequalia,
erit ratio ON: TM, in (9, 126. PCu LS: L.M = in A9. 128. TM: NO
=RS: MR; adeoque triangulum rec- lum L. MS in A5. X26. eAt simile FiB. 126,
triangulo RMS, adeo ut anguluSIML in H8. 126. =IMR, acqui IR X 128.
est tangens et MS in Ag. 126. Sinus unius ejusdemque anguli IM K vel Fis. 126.
TML, erGO _C.
Fisce multa alia potuissent addi corollaria, sed breritati consu-
lens calia Lectoris industrix ex praecedentibus elicienda relinquo.
C APVY AVII.
De motibus Corporum n are resistente. Part fi propot
tionem celeritatum odtis, partum etiao juxta.
duplicatam proportionem earundem.
540.Y
c lclelalua aDocheMs IIIS HulaIS COAreNIE, quO-
Lrum parces nonnihil instar rilci coherenc: etenim, lita-
le Auidum eanquam medium concipiamus mobili trajiciendum, ili-
cd apparebit, ad separandas ejusmodi riscidi Auidi partes, aliquam
rim adhibendam esse, divertam ab ca, quae in mobili tollitur ab
allaptu continuo particularum Auidi; ex hanc rim separatricem par-
tium Duidi proportionari quantitatibus Auidi crajiciendi. Opantita-
ces vrero iplae Duidi crajiciendae relocicatibus mobilis. Proxortiona-
les