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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
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3TODE VTRIBOS ET MIOTTDUS CORDOROM. LIB. II.
C OR OL L A R X U M FL.
534. elocitas initialis mobilis suam maximam in aëre altitudi-
nem CMI ablolrentis, eAt ad celeritatem initialem, qua mobile pari
tempore suam in racuo maximam alticudinem conticeret, ut tan-
gens IR ad arcum IR. Nam, si corpus in racuo celeritate initiali
AM ascendie, tempore IK: IMI id (5. 8. T4.L. F5T.) alcendet quousque
Potest, sed hoc ipso tempore IR: IM expositum anguloKMI, alcen-
dec in aere spatio FM, celeritate initiali EC vel IR. ErSO, etC.
Atque hoc consentit cum coroII. 4. Prop. 9. Lib. II. Princ. Phil. NVat.
Math. Ccl. Nertoni.
C OR OL L A R L uM TII.
525. LCmpuo, quo oosle suam in aëre altitudinem, ad quam
celeritate initiali IR perrenire potest, absolrit, eAt ad tempus, quo
in racuo suam altitudinem, celeritate initiali existente eadem IR, ab-
TOlreret, Sicut arcuS IK ad tansentem IR, seu, quod idem cA, ut
sectOr IMK ad triangulum IMK. Nam tempus alcensionis in aere
CA angulus IMK, Ccu IK: IM, e tempus alcensionis in racuo (d. 15T.)
PR: IM.
C OR OL L A R TUM IV
536. Adeoque, siceleritas initialis, qua corpora in aère de in va-
cuo alcendune, terminalem aequarerie, erie tempus, quo altitudo
illius quod in aëre, ad tempus, quo altitudo ejus, quod in racuo
alcendie, conficitur, ut circulus ad quadratum circumseriptum,
nam, (I TK =TM, CrIE SCCtOF IMR octara circuli e triangulum IMR
octara quadrati circulo circum lcripti pars, adeoque ille ad hoc, ut
circulus totus ad quadratum circulo circumseriptum.
GOR OLL A RFUNV.
537. Soclem adhuc pOsitis, eu M coroIl. III. altitudo, quam mo-
vile in aëre absolrit, est ad altitudinem in racuo percurrendam, ut
duplum rec tum IMIO ad quadratum tangentis IR. Nam (5. 150.)
altitudo in racuo describenda erit IR2: 2IM, ec ME est ad IR: 2IM,
uc duplum rec. lum INO ad IR..
Co.