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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 284, page id 1066518432:0312
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284 DE V ERTBUS EY MIOTTBUS CORPORUM. L IB. II.
EF in aere absolrie, reperietur generaliter AN. sda: PF -NF.
Nam linea deferens NVO absolric moru suo sequabili et relocitate
ANI spatium ANV. sda: P F tempore sda: P. F, et mobite M in linea
deterente spatium AP.
S CH O L IO N.
490. Si reliltentia mcds absoluta in omnibus spatii percurrendi
punctis eadem astumatur, linea PFO erit recta ipsi NO vel AO
Parallela; ec scala celeritatum NVDO Parabola erit. Nam momen.
cum vis acceloratricis PF AE hoc caTU NP. PC =DE. ad, ee omnia
NP. De hOC CA NP. NVE aequalia omnibus DE. da seu :DF, hinc
2NIP. NE =DF, ergo NDO est parabola, cujus parameter eAt
ENP.
Flinc, quia ANE = sad: EF = sad: N P, CrIE HNE =DF: NP =
DE=: DB. NP =ZNP. NE: DE. NP =ZNE: DE. HinC NA. sad:
FF SCU NA. FNP = 2AN. NE: DE, ee spatium absolutum, quod mo-
bile in medio hoc absolute reliltente tempore 2VVF: DE transmit-
TIL, CxIE NA. FNE =NE =ZAN. NB: DE = NE = (2AN =DF.)
NE: DE = (2VA. DE -DE~): 2NP.
Celeritas vero mobilis, clapsO FOMPOrC DE: NP vet ZNE: DF,
residua erit BD, ut jam Cupra (5. 4.88.) dictum. Propterea in ista
hypothesi mobile M celeritate AN impulsum tempore AN: NP ad
quietem redigetur. Flaec probe consentiunt cum iis, quae Cl. Varignon
Probl. III. CoroII. I. Act. Acad. RC8. Scient. 1707. d. 13. AU8. di-
verla tamen methodo, tradidit.
Ebi vero reistentia medii respectira obtinet, atque adeo resisten-
tixe aeris ab ejus densitate et relocitatibus mobilis pendent, ip(x
E F semper aliquam relationem habebunt cum lineis BD velocita-
tum mobilis in aere repraesentatricibus, ut ex sequentibus dilucide
patebir.
LOlOoIILVI LEMMa
18. 1.9. 49I. Pxhibens nonnullas locarithmica proprietates deinceps adhiben-
das.
T. Elementum cujusque ordinatae logarithmica est ad ipsam Or-
dinatam ut elementum axis ad subtansentem log- mica.
Sic enim FII ordinata quaecunque 108 micx NHIP, cujus subtan-
gen