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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 218, page id 1041163592:0252
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218
PHILLOSODMTSE NATORALIS
DE Moro datur latus rectum ParabOlX, uE
Convonon notum eAt. EC sumendo 2D F
ad lacus illud rectum, ut est vis
graricaris ad vim relistentiae,
datur D F. Dein Cecando DC
in A, UE AIE C P X AC ad
D P X D A in eadem illa rati-
one graritatis ad resiltentiam,
dabitur punctum A. Ec inde
dacur C urra DraF.
CorOl. 5. EE CONETA, ( daFUF
CUrVa Dr aF, daBIEUE XC Ve-
locitas corporis ex resistentia
Medii in locis fingulisr. Nam
ex data rationc C P X AC ad
D P X D A, daturtum relicten-
cia Medii sub initio motus, tum
latus rectum Parabolae: et inde
datur etiam velocitas sub initio
motus. Deinde ex longitudine
eansentis rL, datur ex huic
proportionalis velocitas, ec ve-
locicati proportionalis relcter
tia in loco quoris r.
Corol. 6. Cum autem longitu-
d0 2D F Sc ad latus rectum
Parabolae uc graritas ad resictentiam in D; ec ex aucta velocitate
augeacur resistentia in eadem ratione, at latus rectum Parabolae au-
geatur in racione illa duplicata: patet longicudinem 2D F augeri
in ratione illa simplici, adeoque relocitati semper proporcionalem
ese, neque ex angulo CD P mutato augeri vel minuis nisi mu-
tetur quoque velocitas.
Corol. 7. Onde liquee methodus decerminandi Curvam D ra F
ex Ptixnomenis quamproxime, et inde colligendi resistentiam de
relociratem quacum corpus projicitur. Projiciantur corpora duo
similia ec aequalia eadem cum velocirate, de loco D, secundum
angulos dirersos (. D P, cDp (minuscularum licerarum locis sub-
intellectis) ex cognoleantur loca f, f, ubi incidune in horixontale
planum DC. Tum, assumpea quacunque lonsitudine pro D F
vel D p, fingatur quod relistentia in D sit ad gravitatem in ra-
tionc