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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 298, page id 1041163592:0332
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298
PHILOSOPMILA NATORALIS
De Moro Cistim (per motus Legem tertiam) aequalem ab eadem reactionem
Coneonom. patiantur, hoc est, aequaliter relictantur: manifeltum est etiam
quod in ejusdem densitaris Eluidis Rlasticis, ubi relocissime mo-
ventur, aequales sint eorum relistentix quam proxime; sive Eluida
illa ex parciculis crassioribus constent, sive ex omnium subcilissi-
mis constitmantur. P.X Medii subcilitate resstentia projectilium ce.
lerrime motorum non multum diminuitur.
Corol. 6. Flxc omnia ita se habent in Fluidis, quorum vis Vla-
Rica ex particularum viribus centrifugis originem ducit. Ouod si
vis illa aliunde oriatur, veluri ex particularum expansione ad instar
Lanae vel ramorum Arborum, aue ex alia quavis causa, qua MOLUS
parcicularum inter se redduntur minus liberi: resictentia, ob mi-
norem Medii duidicatem, crit major quam in superioribus Co-
rollariis.
PROPOSITIO ZZXIV. TTIEOREMA XXVIII.
Si Clobus e Cplindrus aequalibus diametris descripti, in Medio
raro ex particulis aequalibus  ad aequales ab invicem distan-
tias libere dispositis constante, secundum placam axis Cylindri,
aequali cum velocitate moveantur: erit resistentia Clobi duplo
minor quam resistentia Cylindri.
Nam quoniam actio Medii in corpus eadem cs (per Legum
Corol 5.) Sire corpus in Medio quielcente moveatur, sive Medii
particulae eadem cum velocitare impingane in corpus quiescens:
consideremus corpus tanquam quielcens, et rideamus quo imperu
urgebitur a Medio movente.
Delignet isitur AB K ICOr-
DUS SpharICUM CCNETO C SC
midiameero CA delcriptum;
ec incidant particulae Medii
data cum relocitate in cor-
Dus illud Sphaericum, secun-
dumrectas ipsi AC Paralle
laS: Sieque FB ejusmodi
recta. In ea capiacur L B
semidiametro CB equalis,
_ ducatur B D quae Sphaeram tangat in B. In  se BD de
NIEEAMEUE