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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 310, page id 1041163592:0344
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PHTLOSOPMLE NATORALIS
LE MM A IV.
Cylinari, qui secundum loncitudinem suam uniformiter progreditur,
resistentia ex aucta vel diminut a ejus loncitudine non mutatur;
ideoque eadem est cum resistentia Circuli eadem diametro de
scripti e eadem velocitate secundum lineam rectam plano ip-
sius perpendicularem proeredientis.
Nam latera Cylindri morui ejus minime OppOnuntur: d CY.
lindrus, lonsitudine ejus in intinitum diminuta, in Circulum
VeTFIEUT.
PROPOSITIO ZXXVII TTTEOREMA ZZIZ.
Cylindri, qui in fuido compresso infinito es non elastico secundum
loncitudinem suam uniformiter proereditur; resistentia quae ori
tur a maenitudine sectionis transversae, est ad vim qua totus
ejus motus interea dum quadruplum lonsitudinis suae describit,
vel tolli possit vel generari, ut densitas Medii ad densitatem
Cylindri quamproxime.
Nam A vaS AB DC Fundo suo C D superticiem aquae sagnan.
EiS tanGAL, de aqua ex hoc vase per ca-
nalem Cplindricum F FTS horizonti 
perpendicularem in aquam stagnantem
eMuat, locetur autem C ircellus F  ho-
rixonci parallelus ubiris in medio ca
nalis, de producatur C  ad K, UE SIC
AR ad C K in duplicata ratione quam
habet excestus orificii canalis P F Cupra
circellum F D ad circulum AB: mani
fectum est (per C a(. 5, C aC. 6, _E C Or. 7.
ErOD. HXXVF.) quod relocitaS aqUX Eran
leuntis per spatium annulare inter cir-
cellum et lacora ralis, ca exit quam aqua
eadendo es casu suo describendo alcitudinem (C. vel LG acquirere
Potca.
1C
DE NOTD
EDRPOROM