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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 314, page id 1041163592:0348
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14
PHILOSOPHISE NATVRALIS
Dx Moro eum FG, describendum aC ylindro
Conronon. cadente dum velocitacem suam ac.
quirie, uE HIC ad = AB. Sinc eriam
CF _ D F arcus alii duo Para- F
bolicis axc C D et latere recto
quod sc prioris laceris recti qua-
Truolum descripri; ee convolutione tgurxe circum axem L. SgC.
neretur Tolidum cujus media pars AB D C sic Cplindrus de quo
asimus, ex Parres extremae AB F. ec CD P contincant parces Auidi
inter se quielcentes et in corpora duo rigida COnCreTAS, qua CY
linciro verinque tanquam CapuE _ cauda adhRTCAHE. EE Colidi
F ACF D B, secundum longitudinem axis sui F F in PAFECS Ver-
sus F. progredientis, relistentia ca eric quamproxime quam in hac
Propolitione descripsimus, id est, quae rationem illam habet ad
vim qua torus Cylindri motus, interea dum lonsitudo 4 AC moru
illo uniformiter continuato describatur, vel colli possit vel generari,
quam densitas Fluidi habet ad densicatem Cplindri quamproxime.
Et hac vi Resictentia minor esse non porest quam in ratione 2 ad 3,
per Corol. 7. PrOD. XRXVI.
L F MM A V.
Si Cxlindrus, Sphaera es Sphaerois, quorum latitudines sunt aequa
les, in medio canalis Cylindrici ita locentur successive ut eo-
rum axes cum ave canalis coincidant: haec corpora fluxum
aquae per canalem aequaliter impedient.
Nam Spacia inter Canalem ex Cplindrum, Sphaeram, ex Sphaeroi
dem per quae aqua transit, lune aequalia: ec aqua per xequalia (pa
cia aequaliter cransiE.
E F MM A VI.
lisdem positis, corpora praedicta aequaliter urrentur ab aqua per
canalem Auente.
Patet per Lemma v ec Mocus Lesem tertiam. Aqua vriguc a
COrPOTA i se muruo aequalices aBuNE.