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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 331, page id 1041163592:0365
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PRINCIPTA MAZHEMATICA.
ROPOSTTIO XLI. TTIEOREMA ZXXIII.
Morus omnis per Fluidum propazatus diverrit a recto tramite
in spatia immota.
Cas. L. PrOpASCtuE motus a puncto A per Foramen BC, Per
Bacque (s sicri Porcst) in spacio conico BCQ P, Secundum li-
neas rectas diversentes a puncto C. EE ponamus primo quod
motus ilte sic undarum in superticie stagnantis aquae. Sintque
des fe. hin kb, eec. undarum Cingularum parres altistima, valli-
bus toridem incermediis ab invicem distinctae. Igitur quoniam
aqua in undarum jusis alcior est quam in lluidi partibus immo-
eis L. K, NVO, aeuet eadem de jugorum terminis e, 5, 1, l, dcc
d, f. B3 k, ecc. hinc inde, vertus RL. e NVO: et quoniam in un-
dlarum rallibus depressior cst quam in Eluidi parcibus immoris
RF, NO; desuet eadem de partibus illis immocis in undarum
valles. Dertuxu priore undarum juga, polteriore valles hine
inde dilatantur e propagantur versus ILL. _ NO. FE quo-
niam motus undarum ab A vertuS F O) AE per continuum de
Auxum jugorum in valles proximoss adeoque celerior non eA
quam pro celeritate descensus; et descensus aquae, hinc inde, ver-
TuS KL. et NO eadem velocitate peragi debet; propasabitue
dilacacio undarum, hinc inde, verlus RL, ex NVO, eadem velo-
citate qua undae iplae ab A vertus P  recta progrediuntur.
Proindeque spatium torum hinc indes vertus RL. e NO, ab
undis dilatatis rfer, shis, thlt, omnv, _c. Occupabitur.
d. F. D. Hlaec ita se habere quilibet in aqua AaGnanEC eXDC.
riri potelt.
Cas. 2. Ponamus jam quod des Fs, his kl, mn designent pul-
Tus a puncto , per Medium Flalticum, successire PropaSaTOS.
Pulsus propasari concipe per successiras condensationes de rare-
factiones Medii, sic ut pulsus cujusque pars densissima sphaericam
occupet superticiem circa centrum A descriptam, ee inter puIsus
successiros aequalia intercedane intervalla. Delignene autem linex
des f5. hin kb ec. densillimas pulsuum partes, per Foramen BC
DrOPASATaS. Ec quoniam Medium ibi densius cA quam in spatiis
hinc inde vertus R L. dc NO, dilatabie sese tam versus spacia illa
HEL, NO uerinque sica, quam versus pultuum rariora incerralla;
coqu0
L. IBF H
SECVNDVS.
MITITHEITMHIHHEIAIHIHII