Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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Corol.
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2. Et undarum majorum vel minorum ve</
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locitas augebitur vel diminuetur in ſubduplicata
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ratione latitudinis. </
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LIBER
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SECUNDUS.</
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>Hæc ita ſe habent ex Hypotheſi quod partes
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aquæ recta aſcendunt vel recta deſcendunt; ſed
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aſcenſus & deſcenſus ille verius fit per circulum,
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ideoque tempus hac Propoſitione non niſi quam
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proxime definitum eſſe affirmo. </
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PROP. XLVII. THEOR. XXXVII.
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Pulſibus per Fluidum propagatis, ſingulæ Fluidi
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particulæ, motu reciproco breviſſimo euntes &
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redeuntes, accelerantur ſemper & retardantur
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pro lego oſcillantis Penduli.
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>Deſignent
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AB, BC, CD,
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&c. </
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>pulſuum ſucceſſivorum
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æquales diſtantias;
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ABC
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plagam motus pulſuum ab
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A
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verſus
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B
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propagati;
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E,
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F, G
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puncta tria Phyſica Me
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dii quieſcentis, in recta
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AC
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ad æquales ab invicem di
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ſtantias ſita;
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Ee, Ff, Gg,
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ſpatia æqualia perbrevia per
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quæ puncta illa motu reciproco ſingulis vibratio
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nibus eunt & redeunt;
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loca quævis inter
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media eorundem punctorum; &
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EF, FG
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lineolas
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Phyſicas ſeu Medii partes lineares punctis illis in
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terjectas, & ſucceſſive tranſlatas in loca
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&
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ef, fg.
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Rectæ
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Ee
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æqualis ducatur recta
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PS.
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Biſecetur eadem in
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O,
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centroque
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O
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& intervallo
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OP
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deſcribatur circulus
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SIPi.
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Per hujus cir
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cumferentiam totam cum partibus ſuis exponatur
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tempus totum vibrationis unius cum ipſius parti
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bus proportionalibus; ſic ut completo tempore
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quovis
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PH
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vel
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PHSh,
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ſi demittatur ad
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PS
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perpendiculum
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HL
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vel
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hl,
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& capiatur
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E
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æqua
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lis
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PL
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vel
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Pl,
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punctum Phyſicum
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E
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reperiatur </
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