Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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175
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026/01/207.jpg
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cum deorſum mobile proiicitur, quàm cum ſua ſponte ex eadem altitu
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dine deſcendit; certè ni fallor cum ratio demonſtratiua pro hac ſen
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tentia faciat, non dubitaui ampliùs priorem ſententiam immutare. </
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<
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<
s
id
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">Porrò ratio, quæ pro hac ſententia facit, remque ipſam euincit, talis
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eſt; </
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<
s
id
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N1B8C1
">certum eſt impetum violentum deſtrui à naturali aliquando in ma
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iori, aliquando in minori proportione, vt conſtat ex dictis; </
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<
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id
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">illa autem,
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ſeu maior, ſeu minor proportio aliam regulam non habet præter illam
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quam toties inculcauimus, id eſt impetum deſtrui pro rata, id eſt qua
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proportione eſt fruſtrà, id eſt qua proportione eſt minor motus eo, qui
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eſſet ab vtroque impetu ſi ad
<
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eãdem
">eandem</
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>
lineam vterque determinatus eſſet
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atqui cum proiicitur mobile deorſum, vterque impetus ad
<
expan
abbr
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eãdem
">eandem</
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li
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neam eſt determinatus; </
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<
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id
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">igitur nihil motus deeſt per Th.138.l.1. igitur
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nihil impetus eſt fruſtrà; igitur nihil impetus illius deſtruitur. </
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<
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id
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">Quod dictum eſſe velim non conſiderata medij reſiſtentiâ, quæ certè
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aliquid impetus deſtruit, quod tamen inſenſibile eſt in medio libero, pu
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tà in aëre; </
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<
s
id
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">ſi enim inſenſibilis eſt hæc reſiſtentia in motu naturali; </
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<
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id
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N1B8F3
">dum
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mobile ſit eius ſoliditatis, quæ ſuperet facilè vim aëris; certè etiam in
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ſenſibilis eſt in motu proiectorum, præſertim in mediocri ſpatio, eſt
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enim par vtrobique ratio. </
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>
</
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<
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<
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id
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">Equidem fateor in longiſſimo ſpatio poſſe tandem deſtrui totum im
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petum violentum; </
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<
s
id
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">nam ſi aliquid in dato ſpatio deſtruitur; </
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<
s
id
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">igitur in ma
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iore piùs deſtruitur; </
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>
<
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id
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">atque ita deinceps, donec tandem totus deſtructus
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ſit; at verò in iis altitudinibus, ex quibus corpus deorſum proiicere poſ
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ſumus, vix quidquam facit prædicta reſiſtentia. </
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<
s
id
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">Nec eſt quod aliquis dicat ab hac reſiſtentia non deſtrui impetum
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naturalem in motu naturaliter accelerato, vt dictum eſt in ſecundo lib. </
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Igitur nec deſtrui violentum; </
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<
s
id
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">nam qua proportione creſcit medij reſi
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ſtentia, creſcunt vires impetus, qui perpetuò augetur; </
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>
<
s
id
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">vnde cum
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remaneat ſemper eadem reſiſtentiæ proportio ſicut primo tempore mo
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tus impedit hæc reſiſtentia, ne tantillùm impetus producatur; </
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>
<
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id
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">ita ſecun
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do tempore impedit ne tantillùm æquale producatur; </
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>
<
s
id
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">igitur nihil pro
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ducti impetus ab illa deſtruitur propter augmentum continuum: </
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<
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id
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">at ve
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rò cum impetus violentus non intendatur; </
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<
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id
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">certè ſi tantillùm illus perit,
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primo vel ſecundo inſtanti motus, propter medij reſiſtentis, tantillùm
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æquale ſingulis temporibus æqualibus deſtruitur; igitur cum infinitus
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non ſit poſt longiſſimum ſpatij tractum totus tandem deſtruetur vio
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lentus ſolo ſuperſtite naturali. </
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</
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<
s
id
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">Hinc fortè ſagitta ex notabili altitudine minùs ferit; </
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>
<
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id
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">quia materia illa
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lignea, & plumea, ex qua conſtat, multùm ab aëre reſiſtente accipit de
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trimenti: </
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<
s
id
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">adde quod licèt initio deorſum rectà emittatur; </
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<
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">attamen mini
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mo aëris flatu declinat tantillùm obliqua; hæc verò obliquitas maximam
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ictus vim infringit, & conflictus impetuum quaſi ipſum ictum diſtrahit,
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quod facilè probabis, ſi modico ferè tactu cadentem perpendiculariter
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ſagittam à ſuo tramite deturbes. </
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</
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<
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<
s
id
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">Dices, etiam in glande è tormento exploſa hoc ipſum cernitur </
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</
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</
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</
text
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</
archimedes
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