Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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184
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026/01/216.jpg
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Theorema
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89.
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<
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Hinc ſenſibiliter ex aſcenſu & deſcenſu fit
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<
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integra Parabola
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; </
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<
s
id
="
N1C0A4
">nam pro
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iiciatur ex L in A, eo tempore, quo nauis mouetur ex L in F, certè ſi
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lb
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tempus illud diuidatur bifariam prima parte mobile percurret LI tri
<
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plam IK in verticali, & LM ſubduplam LF in horizontali; </
s
>
<
s
id
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N1C0AE
">igitur erit
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in G; </
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<
s
id
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N1C0B4
">ſecunda verò parte temporis in verticali percurrit IK, & MF in
<
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horizontali; </
s
>
<
s
id
="
N1C0BA
">igitur erit in D; </
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>
<
s
id
="
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">præterea ſi accipiantur duæ aliæ partes tem
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poris æquales; </
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>
<
s
id
="
N1C0C4
">prima in perpendiculari deorſum percurret DE æqua
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lem LK, & in horizontali DO; </
s
>
<
s
id
="
N1C0CA
">igitur erit in N; </
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>
<
s
id
="
N1C0CE
">ſecunda vero in per
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pendiculari percurret NQ triplam NO, & NR in horizontali; igitur
<
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erit in S; </
s
>
<
s
id
="
N1C0D6
">ſed hæc eſt Parabola; </
s
>
<
s
id
="
N1C0DA
">nam vt ſe habent quadrata applicatarum
<
lb
/>
v.g. EG, FL, ita ſagittæ DE, DF; dixi ſenſibiliter, nam vt ſuprà mo
<
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/>
nui eſt alia linea, quæ tamen proximè accedit ad Parabolam. </
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Theorema
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type
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90.
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<
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type
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Hinc ferè recedit mobile in idem punctum nauis, è quo ſurſum proiectum
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eſt
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; </
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<
s
id
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">dixi ferè, quia non eſt omninò Parabola; immò ſupponitur motus
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horizontalis tùm nauis tùm mobilis omninò æquabilis, à quo tamen
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tantillùm deficit, ſed in tam breui tempore non eſt ſenſibile. </
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Theorema
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91.
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<
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Hinc quantùm initio detrahit horizontali verticalis intenſior, & ſub finem
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remittit, tantùm initio remittit horizontali naturalis tardior, & ſub finem ve
<
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locior detrahit
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; </
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<
s
id
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">ſic in aſcenſu linea curua LD, initio parùm recedit à ver
<
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ticali LK, & multùm ſub finem; in deſcenſu verò curua DS accedit
<
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propiùs ad horizontalem DT, à qua multùm recedit ſub finem. </
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Theorema
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92.
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<
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id
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type
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"/>
Hinc eadem, quâ mobilis proijcitur ſurſum è naui mobili, recipitur manu
<
emph.end
type
="
italics
"/>
;
<
lb
/>
probata centies experientia; idem dico de ſagitta, arcu emiſſa, glande
<
lb
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tormento exploſa, &c. </
s
>
<
s
id
="
N1C14A
">ſic dum demittis manu in eadem naui aliquod
<
lb
/>
graue deorſum, eadem ſemper à te diſtantia cadit; ſic in rhodis currenti
<
lb
/>
bus poma odorifera, ſurſum modica vi projecta eadem ſemper excipiun
<
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/>
tur manu, perinde atque ſi currus ipſe ſtaret. </
s
>
<
s
id
="
N1C154
">Ita prorſus ſe res habet
<
lb
/>
dum inſidens equo etiam perniciſſimè currenti ludis huiuſmodi moti
<
lb
/>
bus; </
s
>
<
s
id
="
N1C15C
">quorum nullum prorſus diſcrimen obſeruabis in naui, ſiue ſtet ſiue
<
lb
/>
moueatur ſolito curſu; </
s
>
<
s
id
="
N1C162
">ſi enim eadem velocitate, qua vel emiſſa ſagitta,
<
lb
/>
vel glans exploſa moueretur; haud dubiè maximum diſcrimen inter
<
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cederet. </
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>
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Theorema
<
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type
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93.
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</
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Hinc ſi pilam projectam è naui mobili continuo intuitu proſequaris ſurſum
<
lb
/>
rectà ferri iudicabis
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1C185
">quippe cum perpetuò mutes perpendicularem pro
<
lb
/>
pter motum nauis, in eadem ſemper eſſe putas, in qua pila ſemper
<
lb
/>
occurrat; </
s
>
<
s
id
="
N1C18D
">licèt reuerâ qui ſunt in naui immobili rem aliter eſſe </
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>
</
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</
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