Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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<
text
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<
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<
chap
id
="
N2136B
">
<
p
id
="
N2163A
"
type
="
main
">
<
s
id
="
N21645
">
<
pb
pagenum
="
275
"
xlink:href
="
026/01/309.jpg
"/>
retur à recta EK eo inſtanti, quo imprimitur impetus; </
s
>
<
s
id
="
N2164E
">haud dubiè per
<
lb
/>
rectam EO moueretur; </
s
>
<
s
id
="
N21654
">quia ſcilicet impetus puncti E determinatus eſt
<
lb
/>
in puncto E ad motum per Tangentem EO; </
s
>
<
s
id
="
N2165A
">& ſi nullum eſſet impedi
<
lb
/>
mentum per rectam EO, moueretur; </
s
>
<
s
id
="
N21660
">atqui ſi ſeparetur punctum E, ceſ
<
lb
/>
ſat impedimentum, vt patet; </
s
>
<
s
id
="
N21666
">nec enim amplius retinetur ex puncto K; </
s
>
<
s
id
="
N2166A
">
<
lb
/>
igitur ceſſat ratio motus circularis; </
s
>
<
s
id
="
N2166F
">igitur motu recto per rectam EO
<
lb
/>
mouebitur; </
s
>
<
s
id
="
N21675
">ſic lapis impoſitus rotæ dum maximo cum impetu vertitur,
<
lb
/>
per Tangentem proiicitur; </
s
>
<
s
id
="
N2167B
">ſic gutta aquæ, quæ cadit in volubilem tro
<
lb
/>
chum etiam diſpergitur; </
s
>
<
s
id
="
N21681
">ſic rota ipſa, cuius aliqua pars præ nimia vi
<
lb
/>
motus diffringitur, illam quaſi proiicit per rectam; </
s
>
<
s
id
="
N21687
">hinc ratio vnica
<
lb
/>
proiectionis quæ fit operâ fundarum; </
s
>
<
s
id
="
N2168D
">ſit enim funda KE vel KL, quæ
<
lb
/>
moueatur per arcum LE; </
s
>
<
s
id
="
N21693
">certè, ſi lapis demittatur in puncto E, lapis
<
lb
/>
proiicietur per rectam LO; </
s
>
<
s
id
="
N21699
">nec enim ad aliam lineam lapis, dum eſt in
<
lb
/>
puncto E, eſt determinatus, niſi ad Tangentem EO, ad quam dumtaxat
<
lb
/>
impetus puncti EA eſt determinatus; in hoc igitur Fundibularij tan
<
lb
/>
tùm inſiſtit induſtria, quâ ſcilicet ſaxum in funda rotatum ſcopum cui
<
lb
/>
deſtinatur, attingat, vt illam Tangentem inueniat quæ à prædicto ſcopo
<
lb
/>
in circulum, quem ſuo motu deſcribit, funda ducitur. </
s
>
<
s
id
="
N216A7
">v.g. ſit radius fun
<
lb
/>
dæ KL hypomoclium K, circulus quem deſcribit funda LEC; </
s
>
<
s
id
="
N216AF
">ſit ſco
<
lb
/>
pus O, ducatur tangens EO; </
s
>
<
s
id
="
N216B5
">certè, ſi vbi funda peruenit in E, dimit
<
lb
/>
tat lapidem, prædictum ſcopum non illicò feriet; </
s
>
<
s
id
="
N216BB
">hinc etiam ratio, cur in
<
lb
/>
naui dum motu recto mouetur facilè conſiſtamus; cum tamen (quod in
<
lb
/>
longioribus illis nauiculis facilè contingere poteſt) ſi circa centrum
<
lb
/>
ſuum nauis vertatur, quod accidit cum vtraque extremitas in partes op
<
lb
/>
poſitas, vel remo, vel pertica pellitur, nec in ca conſiſtamus. </
s
>
</
p
>
<
p
id
="
N216C7
"
type
="
main
">
<
s
id
="
N216C9
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
8.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N216D5
"
type
="
main
">
<
s
id
="
N216D7
">
<
emph
type
="
italics
"/>
Si rota plana in circulo horizontali voluatur, ſitque pondus plano rotæ incu
<
lb
/>
bans, in eo producetur impetus
<
emph.end
type
="
italics
"/>
; vt certum eſt; </
s
>
<
s
id
="
N216E2
">an verò pondus retroagi de
<
lb
/>
beat, præſertim ſi ſit globus, vel aqua; </
s
>
<
s
id
="
N216E8
">an verò per Tangentem proiici,
<
lb
/>
dubium eſſe poteſt; </
s
>
<
s
id
="
N216EE
">videntur enim pro vtraque hypotheſi facere expe
<
lb
/>
rientiæ; </
s
>
<
s
id
="
N216F4
">pro prima quidem, ſi rotetur rota concaua ſeu ſcutella plena
<
lb
/>
aqua; </
s
>
<
s
id
="
N216FA
">aqua enim in partem contrariam volui videbitur; &, ſi plano
<
lb
/>
quod in circulo horizontali voluitur imponatur globus leuigatiſſimus,
<
lb
/>
certè in partem oppoſitam ibit. </
s
>
<
s
id
="
N21702
">Secundæ hypotheſi alia videntur fauere
<
lb
/>
experimenta; </
s
>
<
s
id
="
N21708
">ſi enim trochus volubilis, vel aqua, vel puluere aſperga
<
lb
/>
tur, ſtatim aqua reſilit per Tangentem, idem dico de puluere, ſi funda in
<
lb
/>
circulo horizontali voluatur, lapis demiſſus per Tangentem ibit: ſed
<
lb
/>
hæc omnia, quæ ad proiectiones pertinent, licèt illæ ſequantur ex motu
<
lb
/>
circulari, examinabimus & demonſtrabimus lib. 10. cum de proiectis. </
s
>
</
p
>
<
p
id
="
N21714
"
type
="
main
">
<
s
id
="
N21716
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
9.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N21722
"
type
="
main
">
<
s
id
="
N21724
">
<
emph
type
="
italics
"/>
Cauſa motus circularis eſt ea, quæ cum tali impedimento coniuncta eſt
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N2172D
">ex
<
lb
/>
quo accidit diametrum mobilis in aliquo ſui puncto retineri immobi
<
lb
/>
lem; ſunt autem varij modi huius applicationis. </
s
>
<
s
id
="
N21735
">Primus eſt ille, quem
<
lb
/>
indicauimus ſuprà Th.1.cum ſcilicet vtraque extremitas cylindri æquali </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>