Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
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<
front
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<
section
>
<
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N108FE
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type
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main
">
<
s
id
="
N10908
">
<
pb
xlink:href
="
026/01/018.jpg
"/>
talem in medio libero eſt motus mixtus ex accelerato naturali, &
<
lb
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retardato violento: eſt enim acceleratus naturalis, cùm deorſum
<
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deorſum tendat quaſi per gradus, ſeu diuerſa plana inclinata. </
s
>
</
p
>
<
p
id
="
N10914
"
type
="
main
">
<
s
id
="
N10916
">4. Non tamen impetus acquiſitus in eo motu eſt eiuſdem perfe
<
lb
/>
ctionis cum illo, qui acquireretur in perpendiculari eiuſdem longi
<
lb
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tudinis; </
s
>
<
s
id
="
N1091E
">ſed tantùm eiuſdem altitudinis: </
s
>
<
s
id
="
N10922
">nam perinde creſcit ille
<
lb
/>
impetus, atque creſceret in diuerſis planis inclinaris: </
s
>
<
s
id
="
N10928
">impetus verò
<
lb
/>
violentus in hoc motu retardatur; </
s
>
<
s
id
="
N1092E
">tùm, quia, ſi maneret idem, maior
<
lb
/>
eſſet ictus ſub finem iactus, quod eſt ridiculum; nec eſt, quòd aliqui
<
lb
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dicant, ab aëre deſtrui, qui non minùs reſiſtit naturali, quàm vio
<
lb
/>
lento. </
s
>
</
p
>
<
p
id
="
N10938
"
type
="
main
">
<
s
id
="
N1093A
">5. Adde, quòd eſt duplex determinatio: </
s
>
<
s
id
="
N1093E
">igitur aliquid deſtrui de
<
lb
/>
bet, non acquiſiti; igitur impreſſi: </
s
>
<
s
id
="
N10944
">deſtrui autem non dicitur acqui
<
lb
/>
ſitus, quòd, ſcilicet, plùs de nouo accedat, quàm pereat; </
s
>
<
s
id
="
N1094A
">eſt enim ac
<
lb
/>
celeratus: </
s
>
<
s
id
="
N10950
">adde, quòd non infligitur tantus ictus ſub finem; </
s
>
<
s
id
="
N10954
">igitur
<
lb
/>
deſtruitur aliquid impetus, non acquiſiti, eo modo, quo diximus; </
s
>
<
s
id
="
N1095A
">
<
lb
/>
igitur impreſſi: ita tamen ſenſim deſtruitur, vt pro æquabili per ali
<
lb
/>
quod ſpatium quaſi haberi poſſit. </
s
>
</
p
>
<
p
id
="
N10961
"
type
="
main
">
<
s
id
="
N10963
">6. Hinc mobile proiectum per horizontalem, ne primo quidem
<
lb
/>
inſtanti per horizontalem mouetur, alioqui non eſſet motus mix
<
lb
/>
tus: </
s
>
<
s
id
="
N1096B
">tardiùs cadit mobile ita proiectum in planùm horizontale ſub
<
lb
/>
iectum, quàm cum ſua ſponte, ex eadem altitudine deſcendit: </
s
>
<
s
id
="
N10971
">cuius
<
lb
/>
rei clariſſima eſt experientia: ratio eſt; </
s
>
<
s
id
="
N10977
">quia impetus acquiſitus in
<
lb
/>
hoc iactu non eſt eiuſdem perfectionis, cùm acquiſito in perpendi
<
lb
/>
culo: </
s
>
<
s
id
="
N1097F
">cùm proiicitur mobile per inclinatam ſurſum, mouetur motu
<
lb
/>
mixto ex naturali æquabili, & violento retardato: patet prima pars; </
s
>
<
s
id
="
N10985
">
<
lb
/>
quia acceleratur tantùm naturalis deorſum, ſaltem in inclinata: </
s
>
<
s
id
="
N1098A
">ſe
<
lb
/>
cunda pars etiam patet; quia ſub finem minor eſt ictus. </
s
>
</
p
>
<
p
id
="
N10990
"
type
="
main
">
<
s
id
="
N10992
">7. Hinc linea motus eſt curua: </
s
>
<
s
id
="
N10996
">iuxta diuerſam progreſſionem de
<
lb
/>
ſtruitur hic impetus impreſſus: </
s
>
<
s
id
="
N1099C
">tùm pro diuerſa inclinatione plani,
<
lb
/>
cuius etiam hîc habetur ratio; </
s
>
<
s
id
="
N109A2
">nam ſingulis inſtantibus mutatur: </
s
>
<
s
id
="
N109A6
">
<
lb
/>
tùm, quia modò plùs impetus eſt fruſtrà, modò minùs; </
s
>
<
s
id
="
N109AB
">plùs
<
lb
/>
certè, cùm linea determinationis impetus impreſſi facit obtu
<
lb
/>
ſiorem: </
s
>
<
s
id
="
N109B3
">atqui initio eſt obtuſior; ſub finem verò aſcenſus acu
<
lb
/>
tior. </
s
>
</
p
>
<
p
id
="
N109B9
"
type
="
main
">
<
s
id
="
N109BB
">8. Aſcenſus proiecti per inclinatam diutiùs durat, quàm deſ
<
lb
/>
cenſus, ratione eiuſdem plani horizontalis; </
s
>
<
s
id
="
N109C1
">quia, ſcilicet, aſ
<
lb
/>
cenſus longior eſt, quàm deſcenſus: </
s
>
<
s
id
="
N109C7
">eſt autem longior; </
s
>
<
s
id
="
N109CB
">quia, vt
<
lb
/>
eſſet æqualis, nihil impetus impreſſi deberet deſtrui in aſcenſu </
s
>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>