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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<
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fundæ, quæ ſi demittatur, ſequitur motus rectus: </
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>
<
s
id
="
N10CF9
">quidam tamen
<
lb
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non eſt merè peraccidens, vt cùm pellitur extremitas cylindri in
<
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plano horizontali; eſt enim, iuxta inſtitutionem naturæ, ad facili
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tatem motus. </
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</
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<
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<
s
id
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">2. Quippe tale eſt naturæ inſtitutum, vt eo motu corpora mo
<
lb
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ueantur, quo faciliùs moueri poſſunt: </
s
>
<
s
id
="
N10D0B
">atqui cùm pellitur altera cy
<
lb
/>
lindri extremitas, in plano horizontali putà innatantis, faciliùs
<
lb
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mouetur, quàm recto, & quaſi minore ſumptu, cùm minùs ſpatij
<
lb
/>
acquirat: æquali tempore: </
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>
<
s
id
="
N10D15
">poteſt dari motus circularis mixtus ex
<
lb
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duobus rectis, quorum vnus ſit, vt ſinus recti, alius vt verſi; vix
<
lb
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tamen hoc accidit vnquàm, ſed tantùm oritur hic motus ex
<
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determinatione per tangentem impedita, ratione alicuius puncti
<
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immobilis. </
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>
</
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<
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<
s
id
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">3. Hinc, ſi tollatur impedimentum, ſtatim per tangentem or
<
lb
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bis fit motus, vt patet in funda: </
s
>
<
s
id
="
N10D29
">inæqualiter partes radij prædicti
<
lb
/>
orbis mouentur, iuxta proportionem diſtantiæ maioris, & minoris
<
lb
/>
à centro: </
s
>
<
s
id
="
N10D31
">hinc propagatio impetus inæqualis, de qua iam ſuprà,
<
lb
/>
ſingulis inſtantibus & punctis eſt noua determinatio; </
s
>
<
s
id
="
N10D37
">quia, ſcilicet,
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lb
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ſingulis punctis ſua tangens reſpondet: </
s
>
<
s
id
="
N10D3D
">hinc, ſi imponatur rotæ
<
lb
/>
aliud corpus, ſtatim abigitur, ſine ſit in ſitu verticali, ſiue in ſitu ho
<
lb
/>
rizontali; hinc dum turbo rotatur, ſi vel aquæ guttula eius ſuper
<
lb
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ficies aſpergitur, & ſtatim diſpergitur. </
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>
</
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<
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<
s
id
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">4 Dari impetum in motu circulari certiſſimum eſt: </
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>
<
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id
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">punctum phy
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ſicum eſt capax huius motus; cuius finis multiplex eſt; </
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>
<
s
id
="
N10D53
">corpus mo
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lb
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uetur motu circulari circa centrum immobile cum motus centri
<
lb
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impeditur non tamen motus orbis, ad quem impetus facilè deter
<
lb
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minatur, cùm ſit ad omnes lineas indifferens: </
s
>
<
s
id
="
N10D5D
">adde vſum vectis,
<
lb
/>
trochleæ, aliorúmque organorum, qui ſine motu circulari eſſe non
<
lb
/>
poteſt: omitto motum progreſſiuum, ipsúmque brachiorum, & ti
<
lb
/>
biarum vſum, qui motu circulari carere non poteſt. </
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>
</
p
>
<
p
id
="
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type
="
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<
s
id
="
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">5. Motus circularis rotæ in plano verticali eſt æquabilis per ſe; </
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>
<
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id
="
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">
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quia nihil eſt, quod impetum ſemel impreſſum deſtruat: </
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>
<
s
id
="
N10D72
">licèt enim
<
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/>
ſingulis inſtantibus ſit noua determinatio, nullus tamen impetus
<
lb
/>
eſt fruſtrà; </
s
>
<
s
id
="
N10D7A
">quippe illud ſpatium acquiritur in linea curua, quod in
<
lb
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recta, ſi nullum eſſet impedimentum, percurreret: </
s
>
<
s
id
="
N10D80
">quemadmodum
<
lb
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enim in reflexione, quæ fit à plano immobili, nullus deſtruitur im
<
lb
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petus; </
s
>
<
s
id
="
N10D88
">ita nullus hîc deſtruitur; </
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>
<
s
id
="
N10D8C
">tam enim centrum illud immobile
<
lb
/>
ad ſe quaſi trahit mobile, quàm planum immobile à ſe repellit; in
<
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/>
quo eſt perfectè analogia. </
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>
</
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</
section
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</
front
>
</
text
>
</
archimedes
>