Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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N24CC8
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<
p
id
="
N26603
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type
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main
">
<
s
id
="
N26605
">
<
pb
pagenum
="
362
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xlink:href
="
026/01/396.jpg
"/>
quo DA fertur per ipſum D, BC cum ſuis velus vertitur circa DA. </
s
>
</
p
>
<
p
id
="
N26616
"
type
="
main
">
<
s
id
="
N26618
">Primò, hinc eſt motus mixtus, & recto axis DA & circulari CB. </
s
>
</
p
>
<
p
id
="
N2661C
"
type
="
main
">
<
s
id
="
N2661E
">Secundò, hinc eſt motus perfectè ſpiralis, nec enim differt à motu cy
<
lb
/>
lindri; de quo ſuprà. </
s
>
</
p
>
<
p
id
="
N26624
"
type
="
main
">
<
s
id
="
N26626
">Tertiò, ſpiræ ſunt frequentiores, quò motus eſt velocior motu centri
<
lb
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A, maiores è contrario. </
s
>
</
p
>
<
p
id
="
N2662B
"
type
="
main
">
<
s
id
="
N2662D
">Quartò, debet conſtare debet CB ex leuiſſima materia; alioquin non
<
lb
/>
mouebitur motu orbis. </
s
>
</
p
>
<
p
id
="
N26633
"
type
="
main
">
<
s
id
="
N26635
">Quintò, debet facilè poſſe moueri circa A; alioquin vis illa reflantis
<
lb
/>
aëris, quæ CB motum circularem imprimit, non ſufficeret. </
s
>
</
p
>
<
p
id
="
N2663B
"
type
="
main
">
<
s
id
="
N2663D
">Sextò, ideo BC mouetur circa A; </
s
>
<
s
id
="
N26641
">quia cum vela C & B polleant mul
<
lb
/>
tum aëra, maior eſt reſiſtentia; </
s
>
<
s
id
="
N26647
">hinc propter modicam inclinationem
<
lb
/>
axis DA aër in ſuperficies C & B obliquè incidens illas impellit; ſed
<
lb
/>
quia axis BA reſiſtit neceſſariò circa A, motu circulari cientur. </
s
>
</
p
>
<
p
id
="
N2664F
"
type
="
main
">
<
s
id
="
N26651
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
23.
<
emph.end
type
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center
"/>
</
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</
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<
p
id
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N2665D
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type
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">
<
s
id
="
N2665F
">
<
emph
type
="
italics
"/>
Explicari poſſunt omnes motus ponderis, ſeu plumei à tergo valuarum fu
<
lb
/>
nependuli, cuius vi valuæ ipſa claudantur,
<
emph.end
type
="
italics
"/>
v.g.ſit fores AE quarum va
<
lb
/>
rum eſt AF; ſit funis CDG, cuius extremitas immobiliter affixa ſit C,
<
lb
/>
pondus appenſum ſit G, cuius vi ſeu motu fores ipſæ clauduntur. </
s
>
</
p
>
<
p
id
="
N2666E
"
type
="
main
">
<
s
id
="
N26670
">Primò, certum eſt pondus G non moueri motu recto; quia cum ip
<
lb
/>
ſo rectangulo AE mouetur circa axem immobilem AB. </
s
>
</
p
>
<
p
id
="
N26677
"
type
="
main
">
<
s
id
="
N26679
">Secundò, certum eſt non moueri motu purè circulari, qui mouetur
<
lb
/>
per lineam GD. </
s
>
</
p
>
<
p
id
="
N2667E
"
type
="
main
">
<
s
id
="
N26680
">Tertiò, certum eſt rectangulum A moueri motu purè circulari, vt pa
<
lb
/>
tet; ita vt DE ſuo motu deſcribat cylindrum, cuius radius ſeu ſemidia
<
lb
/>
meter baſis eſt BE. </
s
>
</
p
>
<
p
id
="
N26689
"
type
="
main
">
<
s
id
="
N2668B
">Quartò, certum eſt, quodlibet punctum huius rectanguli deſ
<
lb
/>
cribere circulum, maiorem ſcilicet vel minorem pro diuerſa diſtan
<
lb
/>
tia ab axe AB, v. g. punctum D deſcribit circulum, cuius radius
<
lb
/>
eſt DA, punctum verò I deſcribit circulum, cuius radius eſt HI. </
s
>
</
p
>
<
p
id
="
N26699
"
type
="
main
">
<
s
id
="
N2669B
">Quintò, certum eſt pondus G moueri motu mixto ex circulari forium.
<
lb
/>
</
s
>
<
s
id
="
N2669F
">& recto deorſum. </
s
>
</
p
>
<
p
id
="
N266A2
"
type
="
main
">
<
s
id
="
N266A4
">Sextò, habes ſchema huius motus in cylindro A quem deſcribunt
<
lb
/>
fores ſuo motu, ſi enim A moueatur per ſemicirculum AB, & rectam A
<
lb
/>
C; </
s
>
<
s
id
="
N266AC
">haud dubiè mouebitur per AD; igitur hic motus eſt ſpiralis, nec eſt
<
lb
/>
alia difficultas. </
s
>
</
p
>
<
p
id
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type
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<
s
id
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N266B4
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
24.
<
emph.end
type
="
center
"/>
</
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>
</
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<
p
id
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type
="
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">
<
s
id
="
N266C2
">
<
emph
type
="
italics
"/>
Quando voluitur funis circa cylindrum, vel axem, mouetur motu
<
lb
/>
ſpirali, ſed diuerſo à prioribus
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N266CF
">ſunt enim veræ ſpiræ ad inſtar ſapien
<
lb
/>
tia in diuerſa volumina contorti; </
s
>
<
s
id
="
N266D5
">ſic funis circa digitum ſæpè
<
lb
/>
rotatur.; </
s
>
<
s
id
="
N266DB
">eſt enim motus mixtus ex diuerſis circularibus: </
s
>
<
s
id
="
N266E1
">quippè </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
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