Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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gitudines; </
s
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<
s
id
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N14D96
">quæ ſi colligantur, habebis characterem totius impetus, 2 1/2: </
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<
s
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">
<
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igitur totus impetus productus in minore vecte, qui conſtat 2. punctis,
<
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eſt ad impetum, qui producitur in maiore conſtante 4.punctis, vt 1. 1/2 ad
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2. 1/2; </
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<
s
id
="
N14DA3
">igitur vectis maior maiorem potentiam ad mouendum ipſum ve
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lb
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ctem requirit; non certè in deſcenſu; </
s
>
<
s
id
="
N14DA9
">quippe ſuo pondere deſcendit, ſed
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in plano horizontali; </
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<
s
id
="
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">niſi enim potentia poſſit mouere vectem; haud
<
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dubiè nullum pondus vecte mouebit. </
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>
</
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<
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<
s
id
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">At verò ſi potentia ſit tantùm dupla minimæ, quæ datum vectem mo
<
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uere poſſit; </
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>
<
s
id
="
N14DBD
">haud dubiè dato illo vecte datum ferè quodcumque pondus
<
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/>
mouere poterit; cum ipſe vectis conſtet ferè infinitis punctis in longi
<
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tudine, vt patet ex dictis, & conſideranti patebit. </
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>
</
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>
<
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id
="
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type
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">
<
s
id
="
N14DC7
">Obſeruabis demum in mechanicis nullam ferè haberi rationem pon
<
lb
/>
deris ipſius vectis; </
s
>
<
s
id
="
N14DCD
">parum enim pro nihilo computatur: </
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>
<
s
id
="
N14DD1
">Ex his tamen
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lb
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erui poſſunt veriſſimæ rationes Phyſicæ proportionum vectis AH; </
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>
<
s
id
="
N14DD7
">ſia
<
lb
/>
que A extremitas, H centrum; </
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>
<
s
id
="
N14DDD
">ſitque BH 1/2. CH 1/4, DH 1/2, EH (1/16),
<
lb
/>
FH (1/32), GH (1/64) pondus I applicetur in A, & moueatur; </
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>
<
s
id
="
N14DE3
">certè in B moue
<
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bitur pondus K duplum I; </
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>
<
s
id
="
N14DE9
">quia, cum impetus productus in B, ſit ſubdu
<
lb
/>
plus in perfectione illius, qui producitur in A; </
s
>
<
s
id
="
N14DEF
">vt æqualis producatur in
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lb
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B, & in A, debent produci in B duplò plures partes impetus; </
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>
<
s
id
="
N14DF5
">igitur du
<
lb
/>
plò maius pondus mouebit; </
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>
<
s
id
="
N14DFB
">at verò in C mouebitur pondus L quadru
<
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/>
plum I, in D octuplum, atque ita deinceps; donec tandem in G mouea
<
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/>
tur pondus, quod ſit ad I vt 64. ad 1. & cum adhuc poſſint accipi inter
<
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/>
GH, partes aliquotæ minores, & minores ferè in infinitum, non mirum
<
lb
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eſt ſi pondus maius poſſit adhuc moueri. </
s
>
</
p
>
<
p
id
="
N14E07
"
type
="
main
">
<
s
id
="
N14E09
">Obſeruabis etiam in omni vecte abſtrahendo ab eius pondere, & ap
<
lb
/>
plicata eadem potentia, hoc eſſe commune; </
s
>
<
s
id
="
N14E0F
">vt poſſit quodcumque pon
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dus attolli, licèt difficiliùs in minore; </
s
>
<
s
id
="
N14E15
">quia hic non poteſt in tam mul
<
lb
/>
tas partes aliquotas ſenſibiliter diuidi, in medio tamen vecte duplum
<
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ſemper pondus mouetur; ſiue ipſe vectis ſit maior, ſiue minor. </
s
>
</
p
>
<
p
id
="
N14E1D
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type
="
main
">
<
s
id
="
N14E1F
">Obſeruabis deinde, ſi centrum vectis non ſit in altera extremitate,
<
lb
/>
ſed. </
s
>
<
s
id
="
N14E24
">v.g. in C; </
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>
<
s
id
="
N14E2A
">haud dubiè producitur in H, & in B impetus æqualis; </
s
>
<
s
id
="
N14E2E
">quia
<
lb
/>
æqualiter diſtat vtrumque punctum à centro C; </
s
>
<
s
id
="
N14E34
">igitur æquale pondus
<
lb
/>
mouebitur in B, & in H; propagatur tamen nouo modo à C verſus H, de
<
lb
/>
quo iam ſuprà dictum eſt. </
s
>
</
p
>
<
p
id
="
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"
type
="
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">
<
s
id
="
N14E3E
">Obſeruabis denique triplicem propagationem impetus eſſe legiti
<
lb
/>
mam. </
s
>
<
s
id
="
N14E43
">Prima eſt in motu recto, cum propagatur per partes æquales, tùm
<
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in perfectione, tùm in numero in ſingulis partibus ſubjecti per gradus,
<
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/>
ſcilicet heterogeneos. </
s
>
<
s
id
="
N14E4A
">Secunda eſt in motu circulari, applicata ſcilicet
<
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potentia centro; cum propagatur per partes æquales in perfectione, &
<
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inæquales in numero. </
s
>
<
s
id
="
N14E52
">Tertia eſt in vecte, cum propagatur per partes
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æquales in numero, & inæquales in perfectione. </
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>
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Theorema
<
emph.end
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112.
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<
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"/>
Impetus debet determinari ad aliquam lineam motus
<
emph.end
type
="
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"/>
; </
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>
<
s
id
="
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">probatur, quia
<
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non poteſt eſſe impetus, niſi exigat motum per Th.14. nec exigere mo-</
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