Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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43
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xlink:href
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026/01/075.jpg
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tione lineæ non puncti; </
s
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<
s
id
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N13CAB
">accipiatur punctum N linea percuſſionis MN,
<
lb
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minor eſt percuſſio ratione puncti non lineæ; </
s
>
<
s
id
="
N13CB1
">ſi accipiatur punctum N,
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& linea IN, minor eſt percuſſio ratione vtriuſque: </
s
>
<
s
id
="
N13CB7
">ſi demum accipia
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tur punctum E & linea HE, maior eſt percuſſio ratione vtriuſque; </
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>
<
s
id
="
N13CBD
">igi
<
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tur ſunt quatuor coniugationes; ſeu quatuor claſſes diuerſarum percuſ
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ſionum. </
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>
</
p
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<
p
id
="
N13CC5
"
type
="
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">
<
s
id
="
N13CC7
">Hinc compenſari poteſt ratione vnius quod deeſt ratione alterius,
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lb
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v. g. ſi fiat percuſſio in puncto E per lineam ME, poteſt ſciri punctum
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inter ED, in quo percuſſio per lineam perpendicularem ſit æqualis
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percuſſioni per lineam ME; ſed de his infrà in lib. 10. cum de percuſ
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ſione, determinabimus enim vnde proportiones iſtæ petendæ ſint, &
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demonſtrabimus totam iſtam rem, quæ multùm curioſitatis habet, &
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vtilitatis. </
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>
</
p
>
<
p
id
="
N13CDD
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type
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">
<
s
id
="
N13CDF
">Determinabimus etiam dato puncto percuſſionis F v.g. cum ſequatur
<
lb
/>
motus vectis, quodnam ſit centrum vectis ſeu huius motus. </
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>
</
p
>
<
p
id
="
N13CE6
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type
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">
<
s
id
="
N13CE8
">Hinc demum ſequitur, ne hoc omittam, data minimâ percuſſione per
<
lb
/>
lineam MN dari poſſe adhuc minorem per lineam IN, & alias incli
<
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natas; </
s
>
<
s
id
="
N13CF0
">& data percuſſione per lineam quantumuis inclinatam, poſſe da
<
lb
/>
ri æqualem per lineam perpendicularem; </
s
>
<
s
id
="
N13CF6
">& data per lineam perpendi
<
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/>
cularem extra centrum grauitatis E, poſſe dari æqualem; & in qualibet
<
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data ratione per aliquam inclinatam, quæ cadat in E, ſed de his fusè
<
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ſuo loco. </
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>
</
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type
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<
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<
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type
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"/>
<
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type
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Theorema
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70.
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</
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<
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<
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"/>
Corpus oblongum parallelipedum percutiens aliud corpus, putà globum̨,
<
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motu recto per lineam directionis, quæ producta à puncto contactus ducitur per
<
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centrum globi, dum fiat contactus in centro grauitatis parallelipedi, maximum
<
lb
/>
ictum infligit, ſeu agit quantùm poteſt.
<
emph.end
type
="
italics
"/>
v. g. ſit parallelipedum EB; quod
<
lb
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moueatur motu recto parallelo, lineis CD, HG, &c. </
s
>
<
s
id
="
N13D25
">ſitque globus in
<
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D; </
s
>
<
s
id
="
N13D2B
">haud dubiè agit quantùm poteſt, quia ſcilicet eſt maximum impedi
<
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mentum per Th.68. Tam enim globus in D impedit motum paralleli
<
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pedi, quàm parallelipedum motum globi impacti per lineam ID; </
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>
<
s
id
="
N13D33
">impedit
<
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inquam ratione oppoſitionis; </
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>
<
s
id
="
N13D39
">quia centra grauitatis vtriuſque con
<
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currunt in eadem linea; igitur ſi maximum eſt impedimentum, agit
<
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quantùm poteſt Th. 50. hinc producitur impetus æqualis per Th.60. </
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>
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<
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type
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"/>
<
emph
type
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Theorema
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emph.end
type
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"/>
71.
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type
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center
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</
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</
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<
s
id
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">
<
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type
="
italics
"/>
Si percuſſio fiat in G, id eſt ſi globus eſſet in G, producetur minor impetus,
<
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/>
& in
<
emph.end
type
="
italics
"/>
M
<
emph
type
="
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"/>
adhuc minor
<
emph.end
type
="
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"/>
; </
s
>
<
s
id
="
N13D62
">vt conſtat ex dictis in ſuperioribus Theorematis;
<
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in qua vero proportione determinabimus aliàs. </
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type
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<
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type
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Theorema
<
emph.end
type
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italics
"/>
72.
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type
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center
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</
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</
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id
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type
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<
s
id
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">
<
emph
type
="
italics
"/>
Si corpus percutiens non ſit parallelipedum, ſed alterius figuræ v.g.
<
emph.end
type
="
italics
"/>
<
emph
type
="
italics
"/>
trigo
<
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non,
<
emph.end
type
="
italics
"/>
ADE, ſitque maioris facilitatis gratia Orthonium; </
s
>
<
s
id
="
N13D89
">eiuſque motus
<
lb
/>
ſit parallelus lineis ED, BC: </
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>
<
s
id
="
N13D8F
">ſit autem DA dupla DE; </
s
>
<
s
id
="
N13D93
">ſitque diuiſa to
<
lb
/>
ta DA æqualiter in C, in C non erit maximus ictus; </
s
>
<
s
id
="
N13D99
">quia in C non </
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