Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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43
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tione lineæ non puncti; </
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<
s
id
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N13CAB
">accipiatur punctum N linea percuſſionis MN,
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minor eſt percuſſio ratione puncti non lineæ; </
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<
s
id
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">ſi accipiatur punctum N,
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& linea IN, minor eſt percuſſio ratione vtriuſque: </
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<
s
id
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N13CB7
">ſi demum accipia
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tur punctum E & linea HE, maior eſt percuſſio ratione vtriuſque; </
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<
s
id
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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
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N13CC5
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type
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">
<
s
id
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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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>
</
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<
p
id
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type
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<
s
id
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">Determinabimus etiam dato puncto percuſſionis F v.g. cum ſequatur
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motus vectis, quodnam ſit centrum vectis ſeu huius motus. </
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>
</
p
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<
p
id
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type
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<
s
id
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">Hinc demum ſequitur, ne hoc omittam, data minimâ percuſſione per
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/>
lineam MN dari poſſe adhuc minorem per lineam IN, & alias incli
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natas; </
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>
<
s
id
="
N13CF0
">& data percuſſione per lineam quantumuis inclinatam, poſſe da
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/>
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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Theorema
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70.
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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
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ictum infligit, ſeu agit quantùm poteſt.
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v. g. ſit parallelipedum EB; quod
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moueatur motu recto parallelo, lineis CD, HG, &c. </
s
>
<
s
id
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N13D25
">ſitque globus in
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D; </
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<
s
id
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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
="
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">impedit
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inquam ratione oppoſitionis; </
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>
<
s
id
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">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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Theorema
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71.
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</
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Si percuſſio fiat in G, id eſt ſi globus eſſet in G, producetur minor impetus,
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& in
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M
<
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adhuc minor
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; </
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<
s
id
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">vt conſtat ex dictis in ſuperioribus Theorematis;
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in qua vero proportione determinabimus aliàs. </
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Theorema
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72.
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<
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Si corpus percutiens non ſit parallelipedum, ſed alterius figuræ v.g.
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trigo
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non,
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ADE, ſitque maioris facilitatis gratia Orthonium; </
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<
s
id
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">eiuſque motus
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ſit parallelus lineis ED, BC: </
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>
<
s
id
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">ſit autem DA dupla DE; </
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>
<
s
id
="
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">ſitque diuiſa to
<
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ta DA æqualiter in C, in C non erit maximus ictus; </
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>
<
s
id
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">quia in C non </
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