Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Theorema
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37.
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Licèt impetus non destruatur in motu rotæ, & impediatur determinatio
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prima, vt patet; </
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<
s
id
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N21FE7
">attamen impedimentum non poteſt minus excogitari
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; </
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<
s
id
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N21FEE
">cùm
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nulla poſſit duci linea recta declinans ab AO, per quam noua determi
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natio fieri poſſit; </
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<
s
id
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N21FF6
">fit enim ratione anguli contingentiæ; </
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<
s
id
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N21FFA
">igitur determi
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natio noua proximè accedit ad priorem; igitur eſt minimum impedi
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mentum. </
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<
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Theorema
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emph.end
type
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38.
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type
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Hinc in maiori rota minus eſt impedimentum
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; </
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<
s
id
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N2201B
">quia ſcilicet minor eſt
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angulus contingentiæ; </
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>
<
s
id
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N22021
">maius verò in minori rota: </
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>
<
s
id
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N22025
">porrò minor rota à
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maiore ſeparata citiùs ſuos gyros abſoluit; </
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>
<
s
id
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N2202B
">quia ſunt minores, (ſuppono
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æqualem impetum in extremo orbe rotæ vtriuſque productum,) idque
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pro rata; ſi enim minor ſit ſubdupla maioris, maior vnum tantum gyrum
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aget eo tempore, quo minor duos percurret. </
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<
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">Obſerua primò, pondus applicatum in A non modò producere impe
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tum in toto radio AE; </
s
>
<
s
id
="
N2203D
">ſed etiam in toto radio oppoſito EC; </
s
>
<
s
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N22041
">ratio eſt,
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quia ſi impetus radij AE producit impetum in radio EC; </
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<
s
id
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N22047
">certè pondus
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additum radio AE cenſetur pars eiuſdem radij; </
s
>
<
s
id
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N2204D
">igitur impetus illius
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ponderis immediatè producit impetum in radio EC; </
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>
<
s
id
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N22053
">quia impedit hic
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radius oppoſitus motum alterius AE; </
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>
<
s
id
="
N22059
">igitur, vt tollat impedimentum,
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producit AE impetum in EC; </
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>
<
s
id
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N2205F
">ſi autem produceretur tantùm impetus in
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EC ab impetu radij AE; </
s
>
<
s
id
="
N22065
">igitur, vel aliquid impetus eſſet fruſtrà, vel
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nunquam radius minor poſſet attollere maiorem, quacunque accedente
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potentia; </
s
>
<
s
id
="
N2206D
">ſit enim radius FE, in quo producatur quilibet impetus, ſit
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que radius oppoſitus maior duplo EC; </
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>
<
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id
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N22073
">certè ſi impetus radij FE produ
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cit impetum in radio EC, vel producit æqualem, vel minorem, maiorem
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enim producere non poteſt; ſi minorem, vel æqualem; </
s
>
<
s
id
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N2207B
">igitur remiſſio
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rem, quia pluribus partibus ſubjecti diſtribuitur; </
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>
<
s
id
="
N22081
">igitur vel motus eſſet
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remiſſior radij EC quàm radij FE, quod dici non poteſt; </
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>
<
s
id
="
N22087
">vel aliquid
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/>
impetus radij FE eſſet fruſtrà, quod etiam dici non poteſt; itaque poten
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tia applicata in F, mediante ſcilicet organo, quodcumque tandem illud
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ſit.v.g. </
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>
<
s
id
="
N22091
">pugno, producit impetum in ipſo organo, impetus verò organi,
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ſeu pugni producit impetum primò in toto radio FE, tùm in toto radio
<
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EC, id eſt totus impetus tùm pugni, tùm radij FC, ſcilicet innatus pro
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ducit impetum in alio radio EC; </
s
>
<
s
id
="
N2209B
">nec enim producitur tantùm ab impe
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tu radij propter rationem ſuprà allatam, cùm ſit maior impetus in radio
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EC quàm in radio FE; </
s
>
<
s
id
="
N220A3
">nec tantùm ab impetu pugni, vel organi admo
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ti; </
s
>
<
s
id
="
N220A9
">quia etiamſi nullus accederet nouus impetus radio AE, ſed tantùm
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minimum pondus; </
s
>
<
s
id
="
N220AF
">haud dubiè attolleret radium EC: </
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>
<
s
id
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N220B3
">Adde quod ra
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dius EC impedit motum radij FE; </
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>
<
s
id
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N220B9
">igitur ab impetu huius producitur
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etiam in illo impetus; igitur tùm ab impetu pugni, vel organi, tùm ab
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impetu radij FE producitur impetus in radio EC. </
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