Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Corollarium
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5.
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<
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">Ex dictis etiam colliges diuerſas percuſſionum rationes ſuppoſita di
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uerſa ratione ponderum globi percutientis, & percuſſi; </
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<
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">cum enim impe
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tus productus ſit æqualis per ſe impetui producenti, per Th.60. modò
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debita fiat applicatio, de qua in Th.50. ſi percutiens ſit duplus percuſſi,
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ſuppoſita eadem materia, motus percuſſi erit duplò velocior; quia im
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petus erit duplò intenſior, vt conſtat ex Th. 61. ſi verò ſit quadruplus,
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quadruplo, &c. </
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<
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">Igitur velocitates motuum ſunt in ratiòne ponderum
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permutando. </
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Theorema
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68.
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Si corpus percuſſum ſit oblongum, & percuſſio fiat in centro grauitatis eiuſ
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dem corporis; </
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<
s
id
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N13BE8
">producitur impetus in percuſſio æqualis impetui percutientis
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; </
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<
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">ſed
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opus eſt aliqua figura: </
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">Sit corpus AD, parallelipedum; </
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">diuidatur æqua
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liter in E ita vt E ſit centrum grauitatis; </
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<
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id
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">ſi percuſſio fiatin E per lineam
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perpendicularem HE, producetur impetus in corpore AD æqualis im
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petui corporis percutientis; </
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<
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id
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">quia ſcilicet à corpore AD non poteſt maius
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eſſe impedimentum; igitur agit quantùm poteſt impetus corporis per
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cutientis per Th.50. igitur producit æqualem per Th.69. </
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Theorema
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69.
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Si percuſſio fiat in
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F
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per lineam perpendicularem
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IF,
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minus erit impedi
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mentum, quàm per
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HE, Quia ſi per HE, moueri tantùm poteſt motu
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recto, ſi per IF, etiam motu circulari circa aliquod centrum; </
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<
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id
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">ſed hic
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motus eſt facilior quam ille; </
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<
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">igitur minus eſt impedimentum; </
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">(ſuppono
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autem cylindrum BC vtroque modo moueri poſſe ab applicata potentia)
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igitur minùs impetus producitur, ſi percuſſio fiat per IF, quàm ſi fiat
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per LK: </
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>
<
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">In qua verò proportione ſit minus impedimentum, & minori
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opus impetu, poſito eodem potentiæ niſu, determinabimus facilè aliàs;
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vt etiam demonſtrabimus circa quod centrum hic circularis motus fieri
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debeat. </
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Scholium.
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<
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">Ex duobus capitibus minus eſſe poteſt impedimentum; </
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">primum eſt,
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quod petitur à puncto contactus, ſecundum à linea incidentiæ; </
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<
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">v. g. ſi
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accipiatur punctum E, in quo eſt centrum grauitatis corporis AD, & in
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eo fiat percuſſio; </
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<
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">maximum eſt impedimentum ratione puncti conta
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ctus, in quo fit percuſſio; </
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<
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id
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">ſi verò percuſſio fiat per lineam perpendicu
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larem HE, maximum eſt impedimentum, ratione lineæ; </
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<
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">ſi autem ex
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vtroque capite ſimul accidat impedimentum, maximum eſt omnium; </
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iam verò ſi accipiatur punctum E, & linea percuſsionis ME; </
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percuſsio ratione lineæ non puncti; </
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<
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">accipiatur punctum N, & linea
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percuſsionis MN, minor eſt percuſsio ratione puncti non lineæ, acci
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piatur punctum N, & linea IN, minor eſt percuſsio ratione vtriuſque; </
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ſi demum accipiatur punctum E, & linea ME, minor eſt percuſsio ra</
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