Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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<
front
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<
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faciliori, circa centrum, quod diſtet ab altera extremitate vna
<
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quarta totius cylindri: ratio eſt: quia faciliùs mouetur circa illud
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centrum, quàm circa alia puncta, quòd, ſcilicet, minùs ſpatij decur
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ratur, poſito eodem ſemper motu alterius extremitatis, cui appli
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catur immediatè potentia motrix. </
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<
s
id
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">11. Cùm rota mouetur in verticali, atque præponderat alter ſemi
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circulus, haud dubiè hic præponderans producit impetum in alio
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ſemicirculo: </
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<
s
id
="
N10E68
">hinc fortè eſt, quòd mirere, impetus determinatus
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deorſum producit alium ſurſum: </
s
>
<
s
id
="
N10E6E
">hinc impetus vnius partis mobi
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lis poteſt producere ſimilem in alia parte continua; </
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>
<
s
id
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N10E74
">quod tantùm in
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hoc caſu locum habet: </
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<
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id
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">quando corpus incumbit plano, quod mo
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uetur motu recto æquabili, ab eo non ſeparatur; ſecùs verò, ſi in
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cumbat plano, quod mouetur motu circulari. </
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De motu funependuli.
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<
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<
s
id
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">1. FVnependulum deſcendit per arcum motu naturaliter acce
<
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lerato: </
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>
<
s
id
="
N10E9C
">experientia clariſſima eſt: cùm enim ex maiori ſubli
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/>
mitate deſcendit, maiorem ictum infligit. </
s
>
<
s
id
="
N10EA2
">Ratio à priori eſt quia
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priori impetui acquiſito nouus accedit: </
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>
<
s
id
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">non acceleratur in eadem
<
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proportione, in qua ſuprà dictum eſt accelerari in linea recta; </
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>
<
s
id
="
N10EAE
">quia
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in hac acceleratur vniformiter, id eſt, æqualibus temporibus,
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æqualia acquiruntur velocitatis momenta; </
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>
<
s
id
="
N10EB6
">quia vel eſt ſemper ea
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dem inclinatio plani, vel idem perpendiculum: </
s
>
<
s
id
="
N10EBC
">at verò in fune
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pendulo in ſingulis punctis eſt noua tangens; </
s
>
<
s
id
="
N10EC2
">igitur noua inclina
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tio plani; igitur noua ratio motus. </
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>
</
p
>
<
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id
="
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type
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">
<
s
id
="
N10ECA
">2. Initio acceleratur motus per maiora crementa, ſub finem per mi
<
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/>
nora; </
s
>
<
s
id
="
N10ED0
">v.g. ſi dato tempore acquiſiuit vnum gradum impetus initio,
<
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æquali deinde tempore acquiret minùs: ratio clara eſt: </
s
>
<
s
id
="
N10ED8
">quia, vt ac
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lb
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quireret æqualem, deberet eſſe eadem plani inclinatio; </
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>
<
s
id
="
N10EDE
">ſed ſemper
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creſcit Inclinatio; </
s
>
<
s
id
="
N10EE4
">igitur ſemper imminuitur impetus æquali
<
expan
abbr
="
tẽpore
">tempore</
expan
>
<
lb
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acquiſitus: </
s
>
<
s
id
="
N10EEE
">acquiritur tamen æqualis velocitas in arcu, & in chor
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da, ſeu plano inclinato, eiuſdem altitudinis; igitur ſemper creſcit
<
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/>
motus funependuli in deſcenſu, ſed minoribus incrementis. </
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>
</
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>
<
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id
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type
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">
<
s
id
="
N10EF8
">3. Hinc breuiore tempore deſcendit per radium perpendicula
<
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/>
rem, quàm per quadrantis arcum eiuſdem radij; </
s
>
<
s
id
="
N10EFE
">tùm quia breuior
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eſt linea; tùm, quia in perpendiculari acceleratur motus per maiora
<
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/>
crementa. </
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>
<
s
id
="
N10F06
">Vibratio maior eiuſdem funependuli æquali ferè tem-</
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>
</
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>
</
section
>
</
front
>
</
text
>
</
archimedes
>