Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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N22A20
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<
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<
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<
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322
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xlink:href
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026/01/356.jpg
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per planum tantillùm inclinatum maximam corporis molem, quam per
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aliud planum inclinatius, & accedens propiùs ad verticale minimè mo
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uere poſſet; </
s
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<
s
id
="
N24277
">cuius effectus alia ratio non eſt, niſi quod impetus, qui im
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primitur mobili ad talem gradum velocitatis ſit determinatus; atqui in
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perpendiculo eo motu moueri non poteſt, vt conſtat, ſed in plano lon
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giore. </
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>
</
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<
p
id
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N24281
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type
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<
s
id
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N24283
">Quintò, hinc vera ratio, cur in ſuperiore arcu deſtruatur citò impe
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tus; </
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<
s
id
="
N24289
">tardiùs verò in in inferiore; </
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<
s
id
="
N2428D
">quia, cùm Tangens cuiuſlibet puncti ar
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cus ſit eius planum, & hæc in arcu ſuperiore accedat propiùs ad perpen
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diculum; non mirum eſt, ſi cum eo impetu per arcum ſuperiorem mo
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ueri non poſſit mobile cò non aſcendat, cuius tantùm ope per inferio
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rem arcum aſcendit. </
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Theorema
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26.
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<
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type
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"/>
Omnes vibrationes numerari non poſſunt
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type
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; </
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<
s
id
="
N242B2
">certum eſt, cùm ſint infinitæ
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ferè inſenſibiles, nec poteſt ſenſu diſcerni, quantus ſit arcus minimæ vi
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brationis; </
s
>
<
s
id
="
N242BC
">ſi tamen deſtrueretur tantùm impetus in aſcenſu ab impetu
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innato, nec tenſio funis, triplex determinatio, reſiſtentia aëris, & diuerſæ
<
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partes funis, quarum minores vibrationes impediuntur quidquam fa
<
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cerent, cognita differentia prima vibrationis & ſecunda, fortè cognoſci
<
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/>
poſſet numerus vibrationum cognito principio progreſſionis; </
s
>
<
s
id
="
N242C8
">quantus
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verò ſit numerus vibrationum, quæ incipiunt à maiore, & quantus illa
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rum quæ incipiunt à minore etiam incertum eſt, v.g. ſi funependulum
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AD demittatur ex O, & deinde ex L; </
s
>
<
s
id
="
N242D4
">certum eſt quidem eſſe plures vi
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brationes cum demittitur ex O toto eo vibrationum numero, quæ re
<
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cenſentur, donec perueniatur ad illam vibrationem, cuius aſcenſus con
<
lb
/>
ſtat arcu DL; </
s
>
<
s
id
="
N242DE
">nam deinceps æqualis erit numerus earum, quæ conſe
<
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quentur, & earum, quarum prima demittitur ex L, vt patet; </
s
>
<
s
id
="
N242E4
">quot verò
<
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præcedant vibrationes antequam perueniatur ad illam, cuius aſcenſus
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eſt arcus DL; equidem aliqua obſeruatione affixo ſcilicet maiore qua
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drante parieti iu ſuos gradus diſtributo cognoſci poteſt, ſed nunquam
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ſatis acurata. </
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>
</
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<
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id
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<
s
id
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N242F2
">Itaque certum eſt primò accelerari motum in deſcenſu, &c retardari
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in aſcenſu. </
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>
</
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<
p
id
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main
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<
s
id
="
N242F9
">Secundò, certum eſt impetum nouum accedere in deſcenſu in ſingu
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lis punctis arcus iuxta rationem ſinus recti arcus inferioris; in aſcenſu
<
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verò imminui acquiſitum impetum in eadem ratione, omiſſa ea parte
<
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impetus, quæ deſtruitur tùm in aſcenſu tùm in deſcenſu propter tenſio
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nem funis, & reſiſtentiam aëris. </
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>
</
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<
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id
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<
s
id
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N24307
">Tertiò, certum eſt, primum gradum impetus ſcilicet innatum concur
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rere ad deſcenſum; </
s
>
<
s
id
="
N2430D
">ſecus verò ad aſcenſum, & contra vltimum gradum
<
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concurrere ad aſcenſum, ſecus ad deſcenſum; ſed hic vltimus gradus mi
<
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nimus eſt, & pro nihilo reputandus. </
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>
</
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<
p
id
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N24315
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type
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<
s
id
="
N24317
">Quartò, certum eſt aſcenſum minorem eſſe deſcenſu, nec funependu
<
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lum ad
<
expan
abbr
="
cãdem
">eandem</
expan
>
, vnde dimiſſum eſt priùs, aſcendere altitudinem. </
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>
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