Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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N1C940
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<
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pagenum
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234
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xlink:href
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026/01/266.jpg
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Corollarium
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6.
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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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N1ED91
">Sextò, cum globus rotatur in plano inclinato mouetur motu mixto,
<
lb
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ſcilicet ex motu orbis & centri,
<
expan
abbr
="
moueturq́ue
">moueturque</
expan
>
velociùs quàm cubus eiuſ
<
lb
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dem ponderis; </
s
>
<
s
id
="
N1ED9D
">quia pauciores partes plani fricantur à globo; </
s
>
<
s
id
="
N1EDA1
">ſed hæc ra
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lb
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tio non valet, niſi ſupponatur planum non eſſe perfectè læuigatum; </
s
>
<
s
id
="
N1EDA7
">igi
<
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tur eſt alia ratio: an quia cubus mouetur motu centri? </
s
>
<
s
id
="
N1EDAD
">globus verò motu
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centri & orbis; </
s
>
<
s
id
="
N1EDB3
">ſed motus orbis iuuat motum centri; </
s
>
<
s
id
="
N1EDB7
">ſed hæc ratio nulla
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lb
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eſt, quia
<
expan
abbr
="
tantũdem
">tantundem</
expan
>
pars ſuperior globi addit motui centri quantùm
<
lb
/>
inferior detrahit; </
s
>
<
s
id
="
N1EDC3
">igitur alia ratio eſt, ſcilicet non tantùm globum deſ
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/>
cendere in plano inclinato per grauitatem abſolutam, ſed etiam per reſ
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lb
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pectiuam,
<
expan
abbr
="
eſtq́ue
">eſtque</
expan
>
veluti potentia Mechanica admota, ſcilicet vectis, cu
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lb
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jus quaſi vicem gerit ſemidiameter circuli: </
s
>
<
s
id
="
N1EDD1
">porrò vectis centrum eſt
<
lb
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punctum contactus; </
s
>
<
s
id
="
N1EDD7
">dixi ſemidiametrum, non verò diametrum; </
s
>
<
s
id
="
N1EDDB
">quia to
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lb
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tum pondus globi non eſt appenſum extremæ diametro, ſed extremæ ſe
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lb
/>
midiametro in hoc caſu; illa autem extremitas eſt centrum grauitatis
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globi. </
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>
</
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id
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type
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">
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<
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Corollarium
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emph.end
type
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italics
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7.
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type
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</
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<
p
id
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type
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">
<
s
id
="
N1EDF5
">Septimò, hinc etiam apparet analogia impetus imperfectioris, qui pro
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ducitur verſus centrum vectis, & illius, qui producitur in mobili per
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lb
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planum inclinatum; </
s
>
<
s
id
="
N1EDFD
">nam ideo eſt imperfectior, qui producitur verſus
<
lb
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centrum vectis, quia temporibus æqualibus partes mobiles vectis, quæ
<
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ſunt verſus centrum acquirunt ſpatia inæqualia ſcilicet, minora, & mi
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lb
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nora in infinitum; </
s
>
<
s
id
="
N1EE07
">ita prorſus in planis inclinatis cum acquirantur tem
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/>
poribus æqualibus ſpatia inæqualia; </
s
>
<
s
id
="
N1EE0D
">minora certè in longioribus, ſup
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lb
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poſita dumtaxat eadem perpendiculi altitudine debet produci impetus
<
lb
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imperfectior; nam ex imperfectione effectus id eſt motus, benè colligitur
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imperfectio cauſæ id eſt impetus. </
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>
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Collorarium
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8.
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</
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<
p
id
="
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type
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">
<
s
id
="
N1EE27
">Octauò denique, mirabile eſt, quî fieri poſſit, vt eadem potentia quæ
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lb
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totas ſuas vires exerens globum proiicit per lineam verticalem ad al
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titudinem vnius pollicis, id eſt quæ proiicere tantùm poteſt per ſpatium
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lb
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digitale, per omnes tamen inclinatas, quæ ad extremitatem huius per
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lb
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pendiculi duci poſſunt, cuiuſcunque ſint longitudinis, non auctis viri
<
lb
/>
bus proiiciat; quis hoc crederet? </
s
>
<
s
id
="
N1EE35
">niſi manifeſta cogeret demonſtratio,
<
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/>
quam habes in Th.20.27. &c. </
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>
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</
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id
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"> </
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