Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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pagenum
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349
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xlink:href
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026/01/383.jpg
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mittuntur plumæ, plumas ipſas præit propter rationem prædictam; </
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<
s
id
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N25A78
">nam
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aëra faciliùs diuidit; </
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<
s
id
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N25A7E
">ſecundò vertiginem illam habet, de qua ſuprà; </
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<
s
id
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N25A82
">quia
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aër quaſi reuerberat,
<
expan
abbr
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torquetq;
">torquetque</
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>
plumas; de hoc motu paulò pòſt agemus. </
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</
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<
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<
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Theorema
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12.
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<
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Cum Cylindrus ita dimittitur, vt altera extremitas motu circulari praeat,
<
lb
/>
remanente initio aliquo centro immobili, deſcendit motu mixto ex recto &
<
lb
/>
circulari
<
emph.end
type
="
italics
"/>
; </
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>
<
s
id
="
N25AAA
">vt conſtat ex iis, quæ diximus de globo deorſum cadente hoc
<
lb
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genere motus; ſunt tamen hîc multa obſeruanda. </
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>
<
s
id
="
N25AB0
">Primò omnes partes
<
lb
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globi initio moueri, ſed inæqualiter, cùm tamen aliqua pars cylindri non
<
lb
/>
moueatur. </
s
>
<
s
id
="
N25AB7
">Sit enim cylindrus AC ita innixus B, vt liberè moueri poſſit; </
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>
<
s
id
="
N25ABB
">
<
lb
/>
haud dubiè, cùm non ſit æquilibrium, ſegmentum BC præualebit; </
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>
<
s
id
="
N25AC0
">igitur
<
lb
/>
circa centrum B extremitas C deſcendet per arcum CD, & A per arcum
<
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AE; donec tandem punctum B moueatur per rectam BF, ſeu per aliam
<
lb
/>
proximè accedentem, ſi. </
s
>
<
s
id
="
N25ACA
">tantillùm à plano BF repellatur; </
s
>
<
s
id
="
N25ACE
">punctum verò
<
lb
/>
C motu mixto ex recto deorſum, & circulari circa B; </
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>
<
s
id
="
N25AD4
">ea tamen lege, vt
<
lb
/>
motus orbis nullo modo acceleretur, ſed tantùm motus centri; igitur
<
lb
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hic motus conſtat ex motu centri accelerato, & motu orbis quaſi æqua
<
lb
/>
bili, cuius linea deſcribi poteſt, vt videbimus l. 12. dixi, ferè æquabilem,
<
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/>
quia aliquid deſtruitur ſingulis inſtantibus ratione nouæ determinatio
<
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nis, vt diximus ſuprà cum de motu circulari, ſed parùm pro nihilo repu
<
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tatur. </
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Scholium.
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<
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<
s
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">Obſerua 1°. </
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<
s
id
="
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">eſſe plures huius motus mixti ſpecies. </
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>
<
s
id
="
N25AFC
">Primò eſt mixtus
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lb
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ex motu centri & motu orbis æquali. </
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>
<
s
id
="
N25B01
">Secundo ex 1°. </
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>
<
s
id
="
N25B04
">maiore & 2°. </
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>
<
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">mi
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nore. </
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>
<
s
id
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">Tertiò ex 1°. </
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>
<
s
id
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">minore & 2°. </
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<
s
id
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N25B12
">maiore. </
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>
<
s
id
="
N25B15
">Quartò ex 1°. </
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>
<
s
id
="
N25B18
">accelerato 2°.
<
lb
/>
</
s
>
<
s
id
="
N25B1C
">æquabili Quintò ex 1°. </
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>
<
s
id
="
N25B1F
">accelerato 2°. </
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>
<
s
id
="
N25B22
">retardato. </
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>
<
s
id
="
N25B25
">Sextò ex vtroque retar
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/>
dato. </
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>
<
s
id
="
N25B2A
">Septimò ex vtroque accelerato. </
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>
<
s
id
="
N25B2D
">Octauò ex 1°. </
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>
<
s
id
="
N25B30
">æquabili 2°. </
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<
s
id
="
N25B33
">accele
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rato.Nono ex 1°. </
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<
s
id
="
N25B38
">retardato 2°. </
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>
<
s
id
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N25B3B
">accelerato. </
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<
s
id
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N25B3E
">Decimò ex 1°. </
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>
<
s
id
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N25B41
">æquabili 2°. </
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<
s
id
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N25B44
">ac
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celerato.Vndecimò ex 1°. </
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>
<
s
id
="
N25B49
">æquabili 2°. </
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>
<
s
id
="
N25B4C
">retardato &c. </
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>
<
s
id
="
N25B4F
">nec enim hîc deeſt
<
lb
/>
maxima motuum ſylua, quorum tamen, quia eſt eadem ratio, nimis acu
<
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ratam diſtributionem omittimus, non facilè haberi poteſt; </
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>
<
s
id
="
N25B57
">cùm enim
<
lb
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ſint tres termini, ſcilicet æquabilis, retardatus, acceleratus, erunt 9.
<
lb
/>
combinationes; </
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>
<
s
id
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N25B5F
">& cùm ſingulæ tres differentias habeant; nam vel mo
<
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tus orbis eſt æqualis motui centri, vel maior, vel minor, ducantur 9.in 3.
<
lb
/>
& erunt 27. </
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<
s
id
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">Obſerua ſecundò centrum motus poſſe vel propiùs accedere ad A
<
lb
/>
v.g.ſi eſſet in G, vel ad C v.g. ſi eſſet Z. ſi primum, maior eſt motus orbis,
<
lb
/>
id eſt velocior, licèt pauciores circuitus fiant; </
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>
<
s
id
="
N25B73
">quia extremitas C ma
<
lb
/>
iorem arcum deſcribens plùs temporis in deſcenſu ponit; </
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>
<
s
id
="
N25B79
">igitur maio
<
lb
/>
rem velocitatem acquirit; ſi verò ſecundum, è contrario. </
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<
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<
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type
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<
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Theorema
<
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type
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13.
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Cum cylindrus proijcitur ſurſum it a vt aliquod punctum rectà feratur, cir
<
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/>
ca quod voluitur cylindrus, </
s
>
<
s
id
="
N25B98
">est motus mixtus ex recto centri, & circulari orbis,
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type
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"/>
</
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</
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