Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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N2089E
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main
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N208B5
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<
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026/01/294.jpg
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impetum æqualem; </
s
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<
s
id
="
N208BE
">igitur retro agitur velociore motu in eadem propor
<
lb
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tione qua alter globus maior eſt altero, v.g. ſi maior eſt duplus, retroa
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getur motu duplo illius, quo ſuum iter proſequeretur, niſi maior globus
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occurreret; </
s
>
<
s
id
="
N208CA
">at verò globus maior duplus ſcilicet alterius non retroage
<
lb
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tur; </
s
>
<
s
id
="
N208D0
">quippè ſi minor globus conſiſteret in puncto contactus, maior glo
<
lb
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bus ſuum iter proſequeretur motu ſubduplo; </
s
>
<
s
id
="
N208D6
">quippe determinatio noua
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lb
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eſſet ſubdupla prioris, vt patet ex Th.66. ſed accipit etiam impetum ſub
<
lb
/>
duplum illius, quem habet, igitur determinatio noua eſt compoſita ex
<
lb
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duabus ſubduplis; </
s
>
<
s
id
="
N208E0
">igitur eſt æqualis priori; </
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>
<
s
id
="
N208E4
">igitur
<
expan
abbr
="
nõ
">non</
expan
>
retroagetur, ſed con
<
lb
/>
ſiſtet ſi duplus eſt; ſi verò maior duplo ſuum iter proſequetur ſed minore
<
lb
/>
motu pro rata, ſi minor duplo retroagetur. </
s
>
<
s
id
="
N208F0
">Hinc egregium effatum, ſi duo
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lb
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globi in ſe ſe inuicem allidantur æquali motu, ſi maior duplus eſt, conſi
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lb
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ſtet ad punctum contactus; </
s
>
<
s
id
="
N208F8
">ſi maior duplo ſuum iter proſequetur; ſi mi
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lb
/>
nor reflectetur; </
s
>
<
s
id
="
N208FE
">quod ſi motu inæquali mouentur, vel maior mouetur
<
lb
/>
maiori motu, vel minor; </
s
>
<
s
id
="
N20904
">ſi maior, minor retroagetur, maior verò vel re
<
lb
/>
troagetur, vel conſiſtet, vel eadem via mouebitur; </
s
>
<
s
id
="
N2090A
">retroagetur quidem, ſi
<
lb
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noua determinatio compoſita ſcilicet ex impetu impreſſo à minore glo
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bo, & determinatione reflexionis quam conferet globus minor, etiamſi
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lb
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quieſceret; </
s
>
<
s
id
="
N20914
">ſi noua inquam determinatio ſit maior priore; </
s
>
<
s
id
="
N20918
">conſiſtet verò,
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ſi fit æqualis; </
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>
<
s
id
="
N2091E
">ſuum denique iter proſequetur, ſi ſit minor: quæ omnia ex
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dictis facilè determinari poſſunt. </
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>
</
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<
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id
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N20924
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type
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main
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<
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id
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N20926
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emph
type
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center
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<
emph
type
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italics
"/>
Theorema
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emph.end
type
="
italics
"/>
71.
<
emph.end
type
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center
"/>
</
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</
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<
p
id
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N20932
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type
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main
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<
s
id
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N20934
">
<
emph
type
="
italics
"/>
Si verò duo globi inæquales in ſeſe inuicem impingantur per lineas obliquas,
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ſunt quoque tres combinationes
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emph.end
type
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italics
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; </
s
>
<
s
id
="
N2093F
">vel enim vterque impingitur motu æquali,
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lb
/>
vel maior globus maiore motu, vel minor; vt autem habeatur linea, ſeu
<
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/>
determinatio cuiuſlibet globi, ſupponi debet primò linea incidentiæ al
<
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terius v.g. maioris. </
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>
<
s
id
="
N2094B
">
<
expan
abbr
="
Secũdò
">Secundò</
expan
>
ſupponi debet minor quieſcere. </
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>
<
s
id
="
N20951
">Tertiò, inue
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niri noua determinatio, quæ confertur maiori à minore quieſcente, quæ
<
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facilè inueniri poteſt cognita determinatione noua, quam conferret ſi
<
lb
/>
linea incidentiæ eſſet perpendicularis; Quartò, debet inueniri determi
<
lb
/>
natio noua quæ confertur à minore maiori ratione impetus, quæ facilè
<
lb
/>
inueniri poteſt cognita determinatione huius impetus per lineam per
<
lb
/>
pendicularem. </
s
>
<
s
id
="
N20961
">Quintò, debet componi determinatio noua ex vtraque. </
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>
<
s
id
="
N20964
">
<
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Sextò denique, ex his habebitur determinatio mixta ex hac compoſita, &
<
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linea incidentiæ producta, quod facilè ex dictis intelligitur; ſimiliter, vt
<
lb
/>
habeatur reflexo minoris, debent eadem præſupponi in maiore. </
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>
</
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>
<
p
id
="
N2096D
"
type
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main
">
<
s
id
="
N2096F
">Obiiceret hic ſortè aliquis mirari ſe quamobrem duo globi æquales
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in ſeſe inuicem æquali motu impinguntur vterque retroagatur, cùm po
<
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tiùs vterque conſiſtere deberet: quemadmodum quieſcit globus cui im
<
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primuntur duo impetus contrarij, hoc eſt ad lineas oppoſitas determi
<
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nati. </
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>
<
s
id
="
N2097B
">Reſpondeo cum eodem inſtanti eidem globo duplex ille impetus
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imprimitur, non videri vllam rationem, cur alter præualeat; </
s
>
<
s
id
="
N20981
">at verò vbi
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iam impetus eſt productus, poteſt ad aliam lineam determinari, vt patet; </
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>
<
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id
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N20987
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igitur ratione determinationis nouæ, quæ eſt æqualis priori deſtruitur; </
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