Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
text
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<
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<
chap
id
="
N270EE
">
<
pb
pagenum
="
444
"
xlink:href
="
026/01/480.jpg
"/>
<
p
id
="
N2AB02
"
type
="
main
">
<
s
id
="
N2AB04
">Secundum & tertium hoc principio nituntur, motus impreſſi diuerſis
<
lb
/>
corporibus ab eadem potentia æquali tempore ſunt vt corpora permu
<
lb
/>
tando v.g.motus impreſſus corpori vnius libræ eſt ad motum impreſſum
<
lb
/>
corpori quatuor librarum vt 4.ad 1.æquali ſcilicet tempore quod clarum
<
lb
/>
eſt, igitur graue 4.librarum decurrit tantùm quartam partem arcus, igitur
<
lb
/>
ſecundo tempore æquali decurrit tres alias partes, vide quę diximus l.10. </
s
>
</
p
>
<
p
id
="
N2AB11
"
type
="
main
">
<
s
id
="
N2AB13
">Quartum nititur hoc principio ſpatia ſunt quadrata temporum, ve
<
lb
/>
locitates ſunt vt tempora, ictus vt velocitates. </
s
>
</
p
>
<
p
id
="
N2AB18
"
type
="
main
">
<
s
id
="
N2AB1A
">Quintum, ſextum, ſeptimum habent hoc commune principium: </
s
>
<
s
id
="
N2AB1E
">eadem
<
lb
/>
eſt proportio effectuum quæ cauſarum; </
s
>
<
s
id
="
N2AB24
">quippe cauſa quæ aquam excu
<
lb
/>
dit eſt pondus ſuperimpoſitum, igitur cum imprimat motum pluribus
<
lb
/>
partibus, velociorem imprimit ſingulis, igitur ex duplici capite creſcit
<
lb
/>
effectus, ſcilicet ex maiore
<
expan
abbr
="
quãtitate
">quantitate</
expan
>
aquæ & ex velociore motu; ſit enim
<
lb
/>
v.g.maior tubus quadruplus alterius cauſa eſt quadrupla, igitur duplam
<
lb
/>
quantitatem aquæ extrudet æquali tempore, quia duplo velociore motu. </
s
>
<
s
id
="
N2AB36
">
<
lb
/>
nam extrudere æqualem quantitatem duplo velociore motu eſt effectus
<
lb
/>
duplus; igitur duplam quantitatem extrudere duplo velociore motu eſt
<
lb
/>
effectus quadruplus, igitur eſt eadem proportio cauſę quæ effectus. </
s
>
<
s
id
="
N2AB3F
">De ſi
<
lb
/>
phone idem dictum eſto, præſtat enim
<
expan
abbr
="
eũdem
">eundem</
expan
>
effectum trahendo, quem
<
lb
/>
tubus aquæ pellendo, denique vnica vibratio chordæ tenſæ duplo velo
<
lb
/>
cior eſt effectus duplus, igitur duæ duplo velociores effectus quadruplus. </
s
>
</
p
>
<
p
id
="
N2AB4C
"
type
="
main
">
<
s
id
="
N2AB4E
">Octauum habet idem principium, nam chordæ eiuſdem longitudinis
<
lb
/>
ſunt vt baſes, ſit vna quadrupla alterius v. g. appendatur vtrique æquale
<
lb
/>
pondus, tenſio maioris eſt ſubquadrupla; </
s
>
<
s
id
="
N2AB5A
">igitur ſi huic appendatur pon
<
lb
/>
dus quadruplum ſonum edet duplo acutiorem; igitur baſes ſunt vt qua
<
lb
/>
drata ſonorum. </
s
>
</
p
>
<
p
id
="
N2AB62
"
type
="
main
">
<
s
id
="
N2AB64
">Nonum, & decimum nituntur hoc principio, lumen minus eſt in ea
<
lb
/>
proportione in qua plus diſtrahitur; igitur lumina ſunt vt baſes permu
<
lb
/>
tando, ſed baſes ſunt in ratione duplicata diſtantiarum, idem dico de ſono. </
s
>
</
p
>
<
p
id
="
N2AB6C
"
type
="
main
">
<
s
id
="
N2AB6E
">Duodecimum denique idem principium habet cum ſeptimo: </
s
>
<
s
id
="
N2AB72
">vis enim
<
lb
/>
illa ſeu niſus quo adducitur arteria æquiualet ponderi; ſed de his ſatis. </
s
>
</
p
>
<
p
id
="
N2AB78
"
type
="
main
">
<
s
id
="
N2AB7A
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Schol. quod pertinet ad reflexionem.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N2AB87
"
type
="
main
">
<
s
id
="
N2AB89
">Obſeruaſti in Th.8.l.6.quoſdam noluiſſe impetum in reflexione pro
<
lb
/>
duci propter compreſſionem, vel corporis reflexi, vel reflectentis, vel
<
lb
/>
vtriuſque, quod certè fieri non poteſt, alioquin ſit globus reflexus; </
s
>
<
s
id
="
N2AB91
">certè
<
lb
/>
comprimitur neceſſariò à puncto contactus verſus centrum quod certum
<
lb
/>
eſt; </
s
>
<
s
id
="
N2AB99
">igitur redit neceſſariò per lineam ductam à puncto contactus per
<
lb
/>
idem centrum quod falſum eſt vt patet; igitur eſt alia cauſa huius motus
<
lb
/>
ſcilicet præuius impetus. </
s
>
</
p
>
<
p
id
="
N2ABA1
"
type
="
main
">
<
s
id
="
N2ABA3
">Quidam etiam volunt hunc impetum produci ab ipſo corpore re
<
lb
/>
flectente quod tamen abſurdum eſt, alioquin per
<
expan
abbr
="
eãdem
">eandem</
expan
>
lineam ductam
<
lb
/>
à puncto contactus per centrum globi fieret reflexio, ſic enim globus
<
lb
/>
tantùm impelli poteſt, vt demonſtratum eſt lib.1. ſed de his fatis. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>