Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
text
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<
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<
chap
id
="
N24CC8
">
<
p
id
="
N25543
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type
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main
">
<
s
id
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N2554F
">
<
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pagenum
="
343
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xlink:href
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026/01/377.jpg
"/>
eſt aloga, hoc eſt ita inæqualis, vt nulla ſit vtrique pars aliquota commu
<
lb
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munis; </
s
>
<
s
id
="
N25560
">alogæ quidem in ordine ad commenſurationem, non tamen in
<
lb
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ordines ad partes aliquotas; </
s
>
<
s
id
="
N25566
">ſic maior arcus comparatus cum linea recta
<
lb
/>
ſubdupla non eſt alogus primo modo ſed
<
expan
abbr
="
ſecũdo
">ſecundo</
expan
>
, id eſt illa linea, quæ eſt
<
lb
/>
ſubdupla arcus, non poteſt conuenire cum arcu toto, nec cum aliqua
<
lb
/>
eius parte; </
s
>
<
s
id
="
N25574
">ſi verò ſint æquales, poſſunt etiam dici alogæ in ordine ad
<
lb
/>
commenſurationem, ſi nullo modo conuenire poſſunt quamtumuis diui
<
lb
/>
dantur; </
s
>
<
s
id
="
N2557C
">ſic angulus, quem faciunt duæ circumferentiæ, poteſt quidem eſſe
<
lb
/>
ęqualis angulo dato rectilineo; </
s
>
<
s
id
="
N25582
">nunquam tamen cum eo conuenire po
<
lb
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teſt; </
s
>
<
s
id
="
N25588
">ſic arcus æqualis rectæ, ſic denique punctum curuum æquale puncto
<
lb
/>
plano; </
s
>
<
s
id
="
N2558E
">licèt enim totum punctum tangatur ab alîo puncto, non tamen
<
lb
/>
adæquatè, quia extenſio vnius eſt aloga cum extenſione alterius; </
s
>
<
s
id
="
N25594
">analo
<
lb
/>
giam habes in duobus Angelis; </
s
>
<
s
id
="
N2559A
">quorum vnus figuram ſphæricam
<
expan
abbr
="
pedalẽ
">pedalem</
expan
>
<
lb
/>
induat, alter cubicam, & alter alterum tangat; </
s
>
<
s
id
="
N255A4
">nam reuerâ totus Angelus
<
lb
/>
tangitur, quia caret partibus, non tamen adæquatè, vt certum eſt; </
s
>
<
s
id
="
N255AA
">immò
<
lb
/>
poſſet Angelus cuius eſt figura ſphærica, ita duobus aliis, quorum eſſet
<
lb
/>
figura cubica adhærere, vt
<
expan
abbr
="
vtriq;
">vtrique</
expan
>
inadæquatè adhæreret v.g. Angelus A
<
lb
/>
punctis BC ita vt ipſum punctum contactus eſſet in ipſa quaſi commiſ
<
lb
/>
ſura: </
s
>
<
s
id
="
N255BC
">immò poteſt Angelus, cuius eſt figura ſphærica habere diuerſos con
<
lb
/>
tactus inadæquatos in tota facie Angeli, cuius eſt figura cubica v.g. An
<
lb
/>
gelus A vel in D vel in E, vel in F; </
s
>
<
s
id
="
N255C6
">immò ſunt infiniti potentia huiuſmodi
<
lb
/>
inadæquatè diuerſi; </
s
>
<
s
id
="
N255CC
">denique Angelus A poteſt longo tempore in ſuper
<
lb
/>
ficie v.g. Angeli C ſucceſſiuè moueri, acquirendo ſcilicet nouos conta
<
lb
/>
ctus inadæquatos; </
s
>
<
s
id
="
N255D6
">vocetur autem contactus E centralis, ſeu medius; con
<
lb
/>
tactus verò B extremus. </
s
>
</
p
>
<
p
id
="
N255DC
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type
="
main
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<
s
id
="
N255DE
">16. Nec A eſt; </
s
>
<
s
id
="
N255E1
">quòd aliqui neſcio quas partes viruales in angelo ex
<
lb
/>
tenſo agnoſcant, quæ certè à me concipi non poſſunt; </
s
>
<
s
id
="
N255E7
">niſi fortè aliquid
<
lb
/>
extrinſecum ſonent, ſcilicet Angelum extenſum multis ſimul partibus
<
lb
/>
alicuius corporis coextendi poſſe; </
s
>
<
s
id
="
N255EF
">vnde fit ſingulis inadæquatè coexten
<
lb
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di; quod nemo negabit; </
s
>
<
s
id
="
N255F5
">ſed ne dici moremur in hac materia, quam hîc
<
lb
/>
ex profeſſo non tractamus; </
s
>
<
s
id
="
N255FB
">cettum eſt iuxta hanc hypotheſim punctorum
<
lb
/>
phyſicorum facilè explicari motum rotæ Ariſtotelicæ: </
s
>
<
s
id
="
N25601
">quippe dum pun
<
lb
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ctum quod proximè accedit ad C in arcu CH incubat puncto plani C
<
lb
/>
E, quòd immediatè ſequitur C, idque centrali contactu punctum, quod
<
lb
/>
proximè ſequitur B in arcu BD, quem ſubduplum CH ſuppono, tangit
<
lb
/>
punctum, quod ſequitur immediatè B in plano BF contactu extremo, id
<
lb
/>
eſt commiſſura puncti B & alterius contactu medio, tangit
<
expan
abbr
="
punctũ
">punctum</
expan
>
plani
<
lb
/>
quod probatur; </
s
>
<
s
id
="
N25615
">quia punctum, quod immediatè ſequitur B in arcu BDC
<
lb
/>
quod vocabimus deinceps ſecundum, tangit contactu tertium punctum
<
lb
/>
plani BF eo inſtanti, quo tertium punctum arcus CH tangit contactu
<
lb
/>
medio tertium plani CE; igitur eo inſtanti, quo ſecundum CH tangit
<
lb
/>
contactu medio ſecundum CE, ſecundum BD tangit contactu extremo
<
lb
/>
primum BF, extremo inquam ratione puncti arcus, non ratione puncti
<
lb
/>
plani. </
s
>
</
p
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<
p
id
="
N25625
"
type
="
main
">
<
s
id
="
N25627
">17. Si verò eſſet maior rota, eîuſque contactus eſſet inter BC, eſſent </
s
>
</
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</
chap
>
</
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</
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</
archimedes
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