Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
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<
body
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<
chap
id
="
N2136B
">
<
p
id
="
N21A0E
"
type
="
main
">
<
s
id
="
N21A1D
">
<
pb
pagenum
="
279
"
xlink:href
="
026/01/313.jpg
"/>
illo inſtanti pluſquam punctum ſpatij; </
s
>
<
s
id
="
N21A26
">igitur eodem inſtanti erit in
<
lb
/>
duobus loris, quod eſt abſurdum; </
s
>
<
s
id
="
N21A2C
">nec poteſt dici punctum C moueri
<
lb
/>
duobus inſtantibus, ſed minoribus, quæ ſcilicet reſpondeant inſtanti, quo
<
lb
/>
mouetur punctum
<
expan
abbr
="
q;
">que</
expan
>
quia ſi poſt primum inſtans C ſiſteret, Q mouere
<
lb
/>
tur adhuc, quod eſt abſurdum; nam ſimul incipit, & deſinit moueri,
<
lb
/>
cum puncto C. </
s
>
<
s
id
="
N21A3D
">Equidem non poteſt explicari maior velocitas motus C
<
lb
/>
per inſtantia minora, vt patet; igitur per ſpatia maiora. </
s
>
<
s
id
="
N21A43
">Itaque reſpon
<
lb
/>
deo ſi C & Q mouentur in eodem radio conjunctim non poſſe pun
<
lb
/>
ctum K acquirere punctum ſpatij nullo modo participans cum priori,
<
lb
/>
ſed participans; </
s
>
<
s
id
="
N21A4D
">licèt enim punctum ſpatij careat partibus actu, habet
<
lb
/>
tamen partes potentia, vt explicabimus fusè ſuo loco; </
s
>
<
s
id
="
N21A53
">ſunt enim vbica
<
lb
/>
tiones communicantes, & non communicantes, quod explico in Ange
<
lb
/>
lo ſit enim Angelus coëxtenſus quadrato FC, (quam hypotheſim
<
lb
/>
nemo negabit;) ſit alius æqualis extenſionis coëxtenſus quadrato HE,
<
lb
/>
qui conſiſtat dum primus Angelus mouetur; </
s
>
<
s
id
="
N21A5F
">certè ita moueri poteſt, vt
<
lb
/>
primo inſtanti occupet ſpatium CK, & coëxtendatur alteri Angelo, vt
<
lb
/>
certum eſt; </
s
>
<
s
id
="
N21A67
">quippè vnico inſtanti locum ſibi adæquatum occupare po
<
lb
/>
teſt; </
s
>
<
s
id
="
N21A6D
">vel ita moueri poteſt, vt primo inſtanti occupet ſpatium GD, &
<
lb
/>
coëxtendatur quidem alteri Angelo ſed inadæquatè: </
s
>
<
s
id
="
N21A73
">his poſitis, ſpatium
<
lb
/>
HE comparatum cum ſpatio FC eſt non communicans; </
s
>
<
s
id
="
N21A79
">ſpatium verò
<
lb
/>
GD communicans, tum cum HE, tum cum HA, poſſunt autem dari
<
lb
/>
huiuſmodi ſpatia in infinitum plùs vel minùs participantia v. g. LM
<
lb
/>
plus participat de AC quam BD, & BD pluſquam NO; </
s
>
<
s
id
="
N21A87
">igitur non
<
lb
/>
eſt dubium quin Angelus moueatur eo tardiùs, ſuppoſito æquali tempo
<
lb
/>
re, quo acquirit ſpatium plùs participans de priore; </
s
>
<
s
id
="
N21A8F
">vnde quando vno
<
lb
/>
inſtanti acquirit ſpatium non communicans HE, non poteſt velociùs
<
lb
/>
moueri illo inſtanti, vel æquali; </
s
>
<
s
id
="
N21A97
">nec poteſt motus eſſe velocior ratione
<
lb
/>
ſpatij, licèt poſſit eſſe ratione temporis; quia ſpatium HE acquirere po
<
lb
/>
teſt minore inſtanti. </
s
>
<
s
id
="
N21A9F
">Quod dicitur de Angelo, dicatur de puncto phyſi
<
lb
/>
co; cuius extenſio eſt quidem indiuiſibilis actu vt extenſio Angeli diui
<
lb
/>
ſibilis tamen potentia in infinitum. </
s
>
</
p
>
<
p
id
="
N21AA7
"
type
="
main
">
<
s
id
="
N21AA9
">His poſitis, motus extremitatis radij dirigit motum aliorum puncto
<
lb
/>
rum verſus centrum; ſed punctum extremitatis radij non poteſt
<
lb
/>
dato inſtanti moueri velociùs quàm ſi punctum ſpatij non communi
<
lb
/>
cans acquirat, quo poſito nullum aliud punctum radij acquirit eodem
<
lb
/>
inſtanti ſpatium non communicans. </
s
>
</
p
>
<
p
id
="
N21AB5
"
type
="
main
">
<
s
id
="
N21AB7
">Dices, ponamus punctum extremitatis facta acceſſione noui ſegmenti
<
lb
/>
moueri eadem velocitate, quâ priùs mouebatur, cum terminabat radium; </
s
>
<
s
id
="
N21ABD
">
<
lb
/>
igitur acquirit punctum ſpatij non participans; igitur extremitas noua
<
lb
/>
illo inſtanti acquirit pluſquam punctum. </
s
>
<
s
id
="
N21AC4
">Reſpondeo, ſi addatur extremi
<
lb
/>
tas noua facta ſcilicet acceſſione noui ſegmenti, poſito quod punctum
<
lb
/>
prioris extremitatis moueatur æquè velociter ac priùs; </
s
>
<
s
id
="
N21ACC
">certè noua ex
<
lb
/>
tremitas velociùs mouebitur priore, vt conſtat; </
s
>
<
s
id
="
N21AD2
">igitur inſtanti minore
<
lb
/>
acquiret ſpatium non communicans; igitur hoc inſtanti minore prior
<
lb
/>
extremitas acquirit ſpatium communicans. </
s
>
<
s
id
="
N21ADA
">Ex his vides velocitatem </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>