Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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id
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s.002885
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pagenum
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538
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xlink:href
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010/01/546.jpg
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CD ab AM, adhùc reliqua tota eius portio DB ne
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ctitur,
<
expan
abbr
="
tãgitque
">tangitque</
expan
>
<
expan
abbr
="
portionẽ
">portionem</
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ſubiectam MB; poſtea per
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ſeuerante violentia diuelli
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id.010.01.546.1.jpg
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xlink:href
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184
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<
lb
/>
tur ſecunda particula DE ab
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lb
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MN,
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expan
abbr
="
perſeuerãte
">perſeuerante</
expan
>
contactu in
<
lb
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tota longitudine EB, deinde
<
lb
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tertia particula EF ſolummo
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lb
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dò ab NO ſegregatur, & ſic
<
lb
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conſequentes reliquæ omnes
<
lb
/>
particulæ vna poſt aliam: Et
<
lb
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hìc
<
expan
abbr
="
notãdũ
">notandum</
expan
>
eſt, quòd ſi in plano CB particulę CD, DE,
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lb
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EF; non eſſent quantæ, ſed lineæ tranſuerſales, aut
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puncta indiuiſibilia, quæ conſequentèr diuelleren
<
lb
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tur in ſingulis inſtantibus
<
expan
abbr
="
tẽporis
">temporis</
expan
>
, procùl dubio pla
<
lb
/>
nities CB degeneraret transformaretur que in
<
expan
abbr
="
curuã
">curuam</
expan
>
<
lb
/>
ſuperficiem, quod profectò contingere
<
expan
abbr
="
nõ
">non</
expan
>
poſſet, niſi
<
lb
/>
ſolida lamina CB conſtaret ex lineis tranſuerſalibus,
<
lb
/>
aut ex punctis actu inter ſe diuiſis contiguiſque, eò
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lb
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quòd diuerſimodè moueri, &
<
expan
abbr
="
trãſponi
">tranſponi</
expan
>
,
<
expan
abbr
="
debẽt
">debent</
expan
>
ad hoc
<
lb
/>
vt perfectam
<
expan
abbr
="
curuitatẽ
">curuitatem</
expan
>
acquirere poſſint. </
s
>
<
s
id
="
s.002886
">At ſi lami
<
lb
/>
na ex particulis quantis corporeis conſtaret,
<
expan
abbr
="
quarũ
">quarum</
expan
>
<
lb
/>
quælibet omninò dura, & inflexibilis fuiſſet, licèt
<
lb
/>
poſt inflexionem curuitatis apparentiam
<
expan
abbr
="
sẽſibus
">senſibus</
expan
>
re
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lb
/>
pręſentaret, tamen figuram quamdam polyhedram
<
lb
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ex pluribus planis CD, DE, EF, &c:
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abbr
="
compoſitã
">compoſitam</
expan
>
effi
<
lb
/>
ceret, & tunc licèt prædictæ planitieculæ ſucceſſiuo
<
lb
/>
motu vna poſt aliam à ſubiecto plano diuellerentur,
<
lb
/>
<
expan
abbr
="
tamẽ
">tamen</
expan
>
vnaquæque earum ob natiuam eius duritiem
<
lb
/>
inflexibilem tota ſimùl, & in inſtanti ſepararetur à
<
lb
/>
ſubiecto plano. </
s
>
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