Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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type
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main
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<
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id
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s.002680
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<
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pagenum
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156
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xlink:href
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figure
id
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place
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86
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<
lb
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ctum A, tanquam circa
<
expan
abbr
="
centrũ
">centrum</
expan
>
, aut axem
<
lb
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ita fixum, vt ipſi libræ conuerſio innita
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tur, quæ eſt altera libræ poſitio. </
s
>
<
s
id
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s.002681
">Quærit
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lb
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igitur, cur ſi in libra ſurſum
<
expan
abbr
="
habẽte
">habente</
expan
>
per
<
lb
/>
pendiculum, & centrum, ponatur ex vna
<
lb
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parte onus quodpiam, v. g. in parte B, vt in prima textus figura factum eſt,
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lb
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libra de primo ſitu B C, mouetur ad ſitum E H, ſed tamen ablato pondere
<
lb
/>
reuertitur ſua ſpontè ad priſtinum ſitum B C. ſi autem in libra, cuius per
<
lb
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pendiculum, ac centrum deorſum ſit, vt in ſecunda figura textus, pondus
<
lb
/>
imponatur, ipſa quidem à ſitu B C, ad ſitum O R, transferretur; verumta
<
lb
/>
men ablato onere,
<
expan
abbr
="
nõ
">non</
expan
>
amplius ad priorem poſitionem, vti prior, reuertitur.</
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>
</
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>
<
p
type
="
main
">
<
s
id
="
s.002682
">Huic quæſtioni, vt reſpondeat, tacitè ſupponit omne graue tendere de
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lb
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orſum, hoc pacto, vt centrum grauitatis ipſius tendat per lineam rectam
<
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ad mundi centrum ab ipſo grauitatis centro protractam, quam lineam Di
<
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rectionis Recentiores appellant. </
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>
<
s
id
="
s.002683
">ſciendum autem centrum grauitatis eſſe
<
lb
/>
punctum quoddam in quolibet graui, ex quo ſi graue illud ſuſpendatur, ſem
<
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per manet in æquilibrio, nec vnquam poſitionem reſpectu ſuarum partium
<
lb
/>
mutat, quamuis ita ſuſpenſum huc illuc transferatur. </
s
>
<
s
id
="
s.002684
">Ita Pappus Alexan
<
lb
/>
drinus initio octaui libri Mathematicarum collectionum. </
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>
<
s
id
="
s.002685
">Totius igitur li
<
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/>
bræ abſque onere centrum grauitatis eſſet circa punctum D, quod eſſet di
<
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ſtinctum à centro circumuolutionis A. quod grauitatis centrum, ſemper
<
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quantum fieri poteſt, ſi nihil obſtet, centro mundi appropinquat; & propte
<
lb
/>
rea facit, vt prior libra ſine onere ſuſpenſa in A, in æquilibrio, atque hori
<
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zonti parallela permaneat, ſtante enim D, centro mundi maximè propin
<
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quo, ſiue in loco humillimo, erit inter punctum A, & centrum mundi, ac
<
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conſequenter in linea directionis. </
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>
<
s
id
="
s.002686
">quæ linea directionis in prima figura
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textus eſſet eadem cum perpendiculo A D M, manente libra ſine pondere
<
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/>
horizonti parallela; in
<
expan
abbr
="
ſecũda
">ſecunda</
expan
>
autem figura textus coincideret pariter cum
<
lb
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perpendiculo K L M, antequam libra ob impoſitum onus ab æquilibrio di
<
lb
/>
moueretur. </
s
>
<
s
id
="
s.002687
">per hanc enim lineam centrum grauitatis libræ, quod eſt propè
<
lb
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puncta D, & L, tenderet ad mundi centrum, ſi libra liberè ad centrum mun
<
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di dilaberetur. </
s
>
<
s
id
="
s.002688
">his præmiſſis ſic quæſtioni ſatisfacit, & primò primæ parti,
<
lb
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quando nimirum ſpartum ſupernè collocatum eſt. </
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>
<
s
id
="
s.002689
">Ratio igitur, cur tunc li
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bra amoto pondere ad horizontis æquilibrium reuertatur eſt, quia pondus
<
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/>
libræ impoſitum in altera tantum libræ parte, grauitando impellit libram
<
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ad alium ſitum E H, ita vt maior pars libræ conſtituatur ex altera parte li
<
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neæ directionis prioris A D M, in qua etiam parte exiſtit centrum grauita
<
lb
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tis libræ ipſius, eſt enim circa D, quod centrum vi ponderis incumbentis in
<
lb
/>
E, cogitur paulùm aſcendere,
<
expan
abbr
="
atq;
">atque</
expan
>
contra ipſius naturalem inclinationem à
<
lb
/>
mundi centro recedere, vt ſi in libra B C, appendatur onus in B, vt in pri
<
lb
/>
ma textus figura; B, deſcendet ad E, & C, aſcendet ad H, & centrum graui
<
lb
/>
tatis D, paulùm aſcendet à centro mundi, & linea A D M, quæ libram bi
<
lb
/>
fariam ſecabat modo tranſlato perpendiculo in A D G, non amplius cam
<
lb
/>
bifariam ſecabit; ſed libræ E H, maior pars erit vltra perpendiculum A D
<
lb
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M, quæ maior pars eſt D D H.</
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>
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type
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">
<
s
id
="
s.002690
">Si igitur nunc onus amoueatur libræ E H, centrum grauitatis, quod eſt </
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>
</
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</
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body
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</
text
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</
archimedes
>