Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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<
s
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id.002410
">Præterea duro.]
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Alterum eſt quaſi problema quod nuci
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frangibulum durum & graue facilius frangat: quam ligneum &
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leue. </
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<
s
id
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id.002411
">Cum tamen contra euenire deberet. </
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<
s
id
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id.002412
">Siquidem graue quod eſt,
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difficilius emoueatur.
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<
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<
s
id
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id.002413
">An quia ſic vtrinque.]
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Demonſtratio eſt problematis ſic.
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Valide comprimentia compreſſum frangunt.
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type
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Nucifrangibulum validè nucem comprehenſam comprimit.
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</
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<
s
id
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id.002416
">quia duplicatus eſt vectis, vnum hypomochlium, vt in A
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commiſſura habentibus. </
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<
s
id
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id.002417
">Diductis enim B C extremis
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vectium E A B & F A C à viribus in E & F.
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alteris vectium extremis exiſtentibus, ſi ipſa compriman
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tur etiam B & C comprimentur. </
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<
s
id
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id.002418
">Quare & nux D in
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terpoſita, & valide compreſſa frangitur, tantò celerius:
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quantò extrema B & C minus diſtabunt ab hypomoch
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lio A. </
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<
s
id
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id.002419
">Sic enim aliæ partes vectium ab ipſo diſtantes
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maiorem rationem habebunt. </
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<
s
id
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id.002420
">Et proinde facilius moue
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bunt pondus mouendum, vt ante ſæpius eſt declaratum,
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Quare quod percuſsione, vel ictu pondus aliquod irruens
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in nucem feciſſet, id vectes compreßi certius faciunt. </
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id
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id.002421
">Sæpè
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enim ictum ob ſui
<
expan
abbr
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rotũditatem
">rotunditatem</
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>
nux eludit. </
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<
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id
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">Nam cum nux
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ſit rotunda, inſiſtat autem plano attingens ipſam puncto,
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& à plano mallei in puncto attingatur, facile elabitur, niſi
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ictus
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<
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">kat' i)/cin</
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>
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incidat in rectam, quæ coniungit hæc duo
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puncta.
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Itaque nucifrangibulum nucem facile ſine ictu franget.
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<
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id
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">Quantò igitur.]
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Repetitio eſt eiuſdem ſuperflua.
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">24.
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lang
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">*dia\ ti/ e)n tw=| r(o/mbw| e(ka/
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teron tw=n a)/krwn shmei/wn ou)
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th\n i)/shn eu)qei=an die/rxetai.</
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<
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id
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">24. Cur in Rhombo
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abbr
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alterũ
">alterum</
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>
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<
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abbr
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pũctorum
">punctorum</
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>
extremorum
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non æqualem rectam
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tranſit. </
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type
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<
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id
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id.002427
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<
foreign
lang
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el
">*dia\ ti/ ferome/nwn du/o fora\s e)n tw=| r(o/mbw| tw=n a)/krwn
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lb
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shmei/wn a)mfote/rwn, ou) th\n i)/shn e(ka/teron au)tw=n eu)qei=an die/rxetai,
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a)lla\ pollaplasi/an qa/teron; </
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>
</
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<
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id
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g0132302
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<
foreign
lang
="
el
">o( au)to\s de\ lo/gos kai\
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dia\ ti/ to\ e)pi\ th=s pleura=s fero/menon e)la/ttw die/rxetai th=s
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pleura\s. </
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<
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lang
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">to\ me\n ga\r th\n e)la/ttw dia/metron, h( de\ th\n
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pleura\n mei/zw, kai\ h( me\n mi/an, to\ de\ du/o fe/retai
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fora/s.</
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<
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<
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lang
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el
">fere/sqw ga\r e)pi\ th=s *a*b, to\ me\n *a pro\s to\ *b, to\
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de\ *b pro\s to\ *d, tw=| au)tw=| ta/xei: fere/sqw de\ kai\ h( *a*b
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e)pi\ th=s *a*g, para\ th\n *g*d tw=| au)tw=| ta/xei tou/tois.</
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<
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lang
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">a)na/gkh
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dh\ to\ me\n *a e)pi\ th=s *a*d diame/trou fe/resqai. </
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<
foreign
lang
="
el
">to\ de\ *b e)pi\
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th=s *b*g, kai\ a(/ma dielhluqe/nai e(kate/ran, kai\ th\n *a*b th\n
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*a*g pleura/n.</
foreign
>
</
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<
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">
<
foreign
lang
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el
">kai\ th\n *b*d th\n *b*a.</
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>
</
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<
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">
<
foreign
lang
="
el
">e)nhne/xqw ga\r to\ me\n *a, th\n *a*e, h( de\ *a
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*b, th\n *a*z, kai\ e)/stw e)kbeblhme/nh h( *z*h para\ th\n *a*b,
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kai\ a)po\ tou= *e peplhrw/sqw.</
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>
</
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<
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<
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lang
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">o(/moion ou)=n gi/netai to\ paraplhrwqe\n
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tw=| o(/lw|.</
foreign
>
</
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<
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id
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g0132307
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<
foreign
lang
="
el
">i)/sh a)/ra h( *a*z th=| *a*e: h( de\ *a*b th\n *a*z,
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ei)/h a)\n e)nhnegme/nh. </
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</
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<
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lang
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">e)/stai a)/ra e)pi\ th=s diame/trou kata\ to\ *q.</
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<
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<
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lang
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">
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kai\ ai)ei\ de\ a)na/gkh au)to\ fe/resqai kata\ th\n dia/metron.
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</
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<
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<
foreign
lang
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el
">kai\ a(/ma h( pleura\ h( *a*b, th\n pleura\n th\n *a*g di/eisi,
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kai\ to\ *a th\n dia/metron di/eisi th\n *a*d.</
foreign
>
</
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<
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<
foreign
lang
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el
">o(moi/ws de\ deixqh/setai
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kai\ to\ *b e)pi\ th=s *a*g diame/trou fero/menon. </
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</
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<
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id
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<
foreign
lang
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el
">i)/sh
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ga/r e)stin h( *b*e, th=| *b*h.</
foreign
>
</
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<
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id
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">
<
foreign
lang
="
el
">paraplhrwqe/ntos ou)=n a)po\ tou= *h,
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o(/moio/n e)sti tw=| o(/lw| to\ e)nto/s: kai\ to\ *b e)pi\ th=s diame/trou
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lb
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e)/stai kata\ th\n su/nayin tw=n pleurw=n, kai\ a(/ma di/eisin h(/
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te pleura\ th\n pleura\n, kai\ to\ *b th\n *b*g dia/metron.</
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>
</
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<
s
id
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g0132311
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<
foreign
lang
="
el
">
<
lb
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a(/ma a)/ra kai\ to\ *a th\n pollaplasi/an th=s *b*g di/eisi,
<
lb
/>
kai\ h( pleura\ th\n e)la/ttona pleura\n tw=| au)tw=| ta/xei fero/mena,
<
lb
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kai\ h( pleura\ *b*d mei/zw pleura\n tou= *b*g dielh/luqe mi/an fora\n
<
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ferome/nh.</
foreign
>
</
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>
<
s
id
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g0132312
">
<
foreign
lang
="
el
">o(/sw| ga\r a)\n o)cu/teros ge/nhtai o( r(o/mbos, h(
<
lb
/>
me\n dia/metros *a*g, h( e)la/ttwn gi/netai, h( de\ *a*d mei/zwn, h( de\
<
lb
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pleura\ th=s *b*g mei/zwn.</
foreign
>
</
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<
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<
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id
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id.002428
">Cur amborum extremo
<
lb
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rum
<
expan
abbr
="
pũctorum
">punctorum</
expan
>
duabus la
<
lb
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tionibus in rhombo lato
<
lb
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rum, alterum non tranſit
<
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æqualem rectam. </
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>
<
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id
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id.002429
">ſed alte</
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