Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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23
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Eſto A B C, peripheria ſemidiametri maioris A E: item
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D F G, peripheria ſemidiametri D H minoris. </
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<
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id
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riam A B C maiorem peripheria D F G. </
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<
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id
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id.000524
">Producatur enim A E
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recta vt ſit A C
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diameter poſtul.
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2.
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<
expan
abbr
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itẽ
">item</
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D H vt ſit
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& D G diame
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ter. </
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<
s
id
="
id.000525
">Quia igi
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tur vt diameter
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A C ad
<
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abbr
="
ſuã
">ſuam</
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<
expan
abbr
="
peripheriã
">pe
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ripheriam</
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A B C:
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ita & D G diameter ad ſuam peripheriam D F G, per ea quæ
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demonſtrata ſunt ab Archimede prop. 3. lib. de dimenſ. circuli, &
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vicißim proportionales erunt A C diameter ad D G diametrum:
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vt peripheria A B C ad peripheriam D F G prop. 16. lib. 5. &
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quia A E & D H partes ſunt pariter multiplicium A C, D G
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vtpote ſemidiametri ſuarum diametrorum, erit A E ad D H vt
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A C ad D G prop. 15. lib. 5. ergo & peripheria A B C ad peri
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pheriam D F G: vt A E ad D H prop. 11. lib. eiuſdem. </
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<
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">Eſt
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autem A E maior: quam D H ex hypotheſi. </
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<
s
id
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id.000530
">Erit igitur peri
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pheria A B C maior: quam peripheria D F G. </
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>
<
s
id
="
id.000531
">Et ſic peripheria
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remotioris puncti à centro maior eſt peripheria puncti centro pro
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pinquioris, quod fuit demonſtrandum.
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<
foreign
lang
="
el
">dia\ de\ to\
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ta\s e)nanti/as kinh/seis a(/ma kinei=sqai to\n ku/klon, kai\ to\
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me\n e(/teron th=s diame/trou tw=n a)/krwn, e)f' ou(= to\ a, ei)s tou)/mprosqen
<
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kinei=sqai, qa/teron de/, e)f' ou(= to\ *b ei)s tou)/pisqen
<
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/>
kataskeua/zousi/ tines, w(/st' a)po\ mia=s kinh/sews pollou\s u(penanti/ous
<
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a(/ma kinei=sqai ku/klous, w(/sper ou(\s a)natiqe/asin e)n
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toi=s i(eroi=s; poih/santes troxi/skous xalkou=s te kai\ sidhrou=s.</
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>
</
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<
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id
="
g0120502
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<
foreign
lang
="
el
">
<
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ei) ga\r ei)/h tou= *a*b ku/klou a(pto/menos e(/teros ku/klos e)f' ou(=
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*g*d, tou= ku/klou, e)f' ou(= *a*b, kinoume/nhs th=s diame/trou
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ei)s tou)/mprosqen, kinhqh/setai h( *g*d ei)s tou)/pisqen tou= ku/klou
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tou= e)f' w(=| *a, kinoume/nhs th=s diame/trou peri\ to\ au)to/.</
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>
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<
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id
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g0120503
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<
foreign
lang
="
el
">ei)s
<
lb
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tou)nanti/on a)/ra kinhqh/setai o( e)f' ou(= *g*d ku/klos, tw=| e)f'
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ou(= to\ *a*b: kai\ pa/lin au)to\s to\n e)fech=s, e)f' ou(= *e*z, ei)s
<
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tou)nanti/on au(tw=| kinh/sei dia\ th\n au)th\n tau/thn ai)ti/an.</
foreign
>
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<
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id
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<
foreign
lang
="
el
">to\n au)to\n de\
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tro/pon ka)\n plei/ous w)=si, tou=to poih/sousin e(no\s mo/nou kinhqe/ntos.</
foreign
>
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<
s
id
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g0120602
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<
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lang
="
el
">
<
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tau/thn ou)=n labo/ntes u(pa/rxousan e)n tw=| ku/klw| th\n
<
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fu/sin oi( dhmiourgoi\ kataskeua/zousin o)/rganon kru/ptontes
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th\n a)rxh/n, o(/pws h)=| tou= mhxanh/matos fanero\n mo/non to\
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qaumasto/n, to\ d' ai)/tion a)/dhlon.
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</
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<
s
id
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id.000533
">Quod autem circulus
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<
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abbr
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cõtrariis
">contrariis</
expan
>
cieatur motibus,
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& alterum extremorum
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diametri in quo eſt A, dum
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mouetur antrorſum, alte
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rum in quo eſt B mouea
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tur retrorſum, ideo non
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nulli
<
expan
abbr
="
faciũt
">faciunt</
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, vt ab vna mo
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tione multi circuli ſimul
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in contraria moueantur:
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vt quos in deorum templis
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ſtatuunt, efficientes circu</
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