Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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168
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puncto
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<
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ex reuolutione maioris, &
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tanget in
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<
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:
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ſicque
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&
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<
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z</
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cum ſint æquales & parallelæ, duæ rurſus
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<
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&
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erunt pa
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rallelæ. </
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<
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">Quæ autem ratio eſt quartarum circulorum inter ſe, eadem
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eſt totorum. </
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<
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id
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">Partes enim cum pariter multiplicibus eandem ratio
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nem habent prop. 15. lib. 5. </
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>Igitur in vtroque modo orbitæ concen
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tricorum inæqualium ſunt æquales.
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<
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id
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">Atque id nulla.]
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Cauſam admirabilis huius aduentus, quæ
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adferri potuiſſet, In primò quidem modo ex tarditate & mora
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maioris circuli in quibuſdam rectæ lineæ punctis, dum minor
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circulus ipſam peragrat: In ſecundo verò modo ex tranſultu minoris
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quaſi exiliat, nec ſimul omnia puncta rectæ attingat: ſed tranſiliat
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minor, dum maior contra omnia attingat peragrando, reijcit, mo
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ramque nullam in hoc intercedere, neque tranſultum in iſto: ſed
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vtriuſque continuas motiones eſſe dicit, quia vnica latio eſt.
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<
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">e)/ti de\ mia=s kinh/sews ou)/shs a)ei\ to\ ke/ntron
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to\ kinou/menon o(te\ me\n th\n mega/lhn o(te\ de\ th\n e)la/ttona
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e)kkuli/esqai qaumasto/n.</
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<
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g0132412
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<
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lang
="
el
">to\ ga\r au)to\ tw=| au)tw=| ta/xei fero/menon
<
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i)/shn pe/fuke diecie/nai: tw=| au)tw=| de\ ta/xei i)/shn e)sti\
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kinei=n a)mfotera/kis.</
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</
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<
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<
foreign
lang
="
el
">a)rxh\ de\ lhpte/a h(/de peri\ th=s ai)ti/as
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au)tw=n, o(/ti h( au)th\ du/namis kai\ i)/sh to\ me\n bradu/teron
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kinei= me/geqos, to\ de\ taxu/teron.</
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<
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<
foreign
lang
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">ei) dh/ ti ei)/h o(\ mh\ pe/fuken
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u(f' e(autou= kinei=sqai, e)a\n tou=to a(/ma kai\ au)to\ kinh=| to\ pefuko\s
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kinei=sqai, bradu/teron kinhqh/setai h)\ ei) au)th\ kaq'
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au(th\n e)kinei=to.</
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id
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<
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lang
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el
">kai\ e)a\n me\n pefuko\s h)=| kinei=sqai, mh\ sugkinh=tai
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de\ mhqe/n, w(sau/tws e(/cei.</
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<
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lang
="
el
">kai\ a)du/naton dh\ kinei=sqai
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ple/on h)\ to\ kinou=n: ou) ga\r th\n au(tou= kinei=tai ki/nhsin, a)lla\
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th\n tou= kinou=ntos.</
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<
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lang
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">ei)/h dh\ ku/klos o( me\n mei/zwn to\ *a, o( de\
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e)la/ttwn e)f' w(=| *b. ei) w)qoi/h d' o( e)la/ttwn to\n mei/zw, mh\
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kuliome/nou au)tou=, fanero\n o(/ti tosou=ton di/eisi th=s eu)qei/as
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o( mei/zwn, o(/son e)w/sqh u(po\ tou= e)la/ttonos. tosou=ton de/ ge
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e)w/sqh o(/son o( mikro\s e)kinh/qh. i)/shn a)/ra th=s eu)qei/as dielhlu/qasin.</
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a)na/gkh toi/nun kai\ ei) kulio/menos o( e)la/ttwn to\n
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mei/zw w)qoi/h, kulisqh=nai me\n a(/ma th=| w)/sei, tosou=ton d' o(/son
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o( e)la/ttwn e)kuli/sqh, ei) mhqe\n au)to\s th=| au)th=| kinh/sei kinei=tai.</
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<
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lang
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<
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w(s ga\r kai\ o(/son e)ki/nei, tosou=ton kekinh=sqai a)na/gkh
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to\ kinou/menon u(p' e)kei/nou. a)lla\ mh\n o(/ te ku/klos tosou=ton
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e)ki/nhse to\ au)to/, ku/klw| te kai\ podiai/an [1e)/stw ga\r tosou=ton
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o(\ e)kinh/qh]1, kai\ o( me/gas a)/ra tosou=ton e)kinh/qh.</
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<
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lang
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">o(moi/ws
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de\ ka)\n o( me/gas to\n mikro\n kinh/sh|, e)/stai kekinhme/nos o( mikro\s
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w(s kai\ o( mei/zwn.</
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</
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<
foreign
lang
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">kaq' au(to\n me\n dh\ kinhqei\s o(poterosou=n,
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e)a/n te taxu\ e)a/n te brade/ws: tw=| au)tw=| de\ ta/xei
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eu)qu\s o(/shn o( mei/zwn pe/fuken e)celixqh=nai grammh/n.</
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<
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">Præterea vnica latione
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<
expan
abbr
="
exiſtẽte
">exiſtente</
expan
>
<
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centrũ
">centrum</
expan
>
ſemper
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expan
abbr
="
cõtinuè
">con
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tinuè</
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>
motum, aliquando
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<
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abbr
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quidẽ
">quidem</
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per
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abbr
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maiorẽ
">maiorem</
expan
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, aliquan
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do verò per minorem con
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uolui eſt admirabile. </
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<
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id
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">I dem
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enim eadem celeritate
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expan
abbr
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latũ
">latum</
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>
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æqualem
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abbr
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trãſire
">tranſire</
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natum eſt.
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</
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<
s
id
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id.002552
">Eadem
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autẽ
">autem</
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celeritate per
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<
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abbr
="
æqualẽ
">æqualem</
expan
>
vtro que modo mo
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uere licet. </
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>
<
s
id
="
id.002553
">Cæterum princi
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pium ſumatur ex vtriuſque
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cauſa, quod eadem vis, &
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æqualis vnam quidem
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abbr
="
magnitudinũ
">ma
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gnitudinum</
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tardius: alteram
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celerius moueat. </
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<
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id
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">Si quid
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enim fuerit non à ſeipſo
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moueri
<
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abbr
="
natũ
">natum</
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>
, &
<
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abbr
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ipsũ
">ipsum</
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>
aliud
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lb
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quod moueri
<
expan
abbr
="
natũ
">natum</
expan
>
ſit mo
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lb
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uerit, tardius mouebitur:
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<
expan
abbr
="
quã
">quam</
expan
>
ſi
<
expan
abbr
="
ipsũ
">ipsum</
expan
>
per ſe moueretur. </
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