Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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radios longiores, qui celerius feruntur minoribus, id eſt qui æquali
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tempore maius ſpatium, & proinde ſenſibilius tranſeunt.
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">Celerius enim.]
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Celeritatis lationum duos modos adfert ſi
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miles ijs quos cap. 2. lib. 6. de Phyſ. auditu attulit, vt vtro longioris
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radij celeritas accipi debeat, intelligatur.
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s
id
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">Qui enim extra.]
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E duobus circulis concentricis, qui extra eſt,
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eſt quoddam
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expan
abbr
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totũ
">totum</
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, & internus eſt externi vna pars. </
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<
s
id
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id.000575
">Cum
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abbr
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itaq;
">itaque</
expan
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totum
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lb
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maius ſit ſua parte ex 9. axiom. lib. 1. ele. externus circulus interno
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concentrico erit maior. </
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<
s
id
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id.000578
">Præterea
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expan
abbr
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cũ
">cum</
expan
>
circuli æquales ſint,
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abbr
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quorũ
">quorum</
expan
>
ſemi
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lb
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diametri ſint æquales def. 1. lib. 3. ele. </
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<
s
id
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id.000580
">Illi quorum ſemidiametri ſunt
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inæquales, erunt & inæquales, & ille maior, cuius ſemidiameter
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maior. </
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<
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id
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id.000581
">Quæ licet vera ſint non tamen ſtatim ſequitur figuræ planæ
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cuius area maior eſt, eſſe & perimetrum maiorem vt ex 36. 37.
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prop. lib. 1. elem. demonſtrari facile poteſt: neque ſi rurſus perimeter
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contineat perimetrum, vt continens contento ſit maior, vt patere
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poteſt ex eo, quod eſt à Proclo adductum ad prop. 21. lib. 1. elem. </
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<
s
id
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id.000583
">De
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lb
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duabus rectis intra triangulum, rectangulum vel amblygonium
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comprehenſis, quæ maiores conſtitui poſſunt ijs à quibus ambiuntur.
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</
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<
s
id
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id.000584
">Ob hæc igitur, cum hic locus non tam debeat intelligi de circulis,
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quam circulorum peripherijs, meritò ante, cum huius proprietatis
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mentio fieret, capite præcedenti peripheriam maioris circuli periphe
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ria minoris maiorem eſſe demonſtrauimus, ſed etiam huius magni
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tudinis maioris cauſa, hic ab Ariſtotele ſubiungitur.
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<
foreign
lang
="
el
"> ai)/tion de\ tou/twn, o(/ti fe/retai
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lb
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du/o fora\s h( gra/fousa to\n ku/klon.</
foreign
>
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>
<
s
id
="
g0120707
">
<
foreign
lang
="
el
">o(/tan me\n ou)=n e)n lo/gw|
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lb
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tini\ fe/rhtai, e)p' eu)qei/as a)na/gkh fe/resqai to\ fero/menon,
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lb
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kai\ gi/netai dia/metros au)th\ tou= sxh/matos o(\ poiou=sin ai(
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e)n tou/tw| tw=| lo/gw| sunteqei=sai grammai/.</
foreign
>
</
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<
s
id
="
g0120708
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<
foreign
lang
="
el
">e)/stw ga\r o( lo/gos
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lb
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o(\n fe/retai to\ fero/menon, o(\n e)/xei h( *a*b, pro\s th\n *a*g,
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kai\ to\ me\n *a*g fere/sqw pro\s to\ *b, h( de\ *a*b u(pofere/sqw
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/>
pro\s th\n *h*g: e)nhne/xqw de\ to\ me\n *a pro\s to\ *d, h( de\ e)f'
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h(=| *a*b pro\s to\ *e. </
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>
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<
foreign
lang
="
el
">ou)kou=n e)pi\ th=s fora=s o( lo/gos h)=n, o(\n h(
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lb
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*a*b e)/xei pro\s th\n *a*g, a)na/gkh kai\ th\n *a*d, pro\s th\n
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lb
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*a*e, tou=ton e)/xein to\n lo/gon, o(/moion a)/ra e)sti\ tw=| lo/gw| to\
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lb
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mikro\n tetra/pleuron tw=| mei/zoni, w(/ste kai\ h( au)th\ dia/metros
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lb
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au)tw=n, kai\ to\ *a e)/stai pro\s to\ *z.</
foreign
>
</
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<
s
id
="
g0120801
">
<
foreign
lang
="
el
">to\n au)to\n dh\ tro/pon
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lb
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deixqh/setai ka)\n o(pouou=n dialhfqh=| h( fora/: ai)ei\ ga\r
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e)/stai e)pi\ th=s diame/trou.</
foreign
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g0120802
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<
foreign
lang
="
el
">fanero\n ou)=n o(/ti to\ kata\ th\n dia/metron
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fero/menon e)n du/o forai=s, a)na/gkh to\n tw=n pleurw=n
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fe/resqai lo/gon.</
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<
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id
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id.000586
">Horum vero cauſa eſt,
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lb
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quod recta deſcribens
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expan
abbr
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circulũ
">cir
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culum</
expan
>
<
expan
abbr
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ſecundũ
">ſecundum</
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duas latio
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nes fertur. </
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Cũ
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igitur in ali
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qua ratione duę
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expan
abbr
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sũt
">sunt</
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illæ la
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tiones, neceſſe eſt id, quod
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fertur
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abbr
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ſecundũ
">ſecundum</
expan
>
<
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abbr
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rectã
">rectam</
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>
ferri,
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lb
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quæ fit diameter figuræ,
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<
expan
abbr
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quã
">quam</
expan
>
rectæ in ea ratione
<
expan
abbr
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cõſtitutæ
">con
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lb
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ſtitutæ</
expan
>
,
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expan
abbr
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cõprehendunt
">comprehendunt</
expan
>
. </
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>
<
s
id
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id.000588
">Sit
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lb
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enim ratio
<
expan
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ſecundũ
">ſecundum</
expan
>
quam
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lb
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mobile fertur ea: quam ha</
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