Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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tres anguli vnius triangulorum ſunt æquales tribus alterius prop.
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32. lib. 1. </
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>& anguli qui ad A æquales ex hypotheſi, anguli ad ba
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ſim duo duobus ſunt æquales ax. 3. </
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>& quia A D C & A C D
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ſunt ad baſim Iſoſcelis, ij inter ſe erunt æquales prop. 5. lib. 1. & per
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eandem anguli A B E & A E B. </
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<
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cum ſit horum
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abbr
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duorũ
">duorum</
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, angulo A C D etiam dimidio
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abbr
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æqualiũ
">æqualium</
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æqua
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lis erit ax. 6. & per idem reliquus reliquo. </
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<
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id
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id.001253
">Sunt igitur A B E &
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A D C triangula æquiangula, proinde circum æquales angulos la
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tera habebunt proportionalia. </
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id
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">prop. 4. lib. 6. ideo vt A D ad D C:
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ſic A B ad B E: & vicißim vt A D ad A B: ſic D C ba
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ſis ad baſim B E prop. 16. lib. 5. </
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>Eſt autem maius A D ipſo A B
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ex hypotheſi. </
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">Ergo Baſis D C maior erit ipſa B E. </
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<
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id
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">Igitur ſi duo
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Iſoſcelia æqualia angulis, inæqualia cruribus fuerint &c. </
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fuit demonstrandum.
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Patet igitur ex his quod cum B C ſit vt longitudo nauis, ſi pup
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pis B peruenerit ad E manente A cardine. </
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id
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id.001260
">Tunc C erit in D.
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<
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id
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">Sicque fiunt duo triangula Iſoſcelia A B E & A D C æqualia
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angulis ad verticem A oppoſitis prop. 15. lib. 1. </
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>Et inæqualia cruri
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bus. </
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id
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">Nam rectæ ab A puncto Cardini reſpondente in ima parte na
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uis propè puppis extremum ad extremum proræ id eſt A D, A C
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longè maiores ſunt breuißimis ijs, quæ ſunt ab
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abbr
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eodẽ
">eodem</
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puncto A ad ex
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tremum puppis A B, A E. </
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id
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">Peragrabit igitur prora D lineam C B
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longè maiorem, cum B peragrabit B E multo minorem.
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<
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lang
="
el
">dh=lon de\ e)k tou/tou, kai\ di' h(\n
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ai)ti/an ma=llon proe/rxetai ei)s tou)nanti/on to\ ploi=on h)\ h( th=s
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kw/phs pla/th: to\ au)to\ ga\r me/geqos th=| au)th=| i)sxu/i+ kinou/menon
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e)n a)e/ri, ple/on h)\: e)n tw=| u(/dati pro/eisin.</
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>
</
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<
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g0130510
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<
foreign
lang
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el
">e)/stw ga\r h( *a
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*b kw/ph, to\ de\ *g o( skalmo/s, to\ de\ *a to\ e)n tw=| ploi/w|, h(
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a)rxh\ th=s kw/phs, to\ de\ *b to\ e)n th=| qala/tth|.</
foreign
>
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<
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lang
="
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">ei) dh\ to\ *a
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ou(= to\ *d metakeki/nhtai, to\ *b ou)k e)/stai ou(= to\ *e: i)/sh ga\r h( *b
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*e th=| *a*d.</
foreign
>
</
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<
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<
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lang
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el
">i)/son ou)=n metakexwrhko\s e)/stai, a)ll' h)=n e)/latton.
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</
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>
</
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id
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<
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lang
="
el
">e)/stai dh\ ou(= to\ *z [1h)\ to\ *q. a)/ra toi/nun th\n *a*b, kai\ ou)x h( to\
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*g, kai\ ka/twqen.]1 </
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>
</
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<
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id
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<
foreign
lang
="
el
">e)la/ttwn ga\r h( *b*z, th=s *a*d, w(/ste kai\
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h( *q*z th=s *d*q: o(/moia ga\r ta\ tri/gwna.</
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>
</
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<
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lang
="
el
">kaqesthko\s de\
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e)/stai kai\ to\ me/son, to\ e)f' ou(= *g: ei)s tou)nanti/on ga\r tw=| e)n th=|
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qala/tth| a)/krw| to\ *b metaxwrei=, h(=|per to\ e)n ploi/w|
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a)/kron to\ *a.</
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<
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lang
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el
">mh\ e)gxw/rei de\ ou(= to\ *d. </
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>
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<
foreign
lang
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el
">ei) mh\ metakinhqh/setai to\
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ploi=on, kai\ e)kei= ou(= h( a)rxh\ th=s kw/phs metafe/retai.</
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<
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manifeſtũ
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eſt, ob quam cauſam nauis
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in contrarium magis pro
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cedat: quam remi palmula.
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vi mota per aerem plus,
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quam per aquam progre
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ditur. </
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<
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& ſcalmus
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el
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& intra nauim
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caput remi
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lang
="
el
">a</
foreign
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palmula intra
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mare
<
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lang
="
el
">b. </
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>
Si itaque
<
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<
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abbr
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tranſlatũ
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tum</
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ſit eò, vbi eſt
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: ipſum
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