Monantheuil, Henri de, Aristotelis Mechanica, 1599
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                  <emph type="italics"/>
                tres anguli vnius triangulorum ſunt æquales tribus alterius prop.
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                32. lib. 1. </s>
                <s>& anguli qui ad A æquales ex hypotheſi, anguli ad ba­
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                ſim duo duobus ſunt æquales ax. 3. </s>
                <s>& 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. </s>
                <s id="id.001251">Sicque A E B dimidius
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                cum ſit horum
                  <expan abbr="duorũ">duorum</expan>
                , angulo A C D etiam dimidio
                  <expan abbr="æqualiũ">æqualium</expan>
                æqua­
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                lis erit ax. 6. & per idem reliquus reliquo. </s>
                <s id="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. </s>
                <s id="id.001254">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. </s>
                <s>Eſt autem maius A D ipſo A B
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                ex hypotheſi. </s>
                <s id="id.001256">Ergo Baſis D C maior erit ipſa B E. </s>
                <s id="id.001257">Igitur ſi duo
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                Iſoſcelia æqualia angulis, inæqualia cruribus fuerint &c. </s>
                <s id="id.001258">quod
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                fuit demonstrandum.
                  <emph.end type="italics"/>
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                <s id="id.001259">
                  <emph type="italics"/>
                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. </s>
                <s id="id.001260">Tunc C erit in D.
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                </s>
                <s id="id.001261">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. </s>
                <s>Et inæqualia cruri­
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                bus. </s>
                <s id="id.001262">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
                  <expan abbr="eodẽ">eodem</expan>
                puncto A ad ex­
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                tremum puppis A B, A E. </s>
                <s id="id.001263">Peragrabit igitur prora D lineam C B
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                longè maiorem, cum B peragrabit B E multo minorem.
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              <p type="main">
                <s id="id.001264">
                  <foreign 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
                    <lb/>
                  e)n a)e/ri, ple/on h)\: e)n tw=| u(/dati pro/eisin.</foreign>
                </s>
                <s id="g0130510">
                  <foreign lang="el">e)/stw ga\r h( *a
                    <lb/>
                  *b kw/ph, to\ de\ *g o( skalmo/s, to\ de\ *a to\ e)n tw=| ploi/w|, h(
                    <lb/>
                  a)rxh\ th=s kw/phs, to\ de\ *b to\ e)n th=| qala/tth|.</foreign>
                </s>
                <s id="g0130511">
                  <foreign lang="el">ei) dh\ to\ *a
                    <lb/>
                  ou(= to\ *d metakeki/nhtai, to\ *b ou)k e)/stai ou(= to\ *e: i)/sh ga\r h( *b
                    <lb/>
                  *e th=| *a*d.</foreign>
                </s>
                <s id="g0130511a">
                  <foreign lang="el">i)/son ou)=n metakexwrhko\s e)/stai, a)ll' h)=n e)/latton.
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                  </foreign>
                </s>
                <s id="g0130512">
                  <foreign 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 </foreign>
                </s>
                <s id="g0130512a">
                  <foreign lang="el">e)la/ttwn ga\r h( *b*z, th=s *a*d, w(/ste kai\
                    <lb/>
                  h( *q*z th=s *d*q: o(/moia ga\r ta\ tri/gwna.</foreign>
                </s>
                <s id="g0130513">
                  <foreign 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.</foreign>
                </s>
                <s id="g0130514">
                  <foreign lang="el">mh\ e)gxw/rei de\ ou(= to\ *d. </foreign>
                </s>
                <s id="g0130514a">
                  <foreign lang="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.</foreign>
                </s>
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              <p type="main">
                <s id="id.001265">Ex hoc autem
                  <expan abbr="manifeſtũ">manifeſtum</expan>
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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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                </s>
                <s id="id.001266">Eadem enim moles eadem
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                vi mota per aerem plus,
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                quam per aquam progre­
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                ditur. </s>
                <s id="id.001267">Sit enim remus
                  <foreign lang="el">a b</foreign>
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                & ſcalmus
                  <foreign lang="el">g,</foreign>
                & intra nauim
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                caput remi
                  <foreign lang="el">a</foreign>
                palmula intra
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                mare
                  <foreign lang="el">b. </foreign>
                Si itaque
                  <foreign lang="el">a</foreign>
                  <expan abbr="tranſla­tũ">tranſla­
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                  tum</expan>
                ſit eò, vbi eſt
                  <foreign lang="el">d</foreign>
                : ipſum
                  <foreign lang="el">b</foreign>
                </s>
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