Monantheuil, Henri de, Aristotelis Mechanica, 1599

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              <p type="main">
                <s id="id.000572">
                  <pb xlink:href="035/01/068.jpg" pagenum="28"/>
                  <emph type="italics"/>
                radios longiores, qui celerius feruntur minoribus, id eſt qui æquali
                  <lb/>
                tempore maius ſpatium, & proinde ſenſibilius tranſeunt.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000573">Celerius enim.]
                  <emph type="italics"/>
                Celeritatis lationum duos modos adfert ſi­
                  <lb/>
                miles ijs quos cap. 2. lib. 6. de Phyſ. auditu attulit, vt vtro longioris
                  <lb/>
                radij celeritas accipi debeat, intelligatur.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000574">Qui enim extra.]
                  <emph type="italics"/>
                E duobus circulis concentricis, qui extra eſt,
                  <lb/>
                eſt quoddam
                  <expan abbr="totũ">totum</expan>
                , & internus eſt externi vna pars. </s>
                <s id="id.000575">Cum
                  <expan abbr="itaq;">itaque</expan>
                totum
                  <lb/>
                maius ſit ſua parte ex 9. axiom. lib. 1. ele. externus circulus interno
                  <lb/>
                concentrico erit maior. </s>
                <s id="id.000578">Præterea
                  <expan abbr="cũ">cum</expan>
                circuli æquales ſint,
                  <expan abbr="quorũ">quorum</expan>
                ſemi­
                  <lb/>
                diametri ſint æquales def. 1. lib. 3. ele. </s>
                <s id="id.000580">Illi quorum ſemidiametri ſunt
                  <lb/>
                inæquales, erunt & inæquales, & ille maior, cuius ſemidiameter
                  <lb/>
                maior. </s>
                <s id="id.000581">Quæ licet vera ſint non tamen ſtatim ſequitur figuræ planæ
                  <lb/>
                cuius area maior eſt, eſſe & perimetrum maiorem vt ex 36. 37.
                  <lb/>
                prop. lib. 1. elem. demonſtrari facile poteſt: neque ſi rurſus perimeter
                  <lb/>
                contineat perimetrum, vt continens contento ſit maior, vt patere
                  <lb/>
                poteſt ex eo, quod eſt à Proclo adductum ad prop. 21. lib. 1. elem. </s>
                <s id="id.000583">De
                  <lb/>
                duabus rectis intra triangulum, rectangulum vel amblygonium
                  <lb/>
                comprehenſis, quæ maiores conſtitui poſſunt ijs à quibus ambiuntur.
                  <lb/>
                </s>
                <s id="id.000584">Ob hæc igitur, cum hic locus non tam debeat intelligi de circulis,
                  <lb/>
                quam circulorum peripherijs, meritò ante, cum huius proprietatis
                  <lb/>
                mentio fieret, capite præcedenti peripheriam maioris circuli periphe­
                  <lb/>
                ria minoris maiorem eſſe demonſtrauimus, ſed etiam huius magni­
                  <lb/>
                tudinis maioris cauſa, hic ab Ariſtotele ſubiungitur.
                  <emph.end type="italics"/>
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              </p>
            </subchap1>
            <subchap1>
              <p type="main">
                <s id="id.000585">
                  <foreign lang="el"> ai)/tion de\ tou/twn, o(/ti fe/retai
                    <lb/>
                  du/o fora\s h( gra/fousa to\n ku/klon.</foreign>
                </s>
                <s id="g0120707">
                  <foreign lang="el">o(/tan me\n ou)=n e)n lo/gw|
                    <lb/>
                  tini\ fe/rhtai, e)p' eu)qei/as a)na/gkh fe/resqai to\ fero/menon,
                    <lb/>
                  kai\ gi/netai dia/metros au)th\ tou= sxh/matos o(\ poiou=sin ai(
                    <lb/>
                  e)n tou/tw| tw=| lo/gw| sunteqei=sai grammai/.</foreign>
                </s>
                <s id="g0120708">
                  <foreign lang="el">e)/stw ga\r o( lo/gos
                    <lb/>
                  o(\n fe/retai to\ fero/menon, o(\n e)/xei h( *a*b, pro\s th\n *a*g,
                    <lb/>
                  kai\ to\ me\n *a*g fere/sqw pro\s to\ *b, h( de\ *a*b u(pofere/sqw
                    <lb/>
                  pro\s th\n *h*g: e)nhne/xqw de\ to\ me\n *a pro\s to\ *d, h( de\ e)f'
                    <lb/>
                  h(=| *a*b pro\s to\ *e. </foreign>
                </s>
                <s id="g0120708a">
                  <foreign lang="el">ou)kou=n e)pi\ th=s fora=s o( lo/gos h)=n, o(\n h(
                    <lb/>
                  *a*b e)/xei pro\s th\n *a*g, a)na/gkh kai\ th\n *a*d, pro\s th\n
                    <lb/>
                  *a*e, tou=ton e)/xein to\n lo/gon, o(/moion a)/ra e)sti\ tw=| lo/gw| to\
                    <lb/>
                  mikro\n tetra/pleuron tw=| mei/zoni, w(/ste kai\ h( au)th\ dia/metros
                    <lb/>
                  au)tw=n, kai\ to\ *a e)/stai pro\s to\ *z.</foreign>
                </s>
                <s id="g0120801">
                  <foreign lang="el">to\n au)to\n dh\ tro/pon
                    <lb/>
                  deixqh/setai ka)\n o(pouou=n dialhfqh=| h( fora/: ai)ei\ ga\r
                    <lb/>
                  e)/stai e)pi\ th=s diame/trou.</foreign>
                </s>
                <s id="g0120802">
                  <foreign lang="el">fanero\n ou)=n o(/ti to\ kata\ th\n dia/metron
                    <lb/>
                  fero/menon e)n du/o forai=s, a)na/gkh to\n tw=n pleurw=n
                    <lb/>
                  fe/resqai lo/gon.</foreign>
                </s>
              </p>
              <p type="main">
                <s id="id.000586">Horum vero cauſa eſt,
                  <lb/>
                quod recta deſcribens
                  <expan abbr="cir­culũ">cir­
                    <lb/>
                  culum</expan>
                  <expan abbr="ſecundũ">ſecundum</expan>
                duas latio­
                  <lb/>
                nes fertur. </s>
                <s id="id.000587">
                  <expan abbr="Cũ">Cum</expan>
                igitur in ali­
                  <lb/>
                qua ratione duę
                  <expan abbr="sũt">sunt</expan>
                illæ la­
                  <lb/>
                tiones, neceſſe eſt id, quod
                  <lb/>
                fertur
                  <expan abbr="ſecundũ">ſecundum</expan>
                  <expan abbr="rectã">rectam</expan>
                ferri,
                  <lb/>
                quæ fit diameter figuræ,
                  <lb/>
                  <expan abbr="quã">quam</expan>
                rectæ in ea ratione
                  <expan abbr="cõ­ſtitutæ">con­
                    <lb/>
                  ſtitutæ</expan>
                ,
                  <expan abbr="cõprehendunt">comprehendunt</expan>
                . </s>
                <s id="id.000588">Sit
                  <lb/>
                enim ratio
                  <expan abbr="ſecundũ">ſecundum</expan>
                quam
                  <lb/>
                mobile fertur ea: quam ha­</s>
              </p>
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          </chap>
        </body>
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    </archimedes>
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