Monantheuil, Henri de, Aristotelis Mechanica, 1599

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              <p type="main">
                <s id="id.000601">
                  <pb xlink:href="035/01/070.jpg" pagenum="30"/>
                  <emph type="italics"/>
                rectam. </s>
                <s id="id.000602">Radius deſcribens circulum duabus ſuis lationibus, non
                  <lb/>
                fertur ſecundum rectam. </s>
                <s id="id.000603">Radij igitur lationes in nulla ſunt ra­
                  <lb/>
                tione. </s>
                <s id="id.000604">Propoſitio confirmatur cum ſequenti diagrammate.
                  <lb/>
                </s>
                <s id="id.000605">Eſto rectangulum
                  <emph.end type="italics"/>
                  <foreign lang="el">a b h g</foreign>
                  <emph type="italics"/>
                com­
                  <emph.end type="italics"/>
                  <lb/>
                  <figure id="id.035.01.070.1.jpg" xlink:href="035/01/070/1.jpg" number="10"/>
                  <lb/>
                  <emph type="italics"/>
                prehenſum ſub rectis
                  <emph.end type="italics"/>
                  <foreign lang="el">a b, a g,</foreign>
                  <lb/>
                  <emph type="italics"/>
                quæ ſint inter ſe in ratione, quam
                  <lb/>
                duæ lationes ipſius
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                habent.
                  <lb/>
                </s>
                <s id="id.000606">Et intelligatur a latum verſus
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                perueniſſe ad
                  <emph.end type="italics"/>
                  <foreign lang="el">d,</foreign>
                  <emph type="italics"/>
                & verſus
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">g</foreign>
                  <emph type="italics"/>
                perueniſſe ad
                  <emph.end type="italics"/>
                  <foreign lang="el">e</foreign>
                :
                  <emph type="italics"/>
                ſicque cum
                  <lb/>
                lationum ipſius
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                ratio ſit vt
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">a g,</foreign>
                  <emph type="italics"/>
                ergo erit &
                  <emph.end type="italics"/>
                  <foreign lang="el">a d</foreign>
                  <lb/>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">a e</foreign>
                :
                  <emph type="italics"/>
                vt
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">a y,</foreign>
                  <emph type="italics"/>
                & rectrangulum minus
                  <emph.end type="italics"/>
                  <foreign lang="el">a d z e</foreign>
                  <emph type="italics"/>
                com­
                  <lb/>
                munem angulum
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                cum maiori
                  <emph.end type="italics"/>
                  <foreign lang="el">a b h g</foreign>
                  <emph type="italics"/>
                habens & ſimile erit
                  <lb/>
                def. 1. lib. 6. & proinde circa eandem dimentientem conuerſ. prop.
                  <lb/>
                24. lib. 6. </s>
                <s>
                  <emph type="italics"/>
                Et ſic
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                duabus ſuis ſic lationibus latum erit in
                  <emph.end type="italics"/>
                  <foreign lang="el">z,</foreign>
                  <emph type="italics"/>
                vt vbi­
                  <lb/>
                cumque lationes ipſius
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                ſiſtentur, ſemper ſint ſupra diametrum
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">a h. </foreign>
                  <emph type="italics"/>
                ſiquidem lationes iſtæ ſunt in ratione
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">a g. </foreign>
                  <emph type="italics"/>
                proinde
                  <lb/>
                ſupra rectam, quia omnis diameter rectanguli recta eſt. </s>
                <s id="id.000609">Huic con­
                  <lb/>
                ſentit quod à Proclo ex Gemino acceptum ſic expoſitum eſt. </s>
                <s id="id.000610">Si qua­
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                drangulum duoſque motus qui æquali celeritate fiant, alterum qui­
                  <lb/>
                dem per longitudinem: alterum vero per latitudinem intellexeris
                  <lb/>
                dimetiens producetur recta exiſtens linea, lib. 2. comm. in def. rectæ
                  <lb/>
                lineæ. </s>
                <s id="id.000612">Nunc igitur ponatur
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                extremum radij duabus lationibus
                  <lb/>
                deſcribere circulum non digrediens à recta producere rectam, quod
                  <lb/>
                eſt contra naturam circuli. </s>
                <s id="id.000613">Non igitur duæ lationes ipſius
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                ferun­
                  <lb/>
                tur in ratione
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">a g. </foreign>
                  <emph type="italics"/>
                Sed hîc obiici poteſt quod Sol motu pri­
                  <lb/>
                mi mobilis mouetur ab Oriente in Occidentem in 24. horis, & motu
                  <lb/>
                proprio ab Occidente in Orientem in aliquo tempore quantum eſt
                  <lb/>
                quod reſpondet æquatori coaſcendenti cum 59'. 8". Eclypticæ. </s>
                <s id="id.000614">Et ſic
                  <lb/>
                eius duæ lationes ſunt in ratione aliqua, nec tamen Sol fertur ſecun­
                  <lb/>
                dum rectam ſed
                  <expan abbr="ſecundũ">ſecundum</expan>
                arcum Eclypticæ. </s>
                <s id="id.000615">Ita eſt, ob id
                  <expan abbr="dicendũ">dicendum</expan>
                hic
                  <lb/>
                dictas ab Ariſtotele duæ lationes non ſimpliciter
                  <expan abbr="intelligẽdas">intelligendas</expan>
                : ſed ta­
                  <lb/>
                les, quæ
                  <expan abbr="ferãtur">ferantur</expan>
                ambæ
                  <expan abbr="ſecundũ">ſecundum</expan>
                rectam. </s>
                <s id="id.000616">Et ſit manebit demonſtratio.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000617">Simile eſt enim.]
                  <foreign lang="el">tw= lo/gw,</foreign>
                  <emph type="italics"/>
                id eſt ratione, redundat quia quæ
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                ſimilia ſunt quadrangula, habent latera, quæ circum æquales angu­
                  <lb/>
                los propertionalia, ex def. 1. lib. 6. elem.
                  <emph.end type="italics"/>
                </s>
              </p>
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