Monantheuil, Henri de, Aristotelis Mechanica, 1599

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        <body>
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            <subchap1>
              <p type="main">
                <s id="id.002451">
                  <pb xlink:href="035/01/200.jpg" pagenum="160"/>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">g</foreign>
                  <emph type="italics"/>
                obtuſi. </s>
                <s id="id.002453">Concipiamus ergo
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                tan­
                  <emph.end type="italics"/>
                  <lb/>
                  <figure id="id.035.01.200.1.jpg" xlink:href="035/01/200/1.jpg" number="74"/>
                  <lb/>
                  <emph type="italics"/>
                quam formicam ambulantem proprio
                  <lb/>
                motu verſus
                  <emph.end type="italics"/>
                  <foreign lang="el">b,</foreign>
                  <emph type="italics"/>
                vt &
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                proprio iti­
                  <lb/>
                dem motu verſus
                  <emph.end type="italics"/>
                  <foreign lang="el">a. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Tum ipſum
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <lb/>
                  <emph type="italics"/>
                latus verſus
                  <emph.end type="italics"/>
                  <foreign lang="el">g d,</foreign>
                  <emph type="italics"/>
                eadem etiam celerita­
                  <lb/>
                te moueri ſeruando paralleliſmum, cum
                  <lb/>
                ipſo
                  <emph.end type="italics"/>
                  <foreign lang="el">g d</foreign>
                  <emph type="italics"/>
                quouſque coniungatur ei. </s>
                <s id="id.002454">Ad
                  <lb/>
                huius autem
                  <expan abbr="motũ">motum</expan>
                moueri etiam
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                ver­
                  <lb/>
                ſus
                  <emph.end type="italics"/>
                  <foreign lang="el">g,</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                verſus
                  <emph.end type="italics"/>
                  <foreign lang="el">d. </foreign>
                  <emph type="italics"/>
                Sicque
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <lb/>
                  <emph type="italics"/>
                mouebuntur duobus motibus, vno per ſe:
                  <lb/>
                altero per accidens. </s>
                <s id="id.002455">Et poſito quod mo­
                  <lb/>
                ueantur in Rhombo. </s>
                <s id="id.002456">Id eſt quod motus
                  <lb/>
                illi ſint in ratione laterum quibus Rhombus continetur. </s>
                <s id="id.002457">Eſt autem
                  <lb/>
                iſta certa, quia eſt ratio æqualitatis vt
                  <emph.end type="italics"/>
                  <foreign lang="el">i</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">i,</foreign>
                  <emph type="italics"/>
                & in eadem celerita­
                  <lb/>
                te, id eſt eodem tempore, non immeritò primum problema in medium
                  <lb/>
                adducitur. </s>
                <s id="id.002458">quia ſi verum ſit, cauſam habet minimè vulgarem.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002459">Feratur enim.]
                  <emph type="italics"/>
                Prioris problematis
                  <expan abbr="veritatẽ">veritatem</expan>
                geometricè oſten­
                  <lb/>
                dit. </s>
                <s id="id.002460">Sit enim vt
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                proceſſerit per ſe vſque ad
                  <emph.end type="italics"/>
                  <foreign lang="el">e,</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                vſque ad
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">z</foreign>
                :
                  <emph type="italics"/>
                tunc quia motus illi ſunt in ratione laterum Rhombi id eſt in ra­
                  <lb/>
                tione æqualitatis
                  <emph.end type="italics"/>
                  <foreign lang="el">a e</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">a z</foreign>
                  <emph type="italics"/>
                erunt æquales. </s>
                <s id="id.002461">Perficiatur
                  <expan abbr="parallelo­grammũ">parallelo­
                    <lb/>
                  grammum</expan>
                prop. 31. lib. 1.
                  <expan abbr="nẽpè">nempè</expan>
                  <emph.end type="italics"/>
                  <foreign lang="el">a e q z. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Hoc erit ſimile toti
                  <emph.end type="italics"/>
                  <foreign lang="el">a b d g. </foreign>
                  <lb/>
                  <emph type="italics"/>
                prop. 24. lib. 6. </s>
                <s>Ergo per conu
                  <expan abbr="eiuſdẽ">eiuſdem</expan>
                prop. ſunt circa
                  <expan abbr="eandẽ">eandem</expan>
                  <expan abbr="diametrũ">diametrum</expan>
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">a q d,</foreign>
                  <emph type="italics"/>
                & ſic
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                duobus motibus motum prædictis delineauit
                  <emph.end type="italics"/>
                  <foreign lang="el">a q</foreign>
                  <lb/>
                  <emph type="italics"/>
                cum
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                peruenit ad
                  <emph.end type="italics"/>
                  <foreign lang="el">z h. </foreign>
                </s>
                <s>
                  <emph type="italics"/>
                proinde &
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                etiam delineauerit
                  <emph.end type="italics"/>
                  <foreign lang="el">a d</foreign>
                  <lb/>
                  <emph type="italics"/>
                cum peruenerit
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">g d. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Simili ratiocinatione conficitur
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                eo­
                  <lb/>
                dem tempore peragraſſe diametrum
                  <emph.end type="italics"/>
                  <foreign lang="el">b g. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Eſt autem
                  <emph.end type="italics"/>
                  <foreign lang="el">b g</foreign>
                  <emph type="italics"/>
                minor:
                  <lb/>
                quam
                  <emph.end type="italics"/>
                  <foreign lang="el">a d</foreign>
                  <emph type="italics"/>
                quia baſes ſunt duorum triangulorum
                  <emph.end type="italics"/>
                  <foreign lang="el">g a b,</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">a b d</foreign>
                  <lb/>
                  <emph type="italics"/>
                bina latera
                  <emph.end type="italics"/>
                  <foreign lang="el">a g, a b</foreign>
                  <emph type="italics"/>
                binis
                  <emph.end type="italics"/>
                  <foreign lang="el">a b, b d</foreign>
                  <emph type="italics"/>
                æqualia habentium. </s>
                <s id="id.002463">quia ſunt
                  <lb/>
                latera eiuſdem Rhombi, & angulum
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                vtpote acutum minorem
                  <lb/>
                angulo
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                vtpote obtuſo. </s>
                <s id="id.002464">Ergo prop. 24. lib. 1. baſis
                  <emph.end type="italics"/>
                  <foreign lang="el">a d</foreign>
                  <emph type="italics"/>
                maior eſt
                  <lb/>
                baſi
                  <emph.end type="italics"/>
                  <foreign lang="el">b g. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Et ſic
                  <emph.end type="italics"/>
                  <foreign lang="el">a</foreign>
                  <emph type="italics"/>
                ab angulo acuto diſcedens ſuis motibus maiorem
                  <lb/>
                in Rhombo lineam tranſit, quam
                  <emph.end type="italics"/>
                  <foreign lang="el">b. </foreign>
                </s>
              </p>
              <p type="main">
                <s id="id.002465">Licet & hoc.]
                  <emph type="italics"/>
                Hoc additur ad augendam ſecundi problematis
                  <lb/>
                difficultatem. </s>
                <s id="id.002466">Rationi enim conſentaneum videtur, vt motum duo­
                  <lb/>
                bus motibus ſimul plus ſpatij conficiat: quam quod vno tantum.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002467">Neceſſe igitur.]
                  <emph type="italics"/>
                Nam parallelogramma quæ toti & inter ſe
                  <emph.end type="italics"/>
                </s>
              </p>
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