Monantheuil, Henri de, Aristotelis Mechanica, 1599

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              <pb xlink:href="035/01/072.jpg" pagenum="32"/>
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                <s id="id.000627">Si vero mobilis.]
                  <emph type="italics"/>
                Concluſio eſt confirmata reiterato propoſi­
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                tionis præcedentis proſyllogiſmo, ſic. </s>
                <s id="id.000628">Si duæ lationes puncti mobilis
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                ſunt in nulla ratione, nulloque in tempore, impoßibile eſt mobile hoc
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                latum eſſe ſecundum rectam: atqui puncti deſcribentis circulum duæ
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                lationes ſunt in nulla ratione, nullóque in tempore. </s>
                <s id="id.000629">Ergo impoßibile
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                eſt punctum, quod deſcribit circulum, ferri ſecundum rectam. </s>
                <s id="id.000630">Sint
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                enim lationes illæ in aliqua ratione. </s>
                <s id="id.000631">Ergo punctum feretur ſecun­
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                dum rectam: at non fertur ſecundum rectam. </s>
                <s id="id.000632">Peripheria enim non
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                eſt recta: ſed curua. </s>
                <s id="id.000633">Non igitur in aliqua ratione ſunt illius lationes.
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                </s>
                <s id="id.000634">Et ſi non in vlla ratione. </s>
                <s id="id.000635">nec igitur in tempore, quia tempora moti­
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                bus analoga ſunt. </s>
                <s id="id.000636">Hîc duo occurrunt valde difficilia. </s>
                <s id="id.000637">Prius de
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                tempore. </s>
                <s id="id.000638">Demonſtrauit enim Ariſtoteles in Phyſicis, omnem mo­
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                tum eſſe in tempore: alterum, cum ambæ lationes ſint in eodem ge­
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                nere motus, ſcilicet localis, quî fiet, vt rationem non habeant. </s>
                <s id="id.000639">Hoc
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                enim repugnat def. 3. lib. 5. elem. </s>
                <s id="id.000641">quantitas enim motus vnius mul­
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                tiplicata, alterius vicißim quantitatem ſuperare poteſt. </s>
                <s id="id.000642">Dicimus
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                ergo quod ad hoc poſterius attinet, rationem illas habere: ſed
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                  <foreign lang="el">a)/r)r(hton,</foreign>
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                  <emph type="italics"/>
                & non ſolum indicibilem, quod numeris exprimi nequeat: ſed &
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                quod rectis lineis geometricè id eſt exactè, exprimi non poßit, qualis
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                non eſt inter duas lationes è quibus recta creatur, cum hæc ſi nume­
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                ris non poßit exprimi, at rectis lineis ſaltem geometricè exprimitur.
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                </s>
                <s id="id.000643">vt cum duarum rectarum, quæ parallelogrammum conſtituunt, vna
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                eſt latus quadrati alicuius, altera eſt eius diameter. </s>
                <s id="id.000644">Tunc enim ratio
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                eſt rectis illis licet incommenſerabilibus prop. 116. lib. 10. expreſſa.
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                </s>
                <s id="id.000645">At hîc vt inter peripheriam & diametrum ſit aliqua ratio, veluti
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                inter arcum & ſubtendentem: hæc tamen neque numeris exprimi
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                poteſt, nec rectis lineis Geometrice vt videre eſt ex Archimede
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                lib.
                  <emph.end type="italics"/>
                  <foreign lang="el">peri\ metrh/s. kuk,</foreign>
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                & Ptol. lib. 1.
                  <emph.end type="italics"/>
                  <foreign lang="el">me/gal. sunt. </foreign>
                  <emph type="italics"/>
                quod autem ad
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                prius attinet in lationibus illis tempus admittitur, ſed hoc eſt eiuſmo­
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                di, vt nullum eius detur inſtans, quo vna latio fiat, quo etiam non
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                & altera itidem fiat: quod prioribus licet commune eſſe poßit: pro­
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                pter tamen laterum inæqualitatem vbi in æqualia dantur, non ita
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                ſimplex & indiuiſibile eſt. </s>
                <s id="id.000648">Cæterum duas has motiones facile ani­
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                mo concipiet, qui viderit pueros noſtrates ſub medio vere, quo genus
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                hoc inſecti in roſarijs noſtris abundat, captam vnam grandiorem
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                muſcam viridem Cathelinam ipſi vocant, pede adfuniculum alliga­
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                </s>
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          </chap>
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    </archimedes>
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