Aristoteles, Quæstiones Mechanicæ, 1585

Table of Notes

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              <pb o="529" file="0529" n="26" rhead="Mechanicæ."/>
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            imè. </s>
            <s xml:id="echoid-s751" xml:space="preserve">Amplius, quoniam opus eſt, vt reſtes pon-
              <lb/>
            dus ferre poſſint, ſic certè pondere impoſito mi-
              <lb/>
            nus laborabunt, ſi tranſuerſim, quàm ſi obliquè
              <lb/>
            extendantur. </s>
            <s xml:id="echoid-s752" xml:space="preserve">Præterea hoc etiam modo minus
              <lb/>
            abſumitur reſtium. </s>
            <s xml:id="echoid-s753" xml:space="preserve">Sit enim lectulus A F G K, & </s>
            <s xml:id="echoid-s754" xml:space="preserve">
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            bifariam diuidatur ipſa F G ſecundùm B, æqua-
              <lb/>
            lia certè foramina ſunt in ipſa F B, & </s>
            <s xml:id="echoid-s755" xml:space="preserve">in ipſa F A.
              <lb/>
            </s>
            <s xml:id="echoid-s756" xml:space="preserve">latera enim ſunt æqualia. </s>
            <s xml:id="echoid-s757" xml:space="preserve">nam totum F G
              <reg norm="duplum" type="context">duplũ</reg>
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            eſt. </s>
            <s xml:id="echoid-s758" xml:space="preserve">Extendunt autem, vt deſcriptum eſt, ab ipſo
              <lb/>
            A ad ipſum B ita vbi eſt C, ita vbi D: </s>
            <s xml:id="echoid-s759" xml:space="preserve">ita vbi H,
              <lb/>
            poſtea vbi E, & </s>
            <s xml:id="echoid-s760" xml:space="preserve">eodem ſemper modo, donec ad
              <lb/>
            angulum peruenerint alium. </s>
            <s xml:id="echoid-s761" xml:space="preserve">Duo enim anguli
              <lb/>
            reſtis habent capi a. </s>
            <s xml:id="echoid-s762" xml:space="preserve">æquales autem ſunt reſtes
              <lb/>
            ſecundum curuaturas, videlicet A B; </s>
            <s xml:id="echoid-s763" xml:space="preserve">& </s>
            <s xml:id="echoid-s764" xml:space="preserve">B C ipſis
              <lb/>
            C D, & </s>
            <s xml:id="echoid-s765" xml:space="preserve">D H. </s>
            <s xml:id="echoid-s766" xml:space="preserve">& </s>
            <s xml:id="echoid-s767" xml:space="preserve">aliæ ſimili ſe habet modo, quo-
              <lb/>
            niam eadem demonſtratio. </s>
            <s xml:id="echoid-s768" xml:space="preserve">ipſa enim AB æqua-
              <lb/>
            lis eſt ipſi H E: </s>
            <s xml:id="echoid-s769" xml:space="preserve">æqualia enim ſunt latera ſpatij
              <lb/>
            B G, M A, & </s>
            <s xml:id="echoid-s770" xml:space="preserve">foramina æquè diſtant, ipſa autem
              <lb/>
            B G æquelis eſt ipſi M A: </s>
            <s xml:id="echoid-s771" xml:space="preserve">angulus enim B æqua-
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            lis eſt angulo G: </s>
            <s xml:id="echoid-s772" xml:space="preserve">in æqualibus enim hic quidem
              <lb/>
            intus, ille vero extra. </s>
            <s xml:id="echoid-s773" xml:space="preserve">& </s>
            <s xml:id="echoid-s774" xml:space="preserve">B quidem eſt ſemirectus: </s>
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            eſt enim F B æqualis ipſi F A: </s>
            <s xml:id="echoid-s776" xml:space="preserve">& </s>
            <s xml:id="echoid-s777" xml:space="preserve">angulus vbi F, re
              <lb/>
            ctus eſt. </s>
            <s xml:id="echoid-s778" xml:space="preserve">B
              <reg norm="autem" type="context">autẽ</reg>
            angulus æqualis ei vbi eſt G, quo-
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            niam quadratum altera parte longius
              <reg norm="duplum" type="context">duplũ</reg>
            eſt: </s>
            <s xml:id="echoid-s779" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s780" xml:space="preserve">ad medium eſt curuatura. </s>
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              <reg norm="quamobrem" type="context">quamobrẽ</reg>
            A D ip-
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            ſi E G eſt æqualis: </s>
            <s xml:id="echoid-s782" xml:space="preserve">huic verò ipſa H M. </s>
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              <reg norm="Similique" type="simple">Similiq́ue</reg>
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            modo demonſtrantur aliæ,
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            æquales ſunt
              <lb/>
            duæ, quæ ſec
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            dùm curuataras ſunt, duabus. </s>
            <s xml:id="echoid-s784" xml:space="preserve">Qua
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            re manifeſtum eſt,
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            tot ſunt reſtes in lectulo,
              <lb/>
            quot ſunt quatuor, ſicut A B. </s>
            <s xml:id="echoid-s785" xml:space="preserve">Quanta autem fora
              <lb/>
              <reg norm="minum" type="context">minũ</reg>
            eſt multirudo in ipſo F G latere, & </s>
            <s xml:id="echoid-s786" xml:space="preserve">in eius
              <lb/>
            dimidio F B eſt medietas. </s>
            <s xml:id="echoid-s787" xml:space="preserve">Quamobrem in dimi-
              <lb/>
            diato lectulo tantæ reſtium magnitudines
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            ,
              <lb/>
            quantum eſt A B: </s>
            <s xml:id="echoid-s788" xml:space="preserve">multitudine verò tot, quot in
              <lb/>
            B G ſunt foramina. </s>
            <s xml:id="echoid-s789" xml:space="preserve">Hoc autem nihil refert </s>
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