Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

List of thumbnails

< >
121
121
122
122
123
123
124
124
125
125
126
126
127
127
128
128
129
129
130
130
< >
page |< < of 303 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N15DC1" type="main">
              <s id="N15DE3">
                <pb pagenum="199" xlink:href="005/01/207.jpg"/>
                <emph type="italics"/>
              quidem ad
                <expan abbr="ipsũ">ipsum</expan>
              B, B verò ad
                <expan abbr="ipsũ">ipsum</expan>
              D eadem celeritate. </s>
              <s id="N15DF7">Feratur
                <lb/>
                <expan abbr="autẽ">autem</expan>
              & ipſa AB in ipſi AC iuxta CD
                <expan abbr="eadẽ">eadem</expan>
              celeritate
                <expan abbr="">cum</expan>
              illis.
                <lb/>
              </s>
              <s id="N15E08">Neceſſe igitur eſt A quidem in ipſa AD diametro ferri, B verò
                <lb/>
              in ipſa BC, & vtranque ſimul pertranſiſſe, & ipſam AB
                <expan abbr="ipſũ">ipſum</expan>
                <lb/>
              latus AC: latum enim ſit ipſum A ipſam AE, AB autem ipſam
                <lb/>
              AF, & proiecta ſit FG iuxta ipſum AB, & ab ipſo E ſimiliter
                <lb/>
              repleatur. </s>
              <s id="N15E17">Similiter igitur fit quod
                <expan abbr="repletũ">repletum</expan>
              eſt, ipſi toti: æqualis
                <lb/>
              igitur AF ipſi AE. </s>
              <s id="N15E21">Ipſa autem AB ipſam AF lata erit: in dia­
                <lb/>
              metro igitur erit ſecundum K, & ſemper neceſſe eſt ipſum fer­
                <lb/>
              ri ſecundum diametrum, & ſimul AB latus pertranſit latus
                <lb/>
              AC, & ipſum A diametrum pertranſit AD. </s>
              <s id="N15E2B">Similiter etiam
                <lb/>
              demonſtrabitur & ipſum B in ipſa BC diametrum lato, æqua­
                <lb/>
              lis enim eſt ipſa BE ipſi BG. </s>
              <s id="N15E33">Repleto igitur ab ipſo G quod in­
                <lb/>
              tus eſt, toti eſt ſimile, & ipſum B in ipſa diametro erit ſecun­
                <lb/>
              dum laterum connexionem. </s>
              <s id="N15E3A">Et ſimul latus pertranſit latus, &
                <lb/>
              B ipſum BC diametrum. </s>
              <s id="N15E3F">Simul igitur Amultò plus ipſa AB
                <lb/>
              pertranſit, & ipſum latus minus latus eadem lata teleritate:
                <lb/>
              & ipſum latus maiorem quàm B pertranſiuit vna
                <expan abbr="latũ">latum</expan>
              latio­
                <lb/>
              ne. </s>
              <s id="N15E4C">Quantò enim acutior fuerit rhombus, diameter quidem
                <lb/>
              minor fit, AC autem maior; latus verò ipſius BC minus. </s>
              <s id="N15E51">Ab­
                <lb/>
              ſurdum eſt enim (vt dictum eſt) id quod duabus fertur latio­
                <lb/>
              nibus, aliquando ferri tardius illo, quo fertur vnica, & vtriſ­
                <lb/>
              que poſitis æquali velocitate punctis, alterum pertranſire ma­
                <lb/>
              iorem Cauſa autem eſt quoniam ei, quod ab obtuſo fertur an­
                <lb/>
              gulo, ambæ ferè contrariæ fiunt lationes, & illa ſecundum
                <lb/>
              quam ipſum fertur, & illa ſecundum quam ipſum à latere de­
                <lb/>
              fertur. </s>
              <s id="N15E62">Ei autem quod ab acuto fertur, accidit vt ad idem fe­
                <lb/>
              ratur. </s>
              <s id="N15E67">Coadiuuat enim quæ ipſius eſt lateris,, illam quæ eſt ſu­
                <lb/>
              per diametrum. </s>
              <s id="N15E6C">Et quantò hunc quidem acutiorem feceris,
                <lb/>
              illum verò obtuſum magis: hæc quidem tardior erit, illa verò
                <lb/>
              celerior. </s>
              <s id="N15E73">Hæ quidem igitur magis contrariæ fiunt, quoniam
                <lb/>
              obtuſior fit angulus: illæ verò ad idem magis, quoniam lineæ
                <lb/>
              coarctantur. </s>
              <s id="N15E7A">Ipſum enim A ferè ad idem fertur ſecundum
                <lb/>
              ambas lationes. </s>
              <s id="N15E7F">Coadiuuatur igitur altera & quantò ſanè
                <lb/>
              acutior fuerit angulus, tantò magis ipſum A ad contrarium,
                <lb/>
              ipſum enim ad B fertur, latus autem defert ipſum ad D. </s>
              <s id="N15E87">Et
                <lb/>
              quantò ſanè obtuſior fuerit angulus, magis contrariæ fiunt
                <lb/>
              lationes, rectior enim efficitur linea. </s>
              <s id="N15E8E">Si autem omnino recta
                <lb/>
              fieret penitus vtique eſsent contrariæ. </s>
              <s id="N15E93">Latus verò ſecundum
                <lb/>
              vnicam latam lationem à nullo præpeditur, rationabiliter igi­
                <lb/>
              tur maiorem pertranſit.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>