Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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        <div xml:id="echoid-div1138" type="section" level="1" n="366">
          <p>
            <s xml:id="echoid-s13326" xml:space="preserve">
              <pb o="399" file="0437" n="438" rhead="Aſſumpt. Liber."/>
            metris circulorum eſt eadem proportioni circuli ad circulum, igitur cir-
              <lb/>
            culus A B duplus eſt circuli C D, & </s>
            <s xml:id="echoid-s13327" xml:space="preserve">hoc eſt quod voluimus.</s>
            <s xml:id="echoid-s13328" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1140" type="section" level="1" n="367">
          <head xml:id="echoid-head459" xml:space="preserve">SCHOLIVM ALMOCHTASSO.</head>
          <p>
            <s xml:id="echoid-s13329" xml:space="preserve">DIcit Doctor Almochtaſſo. </s>
            <s xml:id="echoid-s13330" xml:space="preserve">Iam compoſui tractatum de con-
              <lb/>
            ficiendo circulo, cuius proportio ad datum circulum ſit
              <lb/>
            vt proportio data. </s>
            <s xml:id="echoid-s13331" xml:space="preserve">Qua ratione conficiendæ ſunt omnes ſiguræ
              <lb/>
            rectilineæ, & </s>
            <s xml:id="echoid-s13332" xml:space="preserve">quem vſum
              <lb/>
              <figure xlink:label="fig-0437-01" xlink:href="fig-0437-01a" number="506">
                <image file="0437-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0437-01"/>
              </figure>
            habeant in arte illæ figuræ,
              <lb/>
            & </s>
            <s xml:id="echoid-s13333" xml:space="preserve">afferam hic ex illis vnam
              <lb/>
            propoſitionem, quæ cõgruit
              <lb/>
            expoſitioni huius propoſitio-
              <lb/>
            nis, & </s>
            <s xml:id="echoid-s13334" xml:space="preserve">eſt tanquam epitome
              <lb/>
            illarum propoſitionum, & </s>
            <s xml:id="echoid-s13335" xml:space="preserve">
              <lb/>
            illationis ex illis, & </s>
            <s xml:id="echoid-s13336" xml:space="preserve">eſt hæc.
              <lb/>
            </s>
            <s xml:id="echoid-s13337" xml:space="preserve">Volumus conficere circulum,
              <lb/>
            qui ſit quinta pars circuli,
              <lb/>
            exempli gratia.</s>
            <s xml:id="echoid-s13338" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13339" xml:space="preserve">Circulus cuius habemus diametrum eſt A B, & </s>
            <s xml:id="echoid-s13340" xml:space="preserve">addamus eius partem
              <lb/>
            quintam, & </s>
            <s xml:id="echoid-s13341" xml:space="preserve">eſt B C, & </s>
            <s xml:id="echoid-s13342" xml:space="preserve">deſcribamus ſuper A C ſemicirculum A D C,
              <lb/>
            & </s>
            <s xml:id="echoid-s13343" xml:space="preserve">educamus perpendicularem B D, & </s>
            <s xml:id="echoid-s13344" xml:space="preserve">quia proportio A B ad B C eſt,
              <lb/>
            vt proportio quadrati A B ad quadratum B D, erit quilibet circulus
              <lb/>
            factus, vel, figura ſuper B D quæſita à nobis, & </s>
            <s xml:id="echoid-s13345" xml:space="preserve">hoc, quia proportio
              <lb/>
            circuli, qui eſt ſuper A B, vel figuræ, quæ eſt ſuper illam, ad circu-
              <lb/>
            lum, vel figuram factam ſuper B D facit illam figuram, & </s>
            <s xml:id="echoid-s13346" xml:space="preserve">ſimiliter po-
              <lb/>
            ſitam, erit vt proportio A B ad B C, & </s>
            <s xml:id="echoid-s13347" xml:space="preserve">hoc eſt quod voluimus.</s>
            <s xml:id="echoid-s13348" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1142" type="section" level="1" n="368">
          <head xml:id="echoid-head460" xml:space="preserve">PROPOSITIO VIII.</head>
          <p>
            <s xml:id="echoid-s13349" xml:space="preserve">SI egrediatur in circulo linea A B vbicumque, & </s>
            <s xml:id="echoid-s13350" xml:space="preserve">producatur
              <lb/>
            in directum, & </s>
            <s xml:id="echoid-s13351" xml:space="preserve">ponatur B C æqualis ſemidiametro circuli
              <lb/>
            & </s>
            <s xml:id="echoid-s13352" xml:space="preserve">iungatur ex C ad centrum circuli, quod eſt D, & </s>
            <s xml:id="echoid-s13353" xml:space="preserve">producatur
              <lb/>
            ad E, erit arcus A E triplus arcus B F.</s>
            <s xml:id="echoid-s13354" xml:space="preserve"/>
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