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

List of thumbnails

< >
431
431 (392) 		432
432 (393)
433
433 (394) 		434
434 (395)
435
435 (396) 		436
436 (397)
437
437 (398) 		438
438 (399)
439
439 (400) 		440
440 (401)
< >
page |< < (398) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1136" type="section" level="1" n="365">
          <p style="it">
            <s xml:id="echoid-s13308" xml:space="preserve">
              <pb o="398" file="0436" n="437" rhead="Archimedis"/>
            ſuper oſtendit perpendicularem E O æqualem eſſe circuli diametro E F. </s>
            <s xml:id="echoid-s13309" xml:space="preserve">Itaque
              <lb/>
            in quadrato ſpatio E O P F, circuli diameter E F, ſiue O P media proportio-
              <lb/>
            nalis erit inter A O, & </s>
            <s xml:id="echoid-s13310" xml:space="preserve">P C. </s>
            <s xml:id="echoid-s13311" xml:space="preserve">Zuam ergo proportionem habent tres continuè
              <lb/>
            proportionales in eadem ratione A D ad D C ſimul ſumptæ ad illarum inter-
              <lb/>
              <figure xlink:label="fig-0436-01" xlink:href="fig-0436-01a" number="504">
                <image file="0436-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0436-01"/>
              </figure>
            mediam, eandem habebit diameter maioris ſemicirculi A C ad O P, ſiue E F.
              <lb/>
            </s>
            <s xml:id="echoid-s13312" xml:space="preserve">Zuæ deinde Pappus demonſtrat perpendiculares à centris circulorum in collate-
              <lb/>
            ralibus ſpatijs prædicti Arbeli exiſtentium eſſe multiplices diametrorum eorum
              <lb/>
            circulorum à quibus educuntur ſecundum ſeriem natur alem numerorum ab vni-
              <lb/>
            tate creſcentium, proprietas quidem eſt admirabilis, de qua in hac propoſitio-
              <lb/>
            ne Archimedis altum ſilentium, quod forte temporum iniuriæ tribuendum
              <lb/>
            eſt.</s>
            <s xml:id="echoid-s13313" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s13314" xml:space="preserve">Poſſent in hiſce duabus propoſitionibus non pauca problemata ſuperaddi, quo-
              <lb/>
            modo nimirum in prædicto ſpatio à tribus ſemicirculis comprehenſo circuli in-
              <lb/>
            numerabiles deſcribi debeant, & </s>
            <s xml:id="echoid-s13315" xml:space="preserve">alia quamplurima facilia, quæ lectorum ſa-
              <lb/>
            gacitati relinquuntur.</s>
            <s xml:id="echoid-s13316" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1138" type="section" level="1" n="366">
          <head xml:id="echoid-head458" xml:space="preserve">PROPOSITIO VII.</head>
          <p>
            <s xml:id="echoid-s13317" xml:space="preserve">SI circulus circa quadratum deſcriptus fuerit, & </s>
            <s xml:id="echoid-s13318" xml:space="preserve">alius intra
              <lb/>
            illum, vtique erit circumſcriptus duplus inſcripti.</s>
            <s xml:id="echoid-s13319" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13320" xml:space="preserve">Sit itaque circulus compre-
              <lb/>
              <figure xlink:label="fig-0436-02" xlink:href="fig-0436-02a" number="505">
                <image file="0436-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0436-02"/>
              </figure>
            hendens quadratum A B, cir-
              <lb/>
            culus A B, & </s>
            <s xml:id="echoid-s13321" xml:space="preserve">inſcriptus C D,
              <lb/>
            & </s>
            <s xml:id="echoid-s13322" xml:space="preserve">ſit diameter quadrati A B, & </s>
            <s xml:id="echoid-s13323" xml:space="preserve">
              <lb/>
            eſt diameter circuli circumſcri-
              <lb/>
            pti, & </s>
            <s xml:id="echoid-s13324" xml:space="preserve">educamus C D diame-
              <lb/>
            trum circuli inſcripti parallelam
              <lb/>
            ipſi A E, quæ eſt ei æqualis.
              <lb/>
            </s>
            <s xml:id="echoid-s13325" xml:space="preserve">Et quia quadratum A B duplum
              <lb/>
            eſt quadrati A E, ſiue D C, & </s>
            <s xml:id="echoid-s13326" xml:space="preserve">
              <lb/>
            proportio quadratorum ex </s>
          </p>
        </div>
      </text>
    </echo>
Impressum