Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Page concordance

< >
Scan Original
21 1
22 2
23 3
24 4
25 5
26 6
27 7
28 8
29 9
30 10
31 11
32 12
33 13
34 14
35 15
36 16
37 17
38 18
39 19
40 20
41 21
42 22
43 23
44 24
45 25
46 26
47 27
48 28
49 29
50 30
< >
page |< < (7) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div38" type="section" level="1" n="35">
          <pb o="7" file="0027" n="27" rhead="LIBERI."/>
        </div>
        <div xml:id="echoid-div39" type="section" level="1" n="36">
          <head xml:id="echoid-head46" xml:space="preserve">C.</head>
          <note position="right" xml:space="preserve">C</note>
          <p>
            <s xml:id="echoid-s368" xml:space="preserve">QVę verò dictis tangentibus oppoſitis ęquidiſtant, & </s>
            <s xml:id="echoid-s369" xml:space="preserve">
              <lb/>
            diuidunt productę, ſi opus ſit, ſimiliter ad eandem
              <lb/>
            partem ipſas incidentes, necnon oppoſitarum
              <lb/>
            tangentium portiones, quę in ſimilibus figuris iam dictis
              <lb/>
            reperiuntur, vocentur; </s>
            <s xml:id="echoid-s370" xml:space="preserve">homologæ earumdem, ſumptę re-
              <lb/>
            gula qualibet earum; </s>
            <s xml:id="echoid-s371" xml:space="preserve">dicantur autem lineæ homologę, quę
              <lb/>
            funt intra ambitum ſimilium figurarum, quę verò in ambi-
              <lb/>
            tu, latera homologa. </s>
            <s xml:id="echoid-s372" xml:space="preserve">Ipſę verò tangentes etiam, tangentes
              <lb/>
            earumdem homologarum.</s>
            <s xml:id="echoid-s373" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div40" type="section" level="1" n="37">
          <head xml:id="echoid-head47" xml:space="preserve">D. IV.</head>
          <note position="right" xml:space="preserve">D</note>
          <p>
            <s xml:id="echoid-s374" xml:space="preserve">CVm verò duę ſimiles figuræ planæ in eodem plano, vel
              <lb/>
            in planis ęquidiſtantibus ita poſitę fuerint, vt earum,
              <lb/>
            & </s>
            <s xml:id="echoid-s375" xml:space="preserve">oppoſitarum tangentium, quę ſunt regulę homologarum
              <lb/>
            earumdem incidentes vel ſint ſuperpoſitę, vel ſibi inuicem
              <lb/>
            ęquidiſtent, homologis earumdem figurarum, & </s>
            <s xml:id="echoid-s376" xml:space="preserve">homolo-
              <lb/>
            gis partibus ipſarum incidentium, ad eandem partem con-
              <lb/>
            ſtitutis, ipſæ figurę ſimiles dicantur etiam, inter ſe ſimiliter
              <lb/>
            poſitę; </s>
            <s xml:id="echoid-s377" xml:space="preserve">ſiue à ſuis lineis, vel lateribus homologis ſimiliter
              <lb/>
            deſcriptæ.</s>
            <s xml:id="echoid-s378" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div41" type="section" level="1" n="38">
          <head xml:id="echoid-head48" xml:space="preserve">E.</head>
          <note position="right" xml:space="preserve">E</note>
          <p>
            <s xml:id="echoid-s379" xml:space="preserve">SIverò fuerint quotcumq; </s>
            <s xml:id="echoid-s380" xml:space="preserve">& </s>
            <s xml:id="echoid-s381" xml:space="preserve">qualeſcumq; </s>
            <s xml:id="echoid-s382" xml:space="preserve">figurę planę in
              <lb/>
            eodem plano vtcumq; </s>
            <s xml:id="echoid-s383" xml:space="preserve">diſpoſitę; </s>
            <s xml:id="echoid-s384" xml:space="preserve">fuerint autem alię tot
              <lb/>
            numero figurę in quouis plano, cum prędictis ita ſe haben-
              <lb/>
            tes, vt binę ſint ſimiles, & </s>
            <s xml:id="echoid-s385" xml:space="preserve">earum omnium lineę homologę
              <lb/>
            duabus quibuſdam ſint æquidiſtantes: </s>
            <s xml:id="echoid-s386" xml:space="preserve">ductis verò oppoſi-
              <lb/>
            tis tangentibus ſingularum ſimilium figurarum, quę ſint
              <lb/>
            parallelę illis duabus, quibus homologę earumdem ęqui-
              <lb/>
            diſtant, & </s>
            <s xml:id="echoid-s387" xml:space="preserve">repertis incidentibus duarum ex dictis ſimilibus
              <lb/>
            figuris, & </s>
            <s xml:id="echoid-s388" xml:space="preserve">earum tangentium, illę productę fuerint vſq; </s>
            <s xml:id="echoid-s389" xml:space="preserve">ad
              <lb/>
            extremas tangentes, reperiamus autem eaſdem à tangenti-
              <lb/>
            bus ſimilium figurarum ſimiliter ad eandem partem diuidi,
              <lb/>
            quarum portiones inter oppoſitas tangentes ſimilium figu-
              <lb/>
            rarum iacentes ſint earundem oppoſitarum tangentium, &</s>
            <s xml:id="echoid-s390" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum