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

Page concordance

< >
Scan Original
41 21
42 22
43 23
44 24
45 25
46 26
47 27
48 28
49 29
50 30
51 31
52 32
53 33
54 34
55 35
56 36
57 37
58 38
59 39
60 40
61 41
62 42
63 43
64 44
65 45
66 46
67 47
68 48
69 49
70 50
< >
page |< < (48) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div144" type="section" level="1" n="99">
          <p>
            <s xml:id="echoid-s1240" xml:space="preserve">
              <pb o="48" file="0068" n="68" rhead="GEOMETRIÆ"/>
            eadem parallela plana eſſe æqualiter ad eandem partem inclinata.
              <lb/>
            </s>
            <s xml:id="echoid-s1241" xml:space="preserve">
              <note position="left" xlink:label="note-0068-01" xlink:href="note-0068-01a" xml:space="preserve">Defin. 3.
                <lb/>
              Vndec. El.</note>
            Siigitur, AG, KY, eſſent dictis planis parallelis perpendiculares,
              <lb/>
              <note position="left" xlink:label="note-0068-02" xlink:href="note-0068-02a" xml:space="preserve">18. Vnde-
                <lb/>
              cimi El.</note>
            manifeſtum eſt, quod anguli, AGV, Κ Υ Λ, eſſent æquales, ideſt
              <lb/>
            recti, & </s>
            <s xml:id="echoid-s1242" xml:space="preserve">plana, AV, Κ Λ, eiſdem planis parallelis erecta; </s>
            <s xml:id="echoid-s1243" xml:space="preserve">ſed non
              <lb/>
            ſint perpendiculares, & </s>
            <s xml:id="echoid-s1244" xml:space="preserve">à punctis, A, K, demittanturipſę, AE, K
              <lb/>
              <figure xlink:label="fig-0068-01" xlink:href="fig-0068-01a" number="34">
                <image file="0068-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0068-01"/>
              </figure>
            T, quæ eiſdem
              <lb/>
            ſint perpẽdicu-
              <lb/>
            lares, incidant
              <lb/>
            autem ſubiectis
              <lb/>
            planis in pun-
              <lb/>
            ctis, E, T; </s>
            <s xml:id="echoid-s1245" xml:space="preserve">de-
              <lb/>
            inde à puncto,
              <lb/>
            A, ad, HG, V
              <lb/>
            G, productas,
              <lb/>
            ducantur per-
              <lb/>
            pendiculares, A
              <lb/>
            F, quidem ipſi;
              <lb/>
            </s>
            <s xml:id="echoid-s1246" xml:space="preserve">HG, & </s>
            <s xml:id="echoid-s1247" xml:space="preserve">AP,
              <lb/>
              <note position="left" xlink:label="note-0068-03" xlink:href="note-0068-03a" xml:space="preserve">Vide di-
                <lb/>
              cta lib. 7.
                <lb/>
              annot.</note>
            ipſi, VG, inci-
              <lb/>
            dentes in pun-
              <lb/>
              <note position="left" xlink:label="note-0068-04" xlink:href="note-0068-04a" xml:space="preserve">Prop. 3.</note>
            ctis, V, P, niſi
              <lb/>
            fortè, AG, eſſet
              <lb/>
            alteri earũ per-
              <lb/>
            pendicularis, vt
              <lb/>
            contingere po-
              <lb/>
            teſt, & </s>
            <s xml:id="echoid-s1248" xml:space="preserve">iungan-
              <lb/>
            tur, EP, EG,
              <lb/>
            EF; </s>
            <s xml:id="echoid-s1249" xml:space="preserve">ſimiliter in
              <lb/>
            alia figura ca-
              <lb/>
            dant à puncto,
              <lb/>
            K, perpendicu-
              <lb/>
            lariter ſuper ip-
              <lb/>
            ſas, & </s>
            <s xml:id="echoid-s1250" xml:space="preserve">Y, Λ Υ,
              <lb/>
            productas, ſi o-
              <lb/>
            pus ſit, ipſæ, K
              <lb/>
            Z, KX, & </s>
            <s xml:id="echoid-s1251" xml:space="preserve">iun-
              <lb/>
              <note position="left" xlink:label="note-0068-05" xlink:href="note-0068-05a" xml:space="preserve">47. Primi
                <lb/>
              Elem.</note>
            gantur ſimiliter, TX, TY, &</s>
            <s xml:id="echoid-s1252" xml:space="preserve">, TZ. </s>
            <s xml:id="echoid-s1253" xml:space="preserve">Quoniam ergo anguli, AF
              <lb/>
            G, KZY, ſunt recti, ideò quadratum, AG, erit æquales duobus
              <lb/>
            quadratis, AF, FG, ſicut quadratum, KY, æquale duobus, KZ,
              <lb/>
            ZY, eſt autem etiam quadratum, AF, ęquale duobus quadratis, A
              <lb/>
            E, EF, quia angulus, AEF. </s>
            <s xml:id="echoid-s1254" xml:space="preserve">rectus eſt, & </s>
            <s xml:id="echoid-s1255" xml:space="preserve">quadratum, KZ, pari-
              <lb/>
            teræquale quadratis, KT, TZ, ergo quadratum, AG, ideſt </s>
          </p>
        </div>
      </text>
    </echo>
Impressum