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

Page concordance

< >
Scan Original
121 83
122 84
123 85
124 86
125 87
126 88
127 89
128 90
129 91
130 92
131 93
132 94
133 95
134 96
135 97
136 98
137 99
138 100
139 101
140 102
141 103
142 104
143 105
144 106
145 107
146 108
147 109
148 110
149 111
150 112
< >
page |< < (87) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div339" type="section" level="1" n="111">
          <p style="it">
            <s xml:id="echoid-s3617" xml:space="preserve">
              <pb o="87" file="0125" n="125" rhead="Conicor. Lib. V."/>
            te O N angulum acutum L N O ver-
              <lb/>
              <figure xlink:label="fig-0125-01" xlink:href="fig-0125-01a" number="107">
                <image file="0125-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0125-01"/>
              </figure>
              <note position="right" xlink:label="note-0125-01" xlink:href="note-0125-01a" xml:space="preserve">Lem. 11.</note>
            ticem A reſpicientem; </s>
            <s xml:id="echoid-s3618" xml:space="preserve">eſtque G C or-
              <lb/>
            dinatim applicata ad diametrum N
              <lb/>
              <note position="right" xlink:label="note-0125-02" xlink:href="note-0125-02a" xml:space="preserve">5. lib. 2.</note>
            M parallela tangenti verticali O N;
              <lb/>
            </s>
            <s xml:id="echoid-s3619" xml:space="preserve">ergo angulus L P G externus æqua-
              <lb/>
            lis erit angulo L N O interno, & </s>
            <s xml:id="echoid-s3620" xml:space="preserve">op-
              <lb/>
            poſito, & </s>
            <s xml:id="echoid-s3621" xml:space="preserve">ad eaſdem partes conſtitu-
              <lb/>
            to; </s>
            <s xml:id="echoid-s3622" xml:space="preserve">& </s>
            <s xml:id="echoid-s3623" xml:space="preserve">ideo angulus G P L acutus
              <lb/>
            quoque erit, at in triangulo P M
              <lb/>
            L angulus internus L M P, & </s>
            <s xml:id="echoid-s3624" xml:space="preserve">oppo-
              <lb/>
            ſitus minor eſt externo L P G acuto; </s>
            <s xml:id="echoid-s3625" xml:space="preserve">
              <lb/>
            igitur angulus L M P acutus pariter
              <lb/>
            erit, & </s>
            <s xml:id="echoid-s3626" xml:space="preserve">L M C obtuſus; </s>
            <s xml:id="echoid-s3627" xml:space="preserve">ſuntq; </s>
            <s xml:id="echoid-s3628" xml:space="preserve">intrian-
              <lb/>
            gulis L M G, & </s>
            <s xml:id="echoid-s3629" xml:space="preserve">L M C circa an-
              <lb/>
            gulos inæquales, latera G M, M C
              <lb/>
            æqualia, & </s>
            <s xml:id="echoid-s3630" xml:space="preserve">L M commune; </s>
            <s xml:id="echoid-s3631" xml:space="preserve">ergo L
              <lb/>
            C maior eſt, quàm L G, quod erat
              <lb/>
            faciendum.</s>
            <s xml:id="echoid-s3632" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3633" xml:space="preserve">E contra fieri poteſt, vt infimus
              <lb/>
            breuiſecans ramus L C æqualis, aut
              <lb/>
            minor ſit ramo aliquo ſupra breuiſe-
              <lb/>
            cantem reliquum B L poſito. </s>
            <s xml:id="echoid-s3634" xml:space="preserve">Nam L C minor eſt, quàm B L, & </s>
            <s xml:id="echoid-s3635" xml:space="preserve">maior effici
              <lb/>
            poteſt ramo non vltra ſectionis verticem A collocato ex prima parte huius pro-
              <lb/>
            poſitionis, ſed rami à concurſu L educti cadentes inter puncta A, & </s>
            <s xml:id="echoid-s3636" xml:space="preserve">B ſucceſ-
              <lb/>
            ſiuè augentur quo magis à vertice A recedunt; </s>
            <s xml:id="echoid-s3637" xml:space="preserve">Ergo ramus L C æqualis,
              <lb/>
            aut minor erit aliquo ramo ab eodem concurſu L educto inter puncta
              <lb/>
            A, & </s>
            <s xml:id="echoid-s3638" xml:space="preserve">B cadente; </s>
            <s xml:id="echoid-s3639" xml:space="preserve">igitur manifeſtum eſt ramum breuiſecantem
              <lb/>
            C L infimum duorum breuiſecantium, non eſſe ſemper
              <lb/>
            minimum omnium ramorum cadentium ex concurſis
              <unsure/>
              <lb/>
            L ad peripheriam ſectionis A B C, ſed tan-
              <lb/>
            tummodo minorem eſſe eorum, qui inter
              <lb/>
            duo breuiſecantes B L, C L cadunt,
              <lb/>
            & </s>
            <s xml:id="echoid-s3640" xml:space="preserve">reliquorum infra ramum
              <lb/>
            C L cadentium, atque
              <lb/>
            aliquorum in pe-
              <lb/>
            pheria
              <lb/>
            A N exiſtentium propè maximum L B;
              <lb/>
            </s>
            <s xml:id="echoid-s3641" xml:space="preserve">quapropter exiſtimandum eſt, in-
              <lb/>
            curia alicuius verba illa non
              <lb/>
            ſine Apollonij iniuria
              <lb/>
            textui irrepſiſſe.</s>
            <s xml:id="echoid-s3642" xml:space="preserve"/>
          </p>
          <figure number="108">
            <image file="0125-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0125-02"/>
          </figure>
        </div>
      </text>
    </echo>
Impressum