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
141 103
142 104
143 105
144 106
145 107
146 108
147 109
148 110
149 111
150 112
151 113
152 114
153 115
154 116
155 117
156 118
157 119
158 120
159 121
160 122
161 123
162 124
163 125
164 126
165 127
166 128
167 129
168 130
169 131
170 132
< >
page |< < (272) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div845" type="section" level="1" n="255">
          <p>
            <s xml:id="echoid-s10147" xml:space="preserve">
              <pb o="272" file="0310" n="310" rhead="Apollonij Pergæi"/>
            reliquæ verò lineæ referuntur ad hoc latus.</s>
            <s xml:id="echoid-s10148" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div846" type="section" level="1" n="256">
          <head xml:id="echoid-head320" xml:space="preserve">VII.</head>
          <p>
            <s xml:id="echoid-s10149" xml:space="preserve">Inſuper vocabo duas diametros coniugatas, & </s>
            <s xml:id="echoid-s10150" xml:space="preserve">æquales in elli-
              <lb/>
            pſi, ÆQVALES.</s>
            <s xml:id="echoid-s10151" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10152" xml:space="preserve">Et ſi quidem ad vtraſque partes axis ſectionis duæ diame-
              <lb/>
            tri educantur, quæ ad ſua erecta eandem proportionem ha-
              <lb/>
            beant, vtique vocabo c
              <unsure/>
            as ÆQVALES.</s>
            <s xml:id="echoid-s10153" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div847" type="section" level="1" n="257">
          <head xml:id="echoid-head321" xml:space="preserve">VIII.</head>
          <p>
            <s xml:id="echoid-s10154" xml:space="preserve">Diametros verò æquales ad vtraſque partes duarum axium elli-
              <lb/>
            pſis cadentes, voco Homologas illius axis: </s>
            <s xml:id="echoid-s10155" xml:space="preserve">ſuntque homo-
              <lb/>
            logæ diametri in ellipſi tranſuerſa ad tranſuerſam, & </s>
            <s xml:id="echoid-s10156" xml:space="preserve">recta
              <lb/>
            ad rectam.</s>
            <s xml:id="echoid-s10157" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div848" type="section" level="1" n="258">
          <head xml:id="echoid-head322" xml:space="preserve">NOTÆ.</head>
          <p style="it">
            <s xml:id="echoid-s10158" xml:space="preserve">I. </s>
            <s xml:id="echoid-s10159" xml:space="preserve">P Rima definitio breuiſſimè exponi poteſt hac ratione. </s>
            <s xml:id="echoid-s10160" xml:space="preserve">Si axis tranſuerſus
              <lb/>
            interius in hyperbola diuidatur, aut exterius in ellipſi, ſecundum pro-
              <lb/>
            portionem figuræ, ſegmentum homologum axis tranſuerſi vocabo Præſectum, vt
              <lb/>
            ſi fuerit hyperbole, vel ellipſis A B, cuius axis tranſuerſus A C, centrum D,
              <lb/>
            latus rectũ A F, & </s>
            <s xml:id="echoid-s10161" xml:space="preserve">in hyperbola ſecetur C A inter vertices A, & </s>
            <s xml:id="echoid-s10162" xml:space="preserve">C; </s>
            <s xml:id="echoid-s10163" xml:space="preserve">in ellipſi
              <lb/>
            verò ſecetur exterius in puncto G, ita vt ſumma, vel differentia ipſarum G A,
              <lb/>
            & </s>
            <s xml:id="echoid-s10164" xml:space="preserve">axis C A, ideſt C G ad G A habeat proportionem figuræ ſcilicet eandem,
              <lb/>
            quàm habet latus tranſuerſum C A ad latus rectum A F; </s>
            <s xml:id="echoid-s10165" xml:space="preserve">tunc quidem vocatur
              <lb/>
            recta linea C G Præſecta.</s>
            <s xml:id="echoid-s10166" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10167" xml:space="preserve">II. </s>
            <s xml:id="echoid-s10168" xml:space="preserve">Atque G A vocatur Intercepta.</s>
            <s xml:id="echoid-s10169" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10170" xml:space="preserve">III. </s>
            <s xml:id="echoid-s10171" xml:space="preserve">Punctum verò A extremum
              <lb/>
              <figure xlink:label="fig-0310-01" xlink:href="fig-0310-01a" number="357">
                <image file="0310-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0310-01"/>
              </figure>
            interceptæ G A, & </s>
            <s xml:id="echoid-s10172" xml:space="preserve">diametri C A
              <lb/>
            vocabitur terminus communis dua-
              <lb/>
            rum linearum, ſcilicet axis C A, & </s>
            <s xml:id="echoid-s10173" xml:space="preserve">
              <lb/>
            additæ, vel ablatæ A G.</s>
            <s xml:id="echoid-s10174" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10175" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s10176" xml:space="preserve">Punctum verò G, in quo axis
              <lb/>
            A C interius, vel exterius diuiditur
              <lb/>
            ſecundum proportionem figuræ voca-
              <lb/>
            tur terminus diuidens; </s>
            <s xml:id="echoid-s10177" xml:space="preserve">Si verò ſece-
              <lb/>
            tur C H æqualis A G vocabitur etiã
              <lb/>
            C H intercepta, & </s>
            <s xml:id="echoid-s10178" xml:space="preserve">A H præſecta,
              <lb/>
            atque C terminus communis, & </s>
            <s xml:id="echoid-s10179" xml:space="preserve">H
              <lb/>
            terminus diuidens.</s>
            <s xml:id="echoid-s10180" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10181" xml:space="preserve">V. </s>
            <s xml:id="echoid-s10182" xml:space="preserve">Si diameter I L ſecuerit biſa-
              <lb/>
            riam ſubtenſam A B à ſectionis ver
              <lb/>
            tice A eductam, atque à termino </s>
          </p>
        </div>
      </text>
    </echo>
Impressum