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
171 133
172 134
173 135
174 136
175 137
176 138
177 139
178 140
179 141
180 142
181 143
182 144
183 145
184 146
185 147
186 148
187 149
188 150
189 151
190 152
191 153
192 154
193 155
194 156
195 157
196 158
197 159
198 160
199 161
200 162
< >
page |< < (137) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div509" type="section" level="1" n="167">
          <p style="it">
            <s xml:id="echoid-s5348" xml:space="preserve">
              <pb o="137" file="0175" n="175" rhead="Conicor. Lib. VI."/>
            les, & </s>
            <s xml:id="echoid-s5349" xml:space="preserve">educantur in quolibet eorum ordinationes ad ſuas baſes numero
              <lb/>
            æquales, quarum proportio cum diametris eſt, vti diximus in ſectioni-
              <lb/>
            bus ſimilibus. </s>
            <s xml:id="echoid-s5350" xml:space="preserve">Idem repetit in propoſ. </s>
            <s xml:id="echoid-s5351" xml:space="preserve">15. </s>
            <s xml:id="echoid-s5352" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s5353" xml:space="preserve">rurſus in propoſ. </s>
            <s xml:id="echoid-s5354" xml:space="preserve">16. </s>
            <s xml:id="echoid-s5355" xml:space="preserve">li-
              <lb/>
            tera a inquit: </s>
            <s xml:id="echoid-s5356" xml:space="preserve">Et quod
              <lb/>
              <figure xlink:label="fig-0175-01" xlink:href="fig-0175-01a" number="175">
                <image file="0175-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0175-01"/>
              </figure>
            anguli à potentialibus,
              <lb/>
            & </s>
            <s xml:id="echoid-s5357" xml:space="preserve">abſciſſis contenti ſint
              <lb/>
            æquales in duobus ſeg-
              <lb/>
            mentis, erit ſegmentum
              <lb/>
            H A G ſimile ſegmento
              <lb/>
            ICK: </s>
            <s xml:id="echoid-s5358" xml:space="preserve">&</s>
            <s xml:id="echoid-s5359" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5360" xml:space="preserve">& </s>
            <s xml:id="echoid-s5361" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s5362" xml:space="preserve">17.
              <lb/>
            </s>
            <s xml:id="echoid-s5363" xml:space="preserve">litera c ait: </s>
            <s xml:id="echoid-s5364" xml:space="preserve">& </s>
            <s xml:id="echoid-s5365" xml:space="preserve">anguli
              <lb/>
            comprehenſi à potenti-
              <lb/>
            bus, & </s>
            <s xml:id="echoid-s5366" xml:space="preserve">abſciſſis ſunt æ-
              <lb/>
            quales; </s>
            <s xml:id="echoid-s5367" xml:space="preserve">&</s>
            <s xml:id="echoid-s5368" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5369" xml:space="preserve">propterea
              <lb/>
            duo ſegmenta ſunt ſimi-
              <lb/>
            lia; </s>
            <s xml:id="echoid-s5370" xml:space="preserve">Et in eadem propoſ. </s>
            <s xml:id="echoid-s5371" xml:space="preserve">
              <lb/>
            litera d dicit. </s>
            <s xml:id="echoid-s5372" xml:space="preserve">Quia propter ſimilitudinem duorum ſegmentorum conti-
              <lb/>
            nebunt potentes cum ſuis abſciſſis angulos æquales. </s>
            <s xml:id="echoid-s5373" xml:space="preserve">Et codem modo ſem-
              <lb/>
            per loquitur Apollonius; </s>
            <s xml:id="echoid-s5374" xml:space="preserve">quare dubitandum non eſt, in Eutocij definitione hæc
              <lb/>
            eadem verba deſiderari.</s>
            <s xml:id="echoid-s5375" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s5376" xml:space="preserve">Immutaui poſtea verba ſubſequentia; </s>
            <s xml:id="echoid-s5377" xml:space="preserve">nam ordinationes, ſeu ordinatim ap-
              <lb/>
            plicatæ ducuntur ad diametros, non ad baſes, & </s>
            <s xml:id="echoid-s5378" xml:space="preserve">debent eſſe baſibus æquidiſtan-
              <lb/>
            tes. </s>
            <s xml:id="echoid-s5379" xml:space="preserve">Deinde breuitas affectata poſtremæ partis huius definitionis non Apollonio,
              <lb/>
            ſed Arabico Interpreti tribui debet, nam eadem expreſſe, & </s>
            <s xml:id="echoid-s5380" xml:space="preserve">extenſe declaratur
              <lb/>
            in textu Eutocij his verbis. </s>
            <s xml:id="echoid-s5381" xml:space="preserve">In quarum ſingulis ductis lineis baſi parallelis
              <lb/>
            numero æqualibus, ſint ipſæ parallelæ, & </s>
            <s xml:id="echoid-s5382" xml:space="preserve">baſes ad abſciſſas diametrorum
              <lb/>
            partes ſumptas à verticibus in ijſdem rationibus, tum abſciſſe ipſæ ad ab-
              <lb/>
            ſciſſas. </s>
            <s xml:id="echoid-s5383" xml:space="preserve">In textu verò Arabico hæc non habentur expreſsè, ſicut in ſecunda de-
              <lb/>
            finitione, quàm citat hiſce verbis. </s>
            <s xml:id="echoid-s5384" xml:space="preserve">Et educantur ex quolibet eorum ordina-
              <lb/>
            tiones baſibus parallelæ numero æquales, quarum proportio cum diame-
              <lb/>
            tris eſt, vti diximus in ſectionibus ſimilibus.</s>
            <s xml:id="echoid-s5385" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div514" type="section" level="1" n="168">
          <head xml:id="echoid-head220" xml:space="preserve">MONITVM.</head>
          <p style="it">
            <s xml:id="echoid-s5386" xml:space="preserve">AMOR veritatis, & </s>
            <s xml:id="echoid-s5387" xml:space="preserve">muneris ſuſcepti ratio exigere vide-
              <lb/>
            tur, vt definitiones ſectionum conicarum ſimilium, quæ cir-
              <lb/>
            cunferuntur, accuratius examinentur, ne (vt Mydorgij
              <lb/>
            verbis vtar) à magnis nominibus (Eutocium dico, Com-
              <lb/>
            mandinum, & </s>
            <s xml:id="echoid-s5388" xml:space="preserve">Mydorgium) præiudicium diutius fiat veritati, hoc au-
              <lb/>
            tem ad propoſ. </s>
            <s xml:id="echoid-s5389" xml:space="preserve">11. </s>
            <s xml:id="echoid-s5390" xml:space="preserve">12. </s>
            <s xml:id="echoid-s5391" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s5392" xml:space="preserve">præſtabo. </s>
            <s xml:id="echoid-s5393" xml:space="preserve">Interim monendus es Le-
              <lb/>
            ctor, in definitione ab Eutocio relata aliqua verba deficere (nimirum
              <lb/>
            quod abſciſſæ in axibus, aut diametris æquè ad ordinatas inclinatis
              <lb/>
            ſumantur) in definitiombus Commandini aliquod deſiderari, & </s>
            <s xml:id="echoid-s5394" xml:space="preserve">eas </s>
          </p>
        </div>
      </text>
    </echo>
Impressum