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

Table of contents

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[121.] Notæ in Propoſ. LXXVI.
Page: 137 (99)
[122.] Notæ in Propoſit. LXXVII.
Page: 138 (100)
[123.] COROLLARIVM.
Page: 143 (105)
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
Page: 147 (109)
[125.] PROPOSITO XXXXII.
Page: 147 (109)
[126.] PROPOSITIO XXXXIII.
Page: 148 (110)
[127.] Notæ in Propoſ. XXXXI.
Page: 148 (110)
[128.] Notæ in Propoſ. XXXXII.
Page: 149 (111)
[129.] Notæ in Propoſit. XXXXIII.
Page: 149 (111)
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
Page: 150 (112)
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
Page: 152 (114)
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
Page: 154 (116)
[133.] PROPOSITIO XX. XXI. & XXII.
Page: 155 (117)
[134.] PROPOSITIO XXIII. & XXIV.
Page: 156 (118)
[135.] PROPOSITIO XXV.
Page: 157 (119)
[136.] Notæ in Propoſit. XIX.
Page: 157 (119)
[137.] Notæ in Propoſit. XX. XXI. XXII.
Page: 158 (120)
[138.] Notæ in Propoſ. XXIII. XXIV.
Page: 161 (123)
[139.] Notæ in Propoſ. XXXV.
Page: 161 (123)
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
Page: 162 (124)
[141.] PROPOSITIO XXXIII. XXXIV.
Page: 163 (125)
[142.] PROPOSITIO XXXV.
Page: 163 (125)
[143.] PROPOSITIO XXXVI.
Page: 164 (126)
[144.] PROPOSITIO XXXVII. XLVI.
Page: 164 (126)
[145.] PROPOSITIO XXXVIII.
Page: 165 (127)
[146.] PR OPOSITIO XXXIX.
Page: 166 (128)
[147.] PROPOSITIO XXXX.
Page: 166 (128)
[148.] PROPOSITIO XXXXVII.
Page: 166 (128)
[149.] PROPOSITIO XXXXVIII.
Page: 167 (129)
[150.] Notæ in Propoſit. XXXII.
Page: 167 (129)
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          <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>
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