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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[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
Page: 229 (191)
[222.] Notæ in Propoſit. XVIII. & XIX.
Page: 230 (192)
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
Page: 231 (193)
[224.] PROPOSITIO XXI.
Page: 233 (195)
[225.] PROPOSITIO XXII.
Page: 235 (197)
[226.] PROPOSITIO XXIII.
Page: 236 (198)
[227.] PROPOSITIO XXIV.
Page: 236 (198)
[228.] Notæ in Propoſit. XX.
Page: 237 (199)
[229.] Notæ in Propoſit. XXI.
Page: 241 (203)
[230.] Notæ in Propoſit. XXII.
Page: 243 (205)
[231.] Notæ in Propoſit. XXIII.
Page: 244 (206)
[232.] Notæ in Propoſit. XXIV.
Page: 245 (207)
[233.] SECTIO NONA Continens Propoſit. XXV.
Page: 245 (207)
[234.] Notæ in Propoſit. XXV.
Page: 246 (208)
[235.] LEMMA IX.
Page: 267 (229)
[236.] SECTIO DECIMA Continens Propoſit. XXVI. XXVII. & XXVIII. PROPOSITIO XXVI.
Page: 275 (237)
[237.] PROPOSITIO XXVII.
Page: 276 (238)
[238.] PROPOSITIO XXVIII.
Page: 278 (240)
[239.] Notæ in Propoſit. XXVI.
Page: 279 (241)
[240.] Notæ in Propoſit. XXVII.
Page: 280 (242)
[241.] Notæ in Propoſit. XXVIII.
Page: 284 (246)
[242.] LEMMAX.
Page: 284 (246)
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
Page: 285 (247)
[244.] PROPOSITIO XXX.
Page: 286 (248)
[245.] PROPOSITIO XXXI.
Page: 289 (251)
[246.] Notæ in Propoſit. XXIX.
Page: 291 (253)
[247.] Notæ in Propoſit. XXX.
Page: 292 (254)
[248.] Notæ in Propoſit. XXXI.
Page: 296 (258)
[249.] LIBRI SEXTI FINIS.
Page: 308 (270)
[250.] DEFINITIONES. I.
Page: 309 (271)
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            Carpo Antiochenſe apud Pappum. </s>
            <s xml:id="echoid-s12820" xml:space="preserve">Liber de Figuris Iſoperimetris aſſer-
              <lb/>
              <note position="right" xlink:label="note-0419-01" xlink:href="note-0419-01a" xml:space="preserve">In proh.
                <lb/>
              lib. 8.</note>
            uatur apud Arabes tantum; </s>
            <s xml:id="echoid-s12821" xml:space="preserve">non igitur adulterina buiuſmodi lemmata
              <lb/>
            erunt, propterea quod Archimedes ea non nominat in paucis libris reſiduis,
              <lb/>
            & </s>
            <s xml:id="echoid-s12822" xml:space="preserve">fortè commemorata fuerunt in aliquibus alijs ex multis operibus eius
              <lb/>
            iniuria temporum deperditis.</s>
            <s xml:id="echoid-s12823" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12824" xml:space="preserve">Quartò ſane negari non poßunt euidentiſsimi errores in hiſce demon-
              <lb/>
            ſtrationibus, qui certè lemmatum auctori tribuendi non ſunt, vt ſuis
              <lb/>
            in locis adnotabo; </s>
            <s xml:id="echoid-s12825" xml:space="preserve">explanatorum enim imperitia ſæpenumero propoſitiones
              <lb/>
            vniuerſaliter pronunciatæ violenter in ſenſu particulari, & </s>
            <s xml:id="echoid-s12826" xml:space="preserve">deformi ex-
              <lb/>
            ponuntur. </s>
            <s xml:id="echoid-s12827" xml:space="preserve">Neque mirum eſt opera antiquorum magni nominis paſsim,
              <lb/>
            & </s>
            <s xml:id="echoid-s12828" xml:space="preserve">multis modis deformata fuiße tranſcriptorum incuria opponendo notas
              <lb/>
            marginales, detrahendo, & </s>
            <s xml:id="echoid-s12829" xml:space="preserve">ſuperaddendo textui alienas ſententias, ac
              <lb/>
            teſtimonia, & </s>
            <s xml:id="echoid-s12830" xml:space="preserve">hoc præcipuæ in codicibus Arabicis frequentiſsimè obſer-
              <lb/>
            uauit Excell. </s>
            <s xml:id="echoid-s12831" xml:space="preserve">Abrahamus Ecchellenſis. </s>
            <s xml:id="echoid-s12832" xml:space="preserve">Sed nihilominus in tanta tran-
              <lb/>
            sformatione à vetuſtate, & </s>
            <s xml:id="echoid-s12833" xml:space="preserve">ignorantia amanuenſium profecta veſti-
              <lb/>
            gium aliquod ſubobſcurum admirandi, & </s>
            <s xml:id="echoid-s12834" xml:space="preserve">perſpicui Archimedis ingenij
              <lb/>
            dignoſcitur.</s>
            <s xml:id="echoid-s12835" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12836" xml:space="preserve">Tandem non inani coniectura ex Pappi, & </s>
            <s xml:id="echoid-s12837" xml:space="preserve">Eutocij teſtimonijs pro-
              <lb/>
            bari poteſt idipſum, quod Arabes ratum habent, ſcilicet Archimedem
              <lb/>
            huius libelli auctorem fuiſſe. </s>
            <s xml:id="echoid-s12838" xml:space="preserve">Et primo aio præter reliqua operaiam nota
              <lb/>
            edidiſſe Archimedem librum Lemmatum, quod quidem deducitur ex
              <lb/>
            Eutocio in Comment. </s>
            <s xml:id="echoid-s12839" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s12840" xml:space="preserve">4. </s>
            <s xml:id="echoid-s12841" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s12842" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12843" xml:space="preserve">de Sphæra, & </s>
            <s xml:id="echoid-s12844" xml:space="preserve">Cylindro, vbi ait:
              <lb/>
            </s>
            <s xml:id="echoid-s12845" xml:space="preserve">Id, quod promiſerat ſe demonſtraturum, (ſcilicrt Archimedes) in
              <lb/>
            nullis exemplaribus reperire eſt, quare etiam Dionyſodorum de-
              <lb/>
            prehendimus nunquam in ea incidiſſe, adeoque cum non potue-
              <lb/>
            rit relictum (ab Archimede) lemma attingere diuerſam viam ſu-
              <lb/>
            ſcepit vniuerſi problematis, quam deinceps deſcribemus. </s>
            <s xml:id="echoid-s12846" xml:space="preserve">Dio-
              <lb/>
            cles porrò idipſum in libro à ſe de Pyrijs inſcripto, promiſſum
              <lb/>
            fuiſſe ab Archimede nunquam præſtitum opinatus, ſupplere con-
              <lb/>
            tendit, cuius conatum mox apponemus, quod & </s>
            <s xml:id="echoid-s12847" xml:space="preserve">ipſum pariter
              <lb/>
            à ſuperius propoſitis diſcedit; </s>
            <s xml:id="echoid-s12848" xml:space="preserve">itidem enim ac Dionyſodorus alia
              <lb/>
            demonſtrandi ratione problema ſtruit. </s>
            <s xml:id="echoid-s12849" xml:space="preserve">IN QVODAM AVTEM
              <lb/>
            VETERI LIBRO (neque enim diuturnæ pepercimus diligentiæ)
              <lb/>
            ſupraſcripta incidimus theoremata haud exiguam tamen haben-
              <lb/>
            tia obſcuritatem præ erratis, multiformiterque mendoſa in figu-
              <lb/>
            rationibus. </s>
            <s xml:id="echoid-s12850" xml:space="preserve">Eamdem equidem veritatem, quam inquirebamus,
              <lb/>
            atque in parte domeſticam Archimedi linguã Doricam </s>
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