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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[301.] PROPOSITIO XXXIV.
Page: 354 (315)
[302.] PROPOSITIO XXXV. & XXXVI.
Page: 355 (316)
[303.] In Sectionem VI.
Page: 356 (317)
[304.] LEMMA II.
Page: 357 (318)
[305.] LEMMA III.
Page: 357 (318)
[306.] LEMMA IV.
Page: 357 (318)
[307.] LEMMA V.
Page: 358 (319)
[308.] Notæ in Propof. XXXIII. & XXXIV.
Page: 359 (320)
[309.] Notæ in Propoſit. XXXV.
Page: 360 (321)
[310.] SECTIO SEPTIMA Continens Propoſit. XXXVIII. XXXIX. & XXXX. PROPOSITIO XXXVIII.
Page: 362 (323)
[311.] PROPOSITIO XXXIX.
Page: 363 (324)
[312.] PROPOSITIO XXXX.
Page: 364 (325)
[313.] In Sectionem VII. Propoſit: XXXVIII. XXXIX. & XXXX. LEMMA VI.
Page: 366 (327)
[314.] LEMMA VII.
Page: 366 (327)
[315.] LEMMA VIII.
Page: 367 (328)
[316.] LEMMA IX.
Page: 367 (328)
[317.] Notæ in Propoſit. XXXVIII. XXXIX.
Page: 369 (330)
[318.] Notæ in Propoſit. XXXX.
Page: 369 (330)
[319.] SECTIO OCTAVA Continens Propoſit. XXXXIIII. XXXXV. & XXXXVI.
Page: 372 (333)
[320.] PROPOSITIO XXXXVI.
Page: 374 (335)
[321.] In Sectionem VIII. Propoſit. XXXXIIII. XXXXV. & XXXXVI. LEMM A.X.
Page: 375 (336)
[322.] LEMM A XI.
Page: 375 (336)
[323.] LEMM A XII.
Page: 376 (337)
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
Page: 378 (339)
[325.] Notæ in Propoſit. XXXXVI.
Page: 378 (339)
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
Page: 380 (341)
[327.] PROPOSITIO XXXXI.
Page: 382 (343)
[328.] PROPOSITIO XXXXVII.
Page: 383 (344)
[329.] PROPOSITIO XXXXVIII.
Page: 386 (347)
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
Page: 388 (349)
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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.
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              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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