Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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        <div xml:id="echoid-div1" type="front" level="1" n="1">
          <div xml:id="echoid-div5" type="preface" level="2" n="1">
            <p>
              <s xml:id="echoid-s22" xml:space="preserve">
                <pb n="10" file="0010" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0010"/>
              facultas mihi non fuit. </s>
              <s xml:id="echoid-s23" xml:space="preserve">Præterea, licet in his libris nonnullę inueniantur
                <lb/>
              propoſitiones, quæ diſiunctam ab alijs habeant rationem, eæ non ſper-
                <lb/>
              nendæ tamen ſunt, viam fortaſſe alicui aperient vlterius progrediendi.
                <lb/>
              </s>
              <s xml:id="echoid-s24" xml:space="preserve">Quemadmodum enim, exempli gratia, ex ſub contraria coni ſectione,
                <lb/>
              ſumpta poſtea fuit diuina illa Planisferijdelineation, quæ ſub Ptolomæi no-
                <lb/>
              mine legitur, & ſicuti ex
                <ref id="ref-0001">penultima primi Euclidis</ref>
              , quam Pythagoras
                <lb/>
              excogitauit propè innumeræ pulchræ conſequentiæ in Aſtronomia, in
                <lb/>
              Architectura, in
                <reg norm="multisque" type="simple">multisq́;</reg>
              alijs ſcientijs deſumptæ ſunt, immo quemad-
                <lb/>
              modum ex ſingulis propoſitionibus à noſtris maioribus excogitatis mul-
                <lb/>
              ta egregia ſunt deducta, ita fortaſſe continget, vt ex mearum muentio-
                <lb/>
              num aliqua,
                <reg norm="nonnihil" type="context">nõnihil</reg>
              in poſterum vtilitatis deſumatur. </s>
              <s xml:id="echoid-s25" xml:space="preserve">Si quid verò, hic in-
                <lb/>
              ueneris, quod tuo genio non arrideat, illa prudentiſſimi hominis ſen-
                <lb/>
              tentia in mentem veniat. </s>
              <s xml:id="echoid-s26" xml:space="preserve">
                <emph style="it">Quot capita, tot ſententiæ</emph>
              , ac per raro con-
                <lb/>
              tingere, vt idem omnibus probari, atque placere queat, & perdifficulter
                <lb/>
              inueniri hominem cui placeant omnia quæ alteri ſatisfaciunt. </s>
              <s xml:id="echoid-s27" xml:space="preserve">Nec te mo
                <lb/>
              ueat, quodhęc Theoremata ſiue excogitationes non videas ordine illo di-
                <lb/>
              ſpoſitas, quo collocari debere exiſtimaueris, tum in Arithmeticis, tum in
                <lb/>
              cæteris. </s>
              <s xml:id="echoid-s28" xml:space="preserve">Cum enim in huiuſmodi rebus ordo non ſit neceſſarr
                <unsure/>
              us, vi-
                <lb/>
              ſum eſt mihi poſſe me, ſine repræhenſione, illum negligere, cum ſpe-
                <lb/>
              culationi, ſiue inuentioni preęcipuè adeo mihi incumbendum decreuerim
                <lb/>
              vtin collocatione operam ponere, & tempus abſumere operæpretium
                <lb/>
              non duxerim, quod idem in epiſtolarum collocatione feci, in quibus per-
                <lb/>
              ſonarum ad quas ſcribo nullus ferè graduum ordo ſeruatus eſt, nec tem-
                <lb/>
              poris, quo ſunt ſcriptæ, quæſitorum tantummodo ratione habita. </s>
              <s xml:id="echoid-s29" xml:space="preserve">Nec
                <lb/>
              admirari quenquam velim, quod in ſpeculandis numerorum paſſioni-
                <lb/>
              bus, figuris vtar geometricis, ita enim in
                <ref id="ref-0002">.2. libr.</ref>
              fecit Euclides, qui mo-
                <lb/>
              dus, eo magis mihi arridet, quo minus eſt abſtractus,
                <emph style="it">quoniam oportet in-
                  <lb/>
                telligentem phantaſmata ſpeculari</emph>
              , cum pręterea perſpicuum ſit, diſcretum
                <lb/>
              omne, ex continui diuiſione aliquo modo oriri, ſiue actu, ſiue potentia.
                <lb/>
              </s>
              <s xml:id="echoid-s30" xml:space="preserve">Deinde ſi forte meis in deinonſtrationibus tibi videbor aliquando bre-
                <lb/>
              uior, illud in cauſa fuiſſe ſcias, quod ibi ad viros ſcribebam in his diſcipli-
                <lb/>
              nis exercitatos, quibus ſatis fuit rem ſignificare. </s>
              <s xml:id="echoid-s31" xml:space="preserve">Libuit autem mihi om-
                <lb/>
              nes voluminis Arithmetici propoſitiones potius vocabulo theorema-
                <lb/>
              tum appellare, quam problematum, quia pars earum ſpeculatiua tan-
                <lb/>
              tum mea eſt, & ſi ex varijs eiuſmodi propoſitionibus etiam operatiuam
                <lb/>
              adinuenerim. </s>
              <s xml:id="echoid-s32" xml:space="preserve">Quoniam verò multis in locis accidit, vt veritatis iudi-
                <lb/>
              candæ cauſa neceſſe mihi fuerit quorundam ſententijs aduerſari nolim te </s>
            </p>
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        </div>
      </text>
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