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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                <head xml:id="echoid-head362" xml:space="preserve">PER EVNDEM PARALLELVM
                  <lb/>
                abſque correctione ſemper nauigari
                  <lb/>
                non poſſe.</head>
                <head xml:id="echoid-head363" style="it" xml:space="preserve">Vbi not antur Petri
                  <reg norm="Nonij" type="lig">Nonij</reg>
                lapſus in correctione erroris nauis.
                  <lb/>
                Et alij Petri Medinæ errores.</head>
                <head xml:id="echoid-head364" xml:space="preserve">ILLVSTRISSIMO ANDREAE PROVANAE
                  <lb/>
                Leinici Domino, Fruzaſci comiti, Aequiti Torquato, inthimo Sere-
                  <lb/>
                niſsimi Sabaudiæ Ducis Conſiliario,
                  <reg norm="eiuſque" type="simple">eiuſq́;</reg>
                , & ſacræ religio-
                  <lb/>
                nis ſanctorum Mauritij, & Lazari Claſsi Præfecto.</head>
                <p>
                  <s xml:id="echoid-s2681" xml:space="preserve">
                    <emph style="sc">INter</emph>
                  Eximiastuas virtutes, reinauticæ peritia Illuſtris emicat
                    <lb/>
                  merito ad te ſcribendum duxi, quod ad eam facultatem perti-
                    <lb/>
                  nens excogitaui, ſimul cum quibuſdam alijs inſtrumentis, vt non-
                    <lb/>
                  nihil commodi attuliſſe videar maritimis negotijs, & aliqua ex
                    <lb/>
                  parte animi mei erga te propenſionem indicauiſſe.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2682" xml:space="preserve">PEr vnum
                    <reg norm="eum" type="context">eũ</reg>
                    <reg norm="demque" type="simple">demq́;</reg>
                  parallelum in primis
                    <reg norm="abſque" type="simple">abſq;</reg>
                  aliqua corre
                    <lb/>
                  ctione ſemper nauigari poſſe, omninò nego. </s>
                  <s xml:id="echoid-s2683" xml:space="preserve">
                    <reg norm="Nam" type="context">Nã</reg>
                  ,
                    <reg norm="verum" type="context">verũ</reg>
                  eſtid quod Petrus Nonius in
                    <lb/>
                  initio ſui operis oſtendit, ideſt nauim verſus æquatorem ſemper declinare: </s>
                  <s xml:id="echoid-s2684" xml:space="preserve">qui
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  corrigit errorem, fallitur, cum ipſe, eandem nauim, parallelam æquatori in vno ver
                    <lb/>
                  ticali ipſi æquatori propinquiori, & non in primo parallelo dirigit, itaque exiſtimat
                    <lb/>
                  in fine itineris, vbi deſcribit punctum
                    <var>.o.</var>
                  eam in eodem parallelo priori repe-
                    <lb/>
                  riri debere, quod
                    <reg norm="verum" type="context">verũ</reg>
                    <reg norm="non" type="context">nõ</reg>
                  eſt, quia ea correctio efficit, vt motus nauis
                    <reg norm="effectum" type="context">effectũ</reg>
                    <reg norm="cuiuſdam" type="context">cuiuſdã</reg>
                    <lb/>
                    <reg norm="deſcenſus" type="context">deſcẽſus</reg>
                    <reg norm="per" type="simple">ꝑ</reg>
                  ſcaligradum pręſtet, in quo à gradu in
                    <reg norm="gradum" type="context">gradũ</reg>
                  fiat deſcenſus, ſed ſi per gra
                    <lb/>
                  dus
                    <reg norm="tantum" type="wordlist">tm̃</reg>
                  aſcenderet
                    <reg norm="quantum" type="context context">quãtũ</reg>
                    <reg norm="deſcendit" type="context">deſcẽdit</reg>
                  ,
                    <reg norm="dubium" type="context">dubiũ</reg>
                    <reg norm="non" type="context">nõ</reg>
                  eſt quin in fine ita eſſet ſe habitura
                    <reg norm="quem" type="context">quẽ</reg>
                    <lb/>
                  ad modum in medio & in principio, cum verò ſemper deſcendat, abſque vlla aſcen-
                    <lb/>
                  ſione, neceſſariò ſic ſemper procedens, remota cum eſſent impedimenta terræ, ſub
                    <lb/>
                  æquatore reperiretur, ſub quo perpetuò circuiret globum.</s>
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                <p>
                  <s xml:id="echoid-s2685" xml:space="preserve">Idem ſub quolibet meridiano præſtare poteſt, ideſt vno
                    <reg norm="eodemque" type="simple">eodemq́;</reg>
                  vento circun-
                    <lb/>
                  uerti: </s>
                  <s xml:id="echoid-s2686" xml:space="preserve">ſed per alios circulos quam per hos duos (ſiue circulus magnus ſiue paruus) id
                    <lb/>
                  nunquam perfectè efficere poteſt, de parallelis iam manifeſtum eſt, cum impetus na
                    <lb/>
                  turalis corporum, quæ mota ſunt ſint ſemper in ſuperficiebus circulorum maiorum,
                    <lb/>
                  quorum circunferentię cum circunferentijs minorum, præter quam per vnum quod
                    <lb/>
                  dam punctum quando adinuicem contiguæ ſunt, aut per duo ideſt cum ſe ſe interſe-
                    <lb/>
                  cant non communicant, ita quod ad efficiendum, vt triremis aliqua, aut nauis, per
                    <lb/>
                  aliquem ex parallelis ad æquatorem moueatur, neceſſario ſit futurum, vt ratione
                    <reg norm="con- tiguitatis" type="context">cõ-
                      <lb/>
                    tiguitatis</reg>
                  & non continuitatis eam moueri curemus. </s>
                  <s xml:id="echoid-s2687" xml:space="preserve">quia ratione continuitatis om-
                    <lb/>
                  ninò fieri non
                    <reg norm="pont" type="context">põt</reg>
                  , aut conſtet virtus mouens remis, aut velis. </s>
                  <s xml:id="echoid-s2688" xml:space="preserve">Sed per quemlibet
                    <reg norm="alium" type="context">aliũ</reg>
                    <lb/>
                  circulum maiorem, qui non ſit aut æquator aut aliquis ex meridianis, eſt penitus im
                    <lb/>
                  poſſibile. </s>
                  <s xml:id="echoid-s2689" xml:space="preserve">ideſt vt vnius venti vi nauis impellatur. </s>
                  <s xml:id="echoid-s2690" xml:space="preserve">Quod vt clarè pateat, ſit orizon
                    <var>.
                      <lb/>
                    a.c.b.d.</var>
                  & æquator
                    <var>.c.q.t.d.</var>
                  & vnus meridianorum ſit
                    <var>.a.r.n.t.b.</var>
                  in quo
                    <var>.n.</var>
                  ſit Zenit ſub
                    <lb/>
                  quo primum nauis reperiatur et
                    <var>.r.</var>
                  ſit polus ſeptentrionalis. </s>
                  <s xml:id="echoid-s2691" xml:space="preserve">Ponamus etiam quod </s>
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