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-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div483" type="section" level="3" n="3">
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                <p>
                  <s xml:id="echoid-s2691" xml:space="preserve">
                    <pb o="215" rhead="EPISTOLA." n="227" file="0227" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0227"/>
                  azimut
                    <var>.f.q.u.n.p.</var>
                  conſtituat angulum
                    <var>.a.n.p.</var>
                  ſeu
                    <var>.f.n.b.</var>
                  cum meridiano graduum .45.
                    <lb/>
                  vnde tot graduum eruntarcus
                    <var>.a.p.</var>
                  et
                    <var>.b.f.</var>
                  orizontis, quapropter punctum
                    <var>.f.</var>
                  commu-
                    <lb/>
                  ne ipſius orizontis cum azimut, erit medio in loco inter
                    <var>.b.</var>
                  et
                    <var>.c.</var>
                  & ideo quarta
                    <var>.n.f.</var>
                  ip
                    <lb/>
                  ſius azimut ſecabit quartam
                    <var>.c.t.</var>
                  ipſius æquatoris in puncto
                    <var>.q.</var>
                  & habebimus triangu-
                    <lb/>
                  Ium
                    <var>.q.t.n.</var>
                  cuius angulus
                    <var>.t.</var>
                  rectus erit, & angulus
                    <var>.n.</var>
                  cognitus ſimul cum latere
                    <var>.n.t.</var>
                  la-
                    <lb/>
                  titudinis loci, quibus rebus mediantibus deueniemus in cognitionem lateris
                    <var>.q.n.</var>
                  la-
                    <lb/>
                  teris
                    <var>.q.t.</var>
                  & anguli
                    <var>.q.</var>
                  ex .4. primi Copernici ſi voluerimus.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2692" xml:space="preserve">Ponamus nunc nauem à puncto
                    <var>.n.</var>
                  diſcedere ſeu iter facere verſus
                    <var>.u.</var>
                  punctum, &
                    <lb/>
                    <figure xlink:label="fig-0227-01" xlink:href="fig-0227-01a" number="280">
                      <image file="0227-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0227-01"/>
                    </figure>
                  in ipſo
                    <var>.u.</var>
                  reperiri, iam in hoc ſitu ha-
                    <lb/>
                  bebimus angulum huius ſecundi me-
                    <lb/>
                  ridiani
                    <var>.r.u.p.</var>
                  qui quidem in hoc caſu
                    <lb/>
                  minor eſſet angulo
                    <var>.r.n.p.</var>
                  extrinſeco
                    <lb/>
                  trianguli
                    <var>.r.u.n.</var>
                  ex conuerſo ſecundæ
                    <lb/>
                  partis .48.
                    <reg norm="propoſitionis" type="simple">ꝓpoſitionis</reg>
                  tertij lib. de
                    <reg norm="trian­ gulis" type="context">triã­
                      <lb/>
                    gulis</reg>
                  Monteregij, ſeu ex .13. primi Me
                    <lb/>
                  nelai, cuius anguli
                    <var>.u.</var>
                  arcus orizontalis
                    <lb/>
                  ſit
                    <var>.x.e.</var>
                  qui quidem minor erit arcu
                    <var>.a.
                      <lb/>
                    p.</var>
                  vt patet ratione anguli
                    <var>.r.u.e.</var>
                  mino-
                    <lb/>
                  ris, ergo alius ventus nauem impellet à
                    <lb/>
                  puncto .11. verſus
                    <var>.q.</var>
                  diuerſus ab illo qui
                    <lb/>
                  prius ab
                    <var>.n.</var>
                  verſus
                    <var>.u.</var>
                  eam impellebat.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2693" xml:space="preserve">Vnde clarè patet verum eſſe quod
                    <lb/>
                  dico, hoc eſt quod aliquo modo fieri
                    <lb/>
                  non poteſt, vt nauis ab aliquo loco ad
                    <lb/>
                  alium, breuiſſimo interuallo ire poſſit
                    <lb/>
                  ideſt per gyrum circuli maioris ſphæræ vno tantummodo
                    <reg norm="vento" type="context">vẽto</reg>
                  eam impellente, præ
                    <lb/>
                  ter quam in ęquatore, ſeu in aliquo quouis meridianorum, nos autem ire per gyrum
                    <lb/>
                  alicuius paralleli dementia eſſet, niſi neceſſitas cogeret.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2694" xml:space="preserve">Huiuſmodi demonſtrationis ope, quantum decipiatur Petrus Medina cap .6. lib.
                    <lb/>
                  3. cognoſcitur, vbi ſic ſcribit; </s>
                  <s xml:id="echoid-s2695" xml:space="preserve">Vbicunque locorum reperiatur homo, aliquem circu-
                    <lb/>
                  lum qui vniuerſum ambiat imaginatione ſibi confingens, per totum eum circulum
                    <lb/>
                  vno
                    <reg norm="eodemque" type="simple">eodemq́;</reg>
                  vento nauigatio ſuſcipitur. </s>
                  <s xml:id="echoid-s2696" xml:space="preserve">Ex hac etiam demonſtratione, quàm fal
                    <lb/>
                  ſa ſit charta maritima patet, cuius beneficio exiſtimant nautę ſe per breuiſſimum iter
                    <lb/>
                  a loco ad locum vehi etiamſi dicti loci non ſint ambo in æquatore, aut in aliquo me
                    <lb/>
                  ridiano, ſed extra dictos circulos vnico tantum vento impellente & ſi in paruis æquo
                    <lb/>
                  fibus hic error parum depræhenditur, forte tamen in magno Oceano clarè pateret.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s2697" xml:space="preserve">In ſuperius igitur dicta demonſtratione iam oſtendi, quod ſi velimus vehi ab vno lo
                    <lb/>
                  co ad alium beneficio alicuius circuli maioris, præter duos iam dictos, hoc fieri non
                    <lb/>
                  poteſt vno
                    <reg norm="eodemque" type="simple">eodemq́;</reg>
                    <reg norm="vento" type="context">vẽto</reg>
                  impellente. </s>
                  <s xml:id="echoid-s2698" xml:space="preserve">Vnde ſequitur, omnia ea interualla quæ vno
                    <lb/>
                    <reg norm="eodemque" type="simple">eodemq́</reg>
                  vento tranſibimus futura longiora, præterquam in duobus dictis circulis
                    <lb/>
                  æquinoctiali & meridiano.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2699" xml:space="preserve">Cum verò Petrus Medina cap .7. volens probare chartam maritimam bonam eſ-
                    <lb/>
                  ſe, planiſphęrium Prolomei & Iordani citat, non animaduertit quam diuerſo mo-
                    <lb/>
                  do a charta maritima huiuſmodi inſtrumentum ſit fabricatum, cum exceptis orizon
                    <lb/>
                  te recto, & meridiano in dicto inſtrumento quilibet alius circulus ſit circulus, ſiue ſit
                    <lb/>
                  almicantarat, ſiue azimur, ſiue æquator, ſiue tropicus, ſiue zodiacus, ſiue alius quiuis
                    <lb/>
                  circulus, eum in charta maritima ne vna quidem ſit linea, quę non ſit recta, quolibet
                    <lb/>
                  nomine vocetur.</s>
                </p>
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