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-div756" type="section" level="3" n="43">
              <div xml:id="echoid-div756" type="letter" level="4" n="1">
                <pb o="398" rhead="IO. BAPT. BENED." n="410" file="0410" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0410"/>
                <p>
                  <s xml:id="echoid-s4703" xml:space="preserve">Quo in loco clare videtur ipſum putare eandem proportionem inter diametros,
                    <lb/>
                  quæ inter ſphæras ipſas eſſe, nec amplius recordari eius quod ſcripſerat pag .24.</s>
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                <p>
                  <s xml:id="echoid-s4704" xml:space="preserve">Piccolhom. igitur ibi
                    <reg norm="ſupponens" type="context">ſupponẽs</reg>
                  centrum
                    <var>.D.</var>
                  eſſe magnitudinis aquæ, & intra ſphæ
                    <lb/>
                  ram terreſtrem, putat omnino cauſam eſſe vt terra ſuperet aquam magnitudine, qua-
                    <lb/>
                  ſi quod ſi punctum
                    <var>.D.</var>
                  vt centrum ſphæræ aquæ, vnum
                    <reg norm="idemque" type="simple">idemq́;</reg>
                  eſſet cum puncto
                    <var>.E.</var>
                    <lb/>
                  extremo diametri ipſius terræ, ſphæra
                    <var>.A.G.H.</var>
                  ſphæræ
                    <var>.A.B.E.</var>
                  dupla eſſe deberet,
                    <lb/>
                  quod quidem nullo pacto fieri poteſt, quamuis etiam proportio
                    <var>.A.H.</var>
                  ad
                    <reg norm="diametrum" type="context">diametrũ</reg>
                    <lb/>
                    <var>A.E.</var>
                  ſuperbipartiensſeptimas exiſteret, quæ minor eſſet quam ſeſquitertia, ita quod
                    <lb/>
                  quando etiam
                    <var>.D.E.</var>
                  maior medietate ipſius
                    <var>.D.H.</var>
                  fuiſſet, nihilominus tamen
                    <lb/>
                  terra minor eſſet aqua, eo quod proportio dupla minor eſt, quam tripla ad
                    <reg norm="propor- tionem" type="context">propor-
                      <lb/>
                    tionẽ</reg>
                  ſuperbipartientenſeptimas, & maior
                    <reg norm="quam" type="context">quã</reg>
                  tripla ad proportionem ſeſquiquar-
                    <lb/>
                  tam. </s>
                  <s xml:id="echoid-s4705" xml:space="preserve">Vnde ſi Piccolhom. ſuppòſuiſſet proportionem ipſius
                    <var>.D.H.</var>
                  ad
                    <var>.C.E.</var>
                  eſſe
                    <lb/>
                  ſeſquiquartam, rectè profectò dixiſſet, ſed dicere quod ubicunque exiſtat
                    <reg norm="punctum" type="context">punctũ</reg>
                    <var>.
                      <lb/>
                    D.</var>
                  intra ſphæram terreſtrem, ſequitur ipſam eſſe maiorem aquea, verum non eſt.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4706" xml:space="preserve">Scripſi etiam quod Piccoloho. decipiebatur vbi loquitur de diaphaneitate aquæ
                    <lb/>
                  pag .40. ita dicens.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s4707" xml:space="preserve">Et cum rationabiliter aliquis exiſtimare non poteſt, quod vmbra quæ facit ori-
                    <lb/>
                  ri e cclipſes Lunæ, producta ſit à terra, & ab aqua ſimul, vt ab vno corpore aggre-
                    <lb/>
                  gato exijs duobus elementis, & ad vnam communem ſphæreceitatem reductis, pro
                    <lb/>
                  pterea quod cum vmbra produci debeat à corporibus opacis, quorum opacitas effi-
                    <lb/>
                  cit illa corpora vmbroſa, aqua autem, ſit corpus diaphanum, & tranſparens, nullam
                    <lb/>
                  vmbram poterit à ſe eminus producere.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s4708" xml:space="preserve">Hic enim decipitur Piccolhom. duabus rationibus, quarum prima eſt, quod ra-
                    <lb/>
                  dius luminoſus non poteſt multum in profundum mergi, vt probaui in .8. epiſtola ad
                    <lb/>
                  Vimercatum, altera verò eſt, quod cum ſphærica ſit aqua maris, ſupponatur etiam
                    <lb/>
                  quod ſub ea nulla terræ portio eſſet, & quod radij ſolares ipſam, non ſecus ac pilam
                    <lb/>
                  ex criſtallo fabręfactam penetrarent, cum autem ipſi radij, tam ab una, quam ab alia
                    <lb/>
                  parte ſup erficiei huiuſmodi globi
                    <reg norm="frangantur" type="context">frãgantur</reg>
                  , ob diſſimilem diaphaneitatem inter ae
                    <lb/>
                  rem & aquam, ipſi ſeinuicem interſecarent, vt poſt pilam criſtallinam videre eſt, de-
                    <lb/>
                  inde procedentes, diſgregarentur,
                    <reg norm="diſciparenturque" type="simple">diſciparenturq́;</reg>
                  quouſque nullam vim illuminatio
                    <lb/>
                  nis haberent, quod quilibet experiri poterit mediante aliquo vaſe uitreo ſphærico,
                    <lb/>
                  aqua pleno, cuiuſuis magnitudinis, ſoli expoſito.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4709" xml:space="preserve">Rationes etiam quas eodem loco Piccolho. adducit ad probandum quod ſi quis
                    <lb/>
                  in fundo maris exiſteret, nullum uideret lumen, nihil ualent. </s>
                  <s xml:id="echoid-s4710" xml:space="preserve">Quarum prima eſt,
                    <lb/>
                  ubi ita dicit.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s4711" xml:space="preserve">Ille qui ſe in aquam mergit, cum maiorem lucem, quæ ſupra aquam eſt, relin-
                    <lb/>
                  quat, iudicat pro magno temporis ſpatio locum illum obſcurum, quemadmodum
                    <lb/>
                  accidit quando per multum temporis ſpatium fixis oculis in corpore Solis intuiti ſu
                    <lb/>
                  mus, ab eodem poſtea eoſdem amouentes, omnia obſcura nobis videntur.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s4712" xml:space="preserve">Ipſe autem non conſiderat quod talis obſcuritas quæ ſequitur viſionem maioris
                    <lb/>
                  luminis, parum durat, immo cito euaneſcit, ſed in aqua nunquam reuertimur ad vi-
                    <lb/>
                  dendum, ne que veſtigium aliquod luminis ibi videtur, in fundo maris dico, quem-
                    <lb/>
                  admodum nobis nuntiauerunt hi qui margaritas expiſcantur in imis partibus ingen
                    <lb/>
                  tium æquorum indicorum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4713" xml:space="preserve">Secunda uerò ratio ipſius Piccolhom. eſt ubi ita dicit.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s4714" xml:space="preserve">Altera cauſa quod nobis obſcurus appareat locus ſub aqua, eſſe poteſt obſtacu-
                    <lb/>
                  lum quod aquæ habent ab opacitate terræ ſub eorum fundo, etenim ſicut
                    <reg norm="chriſtallum" type="context">chriſtallũ</reg>
                  </s>
                </quote>
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