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-div642" type="section" level="3" n="28">
              <div xml:id="echoid-div650" type="letter" level="4" n="3">
                <p>
                  <s xml:id="echoid-s4118" xml:space="preserve">
                    <pb o="339" rhead="EPISTOLAE." n="351" file="0351" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0351"/>
                  niſi in obiecto ipſo, lumen enim abipſo obiecto reflexum, ſeipſum diffundit vndi-
                    <lb/>
                  que, & radijipſius lu
                    <unsure/>
                  minis reflexi, vt plurimum ſeinuicem ſecant. </s>
                  <s xml:id="echoid-s4119" xml:space="preserve">Vnde in ipſo ae-
                    <lb/>
                  re funt omnes miſti. </s>
                  <s xml:id="echoid-s4120" xml:space="preserve">Quapropter natura ſagacifſima pupillam oculi animalibus tam
                    <lb/>
                  paruam conſtruxit ad ſuperficiem tam amplæ ſphæræ ipſius oculi, vt diſtinctæ vide-
                    <lb/>
                  rentur omnia obiecta.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4121" xml:space="preserve">Nolo etiam tibi tacere, quod
                    <reg norm="quotieſcunque" type="simple">quotieſcunq;</reg>
                  oculorum pupillæ poſitæ fuerint inter
                    <lb/>
                  cathetum incidentiæ, & ſuperficiem
                    <lb/>
                    <figure xlink:label="fig-0351-01" xlink:href="fig-0351-01a" number="378">
                      <image file="0351-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0351-01"/>
                    </figure>
                    <figure xlink:label="fig-0351-02" xlink:href="fig-0351-02a" number="379">
                      <image file="0351-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0351-02"/>
                    </figure>
                  ſpeculi ſphærici concaui, vt puta in li-
                    <lb/>
                  neis
                    <var>.d.t.</var>
                  et
                    <var>.t.n.</var>
                  in figura
                    <var>.D</var>
                  . </s>
                  <s xml:id="echoid-s4122" xml:space="preserve">tunc nullo
                    <lb/>
                  pacto poſſemus videre vnam imagi-
                    <lb/>
                  nem obiecti, ſed duas nec non confu-
                    <lb/>
                  sè, </s>
                  <s xml:id="echoid-s4123" xml:space="preserve">propterea
                    <reg norm="quod" type="simple">ꝙ</reg>
                  nullo pacto radij
                    <var>.t.d.</var>
                    <lb/>
                  et
                    <var>.n.t.</var>
                  reflexi poterint. </s>
                  <s xml:id="echoid-s4124" xml:space="preserve">ambo vniri
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  ambobus axibus viſualibus, eo quod
                    <lb/>
                  axes vifuales nunquam poſſunt inui-
                    <lb/>
                  cem interſecari poſt viſum, ſed ſem-
                    <lb/>
                  per ante ipſum, vnde nec inuicem pa-
                    <lb/>
                  ralleli poſſunt eſſe.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4125" xml:space="preserve">Dico etiam, quod ſi obiectum inci
                    <lb/>
                  derit in eadem ſuperficie, in qua duo
                    <lb/>
                  axes viſuales, vel radij reflexi
                    <reg norm="reperiuntur" type="context">reperiũtur</reg>
                  , hoc eſt in vna
                    <reg norm="eademque" type="simple">eademq́;</reg>
                  ſuperficie reflexio-
                    <lb/>
                  nis, </s>
                  <s xml:id="echoid-s4126" xml:space="preserve">tunc locus imaginis non erit in catheto incidentiæ, eo quod interfectio axium
                    <lb/>
                  uifualium non erit in ipſo catheto ſed extra, in qua interſectione fit viſio vnius tan-
                    <lb/>
                  tummodo imaginis, quod antiqui non animaduerterunt. </s>
                  <s xml:id="echoid-s4127" xml:space="preserve">Hoc autem dico deſpe-
                    <lb/>
                  culo ſphærico concauo.</s>
                </p>
              </div>
              <div xml:id="echoid-div655" type="letter" level="4" n="4">
                <head xml:id="echoid-head501" style="it" xml:space="preserve">Speculatio cuiuſdam propoſitionis aritbmetica.</head>
                <head xml:id="echoid-head502" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s4128" xml:space="preserve">SPeculatio vltimæ propoſitionis quam numerorum via inueni, hæc eſt. </s>
                  <s xml:id="echoid-s4129" xml:space="preserve">Imagi-
                    <lb/>
                  nemur triangulum
                    <var>.r.e.o.</var>
                  abſciſum à circulo, in cuius circunferentia ſit punctum
                    <lb/>
                  r. ſuperioris anguli ipſius trianguli, vel etiam non ſit abſciſum dummodo protrahan
                    <lb/>
                  tur lineæ
                    <reg norm="vſque" type="simple">vſq;</reg>
                  ad circunferentiam, à quo ad oppoſitum latus
                    <reg norm="defcendant" type="context">defcẽdant</reg>
                  duæ
                    <var>.r.K.</var>
                  et
                    <var>.r.
                      <lb/>
                    f.</var>
                  ita
                    <reg norm="quod" type="simple">ꝙ</reg>
                  .
                    <var>K.o.</var>
                  æqualis ſit
                    <var>.f.e.</var>
                  vnde hæc .4. lineæ ſecabuntur à circulo dicto in punctis
                    <var>.n.
                      <lb/>
                    c.b.u</var>
                  . </s>
                  <s xml:id="echoid-s4130" xml:space="preserve">Dico nunc
                    <reg norm="quod" type="simple">ꝙ</reg>
                  producta
                    <var>.o.r.n.</var>
                  et
                    <var>.e.r.u.</var>
                  æqualia erunt productis
                    <var>.K.r.c.</var>
                  et
                    <var>.f.r.b.</var>
                    <lb/>
                    <figure xlink:label="fig-0351-03" xlink:href="fig-0351-03a" number="380">
                      <image file="0351-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0351-03"/>
                    </figure>
                    <figure xlink:label="fig-0351-04" xlink:href="fig-0351-04a" number="381">
                      <image file="0351-04" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0351-04"/>
                    </figure>
                  </s>
                </p>
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