Blancanus, Josephus, Sphaera mvndi, sev cosmographia demonstratiua , ac facile methodo tradita : in qua totius Mundi fabrica, vna cum nouis, Tychonis, Kepleri, Galilaei, aliorumq' ; Astronomorum adinuentis continentur ; Accessere I. Breuis introductio ad geographiam. II. Apparatus ad mathematicarum studium. III. Echometria, idest Geometrica tractatio de Echo. IV. Nouum instrumentum ad Horologia

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    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div503" type="section" level="1" n="381">
          <pb o="227" file="0249" n="254" rhead="DE ECHO."/>
        </div>
        <div xml:id="echoid-div505" type="section" level="1" n="382">
          <head xml:id="echoid-head401" style="it" xml:space="preserve">Corollarium, De deceptionibus ab Echo obliqua.</head>
          <p>
            <s xml:id="echoid-s19464" xml:space="preserve">ACcidit ſæpè nos decipi ab hac obliqua Echo circa ſitum ſonori, cuius cauſa eſt, quod ſepè ob aliquod im-
              <lb/>
            pedimentum, nequimus audire vocem primariam, ſed reflexam tantum audimus. </s>
            <s xml:id="echoid-s19465" xml:space="preserve">quare auditus iudicat
              <lb/>
            ſe audire non per reflexouem, ſed per directionem: </s>
            <s xml:id="echoid-s19466" xml:space="preserve">& </s>
            <s xml:id="echoid-s19467" xml:space="preserve">conſequenter exiſtimat ſonorum ad parte
              <unsure/>
            m illam ſitũ
              <lb/>
            eſſe, ex qua ſonum ipſius percipit. </s>
            <s xml:id="echoid-s19468" xml:space="preserve">ſenſus enim auditus, ſicuti & </s>
            <s xml:id="echoid-s19469" xml:space="preserve">viſus, niſi corrigantur ab intellectu, puta
              <unsure/>
            nt ſe
              <lb/>
            per lineas tantum directas ſem per videre, & </s>
            <s xml:id="echoid-s19470" xml:space="preserve">audire: </s>
            <s xml:id="echoid-s19471" xml:space="preserve">ſic oculus imaginem vltra ſpeculum in linea recta ſe vi-
              <lb/>
            dere iudicat; </s>
            <s xml:id="echoid-s19472" xml:space="preserve">pariter auditus exiſtimat ſonum reflexum propagari a ſonoro ad ſe per vnicam lineam rectam
              <lb/>
            ſic me Parmæ, ſæpiſſimè ſonitus campanarum S. </s>
            <s xml:id="echoid-s19473" xml:space="preserve">Andreæ decipit, cuius cauſa eſt ædifi ciorum vrbis multitu-
              <lb/>
            do, quæ interponuntur inter illas, & </s>
            <s xml:id="echoid-s19474" xml:space="preserve">meum cubiculum, ſicque impediunt ne directum earum ſonum exau-
              <lb/>
            diam. </s>
            <s xml:id="echoid-s19475" xml:space="preserve">vbi è contrario paries quidam, cui directus illarum ſonitus per via quandam accidit, eum mihi in
              <lb/>
            meum cubiculum reflectit, quare exiſtimo campanas prædictas exiſtere ad partes illius parietis, qui mihi ea-
              <lb/>
            rum ſonum reflectit, cum tamen ſint in oppoſita p
              <unsure/>
            arte.</s>
            <s xml:id="echoid-s19476" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div506" type="section" level="1" n="383">
          <head xml:id="echoid-head402" style="it" xml:space="preserve">Cur Echus vox debilior, imbecilliorque ſit quam primaria.</head>
          <p>
            <s xml:id="echoid-s19477" xml:space="preserve">CAuſa eſt eadem, quæ exilioris vocis directæ, & </s>
            <s xml:id="echoid-s19478" xml:space="preserve">nunquam reflexę:</s>
            <s xml:id="echoid-s19479" xml:space="preserve">nam vocis ſonus quò longius propaga-
              <lb/>
            tur, eo magis gracileſcit, & </s>
            <s xml:id="echoid-s19480" xml:space="preserve">languet, donec in extrema diſtantia, qua exaudiri poſſit, vbi videlicet eſt ter-
              <lb/>
            minus lineæ actionis, penitus euaneſcat. </s>
            <s xml:id="echoid-s19481" xml:space="preserve">quie igitur mirum ſi reflexa idem patiatur, quæ eſt eadem cum ea
              <lb/>
            directa, quæ ablato impedimento refl
              <unsure/>
            ectentis, longius rectà tenderet. </s>
            <s xml:id="echoid-s19482" xml:space="preserve">adde quòd ipſa reflexio per ſe, ob re-
              <lb/>
            flectentis, aut medij reſiſtentiam, ſolet ſemper rem reflexam debilitare. </s>
            <s xml:id="echoid-s19483" xml:space="preserve">Hactenus de reflectentibus planis,
              <lb/>
            nunc de concauis, & </s>
            <s xml:id="echoid-s19484" xml:space="preserve">conuexis.</s>
            <s xml:id="echoid-s19485" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div507" type="section" level="1" n="384">
          <head xml:id="echoid-head403" style="it" xml:space="preserve">Si reflectens ſit Sphæricum concauum, Echum perfectiſſimam ad ſuum
            <lb/>
          centrum reſonabit. Theorema XIV.</head>
          <p>
            <s xml:id="echoid-s19486" xml:space="preserve">CAuſa huius eſt, quoniam omnes lineæ à
              <unsure/>
            centro ad circumferentiam ſunt æquales, & </s>
            <s xml:id="echoid-s19487" xml:space="preserve">perpendiculares;
              <lb/>
            </s>
            <s xml:id="echoid-s19488" xml:space="preserve">quare omnes reflectentur in ſeipſas ad centrum, ſiue omnium reflexio fiet ad centrum, vbi ſonorum
              <lb/>
            ſitum eſſe ſupponimus. </s>
            <s xml:id="echoid-s19489" xml:space="preserve">cùm præterea ſint æquales, fiet omnium reflexio eodem tempore ad ſonorum, qua-
              <lb/>
            re Echo admodum elegans, ac reſonabilis euadet. </s>
            <s xml:id="echoid-s19490" xml:space="preserve">vt in adiecto ſchemate, fit reflectens ſphæricum conca-
              <lb/>
            uum C B D. </s>
            <s xml:id="echoid-s19491" xml:space="preserve">in cuius centro A. </s>
            <s xml:id="echoid-s19492" xml:space="preserve">ſit ſonorum. </s>
            <s xml:id="echoid-s19493" xml:space="preserve">lineæ vocales A B. </s>
            <s xml:id="echoid-s19494" xml:space="preserve">A C. </s>
            <s xml:id="echoid-s19495" xml:space="preserve">A D. </s>
            <s xml:id="echoid-s19496" xml:space="preserve">omnes ſunt normales, quare
              <lb/>
            omnes normaliter reffectent ſonum per eaſdem C A. </s>
            <s xml:id="echoid-s19497" xml:space="preserve">B A. </s>
            <s xml:id="echoid-s19498" xml:space="preserve">D A. </s>
            <s xml:id="echoid-s19499" xml:space="preserve">ad ſonorum A. </s>
            <s xml:id="echoid-s19500" xml:space="preserve">ſed etiam eodem tempore,
              <lb/>
            cùm ſint æqualis diſtantiæ, perfectiſſima, igitur Echo reſonabit. </s>
            <s xml:id="echoid-s19501" xml:space="preserve">Quod ſi reflectens C B D. </s>
            <s xml:id="echoid-s19502" xml:space="preserve">ſit cylindricum,
              <lb/>
            non eadem prorſus perfectione, ſed tamen eieganter admodum recantabit. </s>
            <s xml:id="echoid-s19503" xml:space="preserve">Vbi notandum eſt Theatra
              <lb/>
            fuiſſe antiquitus cylindrica, qua re ex modo dictis, minimè mirum ſit, ea fuiſſe, ſicuti veteres ſcriptores tra-
              <lb/>
            dunt, magnopere ac perbellè reſonantia.</s>
            <s xml:id="echoid-s19504" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div508" type="section" level="1" n="385">
          <head xml:id="echoid-head404" style="it" xml:space="preserve">Quanto ſonorum fuer it extra centrum concaui, tantum Echo reddetur imperfectior.
            <lb/>
          Theorema XV.</head>
          <p>
            <s xml:id="echoid-s19505" xml:space="preserve">CAuſa huius ex pręcedenti propoſitione patere poteſt. </s>
            <s xml:id="echoid-s19506" xml:space="preserve">ſi enim ſonorum extra centrum ponatur, non am-
              <lb/>
            plius erunt omnes lineæ ęquales;</s>
            <s xml:id="echoid-s19507" xml:space="preserve">neq; </s>
            <s xml:id="echoid-s19508" xml:space="preserve">omnes normales, ſed vna tantum. </s>
            <s xml:id="echoid-s19509" xml:space="preserve">vti ſi ſonorum ſit in G. </s>
            <s xml:id="echoid-s19510" xml:space="preserve">vna tan-
              <lb/>
              <figure xlink:label="fig-0249-01" xlink:href="fig-0249-01a" number="136">
                <image file="0249-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0249-01"/>
              </figure>
            tum G B. </s>
            <s xml:id="echoid-s19511" xml:space="preserve">norma-
              <lb/>
            lis erit; </s>
            <s xml:id="echoid-s19512" xml:space="preserve">aliæ duæ
              <lb/>
            G C. </s>
            <s xml:id="echoid-s19513" xml:space="preserve">G D. </s>
            <s xml:id="echoid-s19514" xml:space="preserve">obli-
              <lb/>
            què reflectẽti oc-
              <lb/>
            curent. </s>
            <s xml:id="echoid-s19515" xml:space="preserve">quare ſe-
              <lb/>
            cundũ leges refle
              <lb/>
            ctionis, reflecten
              <lb/>
            tur non ad ſono-
              <lb/>
            rum G. </s>
            <s xml:id="echoid-s19516" xml:space="preserve">ſed ad H.
              <lb/>
            </s>
            <s xml:id="echoid-s19517" xml:space="preserve">per reflexas CH. </s>
            <s xml:id="echoid-s19518" xml:space="preserve">
              <lb/>
            D H. </s>
            <s xml:id="echoid-s19519" xml:space="preserve">aliæ porrò
              <lb/>
            innumeræ, quæ
              <lb/>
            incidunt extra
              <lb/>
            C D. </s>
            <s xml:id="echoid-s19520" xml:space="preserve">reflectẽtur
              <lb/>
            ad alia pũcta pro
              <lb/>
            piora ipſi B. </s>
            <s xml:id="echoid-s19521" xml:space="preserve">quã
              <lb/>
            H. </s>
            <s xml:id="echoid-s19522" xml:space="preserve">quæ verò in-
              <lb/>
            cidũt extra C. </s>
            <s xml:id="echoid-s19523" xml:space="preserve">& </s>
            <s xml:id="echoid-s19524" xml:space="preserve">
              <lb/>
            D. </s>
            <s xml:id="echoid-s19525" xml:space="preserve">reflectẽtur ad
              <lb/>
            alia pũcta </s>
          </p>
        </div>
      </text>
    </echo>
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