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-div489" type="section" level="1" n="370">
          <p>
            <s xml:id="echoid-s19249" xml:space="preserve">
              <pb o="224" file="0246" n="251" rhead="DE ECHO."/>
            maliter acciderit. </s>
            <s xml:id="echoid-s19250" xml:space="preserve">quod multis antea videbatur paradoxum. </s>
            <s xml:id="echoid-s19251" xml:space="preserve">nullos è contrario quibus vox ſatis obliquè, aut
              <lb/>
            citra debitam diſtantiam occurrat, ſonoro ipſi reſonare poſſe. </s>
            <s xml:id="echoid-s19252" xml:space="preserve">quæ omnia etiam pluribus experimentis a me
              <lb/>
            comprobata ſunt. </s>
            <s xml:id="echoid-s19253" xml:space="preserve">Porrò ex ignoratione harum circũſtantiarum, ſitus ſcilicet, & </s>
            <s xml:id="echoid-s19254" xml:space="preserve">diſtantiæ prouenit, vt mul-
              <lb/>
            ti perſæpè mirentur cum paries vnus reſonet, alter vero minimè, etiamſi ſecundum cætera, ſint ſimillimi.</s>
            <s xml:id="echoid-s19255" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div490" type="section" level="1" n="371">
          <head xml:id="echoid-head390" style="it" xml:space="preserve">Qua ratione eximis vallibus Echo reſonare poſſit. Theorema VII.</head>
          <p>
            <s xml:id="echoid-s19256" xml:space="preserve">SEd enim dubitabit forte quiſpiam in hunc modum, ſi vera
              <lb/>
              <figure xlink:label="fig-0246-01" xlink:href="fig-0246-01a" number="132">
                <image file="0246-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0246-01"/>
              </figure>
            ſunt hactenus tradita, curigitur ſi quis ex alta torrentis rupe
              <lb/>
            vociferetur, ei non raro, & </s>
            <s xml:id="echoid-s19257" xml:space="preserve">quidem ab ima valle Echo ſuccine-
              <lb/>
            re, aut ſucclamare ſolet? </s>
            <s xml:id="echoid-s19258" xml:space="preserve">Reſpondemus igitur Echum huiuſ-
              <lb/>
            modi reſonare ex ima atque oppoſita rupe, cui vox ſonori nor-
              <lb/>
            maliter dimittatur. </s>
            <s xml:id="echoid-s19259" xml:space="preserve">vt in hac ſiguratione licet contemplari. </s>
            <s xml:id="echoid-s19260" xml:space="preserve">vox
              <lb/>
            enim à ſonoro A. </s>
            <s xml:id="echoid-s19261" xml:space="preserve">normaliter per lineam A B. </s>
            <s xml:id="echoid-s19262" xml:space="preserve">decurrit in imam,
              <lb/>
            & </s>
            <s xml:id="echoid-s19263" xml:space="preserve">oppoſitam rupem C B D. </s>
            <s xml:id="echoid-s19264" xml:space="preserve">atque inde per eandem viam, iux-
              <lb/>
            ta leges reflexionis reuertitur ad idem A. </s>
            <s xml:id="echoid-s19265" xml:space="preserve">oportet autem partem
              <lb/>
            rupis oppoſitæ reſonantem eſſe planam, aut modicè concauam,
              <lb/>
            & </s>
            <s xml:id="echoid-s19266" xml:space="preserve">præterea ſatis terſam.</s>
            <s xml:id="echoid-s19267" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div492" type="section" level="1" n="372">
          <head xml:id="echoid-head391" style="it" xml:space="preserve">Car in minori diſtantia Echo pauciores ſyllabas, in maiore plures repetat.
            <lb/>
          Theorema VIII.</head>
          <p>
            <s xml:id="echoid-s19268" xml:space="preserve">HIc conſideranda eſt duplex duratio vocis. </s>
            <s xml:id="echoid-s19269" xml:space="preserve">prima eſt duratio vocis primariæ circa ipſum ſonorum, quæ
              <lb/>
            tandiu durat, quandiu profertur. </s>
            <s xml:id="echoid-s19270" xml:space="preserve">pręterea notandum eſt, hanc vocem primariam eſſe multo maiorem,
              <lb/>
            & </s>
            <s xml:id="echoid-s19271" xml:space="preserve">r
              <unsure/>
            ortiorem quam reflexam, quanto enim longius tendit, tanto magis debilitaur. </s>
            <s xml:id="echoid-s19272" xml:space="preserve">ſecunda duratio, eſt du-
              <lb/>
            ratio propagationis vocis per lineam actionis, quę duratio includit primam, non ſolum enim dum vox pri-
              <lb/>
            maria ſonat, vel durat circa ſonorum, eodem tempore longè propagatur, ſed etiam poſtquam ibi ſiluerit ad-
              <lb/>
            huc propagatur: </s>
            <s xml:id="echoid-s19273" xml:space="preserve">& </s>
            <s xml:id="echoid-s19274" xml:space="preserve">in ipſa propagatione aliquando reflectitur, vnde & </s>
            <s xml:id="echoid-s19275" xml:space="preserve">Echo generatur, ſicque propagatio
              <lb/>
            fit partim per directam, partim pet reflexam lineam. </s>
            <s xml:id="echoid-s19276" xml:space="preserve">porrò & </s>
            <s xml:id="echoid-s19277" xml:space="preserve">experientia, & </s>
            <s xml:id="echoid-s19278" xml:space="preserve">ratione palam eſt hanc ſecun-
              <lb/>
            dam durationem eſſe prima diuturniorem, audimus enim aliquando multo poſt primariam vocem, vocem
              <lb/>
            eandem ab Echo reflexam. </s>
            <s xml:id="echoid-s19279" xml:space="preserve">præterea conſiderare oportet, quod hęc ſecunda duratio commenſuratur diſtan-
              <lb/>
            tiæ, ſeu longitudini illi toti per quam vox producitur, & </s>
            <s xml:id="echoid-s19280" xml:space="preserve">reflectitur; </s>
            <s xml:id="echoid-s19281" xml:space="preserve">quare in minori diſtãtia, minor erit hæc
              <lb/>
            duratio, hoc eſt, citius vox reflexa reuertetur ad ſonorum: </s>
            <s xml:id="echoid-s19282" xml:space="preserve">in maiori autem diſtantia, maior erit duratio, hoc
              <lb/>
            eſt, tardius vox reflexa reuertetur ad ſonorum. </s>
            <s xml:id="echoid-s19283" xml:space="preserve">quoniam vero in minori diſtantia minor eſt durario, ſeu tem
              <lb/>
            pus breue intercedit, ideo pauciores ſyllabas reflectere poteſt, quæ poſt primam durationem exaudiantur,
              <lb/>
            hoc eſt, extincta priori voce, vox enim prima quia fortior, & </s>
            <s xml:id="echoid-s19284" xml:space="preserve">maior eſt hac ſecunda reflexa, ideo impedit ne
              <lb/>
            quidquam de ea diſtinctè percipiatur, quandiu ipſa durat. </s>
            <s xml:id="echoid-s19285" xml:space="preserve">vbi ſciendum eſt omne reflectens repetere omnes
              <lb/>
            ſyllabas, quæ in ipſum diriguntur, non tamen omnes exaudiri poſſe à ſonoro, ſed eas tantummodo, quæ poſt
              <lb/>
            primariam vocem ad eum reflectuntur. </s>
            <s xml:id="echoid-s19286" xml:space="preserve">priores autem, quę durante prima voce ad eum reflectuntur, ob ſtre-
              <lb/>
            pitum eius diſtinctè exaudiri ab eo nequeunt, ſed cum ſtrepitu primæ vocis in bombum confunduntur. </s>
            <s xml:id="echoid-s19287" xml:space="preserve">è
              <lb/>
            contrario quando maior eſt diſtantia, maior eſt etiam duratio ſecunda, ideſt, plus temporis intercedit inter
              <lb/>
            primam vocem, & </s>
            <s xml:id="echoid-s19288" xml:space="preserve">ſecundam: </s>
            <s xml:id="echoid-s19289" xml:space="preserve">quare poterunt in maiori hoc tempore plures quoque ſyllabæ diſtinctè refle-
              <lb/>
            cti, & </s>
            <s xml:id="echoid-s19290" xml:space="preserve">exaudiri. </s>
            <s xml:id="echoid-s19291" xml:space="preserve">ex quibus propoſitum patere poteſt.</s>
            <s xml:id="echoid-s19292" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div493" type="section" level="1" n="373">
          <head xml:id="echoid-head392" style="it" xml:space="preserve">Cùm c
            <unsure/>
          cho ſtatim poſt primam vocem, repetit omnes illius ſyllabas, neceſſe eſt durationem propa-
            <lb/>
          gationis eſſe duplam orationis tam primariæ vocis, quam reflexæ. Theor. I X.</head>
          <p>
            <s xml:id="echoid-s19293" xml:space="preserve">DVratio enim propagationis, vti ſupra explicauimus, continet etiam durationem primariæ vocis, quia
              <lb/>
            ſonante illa ſimul ſit propagatio, & </s>
            <s xml:id="echoid-s19294" xml:space="preserve">præterea continet durationem vocis reſlexæ, ſed duratio vocis re-
              <lb/>
            flexæ eſt æqualis durationi vocis primariæ, cùm vna, & </s>
            <s xml:id="echoid-s19295" xml:space="preserve">eadem ſit prima, & </s>
            <s xml:id="echoid-s19296" xml:space="preserve">reflexa. </s>
            <s xml:id="echoid-s19297" xml:space="preserve">tota igitur propagatio
              <lb/>
            conſtat in hoc caſu ex duabus durationibus æqualibus, & </s>
            <s xml:id="echoid-s19298" xml:space="preserve">inuicem continuis, ideſt, ex duratione primarię vo-
              <lb/>
            cis, & </s>
            <s xml:id="echoid-s19299" xml:space="preserve">reflexæ. </s>
            <s xml:id="echoid-s19300" xml:space="preserve">quare tota ſimul erit dupla tam primæ, quam reflexæ vocis. </s>
            <s xml:id="echoid-s19301" xml:space="preserve">vera igitur eſt propoſitio.</s>
            <s xml:id="echoid-s19302" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div494" type="section" level="1" n="374">
          <head xml:id="echoid-head393" style="it" xml:space="preserve">Conſectarium.</head>
          <p>
            <s xml:id="echoid-s19303" xml:space="preserve">EX quibus ſequitur in ea Echo, quæ non ſtatim poſt primam vocem, ſed aliquanto poſt reſonat, duratio-
              <lb/>
            nem propagationis eſſe pluſquam duplam primariæ. </s>
            <s xml:id="echoid-s19304" xml:space="preserve">& </s>
            <s xml:id="echoid-s19305" xml:space="preserve">quidem tanto plus, quantum eſt illud </s>
          </p>
        </div>
      </text>
    </echo>
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