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-div484" type="section" level="1" n="366">
          <pb o="223" file="0245" n="250" rhead="DE ECHO."/>
        </div>
        <div xml:id="echoid-div485" type="section" level="1" n="367">
          <head xml:id="echoid-head386" style="it" xml:space="preserve">De interuallo ſeu diſtantia inter ſonorum, & reflectens.</head>
          <p>
            <s xml:id="echoid-s19165" xml:space="preserve">PRæter prædictas conditiones reflectentis, ac pręter ſitum eius ad ſonorum, neceſſe eſt, vt interuallum in-
              <lb/>
            ter vtrumque ſit omnino liberum, ac patens; </s>
            <s xml:id="echoid-s19166" xml:space="preserve">experientia enim docet multo melius ſonum, & </s>
            <s xml:id="echoid-s19167" xml:space="preserve">vocem re-
              <lb/>
            currere, cum nullæ intercedunt arbores, nullæ ſegetes, herbæ nullæ. </s>
            <s xml:id="echoid-s19168" xml:space="preserve">optimè autem vbi interijcitur aqua ſta-
              <lb/>
            gnans, aut ſine murmure fluens. </s>
            <s xml:id="echoid-s19169" xml:space="preserve">quorum ratio eſt, quoniam vox defertur nõ ſine agitatione aeris, aer autem
              <lb/>
            celerius moueri poteſt per medium omnino liberum ac patens, quod nimirum neutiquam reſiſtit. </s>
            <s xml:id="echoid-s19170" xml:space="preserve">vbi aduer-
              <lb/>
            tendum eſt, quod quamuis in prolatione vocis, nihil interponatur in linea normali inter ſonorum, & </s>
            <s xml:id="echoid-s19171" xml:space="preserve">refle-
              <lb/>
            ctens, aer tamen qui iuxta eam commouetur, cõnexus eſt cum aere proximo, quem ſecum ſimul commouet,
              <lb/>
            quare ſi proximus hæſerit herbis, ſegetibus, arboribus, difficilius ab eo commouebitur, ac proinde eum ali-
              <lb/>
            quantulum retardabit, vnde nec ſonitus poterit celerrimè parieti accurrere, & </s>
            <s xml:id="echoid-s19172" xml:space="preserve">recurrere. </s>
            <s xml:id="echoid-s19173" xml:space="preserve">hac de cauſa ſecus
              <lb/>
            flumina, non obſtrepentia, & </s>
            <s xml:id="echoid-s19174" xml:space="preserve">lacus, perfectè audiuntur voces, & </s>
            <s xml:id="echoid-s19175" xml:space="preserve">ſoni vel ad maximam diſtantiam. </s>
            <s xml:id="echoid-s19176" xml:space="preserve">addenda
              <lb/>
            eſt etiam alia cauſa, ideſt, angulus factus à ſuperficie aquæ, aut ripæ; </s>
            <s xml:id="echoid-s19177" xml:space="preserve">vt in Theor. </s>
            <s xml:id="echoid-s19178" xml:space="preserve">17. </s>
            <s xml:id="echoid-s19179" xml:space="preserve">apparebit. </s>
            <s xml:id="echoid-s19180" xml:space="preserve">è cõtrario vox
              <lb/>
            quæ in concluſis locis (cuiuſmodi ſunt longiſſimi Xyſti, vndiq; </s>
            <s xml:id="echoid-s19181" xml:space="preserve">muris, ac lacunaribus concluſi) profertur,
              <lb/>
            nequit diſtinctè reflecti in Echum, ſed in Bombum confunditur, vox enim inibi concluſa, per varios, & </s>
            <s xml:id="echoid-s19182" xml:space="preserve">inæ-
              <lb/>
            quales parietum, pauimenti, lacunariſq; </s>
            <s xml:id="echoid-s19183" xml:space="preserve">offenſiones ac repulſas agitatur, atq; </s>
            <s xml:id="echoid-s19184" xml:space="preserve">confunditur. </s>
            <s xml:id="echoid-s19185" xml:space="preserve">pręterea ſæpè re-
              <lb/>
            ſonantia fit ſimul ab vtroque extremo pariete Xyſti, quare duæ reſonantiæ ſunt ſibi inuicem impedimento,
              <lb/>
            eadem ratione, ob quam dixi in puteis quibus ſupra concameratio, aut lacunar ſit, non fieri Echum. </s>
            <s xml:id="echoid-s19186" xml:space="preserve">proinde
              <lb/>
            ſi Xyſtus ſit ex vna parte omnino apertus, ideſt, abſque pariete, erit tanquam puteus proſtratus, & </s>
            <s xml:id="echoid-s19187" xml:space="preserve">conſe-
              <lb/>
            quenter Echum reſpondebit. </s>
            <s xml:id="echoid-s19188" xml:space="preserve">Quantum autem, oporteat eſſe interuallum, ſeu diſtantia inter ſonorum, & </s>
            <s xml:id="echoid-s19189" xml:space="preserve">
              <lb/>
            reflectens, mox dicemus.</s>
            <s xml:id="echoid-s19190" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div486" type="section" level="1" n="368">
          <head xml:id="echoid-head387" style="it" xml:space="preserve">Minima distantia inter ſonorum, & reflectens est paſſuum Geometricerum
            <lb/>
          ferè 24. Theorema V.</head>
          <p>
            <s xml:id="echoid-s19191" xml:space="preserve">MInima diſtantia ea cenſenda eſt, ex qua vna tantum ſyllaba reflexa, vel vnus tantum ictus reflexus ſta-
              <lb/>
            tim poſt primariam, vel primarium diſtinctè auditur a ſonoro. </s>
            <s xml:id="echoid-s19192" xml:space="preserve">quam eſſe paſſuum Geometricorũ cir-
              <lb/>
            citer 24. </s>
            <s xml:id="echoid-s19193" xml:space="preserve">pluribus experimentis depræhenſum eſt. </s>
            <s xml:id="echoid-s19194" xml:space="preserve">in hac igitur diſtantia Echo monoſyllaba eſſicitur.</s>
            <s xml:id="echoid-s19195" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div487" type="section" level="1" n="369">
          <head xml:id="echoid-head388" style="it" xml:space="preserve">Maxima diſtantia inter ſonorum, & reflectens est æqualis dimidiæ
            <lb/>
          lineæ actionis. Theorema VI.</head>
          <p>
            <s xml:id="echoid-s19196" xml:space="preserve">CVm ſoni vociſq; </s>
            <s xml:id="echoid-s19197" xml:space="preserve">propagatio fiat per aeris agitationem, ac proinde per interuallum aliquod, necnon in
              <lb/>
            tempore aliquo, propterea requiritur tanta diſtantia, quę tanto tẽpore a voce percurratur, vt ſonus pri-
              <lb/>
            marius, cùm re@lexus ad fonorum reuertitur, ita ſiluerit, vt eum reuertentem non ita ſuperet, quin audiri ab
              <lb/>
            eodem ſonoro diſtinctè poſſit:</s>
            <s xml:id="echoid-s19198" xml:space="preserve">neq; </s>
            <s xml:id="echoid-s19199" xml:space="preserve">adeo magna, vt reflexus ſonus nequeat ad ſonorum peruenire: </s>
            <s xml:id="echoid-s19200" xml:space="preserve">ſit igitur
              <lb/>
              <figure xlink:label="fig-0245-01" xlink:href="fig-0245-01a" number="131">
                <image file="0245-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0245-01"/>
              </figure>
            in figura, linea actiuitatis A B. </s>
            <s xml:id="echoid-s19201" xml:space="preserve">ideſt, vox ſonori A. </s>
            <s xml:id="echoid-s19202" xml:space="preserve">audiatur
              <lb/>
            vltimo in B. </s>
            <s xml:id="echoid-s19203" xml:space="preserve">diuidatur bifariam in C. </s>
            <s xml:id="echoid-s19204" xml:space="preserve">dico A C. </s>
            <s xml:id="echoid-s19205" xml:space="preserve">eſſe maximam
              <lb/>
            diſtantiam, ſecundum quam ex pariete in C. </s>
            <s xml:id="echoid-s19206" xml:space="preserve">erecto Echo re-
              <lb/>
            flecti poſſit ad A. </s>
            <s xml:id="echoid-s19207" xml:space="preserve">nam pariter hic, atq; </s>
            <s xml:id="echoid-s19208" xml:space="preserve">in luminis reflexione
              <lb/>
            diſcurrendum eſt. </s>
            <s xml:id="echoid-s19209" xml:space="preserve">atqui ex doctrina Catoptricorum, tanta eſ-
              <lb/>
            ſe poteſt linea radioſa reflexa, quanta eadem eſſet ſi non refſe-
              <lb/>
            cteretur, ſed recta tenderet. </s>
            <s xml:id="echoid-s19210" xml:space="preserve">vel linea directa, & </s>
            <s xml:id="echoid-s19211" xml:space="preserve">reflexa ſimul ſemper ſunt æquales lineæ actiuitatis, v.</s>
            <s xml:id="echoid-s19212" xml:space="preserve">g. </s>
            <s xml:id="echoid-s19213" xml:space="preserve">re-
              <lb/>
            flectens in C. </s>
            <s xml:id="echoid-s19214" xml:space="preserve">poterit reflectere reliquum radium C B. </s>
            <s xml:id="echoid-s19215" xml:space="preserve">& </s>
            <s xml:id="echoid-s19216" xml:space="preserve">non amplius. </s>
            <s xml:id="echoid-s19217" xml:space="preserve">cum igitur C B. </s>
            <s xml:id="echoid-s19218" xml:space="preserve">æqualis ſit ipſi C A.
              <lb/>
            </s>
            <s xml:id="echoid-s19219" xml:space="preserve">lumen vſq; </s>
            <s xml:id="echoid-s19220" xml:space="preserve">ad A. </s>
            <s xml:id="echoid-s19221" xml:space="preserve">exactè, & </s>
            <s xml:id="echoid-s19222" xml:space="preserve">nihil vlterius reffectetur. </s>
            <s xml:id="echoid-s19223" xml:space="preserve">quoniam vero eodem modo de linearum vocalium re-
              <lb/>
            flexione, vt ſupra oſtendimus, aſſerendum eſt, ſequitur reflectẽs in C. </s>
            <s xml:id="echoid-s19224" xml:space="preserve">poſſe reflectere reliquam lineam ſono-
              <lb/>
            ram C B. </s>
            <s xml:id="echoid-s19225" xml:space="preserve">normaliter vſque ad ſonorum A. </s>
            <s xml:id="echoid-s19226" xml:space="preserve">& </s>
            <s xml:id="echoid-s19227" xml:space="preserve">non amplius. </s>
            <s xml:id="echoid-s19228" xml:space="preserve">quod ſi reffectens ſit inter C. </s>
            <s xml:id="echoid-s19229" xml:space="preserve">& </s>
            <s xml:id="echoid-s19230" xml:space="preserve">B. </s>
            <s xml:id="echoid-s19231" xml:space="preserve">vt in D. </s>
            <s xml:id="echoid-s19232" xml:space="preserve">nullo
              <lb/>
            pacto reflectere valebit vſq; </s>
            <s xml:id="echoid-s19233" xml:space="preserve">ad A. </s>
            <s xml:id="echoid-s19234" xml:space="preserve">cum reliqua D B. </s>
            <s xml:id="echoid-s19235" xml:space="preserve">quæ reflectenda eſt, minor ſit quam A D. </s>
            <s xml:id="echoid-s19236" xml:space="preserve">ex quibus pa-
              <lb/>
            @et omnes Echus reflexiones exiſtere inter A. </s>
            <s xml:id="echoid-s19237" xml:space="preserve">& </s>
            <s xml:id="echoid-s19238" xml:space="preserve">C. </s>
            <s xml:id="echoid-s19239" xml:space="preserve">quarum remotiſſima erit in C. </s>
            <s xml:id="echoid-s19240" xml:space="preserve">ac proinde maximam re-
              <lb/>
            ſſectentis a ſonoro diſtantiam æqualem eſſe ſemiſſi lineæ actiuitatis, quod erat probandum. </s>
            <s xml:id="echoid-s19241" xml:space="preserve">vbi nõ omitten-
              <lb/>
            dum huiuſmodi Echum fore debiliſſimæ, & </s>
            <s xml:id="echoid-s19242" xml:space="preserve">quaſi moriturientis vocis, qualis ſcilicet exaudiretur in B. </s>
            <s xml:id="echoid-s19243" xml:space="preserve">ex-
              <lb/>
            tremo lineæ actiuitatis. </s>
            <s xml:id="echoid-s19244" xml:space="preserve">vltimo notandum: </s>
            <s xml:id="echoid-s19245" xml:space="preserve">ſi verum eſt reflexionem debilitare aliquantulum vocem, non
              <lb/>
            crit vox reflexa omnino, ſed ferè æqualis voci primariæ.</s>
            <s xml:id="echoid-s19246" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div489" type="section" level="1" n="370">
          <head xml:id="echoid-head389" style="it" xml:space="preserve">Conſectarium.</head>
          <p>
            <s xml:id="echoid-s19247" xml:space="preserve">EX præmiſſis de ſitu, & </s>
            <s xml:id="echoid-s19248" xml:space="preserve">diſtantia inter ſonorum, & </s>
            <s xml:id="echoid-s19249" xml:space="preserve">reflectens, conſequens eſt, omnes parietes ſolo, ſeu ho-
              <lb/>
            rizonti @@ectos Echo reſonare poſſe, ſi ablatis impedimetis in eos linea vocalis debitæ longitudinis </s>
          </p>
        </div>
      </text>
    </echo>
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