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-div494" type="section" level="1" n="374">
          <p>
            <s xml:id="echoid-s19305" xml:space="preserve">
              <pb o="225" file="0247" n="252" rhead="DE ECHO"/>
            quod inter primam, & </s>
            <s xml:id="echoid-s19306" xml:space="preserve">reflexam vocem interlabitur. </s>
            <s xml:id="echoid-s19307" xml:space="preserve">è contrario etiam deducitur, in ea Echo, quæ non re-
              <lb/>
            petit primam vocem integram, durationem propagationis eſſe minorem quam duplam primæ durationis;
              <lb/>
            </s>
            <s xml:id="echoid-s19308" xml:space="preserve">quoniam in hoc caſu prior pars vocis reflexæ ſuperuenit voci primæ adhuc perſeueranti, a qua i
              <unsure/>
            mpeditur ne
              <lb/>
            audiri poſſit. </s>
            <s xml:id="echoid-s19309" xml:space="preserve">vt melius mox explicabitur.</s>
            <s xml:id="echoid-s19310" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div495" type="section" level="1" n="375">
          <head xml:id="echoid-head394" style="it" xml:space="preserve">Cur Echo aliquando repetat vliimas tantum ſyllabas. Theorema X.</head>
          <p>
            <s xml:id="echoid-s19311" xml:space="preserve">ID vſu venit, cum plures ſyllabas Echo accinimus recinendas, quàm ipſius ferat diſtantia
              <unsure/>
            ; </s>
            <s xml:id="echoid-s19312" xml:space="preserve">tunc enim prio-
              <lb/>
            res ſyllabæ prolatæ, priores etiam reuertuntur, quæ quoniam diſtantia minor eſt, quam par ſit, ideo per-
              <lb/>
            tingunt ad ſonorum, nondum tono primariæ vocis remiſſo, a quo opprimuntur ne audiri diſtinctè poſſint
              <lb/>
            extincto autem primæ vocis tono ſubſequuntur vltimæ ſyllabæ, quæ proinde, ablato iam primæ vocis im-
              <lb/>
            pedimento, Solæ diſl
              <unsure/>
            incteque exaudiuntur. </s>
            <s xml:id="echoid-s19313" xml:space="preserve">conſidera in prima figura verbum Dominus, quod in primaria
              <lb/>
            voce ſcribitur, ſeu imprimitur in aere præpoſtere, ſeu Hebræorum more: </s>
            <s xml:id="echoid-s19314" xml:space="preserve">in ſecunda, ſeu reflexa ſcribitur
              <lb/>
            recto ordine, ac more noſtro. </s>
            <s xml:id="echoid-s19315" xml:space="preserve">in noſtro igitur caſu prior ſyllaba reflexa Do- confunditur cum vltima pri-
              <lb/>
            mæ vocis nus; </s>
            <s xml:id="echoid-s19316" xml:space="preserve">quare duæ ſyllabæ minus, poſteriores, ex reflexis, ſolæ ſine concurſus illio
              <unsure/>
            s ſyllabæ prima-
              <lb/>
            riæ vocis exaudiri poſſunt.</s>
            <s xml:id="echoid-s19317" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div496" type="section" level="1" n="376">
          <head xml:id="echoid-head395" style="it" xml:space="preserve">Sit ſonorum ſimul cum alio Audiente in maxima distantia à reflectente, abeantque in contrarias
            <lb/>
          partes æqualibus interuallis, ſonorum, quidem recta à pariete, audiens autem
            <lb/>
          ad parietem, ſonorum nuſquam amplius Echum, audiens, verò
            <lb/>
          vbique exaudiet. Theorema XI.</head>
          <p>
            <s xml:id="echoid-s19318" xml:space="preserve">CAuſam huiuslibet primò explicare hac ſimilitudine. </s>
            <s xml:id="echoid-s19319" xml:space="preserve">imaginemur lineam vocalem eſſe inſtat funiculi,
              <lb/>
            qui in dato caſu incipiat ab ore ſonori, tendatq; </s>
            <s xml:id="echoid-s19320" xml:space="preserve">normaliter in parietem, vbi per trochleam ibi affixam
              <lb/>
            reuolutus, reuertatur iterum ad locum ſonori, vbi audientis auribus religatus deſinat: </s>
            <s xml:id="echoid-s19321" xml:space="preserve">in hac enim maxima
              <lb/>
            diſtantia linea directa æqualis eſt reflexæ per 6. </s>
            <s xml:id="echoid-s19322" xml:space="preserve">Theorema. </s>
            <s xml:id="echoid-s19323" xml:space="preserve">iam manifeſtum eſt, ſi ſonorum abiens recta a pa-
              <lb/>
              <figure xlink:label="fig-0247-01" xlink:href="fig-0247-01a" number="133">
                <image file="0247-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0247-01"/>
              </figure>
            riete ſecum traxerit ore funiculum, tracta-
              <lb/>
            turum quoq; </s>
            <s xml:id="echoid-s19324" xml:space="preserve">ipſo funiculo audientem ver-
              <lb/>
            ſus parietem; </s>
            <s xml:id="echoid-s19325" xml:space="preserve">tantumque futurum ſonori
              <lb/>
            receſſum, quantus audientis acceſſus. </s>
            <s xml:id="echoid-s19326" xml:space="preserve">cùm
              <lb/>
            igitur hac ratione ſonorum ſemper rece-
              <lb/>
            dat a fine lineæ actiuitatis, audiens verò ſit
              <lb/>
            ſemper in extremo eiuſdem lineæ, neceſ-
              <lb/>
            ſario ſequitur ſonorum nuſquam amplius
              <lb/>
            Echum, audientem vero vbiq; </s>
            <s xml:id="echoid-s19327" xml:space="preserve">audire poſ-
              <lb/>
            ſe. </s>
            <s xml:id="echoid-s19328" xml:space="preserve">Idem Geometricè ſic; </s>
            <s xml:id="echoid-s19329" xml:space="preserve">ſint vt in ſigura
              <lb/>
            ſonorum A. </s>
            <s xml:id="echoid-s19330" xml:space="preserve">& </s>
            <s xml:id="echoid-s19331" xml:space="preserve">audiens C. </s>
            <s xml:id="echoid-s19332" xml:space="preserve">ſimul, in maxi-
              <lb/>
            ma diſtantia a pariete B. </s>
            <s xml:id="echoid-s19333" xml:space="preserve">linea actiuitatis
              <lb/>
            ſit A B C. </s>
            <s xml:id="echoid-s19334" xml:space="preserve">recedat ſonorum quouis ſpatio
              <lb/>
            A D. </s>
            <s xml:id="echoid-s19335" xml:space="preserve">audiens vero accedat pari interuallo
              <lb/>
            C E. </s>
            <s xml:id="echoid-s19336" xml:space="preserve">dico ſonorum non amplius Echum
              <lb/>
            audientem vero auditurum. </s>
            <s xml:id="echoid-s19337" xml:space="preserve">ſumatur F B. </s>
            <s xml:id="echoid-s19338" xml:space="preserve">æqualis ipſi A D. </s>
            <s xml:id="echoid-s19339" xml:space="preserve">vel C E. </s>
            <s xml:id="echoid-s19340" xml:space="preserve">quia igitur D F. </s>
            <s xml:id="echoid-s19341" xml:space="preserve">& </s>
            <s xml:id="echoid-s19342" xml:space="preserve">A B. </s>
            <s xml:id="echoid-s19343" xml:space="preserve">ſunt æquales,
              <lb/>
            necnon F B E. </s>
            <s xml:id="echoid-s19344" xml:space="preserve">B E C. </s>
            <s xml:id="echoid-s19345" xml:space="preserve">erunt per 2. </s>
            <s xml:id="echoid-s19346" xml:space="preserve">pronunt. </s>
            <s xml:id="echoid-s19347" xml:space="preserve">1. </s>
            <s xml:id="echoid-s19348" xml:space="preserve">Euclid. </s>
            <s xml:id="echoid-s19349" xml:space="preserve">totæ D F B E. </s>
            <s xml:id="echoid-s19350" xml:space="preserve">A B C. </s>
            <s xml:id="echoid-s19351" xml:space="preserve">æquales; </s>
            <s xml:id="echoid-s19352" xml:space="preserve">quapropter ſonorum
              <lb/>
            in D. </s>
            <s xml:id="echoid-s19353" xml:space="preserve">abeſt ab E. </s>
            <s xml:id="echoid-s19354" xml:space="preserve">extremo lineæ reflexæ vbi deſinit Echo, Echum igitur non audiet. </s>
            <s xml:id="echoid-s19355" xml:space="preserve">Audiens autem ſem-
              <lb/>
            per erit in E. </s>
            <s xml:id="echoid-s19356" xml:space="preserve">quo Echo pertinet, eam igitur audiet.</s>
            <s xml:id="echoid-s19357" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div498" type="section" level="1" n="377">
          <head xml:id="echoid-head396" style="it" xml:space="preserve">Corollarium. De deceptionibus ab Echo reciprocæ.</head>
          <p>
            <s xml:id="echoid-s19358" xml:space="preserve">VT hæc noſtra Echometria aſſimilis ſit opticæ, non deſunt ei ſuæ deceptiones, & </s>
            <s xml:id="echoid-s19359" xml:space="preserve">fallaciæ. </s>
            <s xml:id="echoid-s19360" xml:space="preserve">& </s>
            <s xml:id="echoid-s19361" xml:space="preserve">primò qui-
              <lb/>
            dem in hac prima Echo reciproca. </s>
            <s xml:id="echoid-s19362" xml:space="preserve">accidit aliquando, vt quis nihil de Echo cogitans, noctu præſertim
              <lb/>
            altius loquatur, aut vocitet, eique Echo, & </s>
            <s xml:id="echoid-s19363" xml:space="preserve">quidem ad rem, ſeu ad mentem illius abundè reſpõdeat, vnde ipſe
              <lb/>
            deceptus putat aliquem alium inde ſibi reſpondere. </s>
            <s xml:id="echoid-s19364" xml:space="preserve">Cardanus lib. </s>
            <s xml:id="echoid-s19365" xml:space="preserve">18. </s>
            <s xml:id="echoid-s19366" xml:space="preserve">de ſubt. </s>
            <s xml:id="echoid-s19367" xml:space="preserve">mira narrat cuiuſdã deceptio-
              <lb/>
            nem. </s>
            <s xml:id="echoid-s19368" xml:space="preserve">quidam ait, amicus noſter, cum iter ageret iuxta flumen, nec vadum ſciret, exclamare cæpit, on
              <unsure/>
            ? </s>
            <s xml:id="echoid-s19369" xml:space="preserve">cui la-
              <lb/>
            tens Echo reſpondit, oh? </s>
            <s xml:id="echoid-s19370" xml:space="preserve">ille exiſtimans hominem eſſe, interrogat Italicè, vnde debo paſſa? </s>
            <s xml:id="echoid-s19371" xml:space="preserve">paſſa? </s>
            <s xml:id="echoid-s19372" xml:space="preserve">reſpon-
              <lb/>
            detur. </s>
            <s xml:id="echoid-s19373" xml:space="preserve">tum ille, qui? </s>
            <s xml:id="echoid-s19374" xml:space="preserve">qui? </s>
            <s xml:id="echoid-s19375" xml:space="preserve">replicatur. </s>
            <s xml:id="echoid-s19376" xml:space="preserve">at ibi prpfundo gurgite aquæ admodum perſtrepebant, vnde illi terri-
              <lb/>
            tus iterum interrogat, debo paſſa qui? </s>
            <s xml:id="echoid-s19377" xml:space="preserve">Echo reſpondet, paſſa qui. </s>
            <s xml:id="echoid-s19378" xml:space="preserve">cui ſæpius idem interroganti, idem reſpon
              <lb/>
            debat. </s>
            <s xml:id="echoid-s19379" xml:space="preserve">quare cum amicus inter metum, & </s>
            <s xml:id="echoid-s19380" xml:space="preserve">neceſſitatem vadandi eſſet, noxq; </s>
            <s xml:id="echoid-s19381" xml:space="preserve">obſcura atq; </s>
            <s xml:id="echoid-s19382" xml:space="preserve">intempeſta vrge-
              <lb/>
            ret, exiſtimauit Dæmonem aliquem ſibi perſuadere velle, vt ſe in torrentem illum præcipitaret; </s>
            <s xml:id="echoid-s19383" xml:space="preserve">quare inde
              <lb/>
            reuerſu
              <unsure/>
            s Cardano rem tota
              <unsure/>
            m narrauit, qui poſtea Echus, non Dæmonis fallaciam eſſe depræhendit.</s>
            <s xml:id="echoid-s19384" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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