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-div524" type="section" level="1" n="398">
          <p>
            <s xml:id="echoid-s19882" xml:space="preserve">
              <pb o="232" file="0254" n="259" rhead="DE ECHO."/>
            tus, vt reflexio ad alterum latus, non autem omnino contra medium ſpeculum fiat: </s>
            <s xml:id="echoid-s19883" xml:space="preserve">hac enim ratione caput
              <lb/>
            auſcultantis minus aduentanti voci erit impedimẽto. </s>
            <s xml:id="echoid-s19884" xml:space="preserve">tertio locus loquentis vel ſonori, ſit vel vbi fuerat can-
              <lb/>
            dela, vel ſaltem in eadem rectitudine ad ſpeculum; </s>
            <s xml:id="echoid-s19885" xml:space="preserve">atque in ea diſtantia, vt vox ipſius ſubmiſſa ſpeculo inci-
              <lb/>
            dens, ac reflexa, audiri poſſitab auſcultante. </s>
            <s xml:id="echoid-s19886" xml:space="preserve">quibus adhibitis vox tantum reflexa percipitur. </s>
            <s xml:id="echoid-s19887" xml:space="preserve">cuius ratio eſt,
              <lb/>
            quia ſicut hoc ſpeculum vi figuræ ac terſitiei, in illud punctum lumen ſic congregat, vt ibi adeò intendatur
              <lb/>
            vt comburat; </s>
            <s xml:id="echoid-s19888" xml:space="preserve">vocem pariter ad illud idem punctum reuerberat, & </s>
            <s xml:id="echoid-s19889" xml:space="preserve">vnit, vt ex hac vnione vox paulò quam
              <lb/>
            primaria ſonantior euadat, ac propterea ab auſcultãte ſecretò audiri poſſit. </s>
            <s xml:id="echoid-s19890" xml:space="preserve">vocales enim lineæ caſdem cum
              <lb/>
            luminoſis reflexionis patiuntur. </s>
            <s xml:id="echoid-s19891" xml:space="preserve">liuius experientiæ fidelem teſtem habeo D. </s>
            <s xml:id="echoid-s19892" xml:space="preserve">Cæſarem Carauagium, virum
              <lb/>
            non minus ingenio, quam manu induſtrium.</s>
            <s xml:id="echoid-s19893" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19894" xml:space="preserve">In ſpeculo verò parabolico, eodem artificio inueniemus. </s>
            <s xml:id="echoid-s19895" xml:space="preserve">punctum auſcultationis, necnon diſtantiam in
              <lb/>
            illud obloquentis dixi, punctum auſcultat. </s>
            <s xml:id="echoid-s19896" xml:space="preserve">quoniam ex cauo parabolico omnes lineæ paralellæ incidentes
              <lb/>
            reflectuntur ad vnicum punctum, non autem ad lineam, vt in Sphærico; </s>
            <s xml:id="echoid-s19897" xml:space="preserve">ex Orontio, & </s>
            <s xml:id="echoid-s19898" xml:space="preserve">Vitell. </s>
            <s xml:id="echoid-s19899" xml:space="preserve">de Speculo
              <lb/>
            vſtorio, & </s>
            <s xml:id="echoid-s19900" xml:space="preserve">alijs, quapropter hinc paulo perfectior, cæteris paribus, reddetur Echo, quam illinc. </s>
            <s xml:id="echoid-s19901" xml:space="preserve">dummodo
              <lb/>
            ſonorum ab eo ita diſtet, vt lineæ incidentes aſlumi poſſint ad ſenſum pro paralellis.</s>
            <s xml:id="echoid-s19902" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19903" xml:space="preserve">In ſpeculo tandem elliptico perfectiſſima Echo reddetur. </s>
            <s xml:id="echoid-s19904" xml:space="preserve">(verum hic ſuppono doctrinam peracuti opu-
              <lb/>
            ſculi de ſpeculo vſtorio, editi à D. </s>
            <s xml:id="echoid-s19905" xml:space="preserve">Franc. </s>
            <s xml:id="echoid-s19906" xml:space="preserve">Gheuara, vbi P. </s>
            <s xml:id="echoid-s19907" xml:space="preserve">Chriſtophorus Gruembergerius noſtræ Societ. </s>
            <s xml:id="echoid-s19908" xml:space="preserve">ex
              <lb/>
            data diſtantia puncti combuſtionis, & </s>
            <s xml:id="echoid-s19909" xml:space="preserve">luminis, nunc vero ſonori, & </s>
            <s xml:id="echoid-s19910" xml:space="preserve">audientis docet elliptici ſpeculi conſtru-
              <lb/>
            ctionem) cæterum m@iori hic opus eſt induſtria, cum neceſſe ſit ſonorum, & </s>
            <s xml:id="echoid-s19911" xml:space="preserve">audientem eſſe in duobus de-
              <lb/>
            terminatis axis ſpeculis punctis, quæ Apollonius Pergæus lib. </s>
            <s xml:id="echoid-s19912" xml:space="preserve">3. </s>
            <s xml:id="echoid-s19913" xml:space="preserve">pr. </s>
            <s xml:id="echoid-s19914" xml:space="preserve">48. </s>
            <s xml:id="echoid-s19915" xml:space="preserve">appellat puncta ex comparatione fa-
              <lb/>
            cta: </s>
            <s xml:id="echoid-s19916" xml:space="preserve">poſito enim ſonoro in remotiori, omnes lineæ reuerberantur ad alterum ſpeculo propinquum, non ſe-
              <lb/>
            eus ac in parabolico, vt ex allegata Apoll. </s>
            <s xml:id="echoid-s19917" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s19918" xml:space="preserve">conſtat. </s>
            <s xml:id="echoid-s19919" xml:space="preserve">vtrumq; </s>
            <s xml:id="echoid-s19920" xml:space="preserve">igitur punctum ope candellæ, vt prius, in-
              <lb/>
            ueniemus, nam lumen propè ſpeculum in quopiam plano exceptum, ac maximè intẽtum indicabit alterum
              <lb/>
            videlicet auſcultantis. </s>
            <s xml:id="echoid-s19921" xml:space="preserve">locus vero candellæ erit alter obloquentis. </s>
            <s xml:id="echoid-s19922" xml:space="preserve">Erit autem hæc omnium perfectiſſima
              <lb/>
            Echo, cum propter concurſum ad vnicum punctum, tum propter æqualitatem linearum, qua fit vt om-
              <lb/>
            nes lineæ fimul ad vnum, & </s>
            <s xml:id="echoid-s19923" xml:space="preserve">idem auſcultationis punctum concurrant: </s>
            <s xml:id="echoid-s19924" xml:space="preserve">nam ex Apoll. </s>
            <s xml:id="echoid-s19925" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s19926" xml:space="preserve">3. </s>
            <s xml:id="echoid-s19927" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s19928" xml:space="preserve">52. </s>
            <s xml:id="echoid-s19929" xml:space="preserve">om-
              <lb/>
            nes lineæ rectæ ex punctis à comparatione factis ad ſuperficiem ellipticam inclinatæ ipſi axi ſunt æquales.
              <lb/>
            </s>
            <s xml:id="echoid-s19930" xml:space="preserve">Speculum igitur ellipticum cæteris antecellet.</s>
            <s xml:id="echoid-s19931" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div525" type="section" level="1" n="399">
          <head xml:id="echoid-head418" style="it" xml:space="preserve">
            <emph style="sc">Corollarivm</emph>
          .</head>
          <p>
            <s xml:id="echoid-s19932" xml:space="preserve">EX quibus etiam manifeſtum eſt, qua ratione horum ſpeculorum beneficio, ſecreto ac ſubmiſſe ad ami-
              <lb/>
            cum ſatis diſtantem loqui valeamus.</s>
            <s xml:id="echoid-s19933" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19934" xml:space="preserve">Atque hæc ſunt quæ ſuperiori æſtate, rura relaxationis cauſa incolentes, non ex aliorum libris, ſed ab ex-
              <lb/>
            perimentis, vobis de hoc vocis miraculo, vt ait Plato, geometricauimus.</s>
            <s xml:id="echoid-s19935" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div526" type="section" level="1" n="400">
          <head xml:id="echoid-head419" style="it" xml:space="preserve">Aliorum Sententiæ.</head>
          <p>
            <s xml:id="echoid-s19936" xml:space="preserve">CÆterùm quod alij dixerint Echum reſonare ex locis tantum concauis, cauernoſis, & </s>
            <s xml:id="echoid-s19937" xml:space="preserve">anfractuoſis, ex
              <lb/>
            ſpeluncis, & </s>
            <s xml:id="echoid-s19938" xml:space="preserve">antris, ex muris ſaltem feneſtratis: </s>
            <s xml:id="echoid-s19939" xml:space="preserve">item in nimia diſtantia vltimas tantum ſyllabas conſer-
              <lb/>
            uari, eaſque tantum audiri, quod aeris motus debilitatus minus perfectè poteſt ſequentem aerem formare,
              <lb/>
            ac mouere. </s>
            <s xml:id="echoid-s19940" xml:space="preserve">vel quod alij dicant vltima tantum exaudiri, quia licet fiat reflexio totius vocis, priores tamen
              <lb/>
            vocis partes ab vltimis à tergo vrgentibus turbentur. </s>
            <s xml:id="echoid-s19941" xml:space="preserve">tandem quod cum Ariſt. </s>
            <s xml:id="echoid-s19942" xml:space="preserve">ait vocem reflecti ſicuti pilam,
              <lb/>
            intelligendum eſſe ſicuti circulum. </s>
            <s xml:id="echoid-s19943" xml:space="preserve">iſthæc inquam omnia, qua ratione veritati congruant, iudicio eorum,
              <lb/>
            qui à nobis ſuperius demonſtrata perceperint committimus. </s>
            <s xml:id="echoid-s19944" xml:space="preserve">nos enim minime amamus contentioſas diſſer-
              <lb/>
            tationes, ſed humanioribus, placidlſque Muſis perpetuo oblectamur, & </s>
            <s xml:id="echoid-s19945" xml:space="preserve">conſtruendo libentius, quam de-
              <lb/>
            ſtruendo operam damus.</s>
            <s xml:id="echoid-s19946" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div527" type="section" level="1" n="401">
          <head xml:id="echoid-head420" style="it" xml:space="preserve">Gratiarum Actio.</head>
          <p>
            <s xml:id="echoid-s19947" xml:space="preserve">VErum enimuero N. </s>
            <s xml:id="echoid-s19948" xml:space="preserve">N. </s>
            <s xml:id="echoid-s19949" xml:space="preserve">& </s>
            <s xml:id="echoid-s19950" xml:space="preserve">ſi ea, quæ hactenus de Echo diſſeruimus iucunditate, atque admirabilitate
              <lb/>
            ſint plena; </s>
            <s xml:id="echoid-s19951" xml:space="preserve">admirandum tamen adhuc magis vnum preſtabitis vos ipſi, Echum videlicet, quæ nemine
              <lb/>
            loquente, ſed ſilentibus omnibus, non ſemel, nec bis tantum, ſed perpetuò reſonet. </s>
            <s xml:id="echoid-s19952" xml:space="preserve">vos nimirum Ornatiſſi-
              <lb/>
            mi Viri, grato, ac continuo ſilentio nos dicentes proſequuti eſtis, gratiſſima auditione dignati eſtis, quod
              <lb/>
            ſilentium, quæ auditio in nobis perpetuam gratiarum actionis Echum efficiet. </s>
            <s xml:id="echoid-s19953" xml:space="preserve">quodque ad huc magis mi-
              <lb/>
            randum eſt, nos ijdem, & </s>
            <s xml:id="echoid-s19954" xml:space="preserve">corpora Sonora, & </s>
            <s xml:id="echoid-s19955" xml:space="preserve">grates haſce Reflectentia erimus. </s>
            <s xml:id="echoid-s19956" xml:space="preserve">quin imo exoptamus, inſtar
              <lb/>
            Echus in vocem, ſi fas ſit, transformari, quæ veſtras laudes, veſtraſque grates perpetuo reſonare poſſit.</s>
            <s xml:id="echoid-s19957" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div528" type="section" level="1" n="402">
          <head xml:id="echoid-head421" xml:space="preserve">LAVS DEO.</head>
        </div>
      </text>
    </echo>
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