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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      <text xml:lang="la" type="free">
        <div xml:id="echoid-div283" type="section" level="1" n="194">
          <pb o="139" file="0161" n="166" rhead="Liber decimusſeptimus."/>
        </div>
        <div xml:id="echoid-div285" type="section" level="1" n="195">
          <head xml:id="echoid-head209" style="it" xml:space="preserve">Figura Veneris. Cap. III.</head>
          <p>
            <s xml:id="echoid-s12881" xml:space="preserve">CVm, vt vidimus, ſphæricè ſeu in modum ſphæræ illuminetur, neceſſario ſphærica erit, ſi enim ſphæri-
              <lb/>
            ca non ſit, numquam prædicto modo illuminabitur: </s>
            <s xml:id="echoid-s12882" xml:space="preserve">credideri@ tamen non Geometricè, ſed ruditer
              <lb/>
            eſſe ſphæricam, ob cauſam in Luna, & </s>
            <s xml:id="echoid-s12883" xml:space="preserve">Mercurio allatam.</s>
            <s xml:id="echoid-s12884" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div286" type="section" level="1" n="196">
          <head xml:id="echoid-head210" style="it" xml:space="preserve">Motus Veneris. Cap. IV.</head>
          <p>
            <s xml:id="echoid-s12885" xml:space="preserve">SI cuti in Mercurio, quatuor motus recenſebimus. </s>
            <s xml:id="echoid-s12886" xml:space="preserve">Primò motum apogęi primi, quod eſt locus in Zodiaco,
              <lb/>
            vbi Venusa terris magis diſtare videtur, quod ibi minorem aliquanto epicyclum deſcribat: </s>
            <s xml:id="echoid-s12887" xml:space="preserve">hic igitur lo-
              <lb/>
            cus, ſeu apogæum mouetur ſingulis annis ſecundis tantum. </s>
            <s xml:id="echoid-s12888" xml:space="preserve">51″. </s>
            <s xml:id="echoid-s12889" xml:space="preserve">qui eſt idem cum motu ſtellarum fixarum,
              <lb/>
            vt poſtea patebit|. </s>
            <s xml:id="echoid-s12890" xml:space="preserve">noſtro autem ſæculo apogæum iſtud verſatur circa gra. </s>
            <s xml:id="echoid-s12891" xml:space="preserve">7. </s>
            <s xml:id="echoid-s12892" xml:space="preserve">Geminorum; </s>
            <s xml:id="echoid-s12893" xml:space="preserve">diſtat enim ab
              <lb/>
            æquinoctio ſig. </s>
            <s xml:id="echoid-s12894" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12895" xml:space="preserve">& </s>
            <s xml:id="echoid-s12896" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s12897" xml:space="preserve">ferè 17.</s>
            <s xml:id="echoid-s12898" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12899" xml:space="preserve">Secundò. </s>
            <s xml:id="echoid-s12900" xml:space="preserve">Motum Veneris in longitudinem, quo motu centrum epicycli mouetur in conſequentia ſigno-
              <lb/>
            rum, & </s>
            <s xml:id="echoid-s12901" xml:space="preserve">quoniam epicyclus ſemper Solem circumambiens, eum comitatur, ſequitur motum centri epicycli
              <lb/>
            eſſe idem cum motu Solis.</s>
            <s xml:id="echoid-s12902" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12903" xml:space="preserve">Tertiò Motum anomaliæ; </s>
            <s xml:id="echoid-s12904" xml:space="preserve">quo planeta ipſe peripheriam epicycli circuncurrit; </s>
            <s xml:id="echoid-s12905" xml:space="preserve">in ſuperiori quidem par-
              <lb/>
            te, ſicut etiam Mercurius, ſecundum ord nem ſignorum; </s>
            <s xml:id="echoid-s12906" xml:space="preserve">in inferiori vero contra ordinem ſignorum, ſeu ad
              <lb/>
            occidentem: </s>
            <s xml:id="echoid-s12907" xml:space="preserve">vnde, & </s>
            <s xml:id="echoid-s12908" xml:space="preserve">Directa, & </s>
            <s xml:id="echoid-s12909" xml:space="preserve">Retrograda, & </s>
            <s xml:id="echoid-s12910" xml:space="preserve">Stationaria euadit; </s>
            <s xml:id="echoid-s12911" xml:space="preserve">quapropter motus eius in longitudinem
              <lb/>
            e
              <unsure/>
            ſt anomalus: </s>
            <s xml:id="echoid-s12912" xml:space="preserve">hanc anomaliam in epicyclo Aſtronomi numerant ab A. </s>
            <s xml:id="echoid-s12913" xml:space="preserve">apogæo epicycli, à quo diario motu
              <lb/>
            recedit min. </s>
            <s xml:id="echoid-s12914" xml:space="preserve">37′. </s>
            <s xml:id="echoid-s12915" xml:space="preserve">annuo vero ſignis 7. </s>
            <s xml:id="echoid-s12916" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s12917" xml:space="preserve">15. </s>
            <s xml:id="echoid-s12918" xml:space="preserve">1′. </s>
            <s xml:id="echoid-s12919" xml:space="preserve">eiuſque integrã periodum abſoluit anno vno ſimplici, cum
              <lb/>
            diebus 218. </s>
            <s xml:id="echoid-s12920" xml:space="preserve">& </s>
            <s xml:id="echoid-s12921" xml:space="preserve">horis 21 {1/4}. </s>
            <s xml:id="echoid-s12922" xml:space="preserve">ſeu menſibus 19. </s>
            <s xml:id="echoid-s12923" xml:space="preserve">& </s>
            <s xml:id="echoid-s12924" xml:space="preserve">præterea diebus ferè 8.</s>
            <s xml:id="echoid-s12925" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12926" xml:space="preserve">Venus quando oritur veſperi heliace, tuncincipit deſcendere ab A. </s>
            <s xml:id="echoid-s12927" xml:space="preserve">apogæo epicycli, appellaturque He-
              <lb/>
            ſperus, & </s>
            <s xml:id="echoid-s12928" xml:space="preserve">Veſperugo in toto ſemicirculo orientali A C F. </s>
            <s xml:id="echoid-s12929" xml:space="preserve">inde a perigæo F. </s>
            <s xml:id="echoid-s12930" xml:space="preserve">pergens manè oritur heliacè,
              <lb/>
            tranſmutaturque in Luciferum, Solem manè præueniens, ac præfulgens: </s>
            <s xml:id="echoid-s12931" xml:space="preserve">ſicque in altero ſemicirculo F I A.
              <lb/>
            </s>
            <s xml:id="echoid-s12932" xml:space="preserve">perſeuerat. </s>
            <s xml:id="echoid-s12933" xml:space="preserve">Sciendum porrò priores mundi habitatores exiſtimaſſe Luciferum ac Heſperum duas eſſe ſtellas
              <lb/>
            ab inuicem diſtinctas, quem errorem primus Pythagoras abſtulit; </s>
            <s xml:id="echoid-s12934" xml:space="preserve">Plinius enim lib. </s>
            <s xml:id="echoid-s12935" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12936" xml:space="preserve">cap. </s>
            <s xml:id="echoid-s12937" xml:space="preserve">7. </s>
            <s xml:id="echoid-s12938" xml:space="preserve">hæc habet anti-
              <lb/>
            quitas illa, quæ Pythagoram præceſſit, eam binas eſſe ſtellas exiſtimauit, ſed ſolertiſſimus ille Philoſophus
              <lb/>
            Pythagoras primus deceptionem hanc mortales dedocuit, oſtenditque Luciferum atque Heſperum vnam
              <lb/>
            eamdemque eſſe ſtellam.</s>
            <s xml:id="echoid-s12939" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12940" xml:space="preserve">Quartò. </s>
            <s xml:id="echoid-s12941" xml:space="preserve">Motum in latitudinem, qui inde oritur, quia epicyclus Veneris non iacet ſemper in plano ecly-
              <lb/>
            pticæ, ſed ab eo nunc in Auſtrum, nunc in Boream obliquatur: </s>
            <s xml:id="echoid-s12942" xml:space="preserve">vnde, & </s>
            <s xml:id="echoid-s12943" xml:space="preserve">planeta eum percutrens auſtralis, & </s>
            <s xml:id="echoid-s12944" xml:space="preserve">
              <lb/>
            borealis euadit, & </s>
            <s xml:id="echoid-s12945" xml:space="preserve">reſpectu eclypticæ ſortitur latitudinem vtrinque ab ea, quæ ad ſummum gradus ſeptem
              <lb/>
            excedit; </s>
            <s xml:id="echoid-s12946" xml:space="preserve">quare ſola ex omnibus planetis extra Zodiacum euagatur aliquando, latitudo enim ordinaria Zodia-
              <lb/>
            ci eſt gra. </s>
            <s xml:id="echoid-s12947" xml:space="preserve">12. </s>
            <s xml:id="echoid-s12948" xml:space="preserve">ſecundum communem ſententiam; </s>
            <s xml:id="echoid-s12949" xml:space="preserve">nonnuli tamen vt Venerem quoque intra Zodiacum conti-
              <lb/>
            neant, eum ad gra. </s>
            <s xml:id="echoid-s12950" xml:space="preserve">14. </s>
            <s xml:id="echoid-s12951" xml:space="preserve">dilatant. </s>
            <s xml:id="echoid-s12952" xml:space="preserve">hic igitur eſt motus in latitudinem.</s>
            <s xml:id="echoid-s12953" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12954" xml:space="preserve">Quintò. </s>
            <s xml:id="echoid-s12955" xml:space="preserve">Dum igitur Venus hiſce motibus agitatur, interim cum Sole d@urnam conuerſionem, ac conſe-
              <lb/>
            quenter annuum cum eo motum, quare ab vno tropico ad alterum remeando vltimum tandem ac ſpiralem
              <lb/>
            motum deſcribit.</s>
            <s xml:id="echoid-s12956" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div287" type="section" level="1" n="197">
          <head xml:id="echoid-head211" style="it" xml:space="preserve">Magnitudo Epicycli, atque ipſius Stellæ Veneris. Cap. V.</head>
          <p>
            <s xml:id="echoid-s12957" xml:space="preserve">QVoniam Venus interdiu aliquando commodè ſpectatur, ideo per Quadrantem facilè poteris eius à So-
              <lb/>
            le digreſſionem per aliquot dies obſeruare, quouſque maxima ſit, quæ ſcilicet amplius non creſcat, ea
              <lb/>
            autem eritad ſummum gra. </s>
            <s xml:id="echoid-s12958" xml:space="preserve">48. </s>
            <s xml:id="echoid-s12959" xml:space="preserve">igitur ſi hinc inde à Sole, duo arcus graduum ſinguli 48. </s>
            <s xml:id="echoid-s12960" xml:space="preserve">aſſumpti
              <lb/>
            ſint, ducanturque duæ rectæ O X. </s>
            <s xml:id="echoid-s12961" xml:space="preserve">O Y. </s>
            <s xml:id="echoid-s12962" xml:space="preserve">illos arcus terminantes, deſcripuſque fuerit epicyclus ex centro So-
              <lb/>
            lis eas tangens, eius epicycli magnitudo apparebit, quæ ad gradus tantum 45. </s>
            <s xml:id="echoid-s12963" xml:space="preserve">vtrinque à Sole perueniet. </s>
            <s xml:id="echoid-s12964" xml:space="preserve">erit-
              <lb/>
            que ſemidiameter epicycli S F. </s>
            <s xml:id="echoid-s12965" xml:space="preserve">tres quartæ partes totius diſtantiæ S O. </s>
            <s xml:id="echoid-s12966" xml:space="preserve">erit, O F. </s>
            <s xml:id="echoid-s12967" xml:space="preserve">ſemidiametri terræ 287. </s>
            <s xml:id="echoid-s12968" xml:space="preserve">re-
              <lb/>
            liqua vero F S. </s>
            <s xml:id="echoid-s12969" xml:space="preserve">855.</s>
            <s xml:id="echoid-s12970" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12971" xml:space="preserve">Arcus præ@erea epicycli inferior D F H. </s>
            <s xml:id="echoid-s12972" xml:space="preserve">ſic innoteſcer, angulus enim D O H. </s>
            <s xml:id="echoid-s12973" xml:space="preserve">notus eſt, gra. </s>
            <s xml:id="echoid-s12974" xml:space="preserve">96. </s>
            <s xml:id="echoid-s12975" xml:space="preserve">ergo in
              <lb/>
            quadrilatero D S H O. </s>
            <s xml:id="echoid-s12976" xml:space="preserve">angulus ei oppoſitus D S H. </s>
            <s xml:id="echoid-s12977" xml:space="preserve">erit eius complementum ad duos rectos, ſeu ad gra 180.
              <lb/>
            </s>
            <s xml:id="echoid-s12978" xml:space="preserve">angulus igitur D S H. </s>
            <s xml:id="echoid-s12979" xml:space="preserve">erit gr. </s>
            <s xml:id="echoid-s12980" xml:space="preserve">84. </s>
            <s xml:id="echoid-s12981" xml:space="preserve">quia cum gr. </s>
            <s xml:id="echoid-s12982" xml:space="preserve">96. </s>
            <s xml:id="echoid-s12983" xml:space="preserve">complet. </s>
            <s xml:id="echoid-s12984" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s12985" xml:space="preserve">180. </s>
            <s xml:id="echoid-s12986" xml:space="preserve">ratio eſt, quia in hoc quadrilatero, qua-
              <lb/>
            tuor angulis rectis per coroll. </s>
            <s xml:id="echoid-s12987" xml:space="preserve">32. </s>
            <s xml:id="echoid-s12988" xml:space="preserve">primi ſed duo anguli ad D. </s>
            <s xml:id="echoid-s12989" xml:space="preserve">& </s>
            <s xml:id="echoid-s12990" xml:space="preserve">H. </s>
            <s xml:id="echoid-s12991" xml:space="preserve">ſunt recti per 18. </s>
            <s xml:id="echoid-s12992" xml:space="preserve">tertij Elem. </s>
            <s xml:id="echoid-s12993" xml:space="preserve">ergo duo an-
              <lb/>
            guli ad O, & </s>
            <s xml:id="echoid-s12994" xml:space="preserve">S. </s>
            <s xml:id="echoid-s12995" xml:space="preserve">ſimul ſunt æquales duob. </s>
            <s xml:id="echoid-s12996" xml:space="preserve">rectis; </s>
            <s xml:id="echoid-s12997" xml:space="preserve">ergo alter alterius ad duos rectos complementum erit tandem
              <lb/>
            detracto arcu inferiori D F H. </s>
            <s xml:id="echoid-s12998" xml:space="preserve">ex toto circulo, remanet pars epicycli ſuperior cognita gr. </s>
            <s xml:id="echoid-s12999" xml:space="preserve">276.</s>
            <s xml:id="echoid-s13000" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div288" type="section" level="1" n="198">
          <head xml:id="echoid-head212" style="it" xml:space="preserve">Magnitudo Stellæ Veneris.</head>
          <p>
            <s xml:id="echoid-s13001" xml:space="preserve">PRimò indagabimus diſtantiam Veneris tum à Sole, tum à terra, eodem prorſus modo, quo ſupra ex Ari-
              <lb/>
            ſtarcho Samio diſtantias Lunæ, Te
              <unsure/>
            rræ, & </s>
            <s xml:id="echoid-s13002" xml:space="preserve">Sole indagauimus. </s>
            <s xml:id="echoid-s13003" xml:space="preserve">nam quando nobis per Teleſcopium </s>
          </p>
        </div>
      </text>
    </echo>
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