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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        <div xml:id="echoid-div232" type="section" level="1" n="151">
          <p>
            <s xml:id="echoid-s11364" xml:space="preserve">
              <pb o="112" file="0132" n="136" rhead="De Mundi Fabrica,"/>
            diem accidit. </s>
            <s xml:id="echoid-s11365" xml:space="preserve">quoniam vero E F, eſt diameter prædicti
              <lb/>
              <figure xlink:label="fig-0132-01" xlink:href="fig-0132-01a" number="85">
                <image file="0132-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0132-01"/>
              </figure>
            tropici, erit L, medium ipſius punctum, centrum eiuſdem
              <lb/>
            tropici: </s>
            <s xml:id="echoid-s11366" xml:space="preserve">axis enim π P, tranſit per centrum omnium pa-
              <lb/>
            ralellorum æquatoris. </s>
            <s xml:id="echoid-s11367" xml:space="preserve">ex centro igitur L. </s>
            <s xml:id="echoid-s11368" xml:space="preserve">deſcribatur cir-
              <lb/>
            culus E o p F. </s>
            <s xml:id="echoid-s11369" xml:space="preserve">& </s>
            <s xml:id="echoid-s11370" xml:space="preserve">à punctis M N. </s>
            <s xml:id="echoid-s11371" xml:space="preserve">in quibus diameter tropi-
              <lb/>
            ci ſecat diametros horizontis, & </s>
            <s xml:id="echoid-s11372" xml:space="preserve">circuli crepuſculorum,
              <lb/>
            e
              <unsure/>
            ducantur duæ perpendiculares M O. </s>
            <s xml:id="echoid-s11373" xml:space="preserve">N p. </s>
            <s xml:id="echoid-s11374" xml:space="preserve">Iam debemus
              <lb/>
            concipere hunc ſemicirculum eſſe perpendiculariter ele-
              <lb/>
            uatum ſupra planum meridiani ad partem orientalem,
              <lb/>
            in quo ſitu M o, apparebit iacere in plano horizõtis. </s>
            <s xml:id="echoid-s11375" xml:space="preserve">N p,
              <lb/>
            vero in plano crepuſculini circuli. </s>
            <s xml:id="echoid-s11376" xml:space="preserve">nunc conſiderandum
              <lb/>
            eſt, punctum F, eſſe punctum mediæ noctis. </s>
            <s xml:id="echoid-s11377" xml:space="preserve">quare dum
              <lb/>
            Soleo die aſcendit ab F, ad p, ſcandens arcum F p. </s>
            <s xml:id="echoid-s11378" xml:space="preserve">efficis
              <lb/>
            tenebras ac intempeſtam noctem. </s>
            <s xml:id="echoid-s11379" xml:space="preserve">in p, vero auroram ſeu
              <lb/>
            crepuſculi initiũ efficit. </s>
            <s xml:id="echoid-s11380" xml:space="preserve">a p, deinde vſq; </s>
            <s xml:id="echoid-s11381" xml:space="preserve">ad o, Sole aſcen-
              <lb/>
            dente abſoluitur crepuſculum. </s>
            <s xml:id="echoid-s11382" xml:space="preserve">& </s>
            <s xml:id="echoid-s11383" xml:space="preserve">quoniam o@ eſt in hori-
              <lb/>
            zonte, in eo Sol diem artificialem incipit. </s>
            <s xml:id="echoid-s11384" xml:space="preserve">abo, vero vſq;
              <lb/>
            </s>
            <s xml:id="echoid-s11385" xml:space="preserve">ad E, quod eſt in meridiano, dimidium abſoluet diem. </s>
            <s xml:id="echoid-s11386" xml:space="preserve">
              <lb/>
            atque in ipſo E, meridiem efficiet. </s>
            <s xml:id="echoid-s11387" xml:space="preserve">erit igltur arcus F O,
              <lb/>
            arcus ſeminocturnus. </s>
            <s xml:id="echoid-s11388" xml:space="preserve">p O, arcus crepuſculi. </s>
            <s xml:id="echoid-s11389" xml:space="preserve">O E, arcus
              <lb/>
            ſemidiurnus. </s>
            <s xml:id="echoid-s11390" xml:space="preserve">ſi igitur hi arcus iuxta priores Appar. </s>
            <s xml:id="echoid-s11391" xml:space="preserve">propo-
              <lb/>
            @@tiones, diuidantur in grad. </s>
            <s xml:id="echoid-s11392" xml:space="preserve">& </s>
            <s xml:id="echoid-s11393" xml:space="preserve">diligenter expendantur, innoteſcent grad. </s>
            <s xml:id="echoid-s11394" xml:space="preserve">ſingulorum, & </s>
            <s xml:id="echoid-s11395" xml:space="preserve">conſequenter du-
              <lb/>
            rationes, tempora, ſeu quantitates temporis ſeminocturni, crepuſculi, & </s>
            <s xml:id="echoid-s11396" xml:space="preserve">ſemidiurni temporis, ijs modis qui-
              <lb/>
            bus antea in dierum quantitatem vſi ſumus.</s>
            <s xml:id="echoid-s11397" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11398" xml:space="preserve">Eodem modo exiſtente Sole in quouis alio grad. </s>
            <s xml:id="echoid-s11399" xml:space="preserve">agendum eſt, ſed quando percurrit æquatorem, non eſt
              <lb/>
            nouus ſemicirculus pro eo deſcribendus, quoniam vteruis meridiani ſemicirculus fungi poteſt officio ipſius,
              <lb/>
            ſi nimirum cogitetur eleuatus perpendiculariter orientem verſus. </s>
            <s xml:id="echoid-s11400" xml:space="preserve">& </s>
            <s xml:id="echoid-s11401" xml:space="preserve">à puncto R, ducta ſit paralella ipſi C P,
              <lb/>
            vſque ad peripheriam in S, arcus enim S P, indicaret crepuſculi quantitatem, &</s>
            <s xml:id="echoid-s11402" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11403" xml:space="preserve">circa tropicum Capricor-
              <lb/>
            ni ſimiliter agendum eſt, vti factum in tropico Cancri. </s>
            <s xml:id="echoid-s11404" xml:space="preserve">verum afferamus aliud exemplum, Sole nec tropicos,
              <lb/>
            nec æquatorem percurrente. </s>
            <s xml:id="echoid-s11405" xml:space="preserve">igitur ſint illa eadem tria inquirenda, quando Sol eſt in principio Scorpij. </s>
            <s xml:id="echoid-s11406" xml:space="preserve">Ex
              <lb/>
            tabella igitur declinationum eclypticæ accipio declinationem initij Scorpionis, quæ eſt gr. </s>
            <s xml:id="echoid-s11407" xml:space="preserve">11. </s>
            <s xml:id="echoid-s11408" xml:space="preserve">30′. </s>
            <s xml:id="echoid-s11409" xml:space="preserve">auſtra-
              <lb/>
            lis, & </s>
            <s xml:id="echoid-s11410" xml:space="preserve">à puncto c, minuſculo, quod eſt in circumferentia, verſus G, ideſt, in auſtrum, ſumatur arcus C T. </s>
            <s xml:id="echoid-s11411" xml:space="preserve">gr.
              <lb/>
            </s>
            <s xml:id="echoid-s11412" xml:space="preserve">11. </s>
            <s xml:id="echoid-s11413" xml:space="preserve">30′. </s>
            <s xml:id="echoid-s11414" xml:space="preserve">ductaq; </s>
            <s xml:id="echoid-s11415" xml:space="preserve">T V, erit diameter paralelli Solis exiſtentis in principio Scorpij. </s>
            <s xml:id="echoid-s11416" xml:space="preserve">X, vero erit eius centrum,
              <lb/>
            ex quo deſcribatur ſemicirculus T γ V, & </s>
            <s xml:id="echoid-s11417" xml:space="preserve">ex punctis Z α, ducantur duæ lineæ z β, α γ, perpendiculares ipſi
              <lb/>
            TV; </s>
            <s xml:id="echoid-s11418" xml:space="preserve">ac proinde inuicem paralellæ. </s>
            <s xml:id="echoid-s11419" xml:space="preserve">Iam ſi vt prius cogitetur ſemicirculus T γ V, in proprio ſitus eleuatus
              <lb/>
            perpendiculariter ad meridiem erunt prædictæ duæ paralellæ, vna in plano horizontis, altera in plano cir-
              <lb/>
            culi crepuſculorum, eritque vt antea arcus V γ, arcus dimidiæ noctis puræ, ac intempeſtæ. </s>
            <s xml:id="echoid-s11420" xml:space="preserve">γ β, arcus cre-
              <lb/>
            puſculi. </s>
            <s xml:id="echoid-s11421" xml:space="preserve">V β, arcus ſeminocturnus. </s>
            <s xml:id="echoid-s11422" xml:space="preserve">arcus β T, arcus ſemidiurnus. </s>
            <s xml:id="echoid-s11423" xml:space="preserve">eodem modo procedendum eſt in quolibet
              <lb/>
            gradu, & </s>
            <s xml:id="echoid-s11424" xml:space="preserve">qualibet poli altitudine. </s>
            <s xml:id="echoid-s11425" xml:space="preserve">vbi notandum eſt arcum nocturnum haberi poſſe ex præhabito areu diur-
              <lb/>
            no; </s>
            <s xml:id="echoid-s11426" xml:space="preserve">ſi enim arcus diurnus detrahatur ex integro circulo, reliquus arcus, nocturnus erit: </s>
            <s xml:id="echoid-s11427" xml:space="preserve">viciſſim ex arcu no-
              <lb/>
            cturno diurnus elici poteſt.</s>
            <s xml:id="echoid-s11428" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11429" xml:space="preserve">Hoc loco habenda eſt ratio trium locorum differentiarum, quas ſupra attullimus; </s>
            <s xml:id="echoid-s11430" xml:space="preserve">loca ſcilicet quædam
              <lb/>
            eſſe vbi fit crepuſculum, quod eſt pars noctis: </s>
            <s xml:id="echoid-s11431" xml:space="preserve">quædam vero vbi crepuſculum totam noctem occupat: </s>
            <s xml:id="echoid-s11432" xml:space="preserve">quæ-
              <lb/>
            dam tantum nullum habent crepuſculum. </s>
            <s xml:id="echoid-s11433" xml:space="preserve">qu omnia rectè intelligentur, ſi Analemma conſtruatur ad poli
              <lb/>
            eleuationem maiorem, quam 66 {1/2}. </s>
            <s xml:id="echoid-s11434" xml:space="preserve">v. </s>
            <s xml:id="echoid-s11435" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11436" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s11437" xml:space="preserve">70. </s>
            <s xml:id="echoid-s11438" xml:space="preserve">in hac enim ſphæra videbis tria paralellorum Solis genera;
              <lb/>
            </s>
            <s xml:id="echoid-s11439" xml:space="preserve">alij enim toti ſupra horizontem extabunt; </s>
            <s xml:id="echoid-s11440" xml:space="preserve">vnus tantum ipſum tanget; </s>
            <s xml:id="echoid-s11441" xml:space="preserve">hique nullum dant crepuſculum. </s>
            <s xml:id="echoid-s11442" xml:space="preserve">alij
              <lb/>
            horizontem tantum ſecabunt, non autem crepuſculinum, hique noctem totam conuertunt in crepuſculum. </s>
            <s xml:id="echoid-s11443" xml:space="preserve">
              <lb/>
            alij demum vtrumque ſecabunt, hique partem noctis tantum crepuſculum eſſiciens his itaque modis com-
              <lb/>
            poni poſſunt duæ Tabulæ per totum annum, ſiue per omnes Zodiaci grad. </s>
            <s xml:id="echoid-s11444" xml:space="preserve">necnon ad omnes poli altitudi-
              <lb/>
            nes. </s>
            <s xml:id="echoid-s11445" xml:space="preserve">quarum prima contineat tempus diurnum. </s>
            <s xml:id="echoid-s11446" xml:space="preserve">ac nocturnum. </s>
            <s xml:id="echoid-s11447" xml:space="preserve">Altera vero quantitatem crepuſculorum
              <lb/>
            quales infra dabimus.</s>
            <s xml:id="echoid-s11448" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div234" type="section" level="1" n="152">
          <head xml:id="echoid-head164" style="it" xml:space="preserve">Eadem reperire ex Analemmate Vniuerſali</head>
          <p>
            <s xml:id="echoid-s11449" xml:space="preserve">TVm ex paulo ante dictis, tum ex declaratione præſentis figuræ, quæ ipſum Analemma eſt vniuerſale,
              <lb/>
            manifeſta fient, quæ propoſuimus. </s>
            <s xml:id="echoid-s11450" xml:space="preserve">Analemma igitur vniuerſale eſt figura in plano deſcripta, quæ ta-
              <lb/>
            men ſolidam, ideſt, ſphæram Armillarem repræſentat; </s>
            <s xml:id="echoid-s11451" xml:space="preserve">cuius vna pars eſt mobilis circa centrum, po@ietqu@
              <lb/>
            appellari Planiſphærium. </s>
            <s xml:id="echoid-s11452" xml:space="preserve">talis eſt figura præſens, quæ conſtans ex duabus partibus, altera ſtabili, altera mo-
              <lb/>
            bili ſtabilis eſt inferior, in qua circulus A B C D, refert circulum meridianum. </s>
            <s xml:id="echoid-s11453" xml:space="preserve">A C, diametrum horizontis.
              <lb/>
            </s>
            <s xml:id="echoid-s11454" xml:space="preserve">E F, diametrum circuli crepuſculini, quæ eſt infra horizontem gr. </s>
            <s xml:id="echoid-s11455" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11456" xml:space="preserve">qui gr. </s>
            <s xml:id="echoid-s11457" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11458" xml:space="preserve">accipiendi ſunt in interiori
              <lb/>
            circulo, ita vt arcus G H, K I, vterque ſit gr. </s>
            <s xml:id="echoid-s11459" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11460" xml:space="preserve">quadrans C B. </s>
            <s xml:id="echoid-s11461" xml:space="preserve">diuidatur in gr. </s>
            <s xml:id="echoid-s11462" xml:space="preserve">90. </s>
            <s xml:id="echoid-s11463" xml:space="preserve">vt ad omnes poli altitudi-
              <lb/>
            nes accommodari poſſit par
              <unsure/>
            s mobilis. </s>
            <s xml:id="echoid-s11464" xml:space="preserve">loco autem duarum linearum A C, E F. </s>
            <s xml:id="echoid-s11465" xml:space="preserve">tendenda ſunt duo fila ſubti-
              <lb/>
            liſſima. </s>
            <s xml:id="echoid-s11466" xml:space="preserve">quod vt recte fieri poſſit, deſcribenda eſt hæc pars ſtabilis in charta ſolidiori, aut in tabula </s>
          </p>
        </div>
      </text>
    </echo>
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