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-div189" type="section" level="1" n="122">
          <p>
            <s xml:id="echoid-s9019" xml:space="preserve">
              <pb o="93" file="0113" n="117" rhead="Liber Nonus."/>
            rius ad datum tempus computatam. </s>
            <s xml:id="echoid-s9020" xml:space="preserve">æquationem ei debitam, ex præmiſſa æquationis Tabula eruamus, eaq;
              <lb/>
            </s>
            <s xml:id="echoid-s9021" xml:space="preserve">ruxta præcepta vtamur. </s>
            <s xml:id="echoid-s9022" xml:space="preserve">Erat ſuperior Anomalia Sig. </s>
            <s xml:id="echoid-s9023" xml:space="preserve">o. </s>
            <s xml:id="echoid-s9024" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s9025" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9026" xml:space="preserve">12′. </s>
            <s xml:id="echoid-s9027" xml:space="preserve">quæ quia nullum ſignum integrum conti-
              <lb/>
            net, ſed tantum gr. </s>
            <s xml:id="echoid-s9028" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9029" xml:space="preserve">12′. </s>
            <s xml:id="echoid-s9030" xml:space="preserve">ideo in prima ſerie deſcendente reperio gr. </s>
            <s xml:id="echoid-s9031" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9032" xml:space="preserve">in quorum directo ſub prima colum-
              <lb/>
            na, cuio. </s>
            <s xml:id="echoid-s9033" xml:space="preserve">inſcribitur, accipio 20′. </s>
            <s xml:id="echoid-s9034" xml:space="preserve">æquationem gr. </s>
            <s xml:id="echoid-s9035" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9036" xml:space="preserve">competentem. </s>
            <s xml:id="echoid-s9037" xml:space="preserve">minuta autem 12. </s>
            <s xml:id="echoid-s9038" xml:space="preserve">poſſunt facilitatis cau-
              <lb/>
            ſa negligi, cum erroris ferè nihil ingerant. </s>
            <s xml:id="echoid-s9039" xml:space="preserve">poteſt autem hæc regula obſeruari; </s>
            <s xml:id="echoid-s9040" xml:space="preserve">ſi minuta non plura fuerint
              <lb/>
            quam 30. </s>
            <s xml:id="echoid-s9041" xml:space="preserve">ommitti poſlunt: </s>
            <s xml:id="echoid-s9042" xml:space="preserve">ſi vero plura quam 30. </s>
            <s xml:id="echoid-s9043" xml:space="preserve">poſſunt pro gradu vno accipi; </s>
            <s xml:id="echoid-s9044" xml:space="preserve">ſic vt numerus graduũ vna
              <lb/>
            vnitate augeatur. </s>
            <s xml:id="echoid-s9045" xml:space="preserve">Hæc igitur æquatio quia reſpondet Anomaliæ orioris ſemicirculi, ideo auferenda eſt a
              <lb/>
            medio motu longitudinis *** ſuperius computato, vt vera
              <lb/>
              <note position="right" xlink:label="note-0113-01" xlink:href="note-0113-01a" xml:space="preserve">
                <lb/>
              Sig. # Gra. # 1.
                <lb/>
              4 # 25 # 2 # Media longitudo.
                <lb/>
              0 # 0 # 20 # Æquatio demenda.
                <lb/>
              4 # 24 # 42 # Verus motus ***.
                <lb/>
              </note>
            Lunæ longitudo relinquatur; </s>
            <s xml:id="echoid-s9046" xml:space="preserve">erat media longitudo, qua
              <lb/>
            lem oſtendit formula exẽpli, a qua ſi dematur æquatio nęc
              <lb/>
            relinquitur vera Lunæ diſtantia ab æquinoctio. </s>
            <s xml:id="echoid-s9047" xml:space="preserve">Sig. </s>
            <s xml:id="echoid-s9048" xml:space="preserve">4 gr.
              <lb/>
            </s>
            <s xml:id="echoid-s9049" xml:space="preserve">24. </s>
            <s xml:id="echoid-s9050" xml:space="preserve">42′. </s>
            <s xml:id="echoid-s9051" xml:space="preserve">quamuis hæc æquatio fit paulo iuſto minor, quo-
              <lb/>
            niam aliquantulum a nouilunio diſtat datum tempus. </s>
            <s xml:id="echoid-s9052" xml:space="preserve">
              <lb/>
            Illud nunc repetendum, quod ſupra monuimus; </s>
            <s xml:id="echoid-s9053" xml:space="preserve">datum
              <lb/>
            videlicet tempus ex ſuppoſitione referri ad meridianum Venetum, quare in omnibus locis, ſub dicto meri-
              <lb/>
            diano, die 16. </s>
            <s xml:id="echoid-s9054" xml:space="preserve">Iulij hor. </s>
            <s xml:id="echoid-s9055" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9056" xml:space="preserve">15′. </s>
            <s xml:id="echoid-s9057" xml:space="preserve">p. </s>
            <s xml:id="echoid-s9058" xml:space="preserve">merid. </s>
            <s xml:id="echoid-s9059" xml:space="preserve">Luna habet prædictam diſtantiam ab æquinoctio, eſtque in gr. </s>
            <s xml:id="echoid-s9060" xml:space="preserve">24 42′. </s>
            <s xml:id="echoid-s9061" xml:space="preserve">
              <lb/>
            Leonis. </s>
            <s xml:id="echoid-s9062" xml:space="preserve">nos igitur qui Foronoui, nunc relaxationis cauſa degimus, cuius meridianus occidentalior eſt meri-
              <lb/>
            diano Veneto, gradu ferè vno, ideo iuxta noſtrum meridianum, ideſt, iuxta horas, & </s>
            <s xml:id="echoid-s9063" xml:space="preserve">minuta ad ipſum rela-
              <lb/>
            ta, prius hæc Lunæ longitudo abſoluta eſt: </s>
            <s xml:id="echoid-s9064" xml:space="preserve">vnus autem gradus importat 4′. </s>
            <s xml:id="echoid-s9065" xml:space="preserve">minuta horarum, vt parte@ex ta-
              <lb/>
            bella ſuperius in cap. </s>
            <s xml:id="echoid-s9066" xml:space="preserve">de æquatore poſita. </s>
            <s xml:id="echoid-s9067" xml:space="preserve">quare ſecundum noſtrum tempus dicendum eſt. </s>
            <s xml:id="echoid-s9068" xml:space="preserve">die 16. </s>
            <s xml:id="echoid-s9069" xml:space="preserve">lulij, hor. </s>
            <s xml:id="echoid-s9070" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9071" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s9072" xml:space="preserve">11. </s>
            <s xml:id="echoid-s9073" xml:space="preserve">tamen minutis, Lunam obtinuiſſe prædictam veram ab æquinoctio diſtantiam. </s>
            <s xml:id="echoid-s9074" xml:space="preserve">ſimilis, ſed tamen con-
              <lb/>
            traria methodus, ſeruanda eſt, cum ad meridianum magis orientalem, transferenda eſt calculatio.</s>
            <s xml:id="echoid-s9075" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9076" xml:space="preserve">Quod ſi ad tempus ante Radicem 1600. </s>
            <s xml:id="echoid-s9077" xml:space="preserve">datum, eſſet calculandum, omnia ſimiliter vt in allato exemplo
              <lb/>
            ſunt exequenda; </s>
            <s xml:id="echoid-s9078" xml:space="preserve">præterquam quòd ſummæ motuum mediorum collectæ, nõn ſunt addendæ Radicibus mo-
              <lb/>
            tuum, ſed demendæ; </s>
            <s xml:id="echoid-s9079" xml:space="preserve">addito integro circulo, ſeu ſignis 12. </s>
            <s xml:id="echoid-s9080" xml:space="preserve">ſi nequeat fieri ſubtractio. </s>
            <s xml:id="echoid-s9081" xml:space="preserve">ante tamen annum.
              <lb/>
            </s>
            <s xml:id="echoid-s9082" xml:space="preserve">Domini 1582. </s>
            <s xml:id="echoid-s9083" xml:space="preserve">habenda eſſet ratio dierum 10. </s>
            <s xml:id="echoid-s9084" xml:space="preserve">qui eo anno, ob Calendarij correctonem exempti ſunt: </s>
            <s xml:id="echoid-s9085" xml:space="preserve">fed
              <lb/>
            fortè nimis longum fecimus.</s>
            <s xml:id="echoid-s9086" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div191" type="section" level="1" n="123">
          <head xml:id="echoid-head135" style="it" xml:space="preserve">Aliter, & Practicè.</head>
          <p>
            <s xml:id="echoid-s9087" xml:space="preserve">POſſumus autem non iniucunda praxi eandem calculationem abſoluere, ſimulque eius rationem intelli-
              <lb/>
            gere. </s>
            <s xml:id="echoid-s9088" xml:space="preserve">paretur igitur figura qualis eſt præſens, in qua ſemidiam. </s>
            <s xml:id="echoid-s9089" xml:space="preserve">epicy. </s>
            <s xml:id="echoid-s9090" xml:space="preserve">C B. </s>
            <s xml:id="echoid-s9091" xml:space="preserve">ad ſemidiam. </s>
            <s xml:id="echoid-s9092" xml:space="preserve">A B. </s>
            <s xml:id="echoid-s9093" xml:space="preserve">habeat ve-
              <lb/>
            ram proportionem, quam ſupra
              <lb/>
              <figure xlink:label="fig-0113-01" xlink:href="fig-0113-01a" number="74">
                <image file="0113-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0113-01"/>
              </figure>
            poſuimus. </s>
            <s xml:id="echoid-s9094" xml:space="preserve">in ea, linea A B C.
              <lb/>
            </s>
            <s xml:id="echoid-s9095" xml:space="preserve">tranſeat per gr. </s>
            <s xml:id="echoid-s9096" xml:space="preserve">25. </s>
            <s xml:id="echoid-s9097" xml:space="preserve">9′. </s>
            <s xml:id="echoid-s9098" xml:space="preserve">Scorpio-
              <lb/>
            nis, vt referat Radice 6600. </s>
            <s xml:id="echoid-s9099" xml:space="preserve">lon-
              <lb/>
            gltudinis mediæ Lunæ. </s>
            <s xml:id="echoid-s9100" xml:space="preserve">ſic igi-
              <lb/>
            tur ſuperius exẽplum dati tem-
              <lb/>
            poris in hac figura computabis. </s>
            <s xml:id="echoid-s9101" xml:space="preserve">
              <lb/>
            reliquorũ annorũ 15. </s>
            <s xml:id="echoid-s9102" xml:space="preserve">motus eſt
              <lb/>
            Sig. </s>
            <s xml:id="echoid-s9103" xml:space="preserve">6. </s>
            <s xml:id="echoid-s9104" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s9105" xml:space="preserve">0. </s>
            <s xml:id="echoid-s9106" xml:space="preserve">17′. </s>
            <s xml:id="echoid-s9107" xml:space="preserve">@deo lineã A B. </s>
            <s xml:id="echoid-s9108" xml:space="preserve">
              <lb/>
            promoueas ſecundũ conſequen
              <lb/>
            tiam Sig. </s>
            <s xml:id="echoid-s9109" xml:space="preserve">6. </s>
            <s xml:id="echoid-s9110" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s9111" xml:space="preserve">0. </s>
            <s xml:id="echoid-s9112" xml:space="preserve">17′. </s>
            <s xml:id="echoid-s9113" xml:space="preserve">perueniet-
              <lb/>
            que ad Tauri gr. </s>
            <s xml:id="echoid-s9114" xml:space="preserve">25. </s>
            <s xml:id="echoid-s9115" xml:space="preserve">29′. </s>
            <s xml:id="echoid-s9116" xml:space="preserve">quod
              <lb/>
            pùctis notabis. </s>
            <s xml:id="echoid-s9117" xml:space="preserve">deinde quia mo-
              <lb/>
            tus longitudinis mẽſis lunij Biſ
              <lb/>
            ſext. </s>
            <s xml:id="echoid-s9118" xml:space="preserve">eſt, Sig. </s>
            <s xml:id="echoid-s9119" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9120" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s9121" xml:space="preserve">28. </s>
            <s xml:id="echoid-s9122" xml:space="preserve">6′. </s>
            <s xml:id="echoid-s9123" xml:space="preserve">Ideo
              <lb/>
            promoue adhuc lineam per to-
              <lb/>
            tidem ſig. </s>
            <s xml:id="echoid-s9124" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s9125" xml:space="preserve">′. </s>
            <s xml:id="echoid-s9126" xml:space="preserve">& </s>
            <s xml:id="echoid-s9127" xml:space="preserve">perueniet ad
              <lb/>
            gr. </s>
            <s xml:id="echoid-s9128" xml:space="preserve">23 {1/2}. </s>
            <s xml:id="echoid-s9129" xml:space="preserve">♑. </s>
            <s xml:id="echoid-s9130" xml:space="preserve">vbi puncta notabis. </s>
            <s xml:id="echoid-s9131" xml:space="preserve">
              <lb/>
            tertio quia motus dierum 16. </s>
            <s xml:id="echoid-s9132" xml:space="preserve">& </s>
            <s xml:id="echoid-s9133" xml:space="preserve">
              <lb/>
            horæ vnius, ac 15′. </s>
            <s xml:id="echoid-s9134" xml:space="preserve">eſt ſig. </s>
            <s xml:id="echoid-s9135" xml:space="preserve">7. </s>
            <s xml:id="echoid-s9136" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s9137" xml:space="preserve">
              <lb/>
            1.</s>
            <s xml:id="echoid-s9138" xml:space="preserve">31′. </s>
            <s xml:id="echoid-s9139" xml:space="preserve">vlterius adhuc lineam tan-
              <lb/>
            tundem deducas; </s>
            <s xml:id="echoid-s9140" xml:space="preserve">peruenietque
              <lb/>
            ad gr. </s>
            <s xml:id="echoid-s9141" xml:space="preserve">25. </s>
            <s xml:id="echoid-s9142" xml:space="preserve">Leonis cum 2′. </s>
            <s xml:id="echoid-s9143" xml:space="preserve">vbi vi-
              <lb/>
            des puncta notata; </s>
            <s xml:id="echoid-s9144" xml:space="preserve">in eum ſcili-
              <lb/>
            cet locum, in quem etiam calcu-
              <lb/>
            lus centrũ epic. </s>
            <s xml:id="echoid-s9145" xml:space="preserve">coniecit; </s>
            <s xml:id="echoid-s9146" xml:space="preserve">illucq; </s>
            <s xml:id="echoid-s9147" xml:space="preserve">
              <lb/>
            debes imaginari eſſe translatum
              <lb/>
            epicyclum in K. </s>
            <s xml:id="echoid-s9148" xml:space="preserve">ſimiliter fac cũ
              <lb/>
            motibus Anomaliæ, cuius radix
              <lb/>
            ad 1600. </s>
            <s xml:id="echoid-s9149" xml:space="preserve">eſt ſig. </s>
            <s xml:id="echoid-s9150" xml:space="preserve">0. </s>
            <s xml:id="echoid-s9151" xml:space="preserve">g. </s>
            <s xml:id="echoid-s9152" xml:space="preserve">6. </s>
            <s xml:id="echoid-s9153" xml:space="preserve">40′. </s>
            <s xml:id="echoid-s9154" xml:space="preserve">nota-
              <lb/>
            s
              <unsure/>
            urq; </s>
            <s xml:id="echoid-s9155" xml:space="preserve">linea imaginaria B O. </s>
            <s xml:id="echoid-s9156" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>