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

Table of Notes

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    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div162" type="section" level="1" n="101">
          <pb o="79" file="0101" n="105" rhead="Liber Nonus."/>
        </div>
        <div xml:id="echoid-div163" type="section" level="1" n="102">
          <head xml:id="echoid-head112" style="it" xml:space="preserve">Explicatio ſex ſequentium Tabular. Aſtronom. Lunæ, & primò de prima Tabula
            <lb/>
          Horarum, & minutorum. Cap. XII.</head>
          <p>
            <s xml:id="echoid-s8093" xml:space="preserve">SEd iam tempus eſt Tabulas ipſas mediorum motuũ exponere, ac breniter explicare. </s>
            <s xml:id="echoid-s8094" xml:space="preserve">eas igitur ſimul om-
              <lb/>
            nes commoditatis cauſa exponemus, quæ ſunt ſex ſequentes poſt præſentem earum explicationem; </s>
            <s xml:id="echoid-s8095" xml:space="preserve">qua-
              <lb/>
            rum. </s>
            <s xml:id="echoid-s8096" xml:space="preserve">prima ſit ea, quæ continet tres motus medios, in horis, & </s>
            <s xml:id="echoid-s8097" xml:space="preserve">min. </s>
            <s xml:id="echoid-s8098" xml:space="preserve">horarum in ea ſunt tres columnæ, prima
              <lb/>
            dicata eſt motui horario longitudinis @, ab æquinoctio. </s>
            <s xml:id="echoid-s8099" xml:space="preserve">2. </s>
            <s xml:id="echoid-s8100" xml:space="preserve">motui anomaliæ. </s>
            <s xml:id="echoid-s8101" xml:space="preserve">3. </s>
            <s xml:id="echoid-s8102" xml:space="preserve">☊, nodi borealis motui. </s>
            <s xml:id="echoid-s8103" xml:space="preserve">pri-
              <lb/>
            ma columna habet quatuor ordines, ſeu ſeries. </s>
            <s xml:id="echoid-s8104" xml:space="preserve">prima ſeries habet numeros horarum ſingularum vſque ad 30.
              <lb/>
            </s>
            <s xml:id="echoid-s8105" xml:space="preserve">qui numeri accipiuntur aliquando tanquam minuta; </s>
            <s xml:id="echoid-s8106" xml:space="preserve">& </s>
            <s xml:id="echoid-s8107" xml:space="preserve">ideo in eadem ſerie in principio, poſitum eſt vtrum-
              <lb/>
            que vocabulum (horæ, minuta) hæc prima ſeries inſeruit, etiam reliquis duabus columnis. </s>
            <s xml:id="echoid-s8108" xml:space="preserve">omnes pręterea
              <lb/>
            columnæ habent 30. </s>
            <s xml:id="echoid-s8109" xml:space="preserve">verſus in primo verſu ſunt S. </s>
            <s xml:id="echoid-s8110" xml:space="preserve">G. </s>
            <s xml:id="echoid-s8111" xml:space="preserve">hoceſt ſigna, gradus, minuta in 2. </s>
            <s xml:id="echoid-s8112" xml:space="preserve">verſu ſunt Gra. </s>
            <s xml:id="echoid-s8113" xml:space="preserve">1. </s>
            <s xml:id="echoid-s8114" xml:space="preserve">11. </s>
            <s xml:id="echoid-s8115" xml:space="preserve">
              <lb/>
            hoc eſt gradus, minuta, ſecunda; </s>
            <s xml:id="echoid-s8116" xml:space="preserve">quæ vſum habent quando numeri primæ ſeriei ſumuntur tanquam minuta. </s>
            <s xml:id="echoid-s8117" xml:space="preserve">
              <lb/>
            in reliquis 32. </s>
            <s xml:id="echoid-s8118" xml:space="preserve">verſibus, ſunt numeri ſignorum graduum, min. </s>
            <s xml:id="echoid-s8119" xml:space="preserve">& </s>
            <s xml:id="echoid-s8120" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s8121" xml:space="preserve">reſpondentes ſingulis horis, aut minu-
              <lb/>
            tis primæ ſeriei, prout ſunt in eorum directum: </s>
            <s xml:id="echoid-s8122" xml:space="preserve">qui numeri ſunt numeri mediorum motuum in proprijs co-
              <lb/>
            lumnis. </s>
            <s xml:id="echoid-s8123" xml:space="preserve">Conſtructio huius tabulæ fit hoc modo. </s>
            <s xml:id="echoid-s8124" xml:space="preserve">inuento vti ſupra dictum eſt motu diario. </s>
            <s xml:id="echoid-s8125" xml:space="preserve">v. </s>
            <s xml:id="echoid-s8126" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8127" xml:space="preserve">longitudi-
              <lb/>
            nis Lunæ, aut anomaliæ, eum diuidunt in partes 24. </s>
            <s xml:id="echoid-s8128" xml:space="preserve">quare pars illa 24. </s>
            <s xml:id="echoid-s8129" xml:space="preserve">eſt motus horarius. </s>
            <s xml:id="echoid-s8130" xml:space="preserve">hunc ſcribunt è
              <lb/>
            regione horæ vnius, ſiue in 3. </s>
            <s xml:id="echoid-s8131" xml:space="preserve">verſu; </s>
            <s xml:id="echoid-s8132" xml:space="preserve">ſic motus horarius longitudinis ſiue vnius horæ eſt, Si.</s>
            <s xml:id="echoid-s8133" xml:space="preserve">o.</s>
            <s xml:id="echoid-s8134" xml:space="preserve">Gr.</s>
            <s xml:id="echoid-s8135" xml:space="preserve">o. </s>
            <s xml:id="echoid-s8136" xml:space="preserve">331 hora-
              <lb/>
            rius anomaliæ eſt. </s>
            <s xml:id="echoid-s8137" xml:space="preserve">Sig o. </s>
            <s xml:id="echoid-s8138" xml:space="preserve">Gra. </s>
            <s xml:id="echoid-s8139" xml:space="preserve">32′. </s>
            <s xml:id="echoid-s8140" xml:space="preserve">&</s>
            <s xml:id="echoid-s8141" xml:space="preserve">c. </s>
            <s xml:id="echoid-s8142" xml:space="preserve">hunc motum horarium duplicant, eumque ſcribuntè regione dua-
              <lb/>
            rum horarum. </s>
            <s xml:id="echoid-s8143" xml:space="preserve">triplicant pro tribus horis, & </s>
            <s xml:id="echoid-s8144" xml:space="preserve">ſic deinceps, donec confletur motus 24. </s>
            <s xml:id="echoid-s8145" xml:space="preserve">horar. </s>
            <s xml:id="echoid-s8146" xml:space="preserve">ideſt vnius diei. </s>
            <s xml:id="echoid-s8147" xml:space="preserve">
              <lb/>
            Porro ijdem numeri motuum reſpõdent etiam minutis horarum, quatenus ſubſtant his characteribus G.</s>
            <s xml:id="echoid-s8148" xml:space="preserve">′.</s>
            <s xml:id="echoid-s8149" xml:space="preserve">″. </s>
            <s xml:id="echoid-s8150" xml:space="preserve">
              <lb/>
            è regione vocabuli min. </s>
            <s xml:id="echoid-s8151" xml:space="preserve">& </s>
            <s xml:id="echoid-s8152" xml:space="preserve">2. </s>
            <s xml:id="echoid-s8153" xml:space="preserve">verſu ſcriptis; </s>
            <s xml:id="echoid-s8154" xml:space="preserve">quia quatenus afficiuntur iſtis characteribus, fiunt ſexageſimæ
              <lb/>
            ſui ipſarum exiſtentium ſub charact. </s>
            <s xml:id="echoid-s8155" xml:space="preserve">prioris verſus, ideſt, qui erant gradus, fiunt minuta: </s>
            <s xml:id="echoid-s8156" xml:space="preserve">& </s>
            <s xml:id="echoid-s8157" xml:space="preserve">quæ minuta, fiunt
              <lb/>
            ″. </s>
            <s xml:id="echoid-s8158" xml:space="preserve">pariter min. </s>
            <s xml:id="echoid-s8159" xml:space="preserve">horarum ſunt ſexageſimæ horarum; </s>
            <s xml:id="echoid-s8160" xml:space="preserve">quapropter vt ſe habent horæ ad min. </s>
            <s xml:id="echoid-s8161" xml:space="preserve">ſic ijdem numeri
              <lb/>
            ſub primis characteribus, ad ſe ipſos ſub ſecundis characteribus.</s>
            <s xml:id="echoid-s8162" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div164" type="section" level="1" n="103">
          <head xml:id="echoid-head113" style="it" xml:space="preserve">De ſecunda Tabula dierum.</head>
          <p>
            <s xml:id="echoid-s8163" xml:space="preserve">QVæcumque dicta ſunt de prima Tabula, applicari debent etiam reliquis. </s>
            <s xml:id="echoid-s8164" xml:space="preserve">hæc autem ſecunda continet
              <lb/>
            eoſdem motus medios diarios, quos prima horarios habet in prima ſerie ſunt dies 31. </s>
            <s xml:id="echoid-s8165" xml:space="preserve">quorum ſingu-
              <lb/>
            lis in directum reſpondent motus trium columnarum. </s>
            <s xml:id="echoid-s8166" xml:space="preserve">Et conſtructa eſt prædicta methodo, motus
              <lb/>
            enim diurni ſibi ipſis additi ſunt à primo die, vſq; </s>
            <s xml:id="echoid-s8167" xml:space="preserve">ad vltimum, vt conflentur motus menſtrui. </s>
            <s xml:id="echoid-s8168" xml:space="preserve">hi autem dies
              <lb/>
            incipiunt a meridie, & </s>
            <s xml:id="echoid-s8169" xml:space="preserve">in meridie deſinunt, vt ſupra dixi & </s>
            <s xml:id="echoid-s8170" xml:space="preserve">infra de radicibus dicam.</s>
            <s xml:id="echoid-s8171" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div165" type="section" level="1" n="104">
          <head xml:id="echoid-head114" style="it" xml:space="preserve">De tertia Tabula menſium.</head>
          <p>
            <s xml:id="echoid-s8172" xml:space="preserve">COntinet hæc eoſdem motus medios, ſed menſtruos, ideſt, quos Luna efficit ſpacijs menſtruis. </s>
            <s xml:id="echoid-s8173" xml:space="preserve">conſtrui-
              <lb/>
            tur autem hæc ex tabula dierum; </s>
            <s xml:id="echoid-s8174" xml:space="preserve">ſic vides lanuarium habere motũ longit. </s>
            <s xml:id="echoid-s8175" xml:space="preserve">ſig. </s>
            <s xml:id="echoid-s8176" xml:space="preserve">1. </s>
            <s xml:id="echoid-s8177" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8178" xml:space="preserve">18. </s>
            <s xml:id="echoid-s8179" xml:space="preserve">28′. </s>
            <s xml:id="echoid-s8180" xml:space="preserve">qui eſt idem,
              <lb/>
            ad dierum 31. </s>
            <s xml:id="echoid-s8181" xml:space="preserve">Februarius habet motum qui debetur diebus 29. </s>
            <s xml:id="echoid-s8182" xml:space="preserve">& </s>
            <s xml:id="echoid-s8183" xml:space="preserve">ſic reliqui numeri reſpondent vltimo diei
              <lb/>
            menſis; </s>
            <s xml:id="echoid-s8184" xml:space="preserve">ita vt numerus vltimus è regione Decembris, ſit motus vnius anni. </s>
            <s xml:id="echoid-s8185" xml:space="preserve">eſt autẽ tabula diuiſa in duas par-
              <lb/>
            tes, in prima ſunt menſes anni communis. </s>
            <s xml:id="echoid-s8186" xml:space="preserve">in ſecunda menſes anni Biſſextilis. </s>
            <s xml:id="echoid-s8187" xml:space="preserve">reliqua ſolertiæ lectoris relin-
              <lb/>
            quuntur. </s>
            <s xml:id="echoid-s8188" xml:space="preserve">De Biſſexto agam in anno ſolari.</s>
            <s xml:id="echoid-s8189" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div166" type="section" level="1" n="105">
          <head xml:id="echoid-head115" style="it" xml:space="preserve">De quarta Tabula Annorum.</head>
          <p>
            <s xml:id="echoid-s8190" xml:space="preserve">HÆc diuiſa eſt in tres partes, vt ex titulis eius conſtat. </s>
            <s xml:id="echoid-s8191" xml:space="preserve">in prima ſunt motus debiti ſingulis annis vſque ad
              <lb/>
            20. </s>
            <s xml:id="echoid-s8192" xml:space="preserve">quorum quartus quiſque eſt Biſſextilis, vt indicat littera B. </s>
            <s xml:id="echoid-s8193" xml:space="preserve">illis præſcripta. </s>
            <s xml:id="echoid-s8194" xml:space="preserve">in ſecunda ſunt anni ag-
              <lb/>
            gregati. </s>
            <s xml:id="echoid-s8195" xml:space="preserve">Primo per annorum vicenas, vſque ad 100. </s>
            <s xml:id="echoid-s8196" xml:space="preserve">deinde per annorum centurias vſque ad 1000. </s>
            <s xml:id="echoid-s8197" xml:space="preserve">ex his enim
              <lb/>
            omnibus, omnes anni ſuppleri poſſunt. </s>
            <s xml:id="echoid-s8198" xml:space="preserve">Cõſtructio eius pendet ex tabula menſium; </s>
            <s xml:id="echoid-s8199" xml:space="preserve">ſic vides è regione primi
              <lb/>
            anni qui eſt communis, ſcrptum eſſe motum annuum qui vltimo diei Decembris anni pariter adſcriptus eſt,
              <lb/>
            ſcilicet ſig. </s>
            <s xml:id="echoid-s8200" xml:space="preserve">4. </s>
            <s xml:id="echoid-s8201" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8202" xml:space="preserve">9. </s>
            <s xml:id="echoid-s8203" xml:space="preserve">23′. </s>
            <s xml:id="echoid-s8204" xml:space="preserve">pro longitudine, ſed pro Anomalia ſig. </s>
            <s xml:id="echoid-s8205" xml:space="preserve">2. </s>
            <s xml:id="echoid-s8206" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8207" xml:space="preserve">28. </s>
            <s xml:id="echoid-s8208" xml:space="preserve">43′. </s>
            <s xml:id="echoid-s8209" xml:space="preserve">tandẽ pro Nodo ſig. </s>
            <s xml:id="echoid-s8210" xml:space="preserve">o. </s>
            <s xml:id="echoid-s8211" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8212" xml:space="preserve">19. </s>
            <s xml:id="echoid-s8213" xml:space="preserve">20′. </s>
            <s xml:id="echoid-s8214" xml:space="preserve">in
              <lb/>
            tertia ſunt radices prædictorum motuum ad an. </s>
            <s xml:id="echoid-s8215" xml:space="preserve">Chriſti 1600. </s>
            <s xml:id="echoid-s8216" xml:space="preserve">quæ nihil aliud ſunt quam prædicti motus me-
              <lb/>
            dij, in fine illius ſæculi definiti, ac præfixi; </s>
            <s xml:id="echoid-s8217" xml:space="preserve">vt ab illis, tanquam à radicibus. </s>
            <s xml:id="echoid-s8218" xml:space="preserve">motus ſucce-
              <lb/>
              <note position="right" xlink:label="note-0101-01" xlink:href="note-0101-01a" xml:space="preserve">
                <lb/>
              ### Sig. grad.
                <lb/>
              6. # 18. # 30.
                <lb/>
              0. # 6. # 40.
                <lb/>
              6. # 25. # 10.
                <lb/>
              ## Anoma. media\\ an. 1700. cõpleti
                <lb/>
              </note>
            dentium temporũ deriuari queant. </s>
            <s xml:id="echoid-s8219" xml:space="preserve">Tabulæ enim medij motus oſtendunt quantitates mo-
              <lb/>
            tuum reſpondentes temporibus indefinitis, & </s>
            <s xml:id="echoid-s8220" xml:space="preserve">indeterminatis v.</s>
            <s xml:id="echoid-s8221" xml:space="preserve">g. </s>
            <s xml:id="echoid-s8222" xml:space="preserve">oſtendunt motum ano-
              <lb/>
            maliæ reſpondentem annis centum indefinitis. </s>
            <s xml:id="echoid-s8223" xml:space="preserve">ſi vero anni 100. </s>
            <s xml:id="echoid-s8224" xml:space="preserve">ſumantur cum ſuo motu
              <lb/>
            Anomaliæ, qui eſt fig. </s>
            <s xml:id="echoid-s8225" xml:space="preserve">6. </s>
            <s xml:id="echoid-s8226" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8227" xml:space="preserve">18.</s>
            <s xml:id="echoid-s8228" xml:space="preserve">30′. </s>
            <s xml:id="echoid-s8229" xml:space="preserve">ita vt hoc tẽpus ſequatur poſt an. </s>
            <s xml:id="echoid-s8230" xml:space="preserve">1600. </s>
            <s xml:id="echoid-s8231" xml:space="preserve">vt efficiantur an.
              <lb/>
            </s>
            <s xml:id="echoid-s8232" xml:space="preserve">1700. </s>
            <s xml:id="echoid-s8233" xml:space="preserve">& </s>
            <s xml:id="echoid-s8234" xml:space="preserve">pariter motus horum 100. </s>
            <s xml:id="echoid-s8235" xml:space="preserve">an. </s>
            <s xml:id="echoid-s8236" xml:space="preserve">ſequatur, & </s>
            <s xml:id="echoid-s8237" xml:space="preserve">quaſi oriatur à radice eiuſdẽ Anomaliæ,
              <lb/>
            quæ eſt ſig. </s>
            <s xml:id="echoid-s8238" xml:space="preserve">o. </s>
            <s xml:id="echoid-s8239" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8240" xml:space="preserve">6. </s>
            <s xml:id="echoid-s8241" xml:space="preserve">40′. </s>
            <s xml:id="echoid-s8242" xml:space="preserve">conflabitur motus medius Anom. </s>
            <s xml:id="echoid-s8243" xml:space="preserve">qui debetur an. </s>
            <s xml:id="echoid-s8244" xml:space="preserve">Chriſti completo
              <lb/>
            1700. </s>
            <s xml:id="echoid-s8245" xml:space="preserve">hic autem erit ſig. </s>
            <s xml:id="echoid-s8246" xml:space="preserve">6. </s>
            <s xml:id="echoid-s8247" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8248" xml:space="preserve">25. </s>
            <s xml:id="echoid-s8249" xml:space="preserve">10′. </s>
            <s xml:id="echoid-s8250" xml:space="preserve">ideſt Luna effecerit in periphetia epicy. </s>
            <s xml:id="echoid-s8251" xml:space="preserve">incipiendo ab
              <lb/>
            Apogeo 6. </s>
            <s xml:id="echoid-s8252" xml:space="preserve">ſigna, & </s>
            <s xml:id="echoid-s8253" xml:space="preserve">25. </s>
            <s xml:id="echoid-s8254" xml:space="preserve">gradus & </s>
            <s xml:id="echoid-s8255" xml:space="preserve">10′. </s>
            <s xml:id="echoid-s8256" xml:space="preserve">quare tranſactum erit perigęum per gr. </s>
            <s xml:id="echoid-s8257" xml:space="preserve">25. </s>
            <s xml:id="echoid-s8258" xml:space="preserve">10′. </s>
            <s xml:id="echoid-s8259" xml:space="preserve">vides igitur qua ratione
              <lb/>
            rempora, & </s>
            <s xml:id="echoid-s8260" xml:space="preserve">motus indefinita beneficio radicum deſini
              <unsure/>
            antur, ac determinentur.</s>
            <s xml:id="echoid-s8261" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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