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-div580" type="section" level="1" n="425">
          <p>
            <s xml:id="echoid-s21390" xml:space="preserve">
              <pb o="17" file="0271" n="276" rhead="DE HOROLOGIIS."/>
            altam ſupra horizontem gr. </s>
            <s xml:id="echoid-s21391" xml:space="preserve">9. </s>
            <s xml:id="echoid-s21392" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21393" xml:space="preserve">21. </s>
            <s xml:id="echoid-s21394" xml:space="preserve">Pariter gr. </s>
            <s xml:id="echoid-s21395" xml:space="preserve">9. </s>
            <s xml:id="echoid-s21396" xml:space="preserve">27. </s>
            <s xml:id="echoid-s21397" xml:space="preserve">qui ſequuntur in eadem columna, ſuntque in
              <lb/>
            directum ſecundi verſus anni, in quo eſt paralellus per gr. </s>
            <s xml:id="echoid-s21398" xml:space="preserve">15. </s>
            <s xml:id="echoid-s21399" xml:space="preserve">0′. </s>
            <s xml:id="echoid-s21400" xml:space="preserve">♊. </s>
            <s xml:id="echoid-s21401" xml:space="preserve">& </s>
            <s xml:id="echoid-s21402" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s21403" xml:space="preserve">denotant altitudinem Solis
              <lb/>
            hora 23. </s>
            <s xml:id="echoid-s21404" xml:space="preserve">in eo exiſtentis. </s>
            <s xml:id="echoid-s21405" xml:space="preserve">quod ſi rectà perga@ per quartum verſum Tabulæ, qui proximè eſt ſub tertio
              <lb/>
            verſu graduum, & </s>
            <s xml:id="echoid-s21406" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21407" xml:space="preserve">quiq; </s>
            <s xml:id="echoid-s21408" xml:space="preserve">continet verſum primi paralelli, ſeu ♋. </s>
            <s xml:id="echoid-s21409" xml:space="preserve">habebis omnes alritudines om-
              <lb/>
            nium horarum in tropico ♋. </s>
            <s xml:id="echoid-s21410" xml:space="preserve">pariter in ſequenti quinto verſu habebis altitudines omnium horarum
              <lb/>
            in paralello per gr. </s>
            <s xml:id="echoid-s21411" xml:space="preserve">15. </s>
            <s xml:id="echoid-s21412" xml:space="preserve">@′. </s>
            <s xml:id="echoid-s21413" xml:space="preserve">Cancri. </s>
            <s xml:id="echoid-s21414" xml:space="preserve">ſic etiam in ſexto reperies altitudines in paralello per gr. </s>
            <s xml:id="echoid-s21415" xml:space="preserve">24. </s>
            <s xml:id="echoid-s21416" xml:space="preserve">25. </s>
            <s xml:id="echoid-s21417" xml:space="preserve">eiuſ-
              <lb/>
            dem Cancri, qui eſt arcus diurnus horarum 15. </s>
            <s xml:id="echoid-s21418" xml:space="preserve">& </s>
            <s xml:id="echoid-s21419" xml:space="preserve">ſic de alijs.</s>
            <s xml:id="echoid-s21420" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21421" xml:space="preserve">Porrò ſecunda hæc pars Tabulæ, quæ ſcilicet continet prædictas altitudines, ſubdiuiditur in tres
              <lb/>
            partes. </s>
            <s xml:id="echoid-s21422" xml:space="preserve">in partem antemeridianam, & </s>
            <s xml:id="echoid-s21423" xml:space="preserve">pomeridianam a linea ſcalari, quæ incedit inter maximas alti-
              <lb/>
            tudines Tabulæ. </s>
            <s xml:id="echoid-s21424" xml:space="preserve">& </s>
            <s xml:id="echoid-s21425" xml:space="preserve">meridianam, quæ conſtat vnica columna, cui titulus eſt, altit. </s>
            <s xml:id="echoid-s21426" xml:space="preserve">merid. </s>
            <s xml:id="echoid-s21427" xml:space="preserve">numeri enim
              <lb/>
            graduum, & </s>
            <s xml:id="echoid-s21428" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21429" xml:space="preserve">eius indicant altitudines Solis meridianas in paralellis quibuſcum ſunt in ijſdem
              <lb/>
            verſibus; </s>
            <s xml:id="echoid-s21430" xml:space="preserve">ſic gr. </s>
            <s xml:id="echoid-s21431" xml:space="preserve">69. </s>
            <s xml:id="echoid-s21432" xml:space="preserve">0′. </s>
            <s xml:id="echoid-s21433" xml:space="preserve">ſunt altitudo Solis meridiana in tropico ♋.</s>
            <s xml:id="echoid-s21434" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21435" xml:space="preserve">Tert@a, & </s>
            <s xml:id="echoid-s21436" xml:space="preserve">vltima pars Tabulæ continet vltimas 4. </s>
            <s xml:id="echoid-s21437" xml:space="preserve">columnas continuantes eoſdem prædictos ver-
              <lb/>
              <note position="right" xlink:label="note-0271-01" xlink:href="note-0271-01a" xml:space="preserve">Tertia
                <lb/>
              pi
                <unsure/>
              rs tabu
                <lb/>
              læ in quæ
                <lb/>
              Var@a tẽ-
                <lb/>
              pora.</note>
            ſus, ijſdemq; </s>
            <s xml:id="echoid-s21438" xml:space="preserve">reſpondentes; </s>
            <s xml:id="echoid-s21439" xml:space="preserve">quæ appellari poſſunt temporales, quòd varia tempora contineant, earũ
              <lb/>
            tituli manifeſtant. </s>
            <s xml:id="echoid-s21440" xml:space="preserve">igitur ſub his titulis tempus diurnum, & </s>
            <s xml:id="echoid-s21441" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s21442" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21443" xml:space="preserve">numeri 15. </s>
            <s xml:id="echoid-s21444" xml:space="preserve">22′. </s>
            <s xml:id="echoid-s21445" xml:space="preserve">ideſt, horæ 15.
              <lb/>
            </s>
            <s xml:id="echoid-s21446" xml:space="preserve">22′. </s>
            <s xml:id="echoid-s21447" xml:space="preserve">ſignificant tempus diurnum tropici ♋. </s>
            <s xml:id="echoid-s21448" xml:space="preserve">continere totidem horas, & </s>
            <s xml:id="echoid-s21449" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21450" xml:space="preserve">eſt enim in eodem ver-
              <lb/>
            ſu cum eo.</s>
            <s xml:id="echoid-s21451" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21452" xml:space="preserve">Tertia exhibet tempus nocturnum, vnaq; </s>
            <s xml:id="echoid-s21453" xml:space="preserve">tempus ortus Solis; </s>
            <s xml:id="echoid-s21454" xml:space="preserve">quapropter hor. </s>
            <s xml:id="echoid-s21455" xml:space="preserve">8. </s>
            <s xml:id="echoid-s21456" xml:space="preserve">38′. </s>
            <s xml:id="echoid-s21457" xml:space="preserve">in verſu ♋. </s>
            <s xml:id="echoid-s21458" xml:space="preserve">eſt
              <lb/>
            @empus nocturnum illius paralelli, in quo etiam Sol oritur hora 8. </s>
            <s xml:id="echoid-s21459" xml:space="preserve">38′. </s>
            <s xml:id="echoid-s21460" xml:space="preserve">eodem modo de cęteris colum-
              <lb/>
            nis, necnon earum verſibus intelligas, quæ tamen melius partim ex vſu Tabulæ, partim ex eius con-
              <lb/>
            ſtructione percipientur.</s>
            <s xml:id="echoid-s21461" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21462" xml:space="preserve">Quoniam verò conſtructio eius prolixior eſt, ideo ne præcipuus finis noſter, qui eſt Horologij
              <lb/>
            propoſiti deſcriptio interrumpatur, eam in fine reijciemus. </s>
            <s xml:id="echoid-s21463" xml:space="preserve">eius tamen vſus maximè in Horologij
              <lb/>
            delineatione de qua nunc dicemus, apparebit.</s>
            <s xml:id="echoid-s21464" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div585" type="section" level="1" n="426">
          <head xml:id="echoid-head451" style="it" xml:space="preserve">DESCRIPTIO HOROLOGII
            <lb/>
          per præcedentem Tabulam.</head>
          <p>
            <s xml:id="echoid-s21465" xml:space="preserve">1 IN plana quapiam ſuperficie, vt in charta regali, deſcribatur primo ex centro A. </s>
            <s xml:id="echoid-s21466" xml:space="preserve">quadrans A B C.
              <lb/>
            </s>
            <s xml:id="echoid-s21467" xml:space="preserve">
              <note position="right" xlink:label="note-0271-02" xlink:href="note-0271-02a" xml:space="preserve">15. figu-
                <lb/>
              ra.</note>
            quantus ferè eſt in figura 15. </s>
            <s xml:id="echoid-s21468" xml:space="preserve">cuius arcus C B. </s>
            <s xml:id="echoid-s21469" xml:space="preserve">diuidatur (per primã prop. </s>
            <s xml:id="echoid-s21470" xml:space="preserve">noſtræ Sphæræ) in gr.
              <lb/>
            </s>
            <s xml:id="echoid-s21471" xml:space="preserve">90. </s>
            <s xml:id="echoid-s21472" xml:space="preserve">initio facto in C. </s>
            <s xml:id="echoid-s21473" xml:space="preserve">intra quem alij duo ſint quadrantes ei proximi ex eodem centro A. </s>
            <s xml:id="echoid-s21474" xml:space="preserve">vt apparet in
              <lb/>
            figura. </s>
            <s xml:id="echoid-s21475" xml:space="preserve">Latus A C. </s>
            <s xml:id="echoid-s21476" xml:space="preserve">ſumatur pro linea horizontali; </s>
            <s xml:id="echoid-s21477" xml:space="preserve">in qua pars D E. </s>
            <s xml:id="echoid-s21478" xml:space="preserve">ſit tanta ferè quanta eſt in figura. </s>
            <s xml:id="echoid-s21479" xml:space="preserve">
              <lb/>
            dico ferè, quia quantitates hę ſunt ad libitum, comodiores tamen vt in figura. </s>
            <s xml:id="echoid-s21480" xml:space="preserve">obſeruaui totã A C. </s>
            <s xml:id="echoid-s21481" xml:space="preserve">di-
              <lb/>
            uiſam eſſe in partes 9. </s>
            <s xml:id="echoid-s21482" xml:space="preserve">æquales, quarum duæ ſunt in A D. </s>
            <s xml:id="echoid-s21483" xml:space="preserve">ſex in ipſa D E. </s>
            <s xml:id="echoid-s21484" xml:space="preserve">vna in E C. </s>
            <s xml:id="echoid-s21485" xml:space="preserve">Iam ab ipſa D E. </s>
            <s xml:id="echoid-s21486" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0271-03" xlink:href="note-0271-03a" xml:space="preserve">Parale@i
                <lb/>
              horologij.</note>
            ducantur 19. </s>
            <s xml:id="echoid-s21487" xml:space="preserve">paralelli, ſeu lineæ paralellæ æqualibus interuallis; </s>
            <s xml:id="echoid-s21488" xml:space="preserve">quot ſcilicet ſunt in Zodiaco, ſeu in
              <lb/>
            Anno Tabulæ altitudinum (quamuis non ſit neceſſe eſſe paralellas, nec ſpatia æqualia.) </s>
            <s xml:id="echoid-s21489" xml:space="preserve">Porrò hi pa-
              <lb/>
            ralelli habent miram connexionem cum paralellis Tabulæ altit. </s>
            <s xml:id="echoid-s21490" xml:space="preserve">in h@ſce enim paralellis notãdæ ſunt
              <lb/>
            altitudines paralellorum Tabulæ; </s>
            <s xml:id="echoid-s21491" xml:space="preserve">nam in paralello D F. </s>
            <s xml:id="echoid-s21492" xml:space="preserve">Horolog@j referente tropicum ♋. </s>
            <s xml:id="echoid-s21493" xml:space="preserve">notandæ
              <lb/>
            ſunt altitudines horarum poſitæ in verſu Tabulæ in quo eſt paralellus per initium ♋. </s>
            <s xml:id="echoid-s21494" xml:space="preserve">qui eſt tropi-
              <lb/>
            cus. </s>
            <s xml:id="echoid-s21495" xml:space="preserve">in ſecundo paralello notandæ ſunt altitudines ſecundi paralelli Tab. </s>
            <s xml:id="echoid-s21496" xml:space="preserve">qui eſt per gr. </s>
            <s xml:id="echoid-s21497" xml:space="preserve">15 0′. </s>
            <s xml:id="echoid-s21498" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s21499" xml:space="preserve">quo-
              <lb/>
            cum ſunt in eodem verſu. </s>
            <s xml:id="echoid-s21500" xml:space="preserve">in tertio notandæ ſunt in altit. </s>
            <s xml:id="echoid-s21501" xml:space="preserve">tertij paralelli per gr. </s>
            <s xml:id="echoid-s21502" xml:space="preserve">24. </s>
            <s xml:id="echoid-s21503" xml:space="preserve">25′. </s>
            <s xml:id="echoid-s21504" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s21505" xml:space="preserve">ſeu arcus
              <lb/>
            diurni horarum 15. </s>
            <s xml:id="echoid-s21506" xml:space="preserve">in quo Sol oritur hora 9. </s>
            <s xml:id="echoid-s21507" xml:space="preserve">& </s>
            <s xml:id="echoid-s21508" xml:space="preserve">ideo punctum primum horæ 9. </s>
            <s xml:id="echoid-s21509" xml:space="preserve">erit illud in linea ho-
              <lb/>
            rizontali, a quo ducitur tertius hic paralellus. </s>
            <s xml:id="echoid-s21510" xml:space="preserve">Quartus paralellus Horol. </s>
            <s xml:id="echoid-s21511" xml:space="preserve">competit paralello Tabulę
              <lb/>
            per initium Leonis. </s>
            <s xml:id="echoid-s21512" xml:space="preserve">& </s>
            <s xml:id="echoid-s21513" xml:space="preserve">fic deinceps de reliquis. </s>
            <s xml:id="echoid-s21514" xml:space="preserve">quapropter medius paralellus erit æquator. </s>
            <s xml:id="echoid-s21515" xml:space="preserve">vltimus
              <lb/>
            vero E G. </s>
            <s xml:id="echoid-s21516" xml:space="preserve">erit pro tropico ♑. </s>
            <s xml:id="echoid-s21517" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s21518" xml:space="preserve">in eo notabuntur altitudines vltimi paralelli Tabulæ, quę ſcilicet
              <lb/>
            ſunt in vltimo verſu Tabulæ cum eo. </s>
            <s xml:id="echoid-s21519" xml:space="preserve">Vltimo obſeruandum eſt, vt paralelli per initia ſignorum ſint
              <lb/>
            lineæ cęteris craſſiores; </s>
            <s xml:id="echoid-s21520" xml:space="preserve">vt in ſigura. </s>
            <s xml:id="echoid-s21521" xml:space="preserve">primi eorum tres ſunt in ♋. </s>
            <s xml:id="echoid-s21522" xml:space="preserve">alij tres ſunt in ♌. </s>
            <s xml:id="echoid-s21523" xml:space="preserve">alij tres ſunt in ♍.
              <lb/>
            </s>
            <s xml:id="echoid-s21524" xml:space="preserve">&</s>
            <s xml:id="echoid-s21525" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21526" xml:space="preserve">vt ſuperpoſiti characteres ſignorum indicant.</s>
            <s xml:id="echoid-s21527" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21528" xml:space="preserve">2 Adſit regula ex tenui lamina, latere quadrantis paulò longior, ſimilis huic depictæ in figura 16.
              <lb/>
            </s>
            <s xml:id="echoid-s21529" xml:space="preserve">
              <note position="right" xlink:label="note-0271-04" xlink:href="note-0271-04a" xml:space="preserve">Regula
                <lb/>
              mobilis.</note>
            cuius latus fiduciæ ſit A B. </s>
            <s xml:id="echoid-s21530" xml:space="preserve">in puncto A. </s>
            <s xml:id="echoid-s21531" xml:space="preserve">ſit paruum foramen. </s>
            <s xml:id="echoid-s21532" xml:space="preserve">vtile autem fuerit ſi latus A B. </s>
            <s xml:id="echoid-s21533" xml:space="preserve">ſit ſuper-
              <lb/>
            nè exangulatum (quod vulgò dicitur ſmuſſato) ſic enim linea fiduciæ A B. </s>
            <s xml:id="echoid-s21534" xml:space="preserve">exactius oſten det quæſi-
              <lb/>
              <note position="right" xlink:label="note-0271-05" xlink:href="note-0271-05a" xml:space="preserve">Figura
                <lb/>
              16.</note>
            ta puncta. </s>
            <s xml:id="echoid-s21535" xml:space="preserve">hęc regula ponenda eſt ſupra quadrantem, vt eius foramen A. </s>
            <s xml:id="echoid-s21536" xml:space="preserve">exactè congruat centro qua.
              <lb/>
            </s>
            <s xml:id="echoid-s21537" xml:space="preserve">drantis: </s>
            <s xml:id="echoid-s21538" xml:space="preserve">aciculaq; </s>
            <s xml:id="echoid-s21539" xml:space="preserve">per foramen, centrumq; </s>
            <s xml:id="echoid-s21540" xml:space="preserve">quadrantis immiſſa, ita configatur, vt circa hoc centrum
              <lb/>
            linea fiduciæ moueri poſſit ad quemlibet quadrantis gradum.</s>
            <s xml:id="echoid-s21541" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21542" xml:space="preserve">3 His paratis, primo loco, in Horologio deſcribendus eſt annus ex anno Tabulæ, ideſt characte-
              <lb/>
              <note position="right" xlink:label="note-0271-06" xlink:href="note-0271-06a" xml:space="preserve">Annid@.
                <lb/>
              ſcripti@.</note>
            res ſignorum Zodiaci, & </s>
            <s xml:id="echoid-s21543" xml:space="preserve">Menſes ſuis ſignis correſpondentes, ſicuti correſpondentin Tabula. </s>
            <s xml:id="echoid-s21544" xml:space="preserve">Chara-
              <lb/>
            cteres igitur Signorum ponendi iuxta paralellos ſibi debitos, ſeu reſpondentes paralellis tabulæ ſibi
              <lb/>
            debitis: </s>
            <s xml:id="echoid-s21545" xml:space="preserve">hoc ordine: </s>
            <s xml:id="echoid-s21546" xml:space="preserve">ſupra lineam horizontalem ſint duo ſpatia in quorum inferiori ponantur ſex
              <lb/>
            characteres ♋. </s>
            <s xml:id="echoid-s21547" xml:space="preserve">♌. </s>
            <s xml:id="echoid-s21548" xml:space="preserve">♍, &</s>
            <s xml:id="echoid-s21549" xml:space="preserve">c in altero ponantur Menſes, & </s>
            <s xml:id="echoid-s21550" xml:space="preserve">partes Menſium reſpondentes Signis, & </s>
            <s xml:id="echoid-s21551" xml:space="preserve">par-
              <lb/>
            @ibus Signorum. </s>
            <s xml:id="echoid-s21552" xml:space="preserve">ſimiliter in interiori ſpatio, quod eſt inter duos arcus quadratum ponantur reliquo
              <lb/>
            ſex ſigna ♑. </s>
            <s xml:id="echoid-s21553" xml:space="preserve">♒, &</s>
            <s xml:id="echoid-s21554" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21555" xml:space="preserve">& </s>
            <s xml:id="echoid-s21556" xml:space="preserve">in altero ſpatio exteriori ponantur eorum Menſes, & </s>
            <s xml:id="echoid-s21557" xml:space="preserve">partes Menſium, ſicuti
              <lb/>
            figura indicat. </s>
            <s xml:id="echoid-s21558" xml:space="preserve">ſic 22. </s>
            <s xml:id="echoid-s21559" xml:space="preserve">dies Iunij reſpondet tropico ♋, &</s>
            <s xml:id="echoid-s21560" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21561" xml:space="preserve">ſicut annus tabulæ monet.</s>
            <s xml:id="echoid-s21562" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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