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-div23" type="section" level="1" n="16">
          <p>
            <s xml:id="echoid-s910" xml:space="preserve">
              <pb o="6" file="0022" n="22" rhead="Apparatus ad Sphœram."/>
            polus Arcticus; </s>
            <s xml:id="echoid-s911" xml:space="preserve">Item vero Antarcticus: </s>
            <s xml:id="echoid-s912" xml:space="preserve">eritq; </s>
            <s xml:id="echoid-s913" xml:space="preserve">totus Zodiacus, in quatuor æquas partesà Coluris diſſectus.</s>
            <s xml:id="echoid-s914" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s915" xml:space="preserve">Quoniam vero prædicti circuli omnes materialem craſſitiem habent aliquam, quam tamen habere mini-
              <lb/>
            mè deberent, cũ circulos Geometricos referant, qui lineæ ſunt ſecundum longitudinem impartibiles, ideſt
              <lb/>
            non poſſunt ſcindi per longum; </s>
            <s xml:id="echoid-s916" xml:space="preserve">ideo per mediũ ſingulorum ſecundum longitudinem deſcribendæ ſunt li-
              <lb/>
            neæ circulares, quæ eos ſecundum longitudinem bifariam ſecent, qui circuli in Æquatore, Tropicis, & </s>
            <s xml:id="echoid-s917" xml:space="preserve">Po-
              <lb/>
            laribus deſcribẽdi ſunt ex polis Mundi tanquam ex centris; </s>
            <s xml:id="echoid-s918" xml:space="preserve">in Coluris vero ex ſectionibus eorũ cum Æqua-
              <lb/>
            tore: </s>
            <s xml:id="echoid-s919" xml:space="preserve">Hæ enim peripheriæ lineares melius repræſentant cæleſtes circulos. </s>
            <s xml:id="echoid-s920" xml:space="preserve">poſtea Æquator diuidendus eſt
              <lb/>
            per primam huius in partes 360. </s>
            <s xml:id="echoid-s921" xml:space="preserve">quę tempora appellantur, numeri ſaltem ſingulis denis aſcribendi facto ini-
              <lb/>
            tio à,
              <unsure/>
            communi ſectione eius cum Eclyptica, & </s>
            <s xml:id="echoid-s922" xml:space="preserve">procedendo ſecundum ordinem ſignorum Zodiaci, ſicque
              <lb/>
            pars nonageſima Æquatoris erit in Coluro ſolſticiorum, diſtans à Cancro gr. </s>
            <s xml:id="echoid-s923" xml:space="preserve">23. </s>
            <s xml:id="echoid-s924" xml:space="preserve">{1/2}. </s>
            <s xml:id="echoid-s925" xml:space="preserve">& </s>
            <s xml:id="echoid-s926" xml:space="preserve">c.</s>
            <s xml:id="echoid-s927" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s928" xml:space="preserve">Atque hæc circulorum compago aptè dici poteſt primum mobile, hi enim circuli in primo mobili eſſe
              <lb/>
            concipiuntur.</s>
            <s xml:id="echoid-s929" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s930" xml:space="preserve">Nunc alius circulus, qui Meridianus dicitur parandus eſt tantæ magnitudinis; </s>
            <s xml:id="echoid-s931" xml:space="preserve">vt concauum eius prædi-
              <lb/>
            ctum mobile complectatur, non tamen ita arctè, quin intra ipſum moueri illud queat, quare in duobus ex
              <lb/>
            diametro foraminibus in ipſo factis, axis mundi exeratur, vt circa ipſum primum mobile liberè conuerti
              <lb/>
            poſſit. </s>
            <s xml:id="echoid-s932" xml:space="preserve">valde autem è re eſſet, ſi vna eius Meridiani ſuperficies lateris, ita introrſum per circuitum excaue-
              <lb/>
            retur, vt eius concaua peripheria præcisè per mediam longitudinem ipſius Meridiani gyrans, etiam per
              <lb/>
            Mundi polos tranſiret. </s>
            <s xml:id="echoid-s933" xml:space="preserve">diuidendus autem eſt ex haci e
              <unsure/>
            adem parte in gr. </s>
            <s xml:id="echoid-s934" xml:space="preserve">360. </s>
            <s xml:id="echoid-s935" xml:space="preserve">Quorum numeri debent à polis
              <lb/>
            incipere, & </s>
            <s xml:id="echoid-s936" xml:space="preserve">ad Aequatorem vſque creſcere, vt in Aequatore ſit gr. </s>
            <s xml:id="echoid-s937" xml:space="preserve">90. </s>
            <s xml:id="echoid-s938" xml:space="preserve">communis vtriſq; </s>
            <s xml:id="echoid-s939" xml:space="preserve">numerationibus.</s>
            <s xml:id="echoid-s940" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s941" xml:space="preserve">Reſtat vltimo loco Horizon, qui tantæ magnitudinis fabricandus eſt, vt concauum eius æquale omnino
              <lb/>
              <figure xlink:label="fig-0022-01" xlink:href="fig-0022-01a" number="10">
                <image file="0022-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0022-01"/>
              </figure>
            ſit concauo Meridiani, habeatq; </s>
            <s xml:id="echoid-s942" xml:space="preserve">latitudinem, non ſecun-
              <lb/>
            dum concauum aut conuexum, ſed ſecundum lateralem
              <lb/>
            ſuperficiem tantum, vt in ea Mundi plagæ ventiq; </s>
            <s xml:id="echoid-s943" xml:space="preserve">ſcribi
              <lb/>
            poſſunt, binæque ex diametro inciſuræ excauari, quæ Me-
              <lb/>
            ridianum circulum ad angulos rectos cum Horizõte exci-
              <lb/>
            pl
              <unsure/>
            ant: </s>
            <s xml:id="echoid-s944" xml:space="preserve">diuidatur in gr. </s>
            <s xml:id="echoid-s945" xml:space="preserve">360. </s>
            <s xml:id="echoid-s946" xml:space="preserve">ſiue in 4. </s>
            <s xml:id="echoid-s947" xml:space="preserve">quadrantes, quorum
              <lb/>
            numeri à Septentrione, & </s>
            <s xml:id="echoid-s948" xml:space="preserve">Meridie incipiẽtes, atq; </s>
            <s xml:id="echoid-s949" xml:space="preserve">vtrin-
              <lb/>
            que prodeuntes, deſinant in gr. </s>
            <s xml:id="echoid-s950" xml:space="preserve">90. </s>
            <s xml:id="echoid-s951" xml:space="preserve">ad Ortum, & </s>
            <s xml:id="echoid-s952" xml:space="preserve">Occaſum.
              <lb/>
            </s>
            <s xml:id="echoid-s953" xml:space="preserve">ſic abſolutus Horizon incumbet ſuæ baſi, ita vt fulciatur
              <lb/>
            brachiolis in modum aluei rotundi conformatis. </s>
            <s xml:id="echoid-s954" xml:space="preserve">in quem
              <lb/>
            alueum Meridianus vna cum reliqua compage per Hori-
              <lb/>
            zontis ſectiones immiſſus præcisè medius ſupra Horizon-
              <lb/>
            tem perpẽdiculariter erigatur, ac medius infra Horizon-
              <lb/>
            tem deſcendat, occurratq; </s>
            <s xml:id="echoid-s955" xml:space="preserve">fundo aluei, vbi aliqua ſectura
              <lb/>
            retineatur ne huc, illuc, a rectitudine deflectat. </s>
            <s xml:id="echoid-s956" xml:space="preserve">Neq; </s>
            <s xml:id="echoid-s957" xml:space="preserve">ve-
              <lb/>
            ro cum Horizonte conſolidari debet, vt per eius in-ciſio-
              <lb/>
            nes ſuſque deque reuolui poſſit: </s>
            <s xml:id="echoid-s958" xml:space="preserve">debet tandem Horizon
              <lb/>
            eſſe paralellus inferiori plano ſuæ baſis, ſeu plantæ ſui pe-
              <lb/>
            dis. </s>
            <s xml:id="echoid-s959" xml:space="preserve">vbi ex vſu erit ſi acus magnetica in aliqua loculamen-
              <lb/>
            to librata, contineatur, cuius vſus poſtea apparebit. </s>
            <s xml:id="echoid-s960" xml:space="preserve">Quo-
              <lb/>
            rum omnium ac totius Sphæræ Armillaris ſiguram inſpice in pagina ante apparatum immediatè poſita.</s>
            <s xml:id="echoid-s961" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div26" type="section" level="1" n="17">
          <head xml:id="echoid-head19" style="it" xml:space="preserve">Quadrantem Astronomicum, vnà cum quadrato conſtruere. # Propoſ. 8.</head>
          <p>
            <s xml:id="echoid-s962" xml:space="preserve">VT melius res Aſtronomicas doceamus, indigemus aliquando huiuſmodi quadrante. </s>
            <s xml:id="echoid-s963" xml:space="preserve">ex aliqua igitur
              <lb/>
            ſolida, ac firma materia conſtruatur quadratum A B C D. </s>
            <s xml:id="echoid-s964" xml:space="preserve">quale figura vtcumque oſtendit, cuius ſin-
              <lb/>
              <figure xlink:label="fig-0022-02" xlink:href="fig-0022-02a" number="11">
                <image file="0022-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0022-02"/>
              </figure>
            gula latera, ſint ſaltem duorum aut trium pedum, quo ve-
              <lb/>
            ro maius, eo etiam vtilius erit. </s>
            <s xml:id="echoid-s965" xml:space="preserve">facto deinde centro in C.
              <lb/>
            </s>
            <s xml:id="echoid-s966" xml:space="preserve">interuallo C B. </s>
            <s xml:id="echoid-s967" xml:space="preserve">deſcribatur quadrans circuli B C D. </s>
            <s xml:id="echoid-s968" xml:space="preserve">diui-
              <lb/>
            datur que in gr. </s>
            <s xml:id="echoid-s969" xml:space="preserve">90. </s>
            <s xml:id="echoid-s970" xml:space="preserve">cum ſit quarta circuli pars: </s>
            <s xml:id="echoid-s971" xml:space="preserve">& </s>
            <s xml:id="echoid-s972" xml:space="preserve">quilibet
              <lb/>
            gradus ſaltem in particulas 5. </s>
            <s xml:id="echoid-s973" xml:space="preserve">ſubdiuidatur per primam
              <lb/>
            ropoſ. </s>
            <s xml:id="echoid-s974" xml:space="preserve">huius. </s>
            <s xml:id="echoid-s975" xml:space="preserve">pendeat perpendiculũ D I. </s>
            <s xml:id="echoid-s976" xml:space="preserve">iuxta lineam ali-
              <lb/>
            quam per medium lateris A D. </s>
            <s xml:id="echoid-s977" xml:space="preserve">ductam. </s>
            <s xml:id="echoid-s978" xml:space="preserve">adſit etiam Dio-
              <lb/>
            ptra circa centrum C. </s>
            <s xml:id="echoid-s979" xml:space="preserve">mobilis, cuius latus C E. </s>
            <s xml:id="echoid-s980" xml:space="preserve">per cen-
              <lb/>
            trum C. </s>
            <s xml:id="echoid-s981" xml:space="preserve">tranſeat, quod fiduciæ lineam ſolent appellare. </s>
            <s xml:id="echoid-s982" xml:space="preserve">
              <lb/>
            erigantur ex Dioptræ ſuperficie exteriori duo pinancidia
              <lb/>
            perpendiculariter, atque inuicem paralella: </s>
            <s xml:id="echoid-s983" xml:space="preserve">in quorum
              <lb/>
            medio ſint exigua duo foramina directè ſupra lineam fi-
              <lb/>
            duciæ facta, atque in eadem altitudine. </s>
            <s xml:id="echoid-s984" xml:space="preserve">ſint præterea in
              <lb/>
            pinnularum ſummitatibus duæ rimulæ ſibi mutuo in ea-
              <lb/>
            dem altitudine reſpõdentes. </s>
            <s xml:id="echoid-s985" xml:space="preserve">Deinde duo latera A B. </s>
            <s xml:id="echoid-s986" xml:space="preserve">B C. </s>
            <s xml:id="echoid-s987" xml:space="preserve">
              <lb/>
            diuidantur in partes 60. </s>
            <s xml:id="echoid-s988" xml:space="preserve">æquales, vti figura demonſtrat. </s>
            <s xml:id="echoid-s989" xml:space="preserve">
              <lb/>
            Tandem ſit etiam in angulo A. </s>
            <s xml:id="echoid-s990" xml:space="preserve">paratum foramen, cui cum
              <lb/>
            opus fuerit Dioptra poſſit affigi, ac circa ipſum conuolui.</s>
            <s xml:id="echoid-s991" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div28" type="section" level="1" n="18">
          <head xml:id="echoid-head20" xml:space="preserve">FINIS PARTIS PRIMÆ.</head>
        </div>
      </text>
    </echo>
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