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">
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        <div xml:id="echoid-div40" type="section" level="1" n="24">
          <p>
            <s xml:id="echoid-s1918" xml:space="preserve">
              <pb o="17" file="0033" n="33" rhead="Liber Primus."/>
            crans, ideſt, gr. </s>
            <s xml:id="echoid-s1919" xml:space="preserve">90. </s>
            <s xml:id="echoid-s1920" xml:space="preserve">ob eandem rationem, quia videlicet C E. </s>
            <s xml:id="echoid-s1921" xml:space="preserve">eſt polus horizontis: </s>
            <s xml:id="echoid-s1922" xml:space="preserve">ergo C E. </s>
            <s xml:id="echoid-s1923" xml:space="preserve">B D. </s>
            <s xml:id="echoid-s1924" xml:space="preserve">ſunt æqua-
              <lb/>
            les; </s>
            <s xml:id="echoid-s1925" xml:space="preserve">dematur iam arcus C D. </s>
            <s xml:id="echoid-s1926" xml:space="preserve">qui vtrique communis eſt, ſic enim demitur æquale ab æqualibus; </s>
            <s xml:id="echoid-s1927" xml:space="preserve">qui igitur
              <lb/>
            remanent duo arcus B C. </s>
            <s xml:id="echoid-s1928" xml:space="preserve">D E. </s>
            <s xml:id="echoid-s1929" xml:space="preserve">erunt æquales, ſed B C. </s>
            <s xml:id="echoid-s1930" xml:space="preserve">eſt complementum altitudinis poli A B. </s>
            <s xml:id="echoid-s1931" xml:space="preserve">ad com-
              <lb/>
            plendum quadrantem A D. </s>
            <s xml:id="echoid-s1932" xml:space="preserve">D E. </s>
            <s xml:id="echoid-s1933" xml:space="preserve">verò eſt eleuatio æquatoris ſupra horizontem, ergo complementum al-
              <lb/>
            titudinis poli eſt æqualis eleuationi æquatoris, quod erat demonſtrandum. </s>
            <s xml:id="echoid-s1934" xml:space="preserve">Idem ad ſenſum ex materiali
              <lb/>
            Sphæra oſtendere eſt, nam eleuato altero polorum ad quamlibet altitudinem, ſtatim apparebit arcum me-
              <lb/>
            ridiani inter polum, & </s>
            <s xml:id="echoid-s1935" xml:space="preserve">verticem interiectum, qui altitudinis poli eſt complementum, eſſe æqualem arcui
              <lb/>
            meridiani ab horizonte, vſque ad æquatorem interceptum, qui angulo æquatoris ſubtenditur, ac proinde
              <lb/>
            eiuſdem quantitatem indicat.</s>
            <s xml:id="echoid-s1936" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1937" xml:space="preserve">Cæterum in Sphæra recta, vterque dictorum arcuum eſt quadrans; </s>
            <s xml:id="echoid-s1938" xml:space="preserve">In paral ella vero Sphæra altitudo
              <lb/>
            poli eſt in teger quadrans, quare nullum relinquitur complementum; </s>
            <s xml:id="echoid-s1939" xml:space="preserve">& </s>
            <s xml:id="echoid-s1940" xml:space="preserve">ſicuti ibi nullum eſt tale comple-
              <lb/>
            mentum, ſic etiam nulla eſt Aequatoris eleuatio, cui æquale ſit. </s>
            <s xml:id="echoid-s1941" xml:space="preserve">Habita igitur linea Aequinoctiali, & </s>
            <s xml:id="echoid-s1942" xml:space="preserve">an-
              <lb/>
            gulo Aequatoris, extra Sphæram paralellam, facilè cuique erit Aequatoris perfectam in proprio horizonte
              <lb/>
            poſitionem imaginari.</s>
            <s xml:id="echoid-s1943" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1944" xml:space="preserve">Vſus Aequatoris hi ſnnt. </s>
            <s xml:id="echoid-s1945" xml:space="preserve">Primo, totam mundi Sphæram in duo dirimit hemiſphęria, Boreale videlicet,
              <lb/>
            & </s>
            <s xml:id="echoid-s1946" xml:space="preserve">Auſtrale: </s>
            <s xml:id="echoid-s1947" xml:space="preserve">vnde etiam ipſum terræ globum pariter in partem Borealem, & </s>
            <s xml:id="echoid-s1948" xml:space="preserve">Auſtralem partitur.</s>
            <s xml:id="echoid-s1949" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1950" xml:space="preserve">2 Eſt regula, & </s>
            <s xml:id="echoid-s1951" xml:space="preserve">menſura primi motus, ſeu motus diurni, quo ſcilicet totum cælum vna cum Sole ſpa-
              <lb/>
            cio 24. </s>
            <s xml:id="echoid-s1952" xml:space="preserve">horarum circa axem mundi reuoluitur, qui motus procedit ab Ortu, & </s>
            <s xml:id="echoid-s1953" xml:space="preserve">tendit per meridiem ad Oc-
              <lb/>
            caſum, atque inde per mediam noctem deſcendens, iterum ad Ortum reuertitur. </s>
            <s xml:id="echoid-s1954" xml:space="preserve">dicitur motus diurnus,
              <lb/>
            quia ex hac integra reuolutione dies naturalis perficitur. </s>
            <s xml:id="echoid-s1955" xml:space="preserve">Eſt autem Aequator huius motus menſura, quia
              <lb/>
            ipſe eodem motu vniformiter, ac regulariter mouetur, habet enim eoſdem polos, & </s>
            <s xml:id="echoid-s1956" xml:space="preserve">axem quos hic primus
              <lb/>
            motus: </s>
            <s xml:id="echoid-s1957" xml:space="preserve">mouetur vniformiter, ac regulariter. </s>
            <s xml:id="echoid-s1958" xml:space="preserve">nam temporibus æqualibet mouentur partes æquales, ideſt,
              <lb/>
            eadem ſemper velocitate, v. </s>
            <s xml:id="echoid-s1959" xml:space="preserve">g. </s>
            <s xml:id="echoid-s1960" xml:space="preserve">ſingulis horis eleuantur gr. </s>
            <s xml:id="echoid-s1961" xml:space="preserve">15. </s>
            <s xml:id="echoid-s1962" xml:space="preserve">ipſius ſupra horizontem, aut meridianum
              <lb/>
            prætereunt, vti Aſtronomicæ obſeruationes docent. </s>
            <s xml:id="echoid-s1963" xml:space="preserve">atque hoc eſt nobiliſſimum, ac præcipuum ipſius
              <lb/>
            munus.</s>
            <s xml:id="echoid-s1964" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1965" xml:space="preserve">3 Cum motus Aequatoris ſit vniformis regularis, & </s>
            <s xml:id="echoid-s1966" xml:space="preserve">ſemper æquè velox, merito Aſtronomi eum pro
              <lb/>
            inenſura cæterorum motuum aſſumpſerunt, ſeu ex motu ipſius tempus fabricati ſunt, eſt enim tempus, vt
              <lb/>
            aiunt Philoſophi, nihil aliud quam menſura motus. </s>
            <s xml:id="echoid-s1967" xml:space="preserve">hac de cauſa Aſtronomi ſæpè partes Aequatoris appel-
              <lb/>
            lant tempora, quas in Zodiaco gradus propriè dicunt; </s>
            <s xml:id="echoid-s1968" xml:space="preserve">ſic eleuatio gr. </s>
            <s xml:id="echoid-s1969" xml:space="preserve">15. </s>
            <s xml:id="echoid-s1970" xml:space="preserve">efficit vnam temporis horam, & </s>
            <s xml:id="echoid-s1971" xml:space="preserve">
              <lb/>
            integra Aequatoris reuolutio, vna cum tanta eiuſdem particula, quæ reſpondeat progreſſui diurno Solis
              <lb/>
            in Zodiaco, diem naturalem perficit. </s>
            <s xml:id="echoid-s1972" xml:space="preserve">eodem modo menſes, anni, & </s>
            <s xml:id="echoid-s1973" xml:space="preserve">reliqua tempora, quibus reliquos alio-
              <lb/>
            rum Planetarum, ſyderum, ac rerum motus, necnon durationes menſuramus, ex Aequatoris reuolutioni-
              <lb/>
            bus conſtituuntur. </s>
            <s xml:id="echoid-s1974" xml:space="preserve">Aduertendum vero ſingulos quindenos gradus non efficere exactè vnam horam, vti
              <lb/>
            exempli cauſa poſuimus, ſed exiguum quid amplius requiri, de quo ſuo loco, cum de diebus agetur. </s>
            <s xml:id="echoid-s1975" xml:space="preserve">Vt au-
              <lb/>
            tem melius percipiatur quot Aequatoris partes, quibus, & </s>
            <s xml:id="echoid-s1976" xml:space="preserve">quot temporibus reſpondeant, placuit ſe quen-
              <lb/>
            tem Tabellam ſubiungere.</s>
            <s xml:id="echoid-s1977" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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