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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        <div xml:id="echoid-div585" type="section" level="1" n="426">
          <p>
            <s xml:id="echoid-s21733" xml:space="preserve">
              <pb o="19" file="0273" n="278" rhead="DE HOROLOGIIS."/>
            nuoſas ſicuti ſuperiores. </s>
            <s xml:id="echoid-s21734" xml:space="preserve">atque hoc vnum lucri, ſeu pulchritudinis bonum aſſequuntur. </s>
            <s xml:id="echoid-s21735" xml:space="preserve">huius exem-
              <lb/>
            plum vides in adiecta figura 18′. </s>
            <s xml:id="echoid-s21736" xml:space="preserve">Alij vtuntur alia tabula, a noſtra, in qua calculatæ ſunt altitudines
              <lb/>
              <note position="right" xlink:label="note-0273-01" xlink:href="note-0273-01a" xml:space="preserve">18. figu-
                <lb/>
              ra 2. qua
                <lb/>
              drantis.</note>
            per ſingulas graduum decurias ſignorum Zodiaci; </s>
            <s xml:id="echoid-s21737" xml:space="preserve">breuius quidem, ſed non exactius horologia con-
              <lb/>
            ſtruunt, de qua tabula in fine breuiter dicam.</s>
            <s xml:id="echoid-s21738" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21739" xml:space="preserve">Deſcripſis Anno, & </s>
            <s xml:id="echoid-s21740" xml:space="preserve">horis, ponantur an aliquo ſpatio vacuo hæc, Ad lat. </s>
            <s xml:id="echoid-s21741" xml:space="preserve">44 {1/2}. </s>
            <s xml:id="echoid-s21742" xml:space="preserve">vna cum quapiam
              <lb/>
              <note position="right" xlink:label="note-0273-02" xlink:href="note-0273-02a" xml:space="preserve">De alia
                <lb/>
              tab. altit.</note>
            ſententia morali de breuitate vitæ, de fuga temporis, vel alia.</s>
            <s xml:id="echoid-s21743" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21744" xml:space="preserve">9 Tandem deſignandæ ſunt duæ pinnulæ ciuſdem altitudinis, vna apud A, altera apud B. </s>
            <s xml:id="echoid-s21745" xml:space="preserve">Poſtea
              <lb/>
            hæc omnia lineamenta tranſcribantur in aliquam mundam ſaperficiem ſolidiorem; </s>
            <s xml:id="echoid-s21746" xml:space="preserve">vel ipſum hoc
              <lb/>
            horologium tali ſuperficiei agglutinetur. </s>
            <s xml:id="echoid-s21747" xml:space="preserve">omnia autem quæ ſunt extra quadrantẽ præter Annum, & </s>
            <s xml:id="echoid-s21748" xml:space="preserve">
              <lb/>
            pinnulas circuncidantur. </s>
            <s xml:id="echoid-s21749" xml:space="preserve">demum ex centro A, tenui filo paulo @ongiori quam latus quadrantis perpen-
              <lb/>
            diculum pendeat. </s>
            <s xml:id="echoid-s21750" xml:space="preserve">eritq; </s>
            <s xml:id="echoid-s21751" xml:space="preserve">abſolutum horologium viatorium, ſeu mobile de cuius vſu modò dicendum.</s>
            <s xml:id="echoid-s21752" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21753" xml:space="preserve">10 Sciat lector poſſe per præmiſſam ad lat. </s>
            <s xml:id="echoid-s21754" xml:space="preserve">44 {1/2}. </s>
            <s xml:id="echoid-s21755" xml:space="preserve">altitudinum tabulam, deſcribi eodem modo ci-
              <lb/>
            tra ſenſibilem errorem horologia ad lat. </s>
            <s xml:id="echoid-s21756" xml:space="preserve">44. </s>
            <s xml:id="echoid-s21757" xml:space="preserve">& </s>
            <s xml:id="echoid-s21758" xml:space="preserve">45. </s>
            <s xml:id="echoid-s21759" xml:space="preserve">vel quod idem eſt, Horologium ipſum deſcriptum
              <lb/>
            ad lat. </s>
            <s xml:id="echoid-s21760" xml:space="preserve">44 {1/2}. </s>
            <s xml:id="echoid-s21761" xml:space="preserve">inſeruire etiam pro lat. </s>
            <s xml:id="echoid-s21762" xml:space="preserve">44. </s>
            <s xml:id="echoid-s21763" xml:space="preserve">& </s>
            <s xml:id="echoid-s21764" xml:space="preserve">45.</s>
            <s xml:id="echoid-s21765" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div596" type="section" level="1" n="427">
          <head xml:id="echoid-head452" style="it" xml:space="preserve">Varij vſus Horologij in Quadranti deſcripti; quorum nonnulli noui ſunt,
            <lb/>
          ac valde vtiles. Cap. II.</head>
          <p>
            <s xml:id="echoid-s21766" xml:space="preserve">1 VT rationem vſuum tradendorum intelligamus, conſiderandum eſt in primis, qua ratione Qua-
              <lb/>
              <note position="right" xlink:label="note-0273-03" xlink:href="note-0273-03a" xml:space="preserve">Primus
                <lb/>
              modus
                <lb/>
              per vm-
                <lb/>
              bram ſty-
                <lb/>
              li.</note>
            drans ſit col ocandus aſtronomicè, vt eo recte vtamur. </s>
            <s xml:id="echoid-s21767" xml:space="preserve">Primo igitur quoniam latus eius A C. </s>
            <s xml:id="echoid-s21768" xml:space="preserve">re-
              <lb/>
            fert horizontem, indubium eſt, ipſum ſtatuendũ eſſe horizonti paralellum 2. </s>
            <s xml:id="echoid-s21769" xml:space="preserve">quia in eo Horologium
              <lb/>
            conſtructum eſt per altitudines Solis vt ſcilicet ex altitudine Solis horam cognoſcamus, ideo vt So-
              <lb/>
            lis altitudinem quouis momento temporis habeamus, ex centro A, exeat normaliter tenuis ſtylus
              <lb/>
            vel arcus A I, cuiuſuis longitudinis. </s>
            <s xml:id="echoid-s21770" xml:space="preserve">poſtea Sole ſplendente Quadrantem manibus tenens, latere
              <lb/>
            A C, ſuperius exiſtente, latere A B. </s>
            <s xml:id="echoid-s21771" xml:space="preserve">deorſum tendente perpendiculoq; </s>
            <s xml:id="echoid-s21772" xml:space="preserve">liberè congruente (ſic enim
              <lb/>
            A C, erit horizonti æquidiſtans) obuertemus in Solem, ita vt radij eius vix illuminent faciem Horo-
              <lb/>
            logij, ſeu eam radant. </s>
            <s xml:id="echoid-s21773" xml:space="preserve">in quo ſitu erit planum eius in circulo Solis verticali, & </s>
            <s xml:id="echoid-s21774" xml:space="preserve">vmbra A H, ſtyli A I,
              <lb/>
            proiecta in faciem Horologij tantum cadet infra horizontalem lineam A C, quantum Sol ſupra ho-
              <lb/>
            rizontem eleuabitur, ſecabitq; </s>
            <s xml:id="echoid-s21775" xml:space="preserve">arcum quadrantis ſecundum gradus altitudinis Solis. </s>
            <s xml:id="echoid-s21776" xml:space="preserve">ſecabit etiã om-
              <lb/>
            nes paralellos, quare & </s>
            <s xml:id="echoid-s21777" xml:space="preserve">paralellum currentem, ideſt debitum diei eurrenti; </s>
            <s xml:id="echoid-s21778" xml:space="preserve">ſeu qui eſt è regione diei
              <lb/>
            currentis in anno Horologij; </s>
            <s xml:id="echoid-s21779" xml:space="preserve">ſecabitque illum in eo puncto, in quo ſecabuntur a regula applica a tali
              <lb/>
            altitudini debitæ tali horæ tabulæ, dum Horologium conſtruebatur: </s>
            <s xml:id="echoid-s21780" xml:space="preserve">atque idcirco linea horaria illi
              <lb/>
            puncto propior matutina ſi mane, veſpertina ſi veſpere, labentem horam neceſſariò indicabit, v. </s>
            <s xml:id="echoid-s21781" xml:space="preserve">g.
              <lb/>
            </s>
            <s xml:id="echoid-s21782" xml:space="preserve">ſit diei 18. </s>
            <s xml:id="echoid-s21783" xml:space="preserve">Auguſti poſt meridiem indaganda hora in tali temporis momento, quo collocato aſtro-
              <lb/>
            nomicè quadrante, vti docuimus, Sole S. </s>
            <s xml:id="echoid-s21784" xml:space="preserve">ſplendente vmbra A H. </s>
            <s xml:id="echoid-s21785" xml:space="preserve">ſtyli A I. </s>
            <s xml:id="echoid-s21786" xml:space="preserve">ſecans omnes paralel-
              <lb/>
            los, ſecet etiam paralellum currentem, ideſt debitum diei 18. </s>
            <s xml:id="echoid-s21787" xml:space="preserve">Auguſti (qui dies quamuis non ſit in
              <lb/>
            quadrante expreſſus, tamen ſecundum iudicij æſtimationem, cum ſit poſt 14. </s>
            <s xml:id="echoid-s21788" xml:space="preserve">diem ibi expreſſum
              <lb/>
            per paralellum 6. </s>
            <s xml:id="echoid-s21789" xml:space="preserve">qui eſt tertius ♌. </s>
            <s xml:id="echoid-s21790" xml:space="preserve">imaginor eum paulo poſt 14. </s>
            <s xml:id="echoid-s21791" xml:space="preserve">ſimiliter imaginor paralellum corre-
              <lb/>
            ſpondentem huic diei, & </s>
            <s xml:id="echoid-s21792" xml:space="preserve">conſequenter ſatis propinquum paralello tertio ♌. </s>
            <s xml:id="echoid-s21793" xml:space="preserve">ad dexteram) ſecet au-
              <lb/>
            tem in puncto K. </s>
            <s xml:id="echoid-s21794" xml:space="preserve">quod cadat inter 4. </s>
            <s xml:id="echoid-s21795" xml:space="preserve">lineas horarias, ideſt inter 11. </s>
            <s xml:id="echoid-s21796" xml:space="preserve">& </s>
            <s xml:id="echoid-s21797" xml:space="preserve">12. </s>
            <s xml:id="echoid-s21798" xml:space="preserve">necnon inter 22. </s>
            <s xml:id="echoid-s21799" xml:space="preserve">& </s>
            <s xml:id="echoid-s21800" xml:space="preserve">23. </s>
            <s xml:id="echoid-s21801" xml:space="preserve">cum
              <lb/>
            vero priores duæ ſint matutinæ, tempus autem præſens ſit veſpertinum, eæ non facient ad rem; </s>
            <s xml:id="echoid-s21802" xml:space="preserve">ideo
              <lb/>
            ſecundæ tantum inſeruient, ideoq; </s>
            <s xml:id="echoid-s21803" xml:space="preserve">indicatur elapſam eſie horam 22. </s>
            <s xml:id="echoid-s21804" xml:space="preserve">& </s>
            <s xml:id="echoid-s21805" xml:space="preserve">quidem paulò ante, cum pun-
              <lb/>
            ctum K. </s>
            <s xml:id="echoid-s21806" xml:space="preserve">paululum cadat ſupra 22. </s>
            <s xml:id="echoid-s21807" xml:space="preserve">ſi dies currens fuiſſet 14. </s>
            <s xml:id="echoid-s21808" xml:space="preserve">aſſumendus fuiſſet paralellus tertius ♌. </s>
            <s xml:id="echoid-s21809" xml:space="preserve">qui
              <lb/>
            ſectus fuiſſet ab vmbra propè K. </s>
            <s xml:id="echoid-s21810" xml:space="preserve">indicaſſetq; </s>
            <s xml:id="echoid-s21811" xml:space="preserve">horam ferè eandem.</s>
            <s xml:id="echoid-s21812" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21813" xml:space="preserve">Si aliunde non conſtaret tempus eſſe pomeridianum, obſertiandum eſſet bis ex vmbra ſtyli (inter-
              <lb/>
              <note position="right" xlink:label="note-0273-04" xlink:href="note-0273-04a" xml:space="preserve">An tem-
                <lb/>
              pus ſit an
                <lb/>
              remerid.
                <lb/>
              vel pome.
                <lb/>
              merid.</note>
            poſita aliqua temporis mora) an Solis altitudo creſcat, vel decreſcat; </s>
            <s xml:id="echoid-s21814" xml:space="preserve">qua creſcente eſt matutinum,
              <lb/>
            decreſcente v@ſpertinum: </s>
            <s xml:id="echoid-s21815" xml:space="preserve">circa meridiem vero inſenſibiliter variatur.</s>
            <s xml:id="echoid-s21816" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21817" xml:space="preserve">Nonnulli pro ſtylo, vtuntur pinnacidio A. </s>
            <s xml:id="echoid-s21818" xml:space="preserve">normaliter eleuato cum vſui fuerit, obſeruantes vm-
              <lb/>
            bram lateris eius A L. </s>
            <s xml:id="echoid-s21819" xml:space="preserve">quod centro A. </s>
            <s xml:id="echoid-s21820" xml:space="preserve">coniungitur pro vmbra ſtyli, neq; </s>
            <s xml:id="echoid-s21821" xml:space="preserve">adhibent perpendiculum,
              <lb/>
            ſed tantum ſecundum ſenſus æſtimationem ſtatuunt latus A C. </s>
            <s xml:id="echoid-s21822" xml:space="preserve">ad libeliã, ſeu horizonti æquidiſtans.</s>
            <s xml:id="echoid-s21823" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21824" xml:space="preserve">Atq; </s>
            <s xml:id="echoid-s21825" xml:space="preserve">hic primus eſt modus, magis quidem naturalis quam ſequens: </s>
            <s xml:id="echoid-s21826" xml:space="preserve">ſequens tamen eſt magis vtilis,
              <lb/>
            vt mox patebit. </s>
            <s xml:id="echoid-s21827" xml:space="preserve">qua propter in eo exponam omnes vſus, tam ei propius quam ſuperiori, atque etiam
              <lb/>
            communis alteri quadrantiiam vſitato.</s>
            <s xml:id="echoid-s21828" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div599" type="section" level="1" n="428">
          <head xml:id="echoid-head453" style="it" xml:space="preserve">De ſecundo modo præstantiori vtendi Quadrante per perpendiculum,
            <lb/>
          & pinnulas.</head>
          <p>
            <s xml:id="echoid-s21829" xml:space="preserve">1. </s>
            <s xml:id="echoid-s21830" xml:space="preserve">REquirit hic modus binas pinnulas, & </s>
            <s xml:id="echoid-s21831" xml:space="preserve">perpendiculum, non enim obſeruat vmbram ſtyli, ſed
              <lb/>
              <note position="right" xlink:label="note-0273-05" xlink:href="note-0273-05a" xml:space="preserve">Secisndus
                <lb/>
              modus
                <lb/>
              per per-
                <lb/>
              pendicu-
                <lb/>
              lum.</note>
            loco vmbræ filum perpendiculi conſiderat. </s>
            <s xml:id="echoid-s21832" xml:space="preserve">& </s>
            <s xml:id="echoid-s21833" xml:space="preserve">propterea in vſu eius requirit diuerſam qua-
              <lb/>
            drantis poſitionem a ſuperiori, nam collocandus eſt in verticali Solis, ita vt centrum A. </s>
            <s xml:id="echoid-s21834" xml:space="preserve">vergat in So-
              <lb/>
            lem, & </s>
            <s xml:id="echoid-s21835" xml:space="preserve">latus A B. </s>
            <s xml:id="echoid-s21836" xml:space="preserve">pinnularum congruat radio Solis. </s>
            <s xml:id="echoid-s21837" xml:space="preserve">quod fiet, ſi obuerſo in ſplendentem Solem </s>
          </p>
        </div>
      </text>
    </echo>
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