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-div578" type="section" level="1" n="423">
          <pb o="16" file="0270" n="275"/>
        </div>
        <div xml:id="echoid-div579" type="section" level="1" n="424">
          <head xml:id="echoid-head446" xml:space="preserve">PARS SECVNDA.</head>
          <head xml:id="echoid-head447" xml:space="preserve">DE NOVO HOROLOGIO VIATORIO</head>
          <head xml:id="echoid-head448" xml:space="preserve">IN QVADRANTE</head>
          <head xml:id="echoid-head449" xml:space="preserve">Per altitudines Solis deſcribendo. Cap. I.</head>
          <p>
            <s xml:id="echoid-s21232" xml:space="preserve">QVoniam Horologium hoc deſcribitur per| Tabulam altitudinũ Solis in ſingulis horis
              <lb/>
            ſupra horizontem loci illius, pro quo Horologium deſcribendum eſt: </s>
            <s xml:id="echoid-s21233" xml:space="preserve">ideo paratam
              <lb/>
            habere oportet huiuſmodi tabulam, conſtructam ad latitudinem dati loci, qualis eſt
              <lb/>
            ſequens, conſtructa à D. </s>
            <s xml:id="echoid-s21234" xml:space="preserve">Alfonſo Iſæo nobili Parmenſi, atque in Mathematicis ver-
              <lb/>
            ſatiffimo ad latit. </s>
            <s xml:id="echoid-s21235" xml:space="preserve">44 {1/2}. </s>
            <s xml:id="echoid-s21236" xml:space="preserve">vti eſt Parmenſis. </s>
            <s xml:id="echoid-s21237" xml:space="preserve">vbi nunc in exemplo trademus regulas hu-
              <lb/>
            ius Horologij deſcribendi.</s>
            <s xml:id="echoid-s21238" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div580" type="section" level="1" n="425">
          <head xml:id="echoid-head450" xml:space="preserve">LOCVS TABVLÆ.</head>
          <p>
            <s xml:id="echoid-s21239" xml:space="preserve">SEd ante omnia præmiſſa Tabula declaranda eſt. </s>
            <s xml:id="echoid-s21240" xml:space="preserve">in ea igitur conſiderandi ſunt duo proceſſus.
              <lb/>
            </s>
            <s xml:id="echoid-s21241" xml:space="preserve">Primus qui tendit a ſiniſtra in dexte@ã, & </s>
            <s xml:id="echoid-s21242" xml:space="preserve">dicitur verſus alter tendit à ſumo ad imum, & </s>
            <s xml:id="echoid-s21243" xml:space="preserve">dicitur co-
              <lb/>
            lumna. </s>
            <s xml:id="echoid-s21244" xml:space="preserve">Verſus ſunt 22. </s>
            <s xml:id="echoid-s21245" xml:space="preserve">quorum. </s>
            <s xml:id="echoid-s21246" xml:space="preserve">primus continet titulum. </s>
            <s xml:id="echoid-s21247" xml:space="preserve">ſecundus numeros Horarum ab ortu 1. </s>
            <s xml:id="echoid-s21248" xml:space="preserve">2. </s>
            <s xml:id="echoid-s21249" xml:space="preserve">
              <lb/>
            3. </s>
            <s xml:id="echoid-s21250" xml:space="preserve">&</s>
            <s xml:id="echoid-s21251" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21252" xml:space="preserve">& </s>
            <s xml:id="echoid-s21253" xml:space="preserve">ab occaſu 23. </s>
            <s xml:id="echoid-s21254" xml:space="preserve">22. </s>
            <s xml:id="echoid-s21255" xml:space="preserve">21. </s>
            <s xml:id="echoid-s21256" xml:space="preserve">&</s>
            <s xml:id="echoid-s21257" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21258" xml:space="preserve">ternus continet varios characteres; </s>
            <s xml:id="echoid-s21259" xml:space="preserve">quorum primus M. </s>
            <s xml:id="echoid-s21260" xml:space="preserve">ſig n@ficat
              <lb/>
            Menſes ſecundus D. </s>
            <s xml:id="echoid-s21261" xml:space="preserve">dies, 8. </s>
            <s xml:id="echoid-s21262" xml:space="preserve">ſigna, G. </s>
            <s xml:id="echoid-s21263" xml:space="preserve">gradus, M. </s>
            <s xml:id="echoid-s21264" xml:space="preserve">minuta. </s>
            <s xml:id="echoid-s21265" xml:space="preserve">poſtea iterum ſequuntur M. </s>
            <s xml:id="echoid-s21266" xml:space="preserve">D. </s>
            <s xml:id="echoid-s21267" xml:space="preserve">S. </s>
            <s xml:id="echoid-s21268" xml:space="preserve">G. </s>
            <s xml:id="echoid-s21269" xml:space="preserve">M. </s>
            <s xml:id="echoid-s21270" xml:space="preserve">
              <lb/>
            &</s>
            <s xml:id="echoid-s21271" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21272" xml:space="preserve">idem ſignificantia poſtea ad finem huius verſus, ſunt hor. </s>
            <s xml:id="echoid-s21273" xml:space="preserve">M. </s>
            <s xml:id="echoid-s21274" xml:space="preserve">ideſt, Horæ, minuta. </s>
            <s xml:id="echoid-s21275" xml:space="preserve">reliqui ver ſus
              <lb/>
            intelligentur partim ex columnarum expoſitione, partim ex vſu tabulæ.</s>
            <s xml:id="echoid-s21276" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21277" xml:space="preserve">Secundum columnas tota tabula diuitur in tres partes, in Annum, in Altitudines, in Tempora.
              <lb/>
            </s>
            <s xml:id="echoid-s21278" xml:space="preserve">
              <note position="left" xlink:label="note-0270-01" xlink:href="note-0270-01a" xml:space="preserve">Prima
                <lb/>
              pars ta-
                <lb/>
              bul@ in
                <lb/>
              qua An-
                <lb/>
              nus.</note>
            Prima pars, quæ Annus eſt conſtat ex octo columnis, quarum prima continet nomina ſex Menſium
              <lb/>
            incipiendo à ſolſtitio hyemali vſque ad æſtiuum, vt indicat litera M, ei in tertio verſu præfixa. </s>
            <s xml:id="echoid-s21279" xml:space="preserve">Se-
              <lb/>
            cunda continet aliquot dies menſium, ſeu numeros dierum menſium primæ columnæ, cui ideo litera
              <lb/>
            D. </s>
            <s xml:id="echoid-s21280" xml:space="preserve">inſcribitur. </s>
            <s xml:id="echoid-s21281" xml:space="preserve">Tertia cui S. </s>
            <s xml:id="echoid-s21282" xml:space="preserve">inſcribitur habet ſex ſigna, ſeu ſex characteres ſignorum Zodiaci aſcen-
              <lb/>
            dentium, quæ reſpondent ſex menſibus primæ columnæ. </s>
            <s xml:id="echoid-s21283" xml:space="preserve">Quarta cui ſuperponitur G. </s>
            <s xml:id="echoid-s21284" xml:space="preserve">M. </s>
            <s xml:id="echoid-s21285" xml:space="preserve">continet
              <lb/>
            numeros graduum, & </s>
            <s xml:id="echoid-s21286" xml:space="preserve">minutorum ſex ſignorum præcedentis columnæ, qui numeri reſpondent fin-
              <lb/>
            guli numeris ſingulis dierum ſecundæ columnæ, qui ſunt ſecum in eodem verſu. </s>
            <s xml:id="echoid-s21287" xml:space="preserve">Qu@nta continet
              <lb/>
            reliquos fex menſes, ideo ei M. </s>
            <s xml:id="echoid-s21288" xml:space="preserve">iterum præſcribitur. </s>
            <s xml:id="echoid-s21289" xml:space="preserve">Sexta dies aliquot menſium. </s>
            <s xml:id="echoid-s21290" xml:space="preserve">Septima, reli-
              <lb/>
            quorum ſex ſignorum deſcendentium characteres reſpondentium diebus menſium quintæ, & </s>
            <s xml:id="echoid-s21291" xml:space="preserve">ſextæ
              <lb/>
            columnæ. </s>
            <s xml:id="echoid-s21292" xml:space="preserve">Octaua habet numeros graduum, & </s>
            <s xml:id="echoid-s21293" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21294" xml:space="preserve">præcedentium ſignorum, qui gradus, & </s>
            <s xml:id="echoid-s21295" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21296" xml:space="preserve">re-
              <lb/>
            ſpondent diebus præcedentis columnæ, qui ſunt ſecum in ijſdem ver@bus. </s>
            <s xml:id="echoid-s21297" xml:space="preserve">Quapropter duo primi
              <lb/>
            verſus harum 8. </s>
            <s xml:id="echoid-s21298" xml:space="preserve">columna rum ſignificant menſis Iunij diem 22. </s>
            <s xml:id="echoid-s21299" xml:space="preserve">reſpondere gr. </s>
            <s xml:id="echoid-s21300" xml:space="preserve">30. </s>
            <s xml:id="echoid-s21301" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21302" xml:space="preserve">0. </s>
            <s xml:id="echoid-s21303" xml:space="preserve">♊. </s>
            <s xml:id="echoid-s21304" xml:space="preserve">& </s>
            <s xml:id="echoid-s21305" xml:space="preserve">pariter
              <lb/>
            eiuſdem menſis eandem diem 22. </s>
            <s xml:id="echoid-s21306" xml:space="preserve">reſpondere gr. </s>
            <s xml:id="echoid-s21307" xml:space="preserve">o. </s>
            <s xml:id="echoid-s21308" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21309" xml:space="preserve">o. </s>
            <s xml:id="echoid-s21310" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s21311" xml:space="preserve">quæ omnia indicant prædicta die 22.
              <lb/>
            </s>
            <s xml:id="echoid-s21312" xml:space="preserve">Solem tranſire a Geminis ad Cancrum, ſeu deſcribere tropicum Cancri. </s>
            <s xml:id="echoid-s21313" xml:space="preserve">Tertius verſus earundem
              <lb/>
            columnarum indicat die 6. </s>
            <s xml:id="echoid-s21314" xml:space="preserve">Iunij Solem percurrere paralellum tranſeuntem per gr. </s>
            <s xml:id="echoid-s21315" xml:space="preserve">25. </s>
            <s xml:id="echoid-s21316" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21317" xml:space="preserve">o. </s>
            <s xml:id="echoid-s21318" xml:space="preserve">♊. </s>
            <s xml:id="echoid-s21319" xml:space="preserve">die
              <lb/>
            verò 8. </s>
            <s xml:id="echoid-s21320" xml:space="preserve">Iulij Solem percurrere paralellum tranſeuntem per gr. </s>
            <s xml:id="echoid-s21321" xml:space="preserve">15. </s>
            <s xml:id="echoid-s21322" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21323" xml:space="preserve">o. </s>
            <s xml:id="echoid-s21324" xml:space="preserve">♋.</s>
            <s xml:id="echoid-s21325" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21326" xml:space="preserve">Igitur numeri gr. </s>
            <s xml:id="echoid-s21327" xml:space="preserve">& </s>
            <s xml:id="echoid-s21328" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21329" xml:space="preserve">Signorum, qui ſunt iu quarta, & </s>
            <s xml:id="echoid-s21330" xml:space="preserve">octaua columna denotant totidem para-
              <lb/>
              <note position="left" xlink:label="note-0270-02" xlink:href="note-0270-02a" xml:space="preserve">Areus
                <lb/>
              @iur@i.</note>
            lellus æquatoris tranſeuntes per tot, taleſq; </s>
            <s xml:id="echoid-s21331" xml:space="preserve">gradus. </s>
            <s xml:id="echoid-s21332" xml:space="preserve">alij porrò ſunt paralelli per initia Signorum, qui
              <lb/>
            notantur per gr. </s>
            <s xml:id="echoid-s21333" xml:space="preserve">0. </s>
            <s xml:id="echoid-s21334" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21335" xml:space="preserve">0. </s>
            <s xml:id="echoid-s21336" xml:space="preserve">alij per gr. </s>
            <s xml:id="echoid-s21337" xml:space="preserve">10. </s>
            <s xml:id="echoid-s21338" xml:space="preserve">vel 15. </s>
            <s xml:id="echoid-s21339" xml:space="preserve">&</s>
            <s xml:id="echoid-s21340" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21341" xml:space="preserve">alij ſunt ſimul paralelli, & </s>
            <s xml:id="echoid-s21342" xml:space="preserve">arcus diurni horarum in-
              <lb/>
            tegrarum, vti ſunt qui tranſeunt per gr. </s>
            <s xml:id="echoid-s21343" xml:space="preserve">24. </s>
            <s xml:id="echoid-s21344" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21345" xml:space="preserve">25. </s>
            <s xml:id="echoid-s21346" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s21347" xml:space="preserve">per eos enim tranſit arcus diurnus horarum
              <lb/>
            15. </s>
            <s xml:id="echoid-s21348" xml:space="preserve">vt apparet procedẽdo in eodem verſu vſq; </s>
            <s xml:id="echoid-s21349" xml:space="preserve">ad columnam temporis diurni, ibi enim ſunt hor. </s>
            <s xml:id="echoid-s21350" xml:space="preserve">15. </s>
            <s xml:id="echoid-s21351" xml:space="preserve">0.
              <lb/>
            </s>
            <s xml:id="echoid-s21352" xml:space="preserve">Pariter in gr. </s>
            <s xml:id="echoid-s21353" xml:space="preserve">20. </s>
            <s xml:id="echoid-s21354" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21355" xml:space="preserve">20. </s>
            <s xml:id="echoid-s21356" xml:space="preserve">☊. </s>
            <s xml:id="echoid-s21357" xml:space="preserve">eſt arcus diurnus horarum 10. </s>
            <s xml:id="echoid-s21358" xml:space="preserve">vt apparet procedẽdo in eodem ver@u vſq; </s>
            <s xml:id="echoid-s21359" xml:space="preserve">
              <lb/>
            ad colum. </s>
            <s xml:id="echoid-s21360" xml:space="preserve">temp. </s>
            <s xml:id="echoid-s21361" xml:space="preserve">diurni, vbi horæ 10. </s>
            <s xml:id="echoid-s21362" xml:space="preserve">0. </s>
            <s xml:id="echoid-s21363" xml:space="preserve">& </s>
            <s xml:id="echoid-s21364" xml:space="preserve">ſic de reliquis. </s>
            <s xml:id="echoid-s21365" xml:space="preserve">Hi autem arcus aſſumpti ſunt propter eo-
              <lb/>
            rum vtilitatem in horologij propoſiti deſcriptione; </s>
            <s xml:id="echoid-s21366" xml:space="preserve">in paralellis enim horologij (quos poſtea vide-
              <lb/>
            bis) correſpondentibus hil
              <unsure/>
            ce arcubus diurnis, ſe mutuò ſecantbinæ horæ, ita vt nulla hora ſit in ijs
              <lb/>
            ſolitaria, & </s>
            <s xml:id="echoid-s21367" xml:space="preserve">præterea habetur in ſingulis eorum punctum vnum in horizonte pro ortu Solis in quoli-
              <lb/>
            bet arcu diurno. </s>
            <s xml:id="echoid-s21368" xml:space="preserve">quæ res plurimum confert ad rectam horologij deſcriptionem. </s>
            <s xml:id="echoid-s21369" xml:space="preserve">ſunt autem in toto
              <lb/>
            hoc anno 19. </s>
            <s xml:id="echoid-s21370" xml:space="preserve">paralelli, quorum ſingulis è directo reſpondent ſinguli verl
              <unsure/>
            us continentes gr. </s>
            <s xml:id="echoid-s21371" xml:space="preserve">& </s>
            <s xml:id="echoid-s21372" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21373" xml:space="preserve">
              <lb/>
            altitudinem Solis pro ſingulis horis in præcedentibus paralellis, quæ eſt ſecunda pars Tabulæ, de qua
              <lb/>
            modo dicendum.</s>
            <s xml:id="echoid-s21374" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21375" xml:space="preserve">Poſt haſce octo columnas, ſequitur ſecunda pars Tabulæ, quæ continet columnas 16. </s>
            <s xml:id="echoid-s21376" xml:space="preserve">quarum prima
              <lb/>
              <note position="left" xlink:label="note-0270-03" xlink:href="note-0270-03a" xml:space="preserve">S@@@@da
                <lb/>
              pars ta-
                <lb/>
              bula in
                <lb/>
              qua @it.
                <lb/>
              @erarum.</note>
            eſt ſub hora 23. </s>
            <s xml:id="echoid-s21377" xml:space="preserve">& </s>
            <s xml:id="echoid-s21378" xml:space="preserve">continet gradus, & </s>
            <s xml:id="echoid-s21379" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21380" xml:space="preserve">altitudinum in hora 23. </s>
            <s xml:id="echoid-s21381" xml:space="preserve">in ſingulis aſſumptis paralellis, v.</s>
            <s xml:id="echoid-s21382" xml:space="preserve">g.
              <lb/>
            </s>
            <s xml:id="echoid-s21383" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s21384" xml:space="preserve">9. </s>
            <s xml:id="echoid-s21385" xml:space="preserve">min. </s>
            <s xml:id="echoid-s21386" xml:space="preserve">21. </s>
            <s xml:id="echoid-s21387" xml:space="preserve">quæ ſunt in verſu reſpondente primo verſui anni, in quo eſt paralellus per finem ♊, & </s>
            <s xml:id="echoid-s21388" xml:space="preserve">
              <lb/>
            initium ♋, qui dicitur tropicus Cancri, ſignificant in tali paralello Solem hora 23. </s>
            <s xml:id="echoid-s21389" xml:space="preserve">ſiue horam 23. </s>
            <s xml:id="echoid-s21390" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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