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-div558" type="section" level="1" n="414">
          <p>
            <s xml:id="echoid-s20810" xml:space="preserve">
              <pb o="12" file="0266" n="271" rhead="TRACTATVS"/>
            pore paralellos à Sole percurri. </s>
            <s xml:id="echoid-s20811" xml:space="preserve">Pariter ſi tria puncta arcus diurni hor. </s>
            <s xml:id="echoid-s20812" xml:space="preserve">14. </s>
            <s xml:id="echoid-s20813" xml:space="preserve">vel 10. </s>
            <s xml:id="echoid-s20814" xml:space="preserve">quæ ſunt ſingula in
              <lb/>
            ſingulis trium linearum, iungantur linea curua punctuali indicabunt tempus eorundem arcuum. </s>
            <s xml:id="echoid-s20815" xml:space="preserve">ex
              <lb/>
            quibus omnibus erit abſolutum Horologium.</s>
            <s xml:id="echoid-s20816" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20817" xml:space="preserve">Poſtremo adhibenda ſunt quædam examina. </s>
            <s xml:id="echoid-s20818" xml:space="preserve">Primum, ſi erratum non eſt, ternæ horæ Italica,
              <lb/>
              <note position="left" xlink:label="note-0266-01" xlink:href="note-0266-01a" xml:space="preserve">Examina</note>
            Aſtronomica, & </s>
            <s xml:id="echoid-s20819" xml:space="preserve">Babylonica debent ſe mutuo interſecare in ijſdem punctis æquatoris, ideſt, ternę il-
              <lb/>
            læ quæ ſunt deſcriptæ ad eundem locum tympani. </s>
            <s xml:id="echoid-s20820" xml:space="preserve">Secundum, aliæ ternæ Italica, Aſtronomica, & </s>
            <s xml:id="echoid-s20821" xml:space="preserve">
              <lb/>
            Babylonica, ſe mutuo ſecant in eodem puncto arcus diurni hor. </s>
            <s xml:id="echoid-s20822" xml:space="preserve">10. </s>
            <s xml:id="echoid-s20823" xml:space="preserve">necnon hor. </s>
            <s xml:id="echoid-s20824" xml:space="preserve">14. </s>
            <s xml:id="echoid-s20825" xml:space="preserve">vti ſequentes
              <lb/>
            Tabellæ indicant.</s>
            <s xml:id="echoid-s20826" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div563" type="section" level="1" n="415">
          <head xml:id="echoid-head437" style="it" xml:space="preserve">Ternæ horæ huius Tabellæ ſe mutuo fecant in linea Æquin. ſiue in arcu diurno horar. 12.
            <lb/>
          tam in verticali, quam in horiz. horol. excepta hor. 12. Ital. in horizontali.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          # Bab. # 1 # 2 # 3 # 4 # 5 # 6 # 7 # 8 # 9 # 10 # 11 # 12
            <lb/>
          Horæ # Aſtr. # 7 # 8 # 9 # 10 # 11 # 12 # 1 # 2 # 3 # 4 # 5 # 6
            <lb/>
          # Ital. # 13 # 14 # 15 # 16 # 17 # 18 # 19 # 20 # 21 # 22 # 23 # 12
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div564" type="section" level="1" n="416">
          <head xml:id="echoid-head438" style="it" xml:space="preserve">Ternæ horæ ſeq. tab. ſe ſecant in arcu diurno hor. 14.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          # Bab. # 24 # 1 # 2 # 3 # 4 # 5 # 6 # 7 # 8 # 9 # 10 # 11 # 12 # 13 # 14
            <lb/>
          Horæ # Aſtr. # 5 # 6 # 7 # 8 # 9 # 10 # 11 # 12 # 1 # 2 # 3 # 4 # 5 # 6 # 7
            <lb/>
          # Ital. # 10 # 11 # 12 # 13 # 14 # 15 # 16 # 17 # 18 # 19 # 20 # 21 # 22 # 23 # 24
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div565" type="section" level="1" n="417">
          <head xml:id="echoid-head439" style="it" xml:space="preserve">Ternæ horæ ſeq. tab. ſe ſecant in arcu diurno hor. 10.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          # Bab. # 24 # 1 # 2 # 4 # 3 # 6 # 7 # 8 # 9 # 10 # 11 # 12 # 13
            <lb/>
          Horæ # Aſtr. # 7 # 8 # 9 # 11 # 12 # 1 # 2 # 3 # 4 # 5 # 6 # 7 # 8
            <lb/>
          # Ital. # 14 # 15 # 16 # 18 # 19 # 20 # 21 # 22 # 23 # 24 # 1 # 2 # 3
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div566" type="section" level="1" n="418">
          <head xml:id="echoid-head440" style="it" xml:space="preserve">Binæ horæſeq. Tab. ſe mutuo ſecant in linea meridiana, ſiue in linea hor. 12. Aſtron.
            <lb/>
          In meridiano tamen ſunt æquidistantes.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Bab. # 1 # 2 # 3 # 4 # 5 # 6 # 7 # 8 # 9 # 10 # 11 # 12 # 13 # 14 # 15 # 16 # 17 # 18
            <lb/>
          Ital. # 23 # 22 # 21 # 20 # 19 # 18 # 17 # 16 # 15 # 14 # 13 # 12 # 11 # 10 # 9 # 8 # 7 # 6
            <lb/>
          Bab. # 19 # 20 # 21 # 22 # 23 # 24
            <lb/>
          Ital. # 5 # 4 # 3 # 2 # 1 # 24
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div567" type="section" level="1" n="419">
          <head xml:id="echoid-head441" style="it" xml:space="preserve">De vſu Inſtrumenti
            <unsure/>
          vniuerſalis.</head>
          <p>
            <s xml:id="echoid-s20827" xml:space="preserve">ERit tympanum erigendum in quadrante, cui incumbit, ad altitudinem poli dati loci, vt in no-
              <lb/>
            ſtro exemplo Parmæ ad gr. </s>
            <s xml:id="echoid-s20828" xml:space="preserve">44 {1/2}. </s>
            <s xml:id="echoid-s20829" xml:space="preserve">pariter in Horario duæ lineæ Italica, & </s>
            <s xml:id="echoid-s20830" xml:space="preserve">Babylonica debent fa-
              <lb/>
            cere quælibet in ſuo quadrante eundem angulum altitudinis poli cum linea Aſtronomica.</s>
            <s xml:id="echoid-s20831" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20832" xml:space="preserve">Quoniam in hoc vniuerſali Horario nec hora Italica, nec Babylonica terminatæ ſunt, neque pun-
              <lb/>
            ctis declinationum aliorum paralellorum notatę, ideo primo opus eſt deſcribere tropicos, ac ſi libue-
              <lb/>
            rit, reliquos paralellos auxilio horæ Aſtronomicæ, quæ in huiuſmodi punctis diuiſa, ac terminata
              <lb/>
            eſt, hoc modo. </s>
            <s xml:id="echoid-s20833" xml:space="preserve">Manente Inſtrumento aſtronomicè ſito filium extremitati ſuperiori lineæ Aſtrono-
              <lb/>
            micæ, ideſt, puncto D. </s>
            <s xml:id="echoid-s20834" xml:space="preserve">Horarij applicatum atque extenſum pertingat vſque ad parietem, ibique vbi-
              <lb/>
            cunque fuerit horarium notetur punctum, ſicque gyrando horarium ſuper tympanum, notentur in
              <lb/>
            muro crebra puncta, quæ repræſentent tropicum ♑. </s>
            <s xml:id="echoid-s20835" xml:space="preserve">eodem modo delineandus eſt alter tropicum ♋.
              <lb/>
            </s>
            <s xml:id="echoid-s20836" xml:space="preserve">necnon reliqui paralelli. </s>
            <s xml:id="echoid-s20837" xml:space="preserve">Poſtea eadem ratione, qua ſupra cum particulari Inſtrumento, deſcriban-
              <lb/>
            tur in muro lineæ Ital. </s>
            <s xml:id="echoid-s20838" xml:space="preserve">Aſtronom. </s>
            <s xml:id="echoid-s20839" xml:space="preserve">& </s>
            <s xml:id="echoid-s20840" xml:space="preserve">Babylon. </s>
            <s xml:id="echoid-s20841" xml:space="preserve">vſque ad tropicos tãtum; </s>
            <s xml:id="echoid-s20842" xml:space="preserve">ſiue enim lineæ horarij ltal. </s>
            <s xml:id="echoid-s20843" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s20844" xml:space="preserve">Babylon. </s>
            <s xml:id="echoid-s20845" xml:space="preserve">ſint longiores, ſiue breuiores, quam pro data altitudine poli, ſemper tamen earum ter-
              <lb/>
            mini in muro debent eſ@e tropici. </s>
            <s xml:id="echoid-s20846" xml:space="preserve">Quando ſunt longiores, filum continendum eſt intra trop. </s>
            <s xml:id="echoid-s20847" xml:space="preserve">in pa-
              <lb/>
            riete; </s>
            <s xml:id="echoid-s20848" xml:space="preserve">quando ſunt breuiores, earum portiones deſcribendæ ſunt maiores quæ haberi poſſunt: </s>
            <s xml:id="echoid-s20849" xml:space="preserve">& </s>
            <s xml:id="echoid-s20850" xml:space="preserve">po-
              <lb/>
            ſtea producendæ ſunt auxilio regulæ recta vſq; </s>
            <s xml:id="echoid-s20851" xml:space="preserve">ad vtrunq; </s>
            <s xml:id="echoid-s20852" xml:space="preserve">tropicum; </s>
            <s xml:id="echoid-s20853" xml:space="preserve">hac énim ratione non tantum
              <lb/>
            terminabũtur à tropicis, ſed etiam à cęteris paralellis ſignorum, & </s>
            <s xml:id="echoid-s20854" xml:space="preserve">arcuum diurnorum 10. </s>
            <s xml:id="echoid-s20855" xml:space="preserve">& </s>
            <s xml:id="echoid-s20856" xml:space="preserve">14. </s>
            <s xml:id="echoid-s20857" xml:space="preserve">prius
              <lb/>
            deſcriptis, ritè ſecabuntur. </s>
            <s xml:id="echoid-s20858" xml:space="preserve">In cęteris igitur agendum eſt ſicuti in vſu particularis Inſtrumenti.</s>
            <s xml:id="echoid-s20859" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20860" xml:space="preserve">3 Tandem notandum eſt poſſe eodem modo in quouis plano quantumuis inclinato atque etiam
              <lb/>
            horizontali horologia deſcribi. </s>
            <s xml:id="echoid-s20861" xml:space="preserve">Si in ſuperficie inæquali concaua, aut conuexa; </s>
            <s xml:id="echoid-s20862" xml:space="preserve">lineamenta tamen
              <lb/>
            eſſent fimiliter curua, quæ quia raro contingunt, & </s>
            <s xml:id="echoid-s20863" xml:space="preserve">ex dictis facilia, ideo Lectoris prudentiæ re-
              <lb/>
            linquantur.</s>
            <s xml:id="echoid-s20864" xml:space="preserve"/>
          </p>
        </div>
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