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-div385" type="section" level="1" n="279">
          <pb o="189" file="0211" n="216" rhead="Liber Decimusoctamus."/>
          <note position="right" xml:space="preserve">
            <lb/>
          Secundus. # 0 # 3 # 13
            <lb/>
          Tertius. # 0 # 7 # 4
            <lb/>
          Quartus. # 0 # 16 # 18
            <lb/>
          Saturnus totum Zodiacum. # 29 # 174 # 0
            <lb/>
          Epicyclum. # 1 # 13 # 0
            <lb/>
          Comites Saturni adhuc incomperti motus.
            <lb/>
          Inerrantes Stellæ totum Zodiacum obibunt. # 28′800′ # 0 # 0
            <lb/>
          Motus primi mobilis, ſeu totius cæleſtis regio. # 0 # 1 # 0
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div386" type="section" level="1" n="280">
          <head xml:id="echoid-head301" style="it" xml:space="preserve">Colophon. De Cælo Empyre@.</head>
          <p>
            <s xml:id="echoid-s16309" xml:space="preserve">POſtremo omnium ſupra Firmamentum Theologhi aliud Cœlum eſſe affirmant, nulla quidem præditum
              <lb/>
            ſtella, aut motu, ſed fælicem Beatorum mentium ſedem, quod Empyreum ab igne, ſeu claritate vocant,
              <lb/>
            Hoc tamen ab Aſtronomis vllo modo cognoſci nequit, cum nihil inde noſtris ſenſibus ingeratur.</s>
            <s xml:id="echoid-s16310" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div387" type="section" level="1" n="281">
          <head xml:id="echoid-head302" style="it" xml:space="preserve">Appendix. De vſu Sphæra
            <unsure/>
          Armillaris.</head>
          <p>
            <s xml:id="echoid-s16311" xml:space="preserve">SOlent nonnulli ſcriptores ſeorſim de vſu Sphæræ materialis, & </s>
            <s xml:id="echoid-s16312" xml:space="preserve">armillaris agere, docentes qua ratione
              <lb/>
            per eam inueniamus ſequentia; </s>
            <s xml:id="echoid-s16313" xml:space="preserve">locum Solis in Zodiaco ſiue, gradum Solis quouis die dato. </s>
            <s xml:id="echoid-s16314" xml:space="preserve">Secundo, De-
              <lb/>
            clinatione@ omnium graduu eclipticæ. </s>
            <s xml:id="echoid-s16315" xml:space="preserve">Tertio, Aſcenſionem rectam cuiuſuis dati arcus, necnon gradus ecli-
              <lb/>
            pticæ. </s>
            <s xml:id="echoid-s16316" xml:space="preserve">Quarto, Altitudinem Solis ſupra horizontem. </s>
            <s xml:id="echoid-s16317" xml:space="preserve">Quinto, Lineam meridianam. </s>
            <s xml:id="echoid-s16318" xml:space="preserve">Sexto, Poli altitu
              <lb/>
            dinem. </s>
            <s xml:id="echoid-s16319" xml:space="preserve">Septimo, Quatuor mundi plagas, ac ventum flantem. </s>
            <s xml:id="echoid-s16320" xml:space="preserve">Octauo, Latitudinem ortiuam, occiduamue
              <lb/>
            Solis. </s>
            <s xml:id="echoid-s16321" xml:space="preserve">Nono, Arcum ſemidiurnum, ac diurnum, nocturnumque. </s>
            <s xml:id="echoid-s16322" xml:space="preserve">Decimo, Qua hora Sol oriatur, ſit meri-
              <lb/>
            dies, & </s>
            <s xml:id="echoid-s16323" xml:space="preserve">media nox. </s>
            <s xml:id="echoid-s16324" xml:space="preserve">Vndecimo, Horam labentem interdiu. </s>
            <s xml:id="echoid-s16325" xml:space="preserve">Duodecimo, Quantitatem Auroræ, ſeu crepu-
              <lb/>
            ſculi. </s>
            <s xml:id="echoid-s16326" xml:space="preserve">Decimotertio, Diem, & </s>
            <s xml:id="echoid-s16327" xml:space="preserve">hora æquinoctij. </s>
            <s xml:id="echoid-s16328" xml:space="preserve">quæ omnia, & </s>
            <s xml:id="echoid-s16329" xml:space="preserve">quidem ni fallor aptius ſuperius ſuis locis
              <lb/>
            inſeruimus, tantum in hunc locum differentes ſequens problema.</s>
            <s xml:id="echoid-s16330" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div388" type="section" level="1" n="282">
          <head xml:id="echoid-head303" style="it" xml:space="preserve">Constructio Horologij Italici horizontalis auxilio Sphæra materialis.</head>
          <p>
            <s xml:id="echoid-s16331" xml:space="preserve">INter cæteros hui@s Sphæræ vſus egregius ille eſt, quo Solaria Horologia conſtrui poſſunt.</s>
            <s xml:id="echoid-s16332" xml:space="preserve">
              <unsure/>
            idque in hunc
              <lb/>
            modum: </s>
            <s xml:id="echoid-s16333" xml:space="preserve">Oportet primo Sphæram huic negotio ſic adaptare; </s>
            <s xml:id="echoid-s16334" xml:space="preserve">eleua polum iuxta tuam habitationem, po-
              <lb/>
            ſtea collocato vno colurorum ſub meridiano, obfirma partem Sphæræ, quam primum mobile diximus, cum
              <lb/>
            meridiano, & </s>
            <s xml:id="echoid-s16335" xml:space="preserve">horizonte, ita vt moueri nequeat. </s>
            <s xml:id="echoid-s16336" xml:space="preserve">Secundo diuide vtrumq; </s>
            <s xml:id="echoid-s16337" xml:space="preserve">Tropicum, & </s>
            <s xml:id="echoid-s16338" xml:space="preserve">Æquatorem in par-
              <lb/>
            tes 24. </s>
            <s xml:id="echoid-s16339" xml:space="preserve">æquales, facto initio ab horizonte occiduo, & </s>
            <s xml:id="echoid-s16340" xml:space="preserve">procedendo ſupra horizontem verſus orientem; </s>
            <s xml:id="echoid-s16341" xml:space="preserve">hæ
              <lb/>
            autem diuiſiones oportet attingant ipſam lineam tropici, & </s>
            <s xml:id="echoid-s16342" xml:space="preserve">æquatoris, quibus appone numeros horarum;
              <lb/>
            </s>
            <s xml:id="echoid-s16343" xml:space="preserve">ſic, in ipſo horizõte occiduo iuxta primas tres diuiſiones ſint tres num. </s>
            <s xml:id="echoid-s16344" xml:space="preserve">24. </s>
            <s xml:id="echoid-s16345" xml:space="preserve">duo in tropicis, reliquus in æqua-
              <lb/>
            tione; </s>
            <s xml:id="echoid-s16346" xml:space="preserve">ſic, ternis diuiſionibus ſecundis, adde tres numerns 23. </s>
            <s xml:id="echoid-s16347" xml:space="preserve">duos in tropicis, reliquum in æquationem. </s>
            <s xml:id="echoid-s16348" xml:space="preserve">idem
              <lb/>
            fac tertijs, adſcribendo illis ter. </s>
            <s xml:id="echoid-s16349" xml:space="preserve">22. </s>
            <s xml:id="echoid-s16350" xml:space="preserve">eodem modo cum alijs ternis punctis facies vſque ad vltimum tropici æſti-
              <lb/>
            ui punctum, quod eſt ſupra horizontem, notando ternos numeros, etiamſi puncta æquatoris, aut tropici hy-
              <lb/>
            berni, correſpondentia punctis æſtiui tropici, ſint infra horizontem.</s>
            <s xml:id="echoid-s16351" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16352" xml:space="preserve">Sed hoc loco addenda eſt horizonti ortiuo ſponda quædam aliquantulum ſupra ipſum erecta inter tropi-
              <lb/>
            cos, in cuius ſummitate notanda ſunt puncta, & </s>
            <s xml:id="echoid-s16353" xml:space="preserve">numeri pro ijs punctis, & </s>
            <s xml:id="echoid-s16354" xml:space="preserve">numeris æquatoris, & </s>
            <s xml:id="echoid-s16355" xml:space="preserve">tropi-
              <lb/>
            ci hyberni, quæ infra horizontem ceciderint; </s>
            <s xml:id="echoid-s16356" xml:space="preserve">quæ ſcilicet correſpondent in eadem numeratione punctis,
              <lb/>
            & </s>
            <s xml:id="echoid-s16357" xml:space="preserve">numeris tropici æſtiui exiſtentibus ſupra. </s>
            <s xml:id="echoid-s16358" xml:space="preserve">ſunt autem notanda hac ratione, extende filum ſuper tres nu-
              <lb/>
            meros eiuſdem appellationis a tropico æſtiuo per æquatorem, vſque ad hybernum@, & </s>
            <s xml:id="echoid-s16359" xml:space="preserve">vbi hoc filum teti-
              <lb/>
            gerit interius ſpondam, ibi notabis in ſummitate ſpondæ punctum, & </s>
            <s xml:id="echoid-s16360" xml:space="preserve">numerum eundem, qui erat infra
              <lb/>
            horizontem, hic enim numerus inſeruit pro numero infra exiſtente. </s>
            <s xml:id="echoid-s16361" xml:space="preserve">in eleuatione Parmenſi gi
              <unsure/>
            ad. </s>
            <s xml:id="echoid-s16362" xml:space="preserve">ferè 45.
              <lb/>
            </s>
            <s xml:id="echoid-s16363" xml:space="preserve">puncta, & </s>
            <s xml:id="echoid-s16364" xml:space="preserve">numeros horarum 9. </s>
            <s xml:id="echoid-s16365" xml:space="preserve">10. </s>
            <s xml:id="echoid-s16366" xml:space="preserve">11. </s>
            <s xml:id="echoid-s16367" xml:space="preserve">12. </s>
            <s xml:id="echoid-s16368" xml:space="preserve">13. </s>
            <s xml:id="echoid-s16369" xml:space="preserve">14. </s>
            <s xml:id="echoid-s16370" xml:space="preserve">15. </s>
            <s xml:id="echoid-s16371" xml:space="preserve">tropici Capricorni, ſunt infra. </s>
            <s xml:id="echoid-s16372" xml:space="preserve">in æquatore ſunttan-
              <lb/>
            tum infra hi, 9. </s>
            <s xml:id="echoid-s16373" xml:space="preserve">10. </s>
            <s xml:id="echoid-s16374" xml:space="preserve">11. </s>
            <s xml:id="echoid-s16375" xml:space="preserve">12. </s>
            <s xml:id="echoid-s16376" xml:space="preserve">tamen eſt in ipſo horizonte, ſed notandus eſt in ſponda. </s>
            <s xml:id="echoid-s16377" xml:space="preserve">in tropico autem Cancri
              <lb/>
            omnes ſunt ſupra. </s>
            <s xml:id="echoid-s16378" xml:space="preserve">in ſponda autem notandi ſunt omnes prędicti 9. </s>
            <s xml:id="echoid-s16379" xml:space="preserve">10. </s>
            <s xml:id="echoid-s16380" xml:space="preserve">11. </s>
            <s xml:id="echoid-s16381" xml:space="preserve">12. </s>
            <s xml:id="echoid-s16382" xml:space="preserve">13. </s>
            <s xml:id="echoid-s16383" xml:space="preserve">14. </s>
            <s xml:id="echoid-s16384" xml:space="preserve">15. </s>
            <s xml:id="echoid-s16385" xml:space="preserve">vt inſeruiant pro exi-
              <lb/>
            ſtentibus inſra, vti per nuper diximus. </s>
            <s xml:id="echoid-s16386" xml:space="preserve">quanta autem eſſe debeat altitudo ſpondæ, vſus docebit. </s>
            <s xml:id="echoid-s16387" xml:space="preserve">Tertio, axis
              <lb/>
            materialis auferatur; </s>
            <s xml:id="echoid-s16388" xml:space="preserve">poſtea filum extende ab ortu, ad occaſum in ſuperficie horizontis, quod referat diame-
              <lb/>
            trum horizontis; </s>
            <s xml:id="echoid-s16389" xml:space="preserve">in cuius medio, quod exacte ſit centrum horizontis, ſiue ſphæræ, notetur punctum appa-
              <lb/>
            renti colore. </s>
            <s xml:id="echoid-s16390" xml:space="preserve">Quarto, accipiatur tabella exacte complanata, in qua deſcribendum eſt horologium, tantæ
              <lb/>
            magnitudinis, vt poſſit intra ſphæram collocari. </s>
            <s xml:id="echoid-s16391" xml:space="preserve">è medio eius perpendiculariter erigatur ſtylus acutus ſatis
              <lb/>
            breuis, quantus autem depeat eſſe hic ſtylus, vſus poſtea docebit; </s>
            <s xml:id="echoid-s16392" xml:space="preserve">debet enim tantus eſſe, vt radius, de quo
              <lb/>
            mox dicam, per apicem eius tranſieus tabellæ occurrere poſſit. </s>
            <s xml:id="echoid-s16393" xml:space="preserve">Hæc intra ſphæram collocetur, ita vt ſit in fra
              <lb/>
            horizontem, ſed ei tamen æquidiſtans, apexque ſtyli præcisè pungat punctum fili medium, quod ſphæræ eſt
              <lb/>
            centrum, in quo ſtatu tabela obfirmetur, vt dimoueri nequeat poſtea filum auferatur. </s>
            <s xml:id="echoid-s16394" xml:space="preserve">Quinto, accipe filum
              <lb/>
            æneum ſubtiliſſimum, atque rectiſſimum, qui Solaris radijs vices gerat tantę longitudinis, quanta eſt ſphæ-
              <lb/>
            ræ diameter ſitque ex altero capite acuminatus.</s>
            <s xml:id="echoid-s16395" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16396" xml:space="preserve">Hiſce paratis ad linearum horariam deſcriptionem ſic aggredere; </s>
            <s xml:id="echoid-s16397" xml:space="preserve">velis exempli gratia, horam 23. </s>
            <s xml:id="echoid-s16398" xml:space="preserve">ſeu li-
              <lb/>
            neam eius in tabella delineare; </s>
            <s xml:id="echoid-s16399" xml:space="preserve">immitte igitur radium, qua parte accuminatus eſt, per punctum horæ 23. </s>
            <s xml:id="echoid-s16400" xml:space="preserve"/>
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