Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

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        <div xml:id="echoid-div857" type="section" level="1" n="206">
          <p>
            <s xml:id="echoid-s16795" xml:space="preserve">
              <pb o="251" file="0267" n="267" rhead="LIBER SECVNDVS."/>
            propoſ. </s>
            <s xml:id="echoid-s16796" xml:space="preserve">37. </s>
            <s xml:id="echoid-s16797" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s16798" xml:space="preserve">1. </s>
            <s xml:id="echoid-s16799" xml:space="preserve">Apollonii docuimus.) </s>
            <s xml:id="echoid-s16800" xml:space="preserve">deſcripta rurſus erunt aſcendentia ſigna, vt conſtat ex de-
              <lb/>
            monſtratis propoſ. </s>
            <s xml:id="echoid-s16801" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16802" xml:space="preserve">huius lib.</s>
            <s xml:id="echoid-s16803" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16804" xml:space="preserve">PORRO lineas ♈, & </s>
            <s xml:id="echoid-s16805" xml:space="preserve">♎, quæ per punctum A, neceſſario tranſeunt, vbi horizontalis linea,
              <lb/>
              <note position="right" xlink:label="note-0267-01" xlink:href="note-0267-01a" xml:space="preserve">Quomodo de-
                <lb/>
              ſcribantur ſi-
                <lb/>
              gna aſcẽdentia
                <lb/>
              Ar
                <unsure/>
              ietis, & Li-
                <lb/>
              br
                <unsure/>
              ę.</note>
            & </s>
            <s xml:id="echoid-s16806" xml:space="preserve">æquinoctialis, & </s>
            <s xml:id="echoid-s16807" xml:space="preserve">linea horæ 6. </s>
            <s xml:id="echoid-s16808" xml:space="preserve">à meridie, vel media nocte ſe mutuo interſecãt, (propterea quòd
              <lb/>
            Sole exiſtente in principio ♈, principium ♈, aſcendat ſupra Horizontem hora 6. </s>
            <s xml:id="echoid-s16809" xml:space="preserve">ante meridiem,
              <lb/>
            & </s>
            <s xml:id="echoid-s16810" xml:space="preserve">principium ♎, hora 6. </s>
            <s xml:id="echoid-s16811" xml:space="preserve">poſt meridiem: </s>
            <s xml:id="echoid-s16812" xml:space="preserve">Sole vero exiſtente in principio ♎, principium ♈, aſcẽ-
              <lb/>
            dat hora 6. </s>
            <s xml:id="echoid-s16813" xml:space="preserve">poſt meridiem, principium autem ♎, hora 6. </s>
            <s xml:id="echoid-s16814" xml:space="preserve">ante meridiem, vt patet) hoc modo de-
              <lb/>
            ſcribemus. </s>
            <s xml:id="echoid-s16815" xml:space="preserve">Quoniam Ecliptica ſecat Æquatorem in principio ♈, & </s>
            <s xml:id="echoid-s16816" xml:space="preserve">♎, fa citq́ue cum eo duos an-
              <lb/>
            gulos grad. </s>
            <s xml:id="echoid-s16817" xml:space="preserve">23. </s>
            <s xml:id="echoid-s16818" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s16819" xml:space="preserve">30. </s>
            <s xml:id="echoid-s16820" xml:space="preserve">quanta nimirum eſt maxima declinatio Solis, ſi ad vtraſque partes æquino-
              <lb/>
            ctialis lineæ ad punctum A, conſtituamus duos angulos grad. </s>
            <s xml:id="echoid-s16821" xml:space="preserve">23. </s>
            <s xml:id="echoid-s16822" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s16823" xml:space="preserve">30. </s>
            <s xml:id="echoid-s16824" xml:space="preserve">(quod fiet, ſi ex A, de-
              <lb/>
              <note position="left" xlink:label="note-0267-02" xlink:href="note-0267-02a" xml:space="preserve">10</note>
            ſcribatur circunferentia circuli, ex qua accipiãtur duo arcus hinc inde ab æquinoctiali linea grad.
              <lb/>
            </s>
            <s xml:id="echoid-s16825" xml:space="preserve">23. </s>
            <s xml:id="echoid-s16826" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s16827" xml:space="preserve">30. </s>
            <s xml:id="echoid-s16828" xml:space="preserve">& </s>
            <s xml:id="echoid-s16829" xml:space="preserve">ex A, per fines arcuum lineæ rectæ ducantur.) </s>
            <s xml:id="echoid-s16830" xml:space="preserve">deſcriptæ erunt lineæ ♈, & </s>
            <s xml:id="echoid-s16831" xml:space="preserve">♎, quarũ
              <lb/>
            ea, quæ vergit ad tropicum ♋, dabit initium ♎, altera vero initium ♈; </s>
            <s xml:id="echoid-s16832" xml:space="preserve">quia in ſphæra cæleſti, poſi
              <lb/>
            to principio ♎, in oriente, Ecliptica ab Æquatore deflectit in Boream, verſus parallelum ♋; </s>
            <s xml:id="echoid-s16833" xml:space="preserve">in
              <lb/>
            auſtrum verò, verſus tropicũ ♑, conſtituto principio ♈, in ortu, vt ex ſphæra materiali cõſtat. </s>
            <s xml:id="echoid-s16834" xml:space="preserve">Hinc
              <lb/>
            enim fit, vt principio ♎, in oriente conſtituto, omnia puncta ſemicirculi Eclipticæ borealis ſupra
              <lb/>
            Horizontem exiſtentia, in quorum aliquo neceſſe eſt Sol exiſtat, cum principiũ ♎, interdiu oritur,
              <lb/>
            proiiciant vmbras in partes oppoſitas, nempe auſtrales, ad quas tropicus ♋, quoque vergit; </s>
            <s xml:id="echoid-s16835" xml:space="preserve">Princi
              <lb/>
            pio vero ♈, poſito in oriente, puncta omnia ſemicirculi Eclipticæ auſtralis exiſtentia ſupra Hori-
              <lb/>
            zontem, in quorum aliquo neceſſario Sol exiſtit, cum principium ♈, interdiu oritur, proijciant vm
              <lb/>
              <note position="left" xlink:label="note-0267-03" xlink:href="note-0267-03a" xml:space="preserve">20</note>
            bras in oppoſitas partes, vt in boreales, ad quas tropicus ♑, declinat. </s>
            <s xml:id="echoid-s16836" xml:space="preserve">Quòd autem hoc modo re-
              <lb/>
            cte ſint deſcriptæ lineæ ♈, & </s>
            <s xml:id="echoid-s16837" xml:space="preserve">♎, ita perſpicuum fiet. </s>
            <s xml:id="echoid-s16838" xml:space="preserve">Quia poſito principio ♈, vel ♎, in ortu, ſty-
              <lb/>
            lus horologij communis ſectio eſt plani Eclipticæ, & </s>
            <s xml:id="echoid-s16839" xml:space="preserve">Æquatoris, occurret vterque circulus plano
              <lb/>
            horologii in A, puncto Quia vero communes ſectiones, quas Ecliptica & </s>
            <s xml:id="echoid-s16840" xml:space="preserve">Æquator in plano ho-
              <lb/>
            rologii faciunt, parallelæ ſunt communibus ſectionibus, quas faciunt in Meridiano circulo, æqua-
              <lb/>
              <note position="right" xlink:label="note-0267-04" xlink:href="note-0267-04a" xml:space="preserve">16. vndec.</note>
            lis erit angulus linea æquinoctiali, & </s>
            <s xml:id="echoid-s16841" xml:space="preserve">linea ♈, vel ♎, contentus in plano horologij, angulo eiſdem
              <lb/>
              <note position="right" xlink:label="note-0267-05" xlink:href="note-0267-05a" xml:space="preserve">10. vndec.</note>
            lineis comprehenſo in plano Meridiani circuli. </s>
            <s xml:id="echoid-s16842" xml:space="preserve">Cum ergo in plano Meridiani circuli dictus angu
              <lb/>
            lus complectatur grad. </s>
            <s xml:id="echoid-s16843" xml:space="preserve">23. </s>
            <s xml:id="echoid-s16844" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s16845" xml:space="preserve">30. </s>
            <s xml:id="echoid-s16846" xml:space="preserve">conſtat propoſitum.</s>
            <s xml:id="echoid-s16847" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16848" xml:space="preserve">ALITER delineabuntur ſigna aſcendentia hunc in modum. </s>
            <s xml:id="echoid-s16849" xml:space="preserve">Ex tabella 8. </s>
            <s xml:id="echoid-s16850" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s16851" xml:space="preserve">9 huius
              <lb/>
              <note position="right" xlink:label="note-0267-06" xlink:href="note-0267-06a" xml:space="preserve">Alia deſcriptio
                <lb/>
              ſigno
                <unsure/>
              rum aſcen
                <lb/>
              denti
                <unsure/>
              um in ho
                <lb/>
              rologio Meri-
                <lb/>
              diano, per pun-
                <lb/>
              cta Eclipti
                <unsure/>
              cæ in
                <lb/>
              circulis horæ 1.
                <lb/>
              à mer. & 11. à
                <lb/>
              med. noc. exiſtẽ-
                <lb/>
              tia, cum princi-
                <lb/>
              pia ſignoru@
                <lb/>
              aſcendunt.</note>
            lib. </s>
            <s xml:id="echoid-s16852" xml:space="preserve">accipiantur declinationes omnium punctorum in circulo horæ 11. </s>
            <s xml:id="echoid-s16853" xml:space="preserve">ante meridiem exiſtentiũ,
              <lb/>
              <note position="left" xlink:label="note-0267-07" xlink:href="note-0267-07a" xml:space="preserve">30</note>
            quæ quidem hora eſt vndecima poſt med. </s>
            <s xml:id="echoid-s16854" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s16855" xml:space="preserve">& </s>
            <s xml:id="echoid-s16856" xml:space="preserve">ſecundũ doctrinã propoſ. </s>
            <s xml:id="echoid-s16857" xml:space="preserve">26. </s>
            <s xml:id="echoid-s16858" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16859" xml:space="preserve">in linea
              <lb/>
            horę 11. </s>
            <s xml:id="echoid-s16860" xml:space="preserve">in horologio orientali reperiantur puncta, per quæ duci debent paralleli illarũ declinatio-
              <lb/>
            num. </s>
            <s xml:id="echoid-s16861" xml:space="preserve">Hæc enim puncta cum reſpondentibus punctis in horizontali linea repertis iuncta dabunt
              <lb/>
            aſcendẽtia ſigna. </s>
            <s xml:id="echoid-s16862" xml:space="preserve">Vel certe ex tabella 9. </s>
            <s xml:id="echoid-s16863" xml:space="preserve">eiuſdem propoſ. </s>
            <s xml:id="echoid-s16864" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16865" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16866" xml:space="preserve">ſumantur declinationes pun-
              <lb/>
            ctorum in circulo horæ primæ antemeridianæ exiſtentium, quæ eſt hora prima poſt med. </s>
            <s xml:id="echoid-s16867" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s16868" xml:space="preserve">& </s>
            <s xml:id="echoid-s16869" xml:space="preserve">
              <lb/>
            ſecundũ doctrinã propoſ. </s>
            <s xml:id="echoid-s16870" xml:space="preserve">26. </s>
            <s xml:id="echoid-s16871" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16872" xml:space="preserve">reperiantur puncta in linea horæ 1. </s>
            <s xml:id="echoid-s16873" xml:space="preserve">à media nocte, hoc eſt,
              <lb/>
            primę antemeridianę, (quę quidem ſupra lineã horizõtalem deſcribitur tantũ ab ea diſtans, quã-
              <lb/>
            tum linea horę 11. </s>
            <s xml:id="echoid-s16874" xml:space="preserve">infra eandem ab ea diſtat.) </s>
            <s xml:id="echoid-s16875" xml:space="preserve">per quę paralleli illarum declinationum duci debẽt.
              <lb/>
            </s>
            <s xml:id="echoid-s16876" xml:space="preserve">Hęc enim iuncta cum reſpondentibus punctis in hora 11. </s>
            <s xml:id="echoid-s16877" xml:space="preserve">inuentis dabunt ſigna aſcendentia, vt
              <lb/>
            prius, quę neceſſario tranſibunt per puncta horizontalis lineę.</s>
            <s xml:id="echoid-s16878" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s16879" xml:space="preserve">RVRSVS ex tabella 9. </s>
            <s xml:id="echoid-s16880" xml:space="preserve">eiuſdem propoſ. </s>
            <s xml:id="echoid-s16881" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16882" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16883" xml:space="preserve">accipiantur declinationes punctorum in
              <lb/>
            circulo horę 1. </s>
            <s xml:id="echoid-s16884" xml:space="preserve">poſt meridiem exiſtentium, & </s>
            <s xml:id="echoid-s16885" xml:space="preserve">ſecundum doctrinam propoſ. </s>
            <s xml:id="echoid-s16886" xml:space="preserve">26. </s>
            <s xml:id="echoid-s16887" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16888" xml:space="preserve">in linea
              <lb/>
            horę 1. </s>
            <s xml:id="echoid-s16889" xml:space="preserve">in occidentali horologio puncta inueſtigentur, per quæ paralleli illarum declinationum
              <lb/>
            ducendi ſunt. </s>
            <s xml:id="echoid-s16890" xml:space="preserve">Hęc enim puncta lineis rectis cum reſpondentibus punctis lineæ horizontalis con-
              <lb/>
            nexa dabunt aſcendentia ſigna. </s>
            <s xml:id="echoid-s16891" xml:space="preserve">Vel certe ex tabella 8. </s>
            <s xml:id="echoid-s16892" xml:space="preserve">eiuſdem propoſ. </s>
            <s xml:id="echoid-s16893" xml:space="preserve">9 huius lib. </s>
            <s xml:id="echoid-s16894" xml:space="preserve">capiantur decli-
              <lb/>
            nationes punctorum in circulo horę 11. </s>
            <s xml:id="echoid-s16895" xml:space="preserve">poſt meridiem exiſtentium, & </s>
            <s xml:id="echoid-s16896" xml:space="preserve">per doctrinam propoſ. </s>
            <s xml:id="echoid-s16897" xml:space="preserve">26.
              <lb/>
            </s>
            <s xml:id="echoid-s16898" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16899" xml:space="preserve">inueniantur puncta in linea horę 11. </s>
            <s xml:id="echoid-s16900" xml:space="preserve">poſt meridiem, (quę quidem ſupra lineam horizõ-
              <lb/>
            talem deſcribitur tantum ab ea diſtans, quantum ab eadem diſtat linea horę 1. </s>
            <s xml:id="echoid-s16901" xml:space="preserve">à meridie.) </s>
            <s xml:id="echoid-s16902" xml:space="preserve">per quę
              <lb/>
            illarum declinationum paralleli duci debent. </s>
            <s xml:id="echoid-s16903" xml:space="preserve">Hęc enim puncta lineis rectis cum punctis reſpon-
              <lb/>
            dentibus in hora 1. </s>
            <s xml:id="echoid-s16904" xml:space="preserve">à mer inuentis coniuncta dabunt ſigna aſcendentia, vt prius; </s>
            <s xml:id="echoid-s16905" xml:space="preserve">quę neceſſario
              <lb/>
              <note position="left" xlink:label="note-0267-09" xlink:href="note-0267-09a" xml:space="preserve">50</note>
            per inuenta puncta in linea horizontali tranſibunt.</s>
            <s xml:id="echoid-s16906" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16907" xml:space="preserve">QVOD ſi ex tabella 7. </s>
            <s xml:id="echoid-s16908" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s16909" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16910" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16911" xml:space="preserve">inueniantur in linea horę 6. </s>
            <s xml:id="echoid-s16912" xml:space="preserve">puncta, per quę tran-
              <lb/>
              <note position="right" xlink:label="note-0267-10" xlink:href="note-0267-10a" xml:space="preserve">Alia deſcriptio
                <lb/>
              ſignorum aſcen
                <lb/>
              dentium, ex do
                <lb/>
              ctrina conicorũ
                <lb/>
              Apoll.</note>
            ſeunt paralleli declinationum punctorum Eclipticę in hora 6. </s>
            <s xml:id="echoid-s16913" xml:space="preserve">exiſtentium, & </s>
            <s xml:id="echoid-s16914" xml:space="preserve">per illa ducatur, ſe-
              <lb/>
            cundum doctrinam coroll. </s>
            <s xml:id="echoid-s16915" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s16916" xml:space="preserve">37. </s>
            <s xml:id="echoid-s16917" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s16918" xml:space="preserve">1. </s>
            <s xml:id="echoid-s16919" xml:space="preserve">Apollonij, lineę rectę tangentes tropicos, habebuntur
              <lb/>
            ſigna, vt prius, vt liquet ex iis, quę propoſ. </s>
            <s xml:id="echoid-s16920" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16921" xml:space="preserve">huius lib demonſtrauimus. </s>
            <s xml:id="echoid-s16922" xml:space="preserve">Igitur ſigna Zodiaci aſcẽ-
              <lb/>
            dentia in eodem Meridiano horologio deſcripſimus. </s>
            <s xml:id="echoid-s16923" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s16924" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div865" type="section" level="1" n="207">
          <head xml:id="echoid-head210" style="it" xml:space="preserve">SCHOLIVM.</head>
          <note position="right" xml:space="preserve">Alia adhuc de-
            <lb/>
          ſcriptio ſignorũ
            <lb/>
          aſcendentium,
            <lb/>
          ſecundum pra-
            <lb/>
          xim Andreæ
            <lb/>
          Schoneri.</note>
          <p style="it">
            <s xml:id="echoid-s16925" xml:space="preserve">SECVNDVM doctrinam Andreæ Schoneri ita deſcribi poterunt ſigna aſcendentia. </s>
            <s xml:id="echoid-s16926" xml:space="preserve">In prima
              <lb/>
            figura ſcholij propoſ. </s>
            <s xml:id="echoid-s16927" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16928" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16929" xml:space="preserve">abſcindatur recta E a, ex recta E C, gnomoni borologii æqualis, et per </s>
          </p>
        </div>
      </text>
    </echo>
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