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

Page concordance

< >
Scan Original
121 101
122 102
123 103
124 104
125 105
126 106
127 107
128 108
129 109
130 110
131 111
132 112
133 113
134 114
135 115
136 116
137 117
138 118
139 119
140 120
141 121
142 122
143 123
144 124
145 125
146 126
147 127
148 128
149 129
150 130
< >
page |< < (169) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div576" type="section" level="1" n="146">
          <pb o="169" file="0189" n="189" rhead="LIBER SECVNDVS."/>
          <p style="it">
            <s xml:id="echoid-s10916" xml:space="preserve">PORRO vſus parallelorum, ſiue arcuum ſignorum Zodiaci in omnibus horologijs eſt, vt per eos ſcia
              <lb/>
              <note position="right" xlink:label="note-0189-01" xlink:href="note-0189-01a" xml:space="preserve">Vſus arcuum
                <lb/>
              ſignorum in ho
                <lb/>
              rologio deſcri-
                <lb/>
              p@o@um, quibus
                <lb/>
              diſcimus, qua
                <lb/>
              in parte Zo-
                <lb/>
              diaci Sol exi-
                <lb/>
              ſtat.</note>
            mus, quonam in ſigno Zodiaci Sol quotidie verſetur. </s>
            <s xml:id="echoid-s10917" xml:space="preserve">Quotieſcunque enim vmbræ extremitas in aliquem
              <lb/>
            arcum in horologio deſcriptum cadit pręcisè, ac proinde toto illo die ab eo minimè recedit, exiſtet neceſ-
              <lb/>
            ſario tunc Sol in prineipio illius ſigni Zodiaci, quod arcus prędictus repræſent at. </s>
            <s xml:id="echoid-s10918" xml:space="preserve">Quando autem non prę-
              <lb/>
            cisè in aliquem arcum cadit vmbra, ſed in ſpatium inter duos arcus concluſum, non verſabitur tunc Sol
              <lb/>
            in principio alicuius ſigni, ſed vel iuxta princi@ium, vel in medio, vel prope finem, vel deniq; </s>
            <s xml:id="echoid-s10919" xml:space="preserve">in alia qua-
              <lb/>
            piam parte illius, pro proportione diſtantiæ vmbrę ab arcu illius ſigni. </s>
            <s xml:id="echoid-s10920" xml:space="preserve">Vt autem cognoſcamus, quodnam
              <lb/>
            duorum ſignorum, quæ cuilibet arcui, (exceptis duobus tropicis) ſunt aſcripta, accipiendum ſit, obſeruan
              <lb/>
            dum erit, quanam in parte anni verſemur. </s>
            <s xml:id="echoid-s10921" xml:space="preserve">Nam cum à duodecimo die Iunij vſque ad diem duodecimum
              <lb/>
            Decembris, percurr at hac tempeſtate Sol hæc ſex ſigna: </s>
            <s xml:id="echoid-s10922" xml:space="preserve">♋, ♌, ♍, ♎, ♏, & </s>
            <s xml:id="echoid-s10923" xml:space="preserve">♐: </s>
            <s xml:id="echoid-s10924" xml:space="preserve">Alia autem ſex, vt ♑,
              <lb/>
              <note position="left" xlink:label="note-0189-02" xlink:href="note-0189-02a" xml:space="preserve">10</note>
            ♒, ♓, ♈, ♉, & </s>
            <s xml:id="echoid-s10925" xml:space="preserve">♊, à die duodecimo Decembris vſque ad duodecimum diem Iunij, facile quibet iudica
              <lb/>
            re poterit, in quonam duorum ſignorum Sol existat. </s>
            <s xml:id="echoid-s10926" xml:space="preserve">Exempli gratia. </s>
            <s xml:id="echoid-s10927" xml:space="preserve">Si in aliquo die inter duodecimũ
              <lb/>
            Iunij, & </s>
            <s xml:id="echoid-s10928" xml:space="preserve">duodecimum Decembris extremitas vmbræ præcisè cadat in arcum, cui appoſita ſunt duo hæc
              <lb/>
            ſigna ♊, & </s>
            <s xml:id="echoid-s10929" xml:space="preserve">♌, exiſtet Sol in principio ♌, non autem in principio ♊: </s>
            <s xml:id="echoid-s10930" xml:space="preserve">Si autem vmbra cadat in ſpatium
              <lb/>
            inter dictum arcum, & </s>
            <s xml:id="echoid-s10931" xml:space="preserve">arcum alium horum duorum ſignorum ♉, & </s>
            <s xml:id="echoid-s10932" xml:space="preserve">♍, comprehenſum, verſabitur Sol
              <lb/>
            in aliquo gradu ♌, non autẽ ingradu aliquo ♊, vel ♍, vel ♉; </s>
            <s xml:id="echoid-s10933" xml:space="preserve">quia illo anni tempore non poteſt eſſe in ♊,
              <lb/>
            vel ♉, vt diximus, ſed vel in ♌, vel in ♍; </s>
            <s xml:id="echoid-s10934" xml:space="preserve">cum ergo Sol moueatur à ♌, in ♍, & </s>
            <s xml:id="echoid-s10935" xml:space="preserve">non è contrario, effici-
              <lb/>
            tur, illum tunc exiſtere in gradu aliquo ♌, non autem ♍. </s>
            <s xml:id="echoid-s10936" xml:space="preserve">Contrarium eſſet intelligendum, ſi in ea parte
              <lb/>
            anni, quæ inter duodecimum diem Decembris, & </s>
            <s xml:id="echoid-s10937" xml:space="preserve">duodecimum diem Iunij ponitur, verſaremur. </s>
            <s xml:id="echoid-s10938" xml:space="preserve">Nam tunc
              <lb/>
            vmbra cadente in arcum ♊, & </s>
            <s xml:id="echoid-s10939" xml:space="preserve">♌, Sol existeret in principio ♊: </s>
            <s xml:id="echoid-s10940" xml:space="preserve">cadente autem vmbra in idem ſpatium
              <lb/>
              <note position="left" xlink:label="note-0189-03" xlink:href="note-0189-03a" xml:space="preserve">20</note>
            inter dictum arcum, & </s>
            <s xml:id="echoid-s10941" xml:space="preserve">arcum ♉, & </s>
            <s xml:id="echoid-s10942" xml:space="preserve">♍, contentum, conſtitutus eſſet Sol in gradu aliquo ♉, quia à ♉, in
              <lb/>
            ♊, proprio motu progreditur. </s>
            <s xml:id="echoid-s10943" xml:space="preserve">& </s>
            <s xml:id="echoid-s10944" xml:space="preserve">ſic de cæteris.</s>
            <s xml:id="echoid-s10945" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div589" type="section" level="1" n="147">
          <head xml:id="echoid-head150" xml:space="preserve">PROBLEMA 3. PROPOSITIO 3.</head>
          <p>
            <s xml:id="echoid-s10946" xml:space="preserve">PARALLELOS arcuum diurnorum in eodem horologio ho-
              <lb/>
            rizontali deſcribere.</s>
            <s xml:id="echoid-s10947" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10948" xml:space="preserve">CVM paralleli arcuum diurnorum æquidiſtent Aequatori, quemadmodum & </s>
            <s xml:id="echoid-s10949" xml:space="preserve">paralleli ſigno
              <lb/>
              <note position="left" xlink:label="note-0189-04" xlink:href="note-0189-04a" xml:space="preserve">30</note>
              <note position="right" xlink:label="note-0189-05" xlink:href="note-0189-05a" xml:space="preserve">Deſcriptio ar-
                <lb/>
              cuum diurnorũ
                <lb/>
              in pradicto ho-
                <lb/>
              rologio norizon
                <lb/>
              tali.</note>
            rum Zodiaci, perſpicuum eſt, eandem eſſe & </s>
            <s xml:id="echoid-s10950" xml:space="preserve">illorum, & </s>
            <s xml:id="echoid-s10951" xml:space="preserve">horum deſcribendorum rationem. </s>
            <s xml:id="echoid-s10952" xml:space="preserve">Itaque
              <lb/>
            ſi in priori modo deſcriptionis pręcedẽte propoſ. </s>
            <s xml:id="echoid-s10953" xml:space="preserve">tradito, loco parallelorum, qui per ſigna Zodia-
              <lb/>
            ci ducuntur, ſumantur paralleli arcuum diurnorum, quorum declinationes propoſ. </s>
            <s xml:id="echoid-s10954" xml:space="preserve">33. </s>
            <s xml:id="echoid-s10955" xml:space="preserve">præceden-
              <lb/>
            tis libri inuentę ſunt: </s>
            <s xml:id="echoid-s10956" xml:space="preserve">in poſteriori autem, loco radiorum Zodiaci ex puncto D, egredientium aſ-
              <lb/>
            ſumantur radii arcuum diurnorum, vt ex his figuris appoſitis patet, in quarum priore continen-
              <lb/>
            tur paralleli, quorum arcus diurni horas continent 8. </s>
            <s xml:id="echoid-s10957" xml:space="preserve">9. </s>
            <s xml:id="echoid-s10958" xml:space="preserve">10. </s>
            <s xml:id="echoid-s10959" xml:space="preserve">11. </s>
            <s xml:id="echoid-s10960" xml:space="preserve">12. </s>
            <s xml:id="echoid-s10961" xml:space="preserve">13. </s>
            <s xml:id="echoid-s10962" xml:space="preserve">14. </s>
            <s xml:id="echoid-s10963" xml:space="preserve">15. </s>
            <s xml:id="echoid-s10964" xml:space="preserve">16. </s>
            <s xml:id="echoid-s10965" xml:space="preserve">in poſteriori
              <lb/>
              <figure xlink:label="fig-0189-01" xlink:href="fig-0189-01a" number="138">
                <image file="0189-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0189-01"/>
              </figure>
              <note position="left" xlink:label="note-0189-06" xlink:href="note-0189-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0189-07" xlink:href="note-0189-07a" xml:space="preserve">50</note>
              <gap/>
              <lb/>
            verò radij parallelorum, quorum arcus diurni continent horas. </s>
            <s xml:id="echoid-s10966" xml:space="preserve">0. </s>
            <s xml:id="echoid-s10967" xml:space="preserve">1. </s>
            <s xml:id="echoid-s10968" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10969" xml:space="preserve">3. </s>
            <s xml:id="echoid-s10970" xml:space="preserve">4. </s>
            <s xml:id="echoid-s10971" xml:space="preserve">5. </s>
            <s xml:id="echoid-s10972" xml:space="preserve">6. </s>
            <s xml:id="echoid-s10973" xml:space="preserve">& </s>
            <s xml:id="echoid-s10974" xml:space="preserve">ſic deinceps
              <lb/>
            vſque ad 24. </s>
            <s xml:id="echoid-s10975" xml:space="preserve">vbi totus parallelus eſt arcus diurnus; </s>
            <s xml:id="echoid-s10976" xml:space="preserve">deſcribemus parallelos arcuum diurnorum ea-
              <lb/>
            dem prorſus arte, qua parallelos ſignorum pręcedente propoſ. </s>
            <s xml:id="echoid-s10977" xml:space="preserve">deſcripſimus. </s>
            <s xml:id="echoid-s10978" xml:space="preserve">Qui quidem omnes
              <lb/>
            conicæ ſectiones ſunt, quas vinbra ſtvli deſcribit, ex coroll. </s>
            <s xml:id="echoid-s10979" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s10980" xml:space="preserve">12. </s>
            <s xml:id="echoid-s10981" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s10982" xml:space="preserve">Sole in illis
              <lb/>
            exiſtente. </s>
            <s xml:id="echoid-s10983" xml:space="preserve">Linea autem ęquinoctialis eſt arcus diurnus horarum 12.</s>
            <s xml:id="echoid-s10984" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10985" xml:space="preserve">SVNT autem extrem@e lineę in figura radiorum ex H, eductę lineis extremis ex D, emiſſis pa-
              <lb/>
              <note position="right" xlink:label="note-0189-08" xlink:href="note-0189-08a" xml:space="preserve">28. primi.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum