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
181 161
182 162
183 163
184 164
185 165
186 166
187 167
188 168
189 169
190 170
191 171
192 172
193 173
194 174
195 175
196 176
197 177
198 178
199 179
200 180
201 181
202 182
203 183
204 184
205 185
206 186
207 187
208 188
209 189
210 190
< >
page |< < (170) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div589" type="section" level="1" n="147">
          <p>
            <s xml:id="echoid-s10985" xml:space="preserve">
              <pb o="170" file="0190" n="190" rhead="GNOMONICES"/>
            rallelę, ſingulę ſingulis; </s>
            <s xml:id="echoid-s10986" xml:space="preserve">propterea quòd anguli H D A, D H I, æquales ſunt duobus rectis. </s>
            <s xml:id="echoid-s10987" xml:space="preserve">Eſt enim,
              <lb/>
            per conſtructionem angulus H D I, rectus, & </s>
            <s xml:id="echoid-s10988" xml:space="preserve">D H I, angulus altitudinis poli, atque A D I, (qui ex
              <lb/>
            ſcholio propoſ. </s>
            <s xml:id="echoid-s10989" xml:space="preserve">33. </s>
            <s xml:id="echoid-s10990" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s10991" xml:space="preserve">angulus eſt complementi altitudinis poli) ſimul etiam æquales
              <lb/>
            vni recto, &</s>
            <s xml:id="echoid-s10992" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10993" xml:space="preserve">Itaque parallelos arcuum diurnorum in eodem horologio horizontali deſcripſi-
              <lb/>
            mus. </s>
            <s xml:id="echoid-s10994" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s10995" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div592" type="section" level="1" n="148">
          <head xml:id="echoid-head151" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s10996" xml:space="preserve">HIC quoque parallelis arcuum diurnorum apponi poſſunt magnitudines dierum, & </s>
            <s xml:id="echoid-s10997" xml:space="preserve">crepuſculorum,
              <lb/>
              <note position="left" xlink:label="note-0190-01" xlink:href="note-0190-01a" xml:space="preserve">Quid aſeribe@-
                <lb/>
              dũ ſit arcubus
                <lb/>
              diurnis in horo
                <lb/>
              logio deſcriptis.</note>
            & </s>
            <s xml:id="echoid-s10998" xml:space="preserve">alia huiuſmodi, vt dies menſium reſpondentes illis parallelis, & </s>
            <s xml:id="echoid-s10999" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11000" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s11001" xml:space="preserve">EST autem horum parallelorum vſus, vt per eos diſcamus, quotnam horas quilibet dies anni conti-
              <lb/>
              <note position="left" xlink:label="note-0190-03" xlink:href="note-0190-03a" xml:space="preserve">Vſus arcuum
                <lb/>
              diurnorũ in ho
                <lb/>
              rologio deſcri-
                <lb/>
              ptorum, quibus
                <lb/>
              cognoſcimus,
                <lb/>
              quot horas com
                <lb/>
              plectatur quili-
                <lb/>
              bet dies propo-
                <lb/>
              fit@@.</note>
            neat. </s>
            <s xml:id="echoid-s11002" xml:space="preserve">Nam quando vmbra gnomonis cadit præcisè in arcum aliquem diurnum, comprehendet dies tunc
              <lb/>
            præcisè tothoras, quot illi arcui ſunt aſcriptæ. </s>
            <s xml:id="echoid-s11003" xml:space="preserve">Si autem vmbra ſtyli non præcisè in aliquem arcum ca-
              <lb/>
            dat, ſed in ſpatium inter duos arcus comprehenſum, iudicabimus plus minus, quot horarum tunc dies exi-
              <lb/>
            ſtat, habita ratione diſtantiæ vmbræ à propinquiore arcu, dummodo in memoriam reuocemus, dies à duo-
              <lb/>
            decimo Iunij vſque ad duodecimum Decembris decreſcere hac tempeſtate; </s>
            <s xml:id="echoid-s11004" xml:space="preserve">at verò eoſdem augeri à duo-
              <lb/>
            decimo Decembris vſque ad duodecimum Iunij. </s>
            <s xml:id="echoid-s11005" xml:space="preserve">Vnde ſi, verbi gratia, vmbra cadat in medium ſpatium
              <lb/>
            inter arcus horarum 13. </s>
            <s xml:id="echoid-s11006" xml:space="preserve">& </s>
            <s xml:id="echoid-s11007" xml:space="preserve">14. </s>
            <s xml:id="echoid-s11008" xml:space="preserve">ſi quidem hoc fiat eo anni tempore, quod inter duodecimum diem Iunij,
              <lb/>
            & </s>
            <s xml:id="echoid-s11009" xml:space="preserve">duodecimum diẽ Decembris interijcitur, continebit tunc dies horas ferè 13 {1/2}. </s>
            <s xml:id="echoid-s11010" xml:space="preserve">quia tunc Sol mouetur
              <lb/>
            proprio motu ab arcu diurno horarum 14. </s>
            <s xml:id="echoid-s11011" xml:space="preserve">ad arcũ diurnum horarum 13. </s>
            <s xml:id="echoid-s11012" xml:space="preserve">cum tunc dies deereſcant. </s>
            <s xml:id="echoid-s11013" xml:space="preserve">Si ve-
              <lb/>
              <note position="left" xlink:label="note-0190-04" xlink:href="note-0190-04a" xml:space="preserve">20</note>
            rò idem accidat in reliquo anni tempore, erit rurſus dies horarum quaſi 13 {1/2}. </s>
            <s xml:id="echoid-s11014" xml:space="preserve">quia tunc dies incrementũ
              <lb/>
            ſumunt, at que adeo Sol proprio motu ab arcu diurno horarum 13. </s>
            <s xml:id="echoid-s11015" xml:space="preserve">ad arcum diurnum borarum 14. </s>
            <s xml:id="echoid-s11016" xml:space="preserve">moue-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s11017" xml:space="preserve">Atque ita de ſingulis.</s>
            <s xml:id="echoid-s11018" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div595" type="section" level="1" n="149">
          <head xml:id="echoid-head152" xml:space="preserve">PROBLEMA. 4. PROPOSITIO 4.</head>
          <p>
            <s xml:id="echoid-s11019" xml:space="preserve">CIRCVLOS Verticales, quos Azimuth dicunt, in eodem hori-
              <lb/>
            zontali horologio deſcribere.</s>
            <s xml:id="echoid-s11020" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">30</note>
          <p>
            <s xml:id="echoid-s11021" xml:space="preserve">DVCATVR per G, locum gnomonis in horologio recta A B, ad lineam meridianam H I,
              <lb/>
              <note position="left" xlink:label="note-0190-06" xlink:href="note-0190-06a" xml:space="preserve">Deſ@tiptio cir-
                <lb/>
              culorum Verti-
                <lb/>
              calium in eodẽ
                <lb/>
              horologio hori-
                <lb/>
              zontali.</note>
            perpendicularis. </s>
            <s xml:id="echoid-s11022" xml:space="preserve">Deinde ex G, circulus quicunque deſcriptus diuidatur in partes 360. </s>
            <s xml:id="echoid-s11023" xml:space="preserve">æquales,
              <lb/>
            initio facto à recta A B. </s>
            <s xml:id="echoid-s11024" xml:space="preserve">(Nos ob loci anguſtias eum diſtribuimus tantum in 24. </s>
            <s xml:id="echoid-s11025" xml:space="preserve">vt quælibet con-
              <lb/>
              <figure xlink:label="fig-0190-01" xlink:href="fig-0190-01a" number="139">
                <image file="0190-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0190-01"/>
              </figure>
              <note position="left" xlink:label="note-0190-07" xlink:href="note-0190-07a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0190-08" xlink:href="note-0190-08a" xml:space="preserve">50</note>
            tineat gradus 15.) </s>
            <s xml:id="echoid-s11026" xml:space="preserve">Si enim ex centro G, per diuiſionum puncta rectę educantur, quę tamen intra
              <lb/>
            tropicos contineantur, vt in figura apparet, cum lineamenta extra ipſos ſuperuacanea ſint; </s>
            <s xml:id="echoid-s11027" xml:space="preserve">deſcri-
              <lb/>
            pti erunt circuli Verticales, ſiue Azimuth, hoc eſt, communes ſectiones circulorum Verticalium,
              <lb/>
            & </s>
            <s xml:id="echoid-s11028" xml:space="preserve">plani horologii; </s>
            <s xml:id="echoid-s11029" xml:space="preserve">in quas quidem vmbra gnomonis, ex propoſ. </s>
            <s xml:id="echoid-s11030" xml:space="preserve">11. </s>
            <s xml:id="echoid-s11031" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11032" xml:space="preserve">proiicitur, So-
              <lb/>
            le in dictis circulis exiſtente. </s>
            <s xml:id="echoid-s11033" xml:space="preserve">Quod facile hoc modo demonſtrabitur.</s>
            <s xml:id="echoid-s11034" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11035" xml:space="preserve">QVONIAM tam planum Verticalis propriè dicti, quod per G, tranſit, (Eſt enim gnomon
              <lb/>
              <note position="left" xlink:label="note-0190-09" xlink:href="note-0190-09a" xml:space="preserve">Demonſtrat@o
                <lb/>
              deſcriptionis
                <lb/>
              Ver@calium.</note>
            horologij horizontalis pars ſectionis communis Meridiani, & </s>
            <s xml:id="echoid-s11036" xml:space="preserve">Verticalis circuli propriè dicti, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum