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
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
151 131
152 132
153 133
154 134
155 135
156 136
157 137
158 138
159 139
160 140
< >
page |< < (232) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div807" type="section" level="1" n="192">
          <p>
            <s xml:id="echoid-s15798" xml:space="preserve">
              <pb o="232" file="0252" n="252" rhead="GNOMONICES"/>
            ad meridiem, cum ad Meridianum circulum vergat in hemiſphærio ſuperno; </s>
            <s xml:id="echoid-s15799" xml:space="preserve">diuiſioq́; </s>
            <s xml:id="echoid-s15800" xml:space="preserve">circuli in-
              <lb/>
            choanda erit à punctis e, & </s>
            <s xml:id="echoid-s15801" xml:space="preserve">b, quæ occidentalia ſunt, & </s>
            <s xml:id="echoid-s15802" xml:space="preserve">ad horam 24. </s>
            <s xml:id="echoid-s15803" xml:space="preserve">ſpectant. </s>
            <s xml:id="echoid-s15804" xml:space="preserve">Sumimus enim
              <lb/>
            nunc pro horologio boreali totum auſtrale, ſi ex ſuperiori parte fiat inferior, ita vt centrum H, in-
              <lb/>
            fra horizontalem lineam contineatur. </s>
            <s xml:id="echoid-s15805" xml:space="preserve">Vnde proxima puncta verſus M, ad horam 23. </s>
            <s xml:id="echoid-s15806" xml:space="preserve">& </s>
            <s xml:id="echoid-s15807" xml:space="preserve">ſequen-
              <lb/>
            tia ad 22. </s>
            <s xml:id="echoid-s15808" xml:space="preserve">pertinebunt, &</s>
            <s xml:id="echoid-s15809" xml:space="preserve">c. </s>
            <s xml:id="echoid-s15810" xml:space="preserve">Memor autem eſto, in horeali horologio tropicum ♋, eſſe inter centrũ
              <lb/>
              <figure xlink:label="fig-0252-01" xlink:href="fig-0252-01a" number="176">
                <image file="0252-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0252-01"/>
              </figure>
              <note position="left" xlink:label="note-0252-01" xlink:href="note-0252-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0252-02" xlink:href="note-0252-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0252-03" xlink:href="note-0252-03a" xml:space="preserve">30</note>
            H, & </s>
            <s xml:id="echoid-s15811" xml:space="preserve">æquinoctialem lineam. </s>
            <s xml:id="echoid-s15812" xml:space="preserve">Exemplum huius deſcriptionis in horologio auſtrali habes in hora
              <lb/>
            14. </s>
            <s xml:id="echoid-s15813" xml:space="preserve">tropici ♋, & </s>
            <s xml:id="echoid-s15814" xml:space="preserve">hora 13. </s>
            <s xml:id="echoid-s15815" xml:space="preserve">tropici ♑. </s>
            <s xml:id="echoid-s15816" xml:space="preserve">Nam ex f, puncto horæ 14. </s>
            <s xml:id="echoid-s15817" xml:space="preserve">tropici ♋, ducta recta per E, cen
              <lb/>
            trum ſecat lineam æquinoctialem in puncto quodam, per quod ducta ex centro H, recta oſtendet
              <lb/>
            in tropico ♋, punctum h, pro hora 14. </s>
            <s xml:id="echoid-s15818" xml:space="preserve">Rurſus recta ex m, puncto horæ primæ nocturnæ tropici
              <lb/>
            ♑, quæ horæ 13. </s>
            <s xml:id="echoid-s15819" xml:space="preserve">opponitur, ducta per E, occurrit æquinoctiali lineæ in n. </s>
            <s xml:id="echoid-s15820" xml:space="preserve">Et quia linea m E, du-
              <lb/>
            cta ab hora prima nocturna ♑, tranſit per centrum E, antequam æquinoctialem lineam ſecet, id-
              <lb/>
            circo recta H n, in tropico ♑, exhibet punctum q, pro hora prima nocturna ♑, producta verò vl-
              <lb/>
            tra centrum H, offert in eodem tropico punctum p, pro hora 13. </s>
            <s xml:id="echoid-s15821" xml:space="preserve">vt demonſtrauimus propoſ 10.
              <lb/>
            </s>
            <s xml:id="echoid-s15822" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s15823" xml:space="preserve">In horologio boreali nullum exemplum poſuimus, ne multitudo linearum confuſio-
              <lb/>
            nem pareret: </s>
            <s xml:id="echoid-s15824" xml:space="preserve">præſertim quia facile ex auſtrali deducirur, vt in ſcholio ſequentis propoſ. </s>
            <s xml:id="echoid-s15825" xml:space="preserve">dicemus. </s>
            <s xml:id="echoid-s15826" xml:space="preserve">
              <lb/>
            Tranſibunt autem hic quoque lineæ horarum ab occ. </s>
            <s xml:id="echoid-s15827" xml:space="preserve">per horas à mer. </s>
            <s xml:id="echoid-s15828" xml:space="preserve">vel med noc. </s>
            <s xml:id="echoid-s15829" xml:space="preserve">æquinoctialis
              <lb/>
              <note position="left" xlink:label="note-0252-04" xlink:href="note-0252-04a" xml:space="preserve">40</note>
            lineæ, vt propoſ. </s>
            <s xml:id="echoid-s15830" xml:space="preserve">10. </s>
            <s xml:id="echoid-s15831" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15832" xml:space="preserve">diximus. </s>
            <s xml:id="echoid-s15833" xml:space="preserve">Cæterum in hac figura non aſcripſimus numeros hora-
              <lb/>
            rum à mer. </s>
            <s xml:id="echoid-s15834" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s15835" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s15836" xml:space="preserve">quia ex figura propoſ. </s>
            <s xml:id="echoid-s15837" xml:space="preserve">13. </s>
            <s xml:id="echoid-s15838" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15839" xml:space="preserve">facile intelligitur ordo huiuſmo-
              <lb/>
            di horarum.</s>
            <s xml:id="echoid-s15840" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15841" xml:space="preserve">IN Secundo modo, qui ſit per arcus diurnos nocturnosq́ue, nulla eſt difficultas, ſi rectè con-
              <lb/>
              <note position="left" xlink:label="note-0252-05" xlink:href="note-0252-05a" xml:space="preserve">Alia de@criptio
                <lb/>
              horologii Itali
                <lb/>
              ci Verticalis per
                <lb/>
              @tcus diurnos,
                <lb/>
              @octurnosq́;.</note>
            ſiderentur tabulæ in ſcholio propoſ. </s>
            <s xml:id="echoid-s15842" xml:space="preserve">33. </s>
            <s xml:id="echoid-s15843" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15844" xml:space="preserve">poſitæ: </s>
            <s xml:id="echoid-s15845" xml:space="preserve">ſed deſcribendus etiam erit in ho-
              <lb/>
            rologio auſtrali arcus nocturnus horarum 24. </s>
            <s xml:id="echoid-s15846" xml:space="preserve">cum eius ope & </s>
            <s xml:id="echoid-s15847" xml:space="preserve">auxilio facilis reddatur deſcriptio
              <lb/>
            horologii Italici. </s>
            <s xml:id="echoid-s15848" xml:space="preserve">Ducitur enim hora 24. </s>
            <s xml:id="echoid-s15849" xml:space="preserve">ab occaſu per horam quintam à meridie in arcu diur-
              <lb/>
            no horarum 10. </s>
            <s xml:id="echoid-s15850" xml:space="preserve">& </s>
            <s xml:id="echoid-s15851" xml:space="preserve">per horam 12. </s>
            <s xml:id="echoid-s15852" xml:space="preserve">à media nocte in arcu nocturno horarum 24. </s>
            <s xml:id="echoid-s15853" xml:space="preserve">qui eſt parallelus
              <lb/>
            ſemper latentium maximus, ſecatq́ue horam 12. </s>
            <s xml:id="echoid-s15854" xml:space="preserve">à media nocte, quæ eſt hora 12. </s>
            <s xml:id="echoid-s15855" xml:space="preserve">meridiei, in loco
              <lb/>
            ſtyli. </s>
            <s xml:id="echoid-s15856" xml:space="preserve">Eſt autem hora 24. </s>
            <s xml:id="echoid-s15857" xml:space="preserve">ab occaſu parallela lineæ æquinoctiali, cum eadem ſit, quæ horizontalis
              <lb/>
              <note position="left" xlink:label="note-0252-06" xlink:href="note-0252-06a" xml:space="preserve">50</note>
            linea, quam in ſcholio propoſ. </s>
            <s xml:id="echoid-s15858" xml:space="preserve">22. </s>
            <s xml:id="echoid-s15859" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15860" xml:space="preserve">parallelam eſſe æquinoctiali lineæ oſtendimus.
              <lb/>
            </s>
            <s xml:id="echoid-s15861" xml:space="preserve">At hora 23. </s>
            <s xml:id="echoid-s15862" xml:space="preserve">tranſit per horam 4. </s>
            <s xml:id="echoid-s15863" xml:space="preserve">à meridie in arcu diurno horarum 10. </s>
            <s xml:id="echoid-s15864" xml:space="preserve">& </s>
            <s xml:id="echoid-s15865" xml:space="preserve">per horam quintam à
              <lb/>
            meridie in arcu horarum 12. </s>
            <s xml:id="echoid-s15866" xml:space="preserve">quem in auſtrali horologio tota æquinoctialis linea præbet. </s>
            <s xml:id="echoid-s15867" xml:space="preserve">Immo
              <lb/>
            quia hora 23. </s>
            <s xml:id="echoid-s15868" xml:space="preserve">ab occaſu producta vltra parallelum ſemper latentium maximum, ſeu arcum no-
              <lb/>
            cturnum horarum 24. </s>
            <s xml:id="echoid-s15869" xml:space="preserve">fungitur munere horæ 23. </s>
            <s xml:id="echoid-s15870" xml:space="preserve">ab ortu, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s15871" xml:space="preserve">10. </s>
            <s xml:id="echoid-s15872" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15873" xml:space="preserve">oſten
              <lb/>
            dimus, idcirco vides lineam horæ 23. </s>
            <s xml:id="echoid-s15874" xml:space="preserve">ab ortu ita productam tranſire per horam 6. </s>
            <s xml:id="echoid-s15875" xml:space="preserve">à media nocte
              <lb/>
            in arcu nocturno horarum 14. </s>
            <s xml:id="echoid-s15876" xml:space="preserve">& </s>
            <s xml:id="echoid-s15877" xml:space="preserve">ſic de cæteris. </s>
            <s xml:id="echoid-s15878" xml:space="preserve">Hora autem 13. </s>
            <s xml:id="echoid-s15879" xml:space="preserve">ab occaſu, quia non habet pun-
              <lb/>
            ctum reſpondens in arcu diurno horarum 10. </s>
            <s xml:id="echoid-s15880" xml:space="preserve">ducta eſt per horam ſextam à media nocte in
              <lb/>
            arcu nocturno horarum 14. </s>
            <s xml:id="echoid-s15881" xml:space="preserve">Hora denique 12. </s>
            <s xml:id="echoid-s15882" xml:space="preserve">ab occaſu ducenda eſt per horam 12. </s>
            <s xml:id="echoid-s15883" xml:space="preserve">à meridie,
              <lb/>
            hoc eſt, per horam 12. </s>
            <s xml:id="echoid-s15884" xml:space="preserve">mediæ noctis, in arcu nocturno horarum 24. </s>
            <s xml:id="echoid-s15885" xml:space="preserve">& </s>
            <s xml:id="echoid-s15886" xml:space="preserve">æquidiſtans lineæ </s>
          </p>
        </div>
      </text>
    </echo>
Impressum