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

List of thumbnails

< >
171
171 (151) 		172
172 (152)
173
173 (153) 		174
174 (154)
175
175 (155) 		176
176 (156)
177
177 (157) 		178
178 (158)
179
179 (159) 		180
180 (160)
< >
page |< < (158) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div556" type="section" level="1" n="145">
          <p>
            <s xml:id="echoid-s10168" xml:space="preserve">
              <pb o="158" file="0178" n="178" rhead="GNOMONICES"/>
            mate, propter æqualitatem gnomonũ, & </s>
            <s xml:id="echoid-s10169" xml:space="preserve">angulorum rectorum, quos gnomones cum dictis rectis
              <lb/>
            conſtituunt. </s>
            <s xml:id="echoid-s10170" xml:space="preserve">Cum ergo & </s>
            <s xml:id="echoid-s10171" xml:space="preserve">diametri Eclipticæ oppoſita ſigna connectentes inter ſe congruant,
              <lb/>
            (quod eoſdem angulos in vtroq; </s>
            <s xml:id="echoid-s10172" xml:space="preserve">Analemmate cum diametro Æquatoris efficiant, propter eaſdẽ
              <lb/>
            declinationes in vtroq;</s>
            <s xml:id="echoid-s10173" xml:space="preserve">, vt ex cõſtructione Analemmatis manifeſtum eſt.) </s>
            <s xml:id="echoid-s10174" xml:space="preserve">liquido conſtat, rectas
              <lb/>
            inter extremitatem ſtyli G, & </s>
            <s xml:id="echoid-s10175" xml:space="preserve">radios ſignorum in noſtro Analemmate æquales eſſe eiſdem rectis
              <lb/>
            in alio Analemmate; </s>
            <s xml:id="echoid-s10176" xml:space="preserve">propterea quòd illæ his congruant.</s>
            <s xml:id="echoid-s10177" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10178" xml:space="preserve">ITAQVE ſi in lineam meridianam horologij deſcripti ſiue ex centro H, ſiue ex I, puncto,
              <lb/>
            vbi Æquatoris planum plano horologij occurrit, transferãtur puncta G, K, L, M, I, Q, P, N, accepta
              <lb/>
            beneficio circini ex puncto, vbi in Analemmate axis mundi, vel diameter Æquatoris rectam, quæ
              <lb/>
            per extremitatem gnomonis ducta eſt diametro Horizontis æquidiſtans, interſecat; </s>
            <s xml:id="echoid-s10179" xml:space="preserve">erit G, locus
              <lb/>
              <note position="left" xlink:label="note-0178-01" xlink:href="note-0178-01a" xml:space="preserve">10</note>
              <figure xlink:label="fig-0178-01" xlink:href="fig-0178-01a" number="131">
                <image file="0178-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0178-01"/>
              </figure>
              <note position="left" xlink:label="note-0178-02" xlink:href="note-0178-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0178-03" xlink:href="note-0178-03a" xml:space="preserve">30</note>
            ſtyli D G; </s>
            <s xml:id="echoid-s10180" xml:space="preserve">reliqua vero puncta erunt illa, in quæ vmbra ſtyli proijcitur, Sole exiſtente in Meridia-
              <lb/>
            no circulo, & </s>
            <s xml:id="echoid-s10181" xml:space="preserve">initijs ſignorum, & </s>
            <s xml:id="echoid-s10182" xml:space="preserve">per quæ duci debent conicæ ſectiones ſignorum, quæ ſunt vel
              <lb/>
            circuli, vel parabolæ, vel hyperbolæ, vel ellipſes, vt ſuperiore lib. </s>
            <s xml:id="echoid-s10183" xml:space="preserve">demonſtratum eſt. </s>
            <s xml:id="echoid-s10184" xml:space="preserve">Per I, autem
              <lb/>
            ducenda eſt ad meridianam lineam perpendicularis. </s>
            <s xml:id="echoid-s10185" xml:space="preserve">Hæc enim erit linea æquinoctialis, in quam
              <lb/>
            vmbræ proijciuntur tẽpore æquinoctiorũ. </s>
            <s xml:id="echoid-s10186" xml:space="preserve">Iam vero ſi circa diametros KR, LR, MR, NO, PO,
              <lb/>
            QO, per propoſ. </s>
            <s xml:id="echoid-s10187" xml:space="preserve">8. </s>
            <s xml:id="echoid-s10188" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s10189" xml:space="preserve">conicę ſectiones deſcribãtur iu aliqua materia ſolida, vt in ligno,
              <lb/>
            vel in chartis conglutinatis, excindanturq́ue, vt fiant quædã quaſi regulæ curuę, ſeu inflexę, quarũ
              <lb/>
            beneficio eędẽ ſectiones in horologiũ trãsferantur, ita vt per puncta k, L, M, Q, P, N, in lineã meri
              <lb/>
            dianã translata tranſeant, & </s>
            <s xml:id="echoid-s10190" xml:space="preserve">axes earũ lineę meridianę congruant, deſcripti erunt paralleli ſignorũ
              <lb/>
            Zodiaci: </s>
            <s xml:id="echoid-s10191" xml:space="preserve">qui quidem in ipſomet etiam horologio circa diametros K H, L H, MH, N φ, P φ, Q φ,
              <lb/>
              <note position="left" xlink:label="note-0178-04" xlink:href="note-0178-04a" xml:space="preserve">40</note>
            per propoſ. </s>
            <s xml:id="echoid-s10192" xml:space="preserve">8. </s>
            <s xml:id="echoid-s10193" xml:space="preserve">antecedentis lib. </s>
            <s xml:id="echoid-s10194" xml:space="preserve">deſcribi poterunt, non autem ſeorſum, vt poſtea in horologiũ tranſ
              <lb/>
            ferantur. </s>
            <s xml:id="echoid-s10195" xml:space="preserve">Tranſibit enim per k, parallelus ♋; </s>
            <s xml:id="echoid-s10196" xml:space="preserve">per L, parallelus ♊, & </s>
            <s xml:id="echoid-s10197" xml:space="preserve">♌; </s>
            <s xml:id="echoid-s10198" xml:space="preserve">per M, parallelus ♉, & </s>
            <s xml:id="echoid-s10199" xml:space="preserve">
              <lb/>
            ♍; </s>
            <s xml:id="echoid-s10200" xml:space="preserve">per I, linea ęquinoctialis; </s>
            <s xml:id="echoid-s10201" xml:space="preserve">per Q, parallelus ♏, & </s>
            <s xml:id="echoid-s10202" xml:space="preserve">♓; </s>
            <s xml:id="echoid-s10203" xml:space="preserve">per P, parallelus ♐, & </s>
            <s xml:id="echoid-s10204" xml:space="preserve">♒; </s>
            <s xml:id="echoid-s10205" xml:space="preserve">per N, denique
              <lb/>
            parallelus ♑: </s>
            <s xml:id="echoid-s10206" xml:space="preserve">quos quidem omnes vmbra verticis ſtyli deſcribit, Sole in ſignorum initijs exiſten-
              <lb/>
            te, cum in illos vmbrę extremitas proijciatur, vt conſtat ex coroll. </s>
            <s xml:id="echoid-s10207" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s10208" xml:space="preserve">12. </s>
            <s xml:id="echoid-s10209" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s10210" xml:space="preserve">Om-
              <lb/>
            nium autem horariarum linearum (linea meridiana excepta.) </s>
            <s xml:id="echoid-s10211" xml:space="preserve">portiones, quę extra ſectiones co-
              <lb/>
              <note position="left" xlink:label="note-0178-05" xlink:href="note-0178-05a" xml:space="preserve">In quouis horo
                <lb/>
              logio ducendæ
                <lb/>
              ſunt portiones
                <lb/>
              duntaxat linea-
                <lb/>
              rum hotariarũ
                <lb/>
              inter tropicos
                <lb/>
              Cãcri, & Capri-
                <lb/>
              corni, compre-
                <lb/>
              henſz.</note>
            nicas ♋, & </s>
            <s xml:id="echoid-s10212" xml:space="preserve">♑, reperiuntur, tam in horizontali horologio, quàm in quouis alio, delendæ ſunt,
              <lb/>
            quoniam illarum vſus nullus eſt, cum vmbra ſtyli extra tropicos non proiiciatur, quemadmodum
              <lb/>
            neque Sol extra ipſos vnquam in cœlo vagatur. </s>
            <s xml:id="echoid-s10213" xml:space="preserve">Vnde deſcribendæ erunt lineæ horariæ occultæ,
              <lb/>
            vt earum duntaxat partes intra tropicos ſignari queant, poſt deſcriptionem arcuum ſignorum Zo-
              <lb/>
              <note position="left" xlink:label="note-0178-06" xlink:href="note-0178-06a" xml:space="preserve">50</note>
            diaci. </s>
            <s xml:id="echoid-s10214" xml:space="preserve">Satis eſt autem, ſi deſcribantur ſectiones conicæ ſignorũ duntaxat borealium, quando Hori-
              <lb/>
            zon omnes parallelos ſecat. </s>
            <s xml:id="echoid-s10215" xml:space="preserve">Hę enim æquales ſunt conicis ſectionibus ſignorum auſtralium oppo-
              <lb/>
            ſitorum, ſingulę ſingulis, cum tunc ſint hyperbolæ oppoſitę, & </s>
            <s xml:id="echoid-s10216" xml:space="preserve">æquales, vt propoſ. </s>
            <s xml:id="echoid-s10217" xml:space="preserve">6. </s>
            <s xml:id="echoid-s10218" xml:space="preserve">ſuperioris lib.
              <lb/>
            </s>
            <s xml:id="echoid-s10219" xml:space="preserve">oſtendimus. </s>
            <s xml:id="echoid-s10220" xml:space="preserve">Vnde facile ad ſigna auſtralia transferri poterunt, & </s>
            <s xml:id="echoid-s10221" xml:space="preserve">circa puncta N, P, Q, deſcribi.</s>
            <s xml:id="echoid-s10222" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10223" xml:space="preserve">SECTIONES porrò conicæ, quarum diametri in Analemmate ſuntinter punctum R, & </s>
            <s xml:id="echoid-s10224" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0178-07" xlink:href="note-0178-07a" xml:space="preserve">Quam in partẽ
                <lb/>
              cornua ſectionũ
                <lb/>
              conicarũ in ho
                <lb/>
              tologiis vergãt.</note>
            punctum I, vbi diameter Aequatoris rectam R O, ſecat, habent cornua verſus centrum horologii
              <lb/>
            H, conuerſa; </s>
            <s xml:id="echoid-s10225" xml:space="preserve">in oppoſitam verò partem conuertuntur cornua ſectionum illarum, quarum diame-
              <lb/>
            tri ſunt inter puncta O, & </s>
            <s xml:id="echoid-s10226" xml:space="preserve">I; </s>
            <s xml:id="echoid-s10227" xml:space="preserve">Sic etiam in omnibus alijs horologiis, etiam declinantibus, & </s>
            <s xml:id="echoid-s10228" xml:space="preserve">incli-
              <lb/>
            natis, ſectiones conicæ inter centrum horologii, & </s>
            <s xml:id="echoid-s10229" xml:space="preserve">lineam æquinoctialem porrigunt cornua ſua
              <lb/>
            verſus centrum, reliquæ verò in partem contrariam ea conuertunt: </s>
            <s xml:id="echoid-s10230" xml:space="preserve">Ita vt in vniuerſum cornua
              <lb/>
            omnium ſectionum à linea æquinoctiali magis ac magis recedant, & </s>
            <s xml:id="echoid-s10231" xml:space="preserve">quodammodo fugiant. </s>
            <s xml:id="echoid-s10232" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum