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

Table of contents

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[191.] SCHOLIVM.
Page: 251 (231)
[192.] PROBLEMA 22. PROPOSITIO 22.
Page: 251 (231)
[193.] SCHOLIVM.
Page: 253 (235)
[194.] PROBLEMA 24. PROPOSITIO 24.
Page: 254 (236)
[195.] SCHOLIVM.
Page: 255 (237)
[196.] DE HOROLOGIIS MERIDIANIS.
Page: 255 (237)
[197.] PROBLEMA 25. PROPOSITIO 25.
Page: 255 (237)
[198.] SCHOLIVM.
Page: 257 (239)
[199.] PROBLEMA 26. PROPOSITIO 26.
Page: 258 (240)
[200.] SCHOLIVM.
Page: 262 (246)
[201.] PROBLEMA 30. PROPOSITIO 30.
Page: 262 (246)
[202.] SCHOLIVM.
Page: 262 (246)
[203.] PROBLEMA 31. PROPOSITIO 31.
Page: 263 (247)
[204.] PROBLEMA 32. PROPOSITIO 32.
Page: 263 (247)
[205.] SCHOLIVM.
Page: 264 (248)
[206.] PROBLEMA 33. PROPOSITIO 33.
Page: 265 (249)
[207.] SCHOLIVM.
Page: 267 (251)
[208.] PROBLEMA 34, PROPOSITIO 34.
Page: 268 (252)
[209.] HOROLOGIVM Italicum Meridianum conſtituere.
Page: 268 (252)
[210.] PROBLEMA. 35. PROPOSITIO 35. HOROLOGIVM Babylonicum Meridianum deſcribere.
Page: 271 (255)
[211.] SCHOLIVM.
Page: 271 (255)
[212.] PROBLEMA 36. PROPOSITIO 36. HOROLOGIVM Antiquum Meridianum conſtituere.
Page: 272 (256)
[213.] SCHOLIVM.
Page: 272 (256)
[214.] DE HOROLOGIIS POLARIBVS. PROBLEMA 37. PROPOSITIO 37.
Page: 272 (256)
[215.] SCHOLIVM.
Page: 274 (258)
[216.] PROBLEMA 38. PROPOSITIO 38.
Page: 274 (258)
[217.] PROBLEMA 39. PROPOSITIO 39.
Page: 276 (260)
[218.] PROBLEMA 40. PROPOSITIO 40.
Page: 276 (260)
[219.] PROBLEMA 41. PROPOSITIO 41.
Page: 278 (262)
[220.] PROBLEMA 42. PROPOSITIO 42.
Page: 280 (264)
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            <s xml:id="echoid-s17918" xml:space="preserve">
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            dum in figura radiorum Zodiaci propoſ. </s>
            <s xml:id="echoid-s17919" xml:space="preserve">2. </s>
            <s xml:id="echoid-s17920" xml:space="preserve">huius libri radii ſignorum ad dextram radii
              <unsure/>
            Æqua-
              <lb/>
            toris pertinent ad ſigna auſtralia infra æquinoctialem lineam deſcribenda, & </s>
            <s xml:id="echoid-s17921" xml:space="preserve">radii ad ſiniſtram ad
              <lb/>
            ſigna borealia ſupra lineam æquinoctialem deſcribenda, ita etiam hic radii parallelorum Hori-
              <lb/>
            zontis ex A, emiſſi ad dextram rectæ A B, quæ eſt inſtar noui cuiuſdam radii Æquatoris, vt dictum
              <lb/>
            eſt, pertineant ad parallelos Horizontis infra lineam horizontalem, quæ eſt velut noua quædam
              <lb/>
            linea æquinoctialis, deſcribendos, tanquam ſigna auſtralia: </s>
            <s xml:id="echoid-s17922" xml:space="preserve">radii verò educti ad ſiniſtram rectæ
              <lb/>
            A B, pertineant ad parallelos Horizontis ſupra lineam horizontalem horologii deſcribendos, tan-
              <lb/>
            quam ſigna borealia. </s>
            <s xml:id="echoid-s17923" xml:space="preserve">Vnde cum portio horologii ſupra lineam horizonralem æqualis ſit inferio-
              <lb/>
            ri horolog@o, rectè transferuntur in eam radii parallelorum Horizontis ex A, educti ad ſiniſtram
              <lb/>
            partem rectæ A B, &</s>
            <s xml:id="echoid-s17924" xml:space="preserve">c. </s>
            <s xml:id="echoid-s17925" xml:space="preserve">quæ omnia in figura præcedentis propoſ. </s>
            <s xml:id="echoid-s17926" xml:space="preserve">apparent.</s>
            <s xml:id="echoid-s17927" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p>
            <s xml:id="echoid-s17928" xml:space="preserve">SED facilius deſcribentur in inferiori horologio ſupra lineam horizontalem paralleli Ho
              <unsure/>
            ri-
              <lb/>
              <note position="left" xlink:label="note-0280-02" xlink:href="note-0280-02a" xml:space="preserve">Parælleli Hori-
                <lb/>
              zoncis ſupra li-
                <lb/>
              neam horizon-
                <lb/>
              @alem deſcribũ
                <lb/>
              t
                <unsure/>
              ur ex eorũ op-
                <lb/>
              po
                <unsure/>
              ſitis inſca ho
                <lb/>
              @iz@ntalem li-
                <lb/>
              neã @eſcr@p@is.</note>
            zontis ex eorum oppoſitis in ſuperiori horologio deſcriptis, ſi ſecundum doctrinam, quam prope
              <lb/>
            finem propoſ. </s>
            <s xml:id="echoid-s17929" xml:space="preserve">2. </s>
            <s xml:id="echoid-s17930" xml:space="preserve">huius lib tradidimus, reperiamus prius diametros tranſuerſas oppoſitarũ ſectio-
              <lb/>
            num, earumq́ue centra, &</s>
            <s xml:id="echoid-s17931" xml:space="preserve">c. </s>
            <s xml:id="echoid-s17932" xml:space="preserve">In poſteriori figura diametri tranſuerſæ ſunt portiones rectæ D E, in-
              <lb/>
            terceptę inter radios parallelorum Horizontis oppoſitorum ex A, eductos, æqualiterq́ue à recta
              <lb/>
            A B, diſtantes. </s>
            <s xml:id="echoid-s17933" xml:space="preserve">Parallelos igitur Horizontis in eodem polari horologio deſignauimus. </s>
            <s xml:id="echoid-s17934" xml:space="preserve">Quod
              <lb/>
            erat faciendum.</s>
            <s xml:id="echoid-s17935" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div911" type="section" level="1" n="220">
          <head xml:id="echoid-head226" xml:space="preserve">PROBLEMA 42. PROPOSITIO 42.</head>
          <note position="left" xml:space="preserve">20</note>
          <p>
            <s xml:id="echoid-s17936" xml:space="preserve">MERIDIANOS, hoc eſt, circulos longitudinum ciuitatum in
              <lb/>
            eodem polari horologio deſcribere.</s>
            <s xml:id="echoid-s17937" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17938" xml:space="preserve">DESCRIBENTVR circuli Meridiani in horologio polari, non ſecus ac horæ à meri-
              <lb/>
            die, vel media nocte, quemadmodum & </s>
            <s xml:id="echoid-s17939" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s17940" xml:space="preserve">6. </s>
            <s xml:id="echoid-s17941" xml:space="preserve">huius libri tradidimus, dummodo circulus
              <lb/>
            F G H I, cuius beneficio lineas horarias duximus, diuiſionis principium habeat à Meridiano in-
              <lb/>
              <figure xlink:label="fig-0280-01" xlink:href="fig-0280-01a" number="195">
                <image file="0280-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0280-01"/>
              </figure>
              <note position="left" xlink:label="note-0280-04" xlink:href="note-0280-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0280-05" xlink:href="note-0280-05a" xml:space="preserve">40</note>
            ſularum Fortunatarum, qui habetur, ſi loci longitudo numeretur à Meridiano loci, nempe à pun
              <lb/>
            cto F, verſus G, partes occidentales, vt res ipſa exigit. </s>
            <s xml:id="echoid-s17942" xml:space="preserve">Id quod facile intelligi poteſt, ſi circulus
              <lb/>
            F G H I, concipiatur circumuolui circa lineam æquinoctialem, vſque dum cum Aequatore con-
              <lb/>
            iunctus ſit, &</s>
            <s xml:id="echoid-s17943" xml:space="preserve">c.</s>
            <s xml:id="echoid-s17944" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">50</note>
          <p>
            <s xml:id="echoid-s17945" xml:space="preserve">PRO Meridianis autem inferioris horologii, numeranda eſt longitudo loci à puncto H, ver-
              <lb/>
            ſus G, vt Meridianus inſularum Fortunatarum reperiatur. </s>
            <s xml:id="echoid-s17946" xml:space="preserve">Nam ſi horologium inferius poſitum
              <lb/>
            intelligatur in proprio ſitu, ita vt linea horizontalis ſupremum teneat locum, & </s>
            <s xml:id="echoid-s17947" xml:space="preserve">circulus F G H I,
              <lb/>
            circa æquinoctialem lineam moueatur, donec cum Aequatore ſit coniunctus, & </s>
            <s xml:id="echoid-s17948" xml:space="preserve">centrum E, cum
              <lb/>
            centro mundi; </s>
            <s xml:id="echoid-s17949" xml:space="preserve">ſecabit Meridianus loci circulum dictum ſupra Horizontem in puncto H, infra
              <lb/>
            verò in F. </s>
            <s xml:id="echoid-s17950" xml:space="preserve">Itaque ab H, verſus G, ſunt partes occidentales, orientales verò verſus I. </s>
            <s xml:id="echoid-s17951" xml:space="preserve">Reliqua fiant
              <lb/>
            vt prius. </s>
            <s xml:id="echoid-s17952" xml:space="preserve">In exemplo vides Meridianos grad. </s>
            <s xml:id="echoid-s17953" xml:space="preserve">140. </s>
            <s xml:id="echoid-s17954" xml:space="preserve">150. </s>
            <s xml:id="echoid-s17955" xml:space="preserve">ex vna parte, & </s>
            <s xml:id="echoid-s17956" xml:space="preserve">285. </s>
            <s xml:id="echoid-s17957" xml:space="preserve">295. </s>
            <s xml:id="echoid-s17958" xml:space="preserve">ex altera in ho-
              <lb/>
              <note position="left" xlink:label="note-0280-07" xlink:href="note-0280-07a" xml:space="preserve">Meridiani vi-
                <lb/>
              @ra lineã hori-
                <lb/>
              z@alẽ productę
                <lb/>
              efficiunt hot
                <unsure/>
              o-
                <lb/>
              logiũ inferius
                <lb/>
              cum Merid@a-
                <lb/>
              nis.</note>
            rologio inferiori, quod nobis præbet portio à linea horizontali abſciſla.</s>
            <s xml:id="echoid-s17959" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17960" xml:space="preserve">EOSDEM tamen Meridianos inferioris horologii facilius obtinebimus, ſi horologii ſupe-
              <lb/>
            rioris Meridianos vltra lineam horizontalem producamus, eiſdemq́ue aſcribamus numeros, qui
              <lb/>
            componuntur ex additione grad. </s>
            <s xml:id="echoid-s17961" xml:space="preserve">180. </s>
            <s xml:id="echoid-s17962" xml:space="preserve">ad numeros Meridianorum ſuperioris horologii, </s>
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