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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[281.] SCHOLIVM.
Page: 362 (346)
[282.] PROBLEMA 18. PROPOSITIO 18.
Page: 363 (347)
[283.] PROBLEMA 19. PROPOSITIO 19.
Page: 363 (347)
[284.] PROBLEMA 20. PROPOSITIO 20.
Page: 363 (347)
[285.] SCHOLIVM.
Page: 364 (348)
[286.] PROBLEMA 21. PROPOSITIO 21.
Page: 365 (349)
[287.] SCHOLIVM.
Page: 366 (350)
[288.] PROBLEMA 22. PROPOSITIO 22.
Page: 367 (351)
[289.] PROBLEMA 23. PROPOSITIO 23.
Page: 368 (352)
[290.] SCHOLIVM.
Page: 368 (352)
[291.] PROBLEMA 24. PROPOSITIO 24.
Page: 368 (352)
[292.] DE HOROLOGIIS ad Horizontem inclinatis.
Page: 369 (353)
[293.] PROBLEMA 25. PROPOSITIO 25.
Page: 369 (353)
[294.] PRÆCEPTVM I.
Page: 369 (353)
[295.] PRAECEPTVM II.
Page: 369 (353)
[296.] PRAECEPTVM III.
Page: 370 (354)
[297.] PRAECEPTVM IIII.
Page: 370 (354)
[298.] PRAECEPTVM V.
Page: 370 (354)
[299.] PRAECEPTVM VI.
Page: 370 (354)
[300.] SCHOLIVM.
Page: 372 (356)
[301.] PROBLEMA 26. PROPOSITIO 26.
Page: 374 (358)
[302.] PROBLEMA 27. PROPOSITIO 27.
Page: 376 (360)
[303.] PROBLEMA 28. PROPOSITIO 28.
Page: 376 (360)
[304.] PROBLEMA 29. PROPOSITIO 29.
Page: 377 (361)
[305.] PROBLEMA 30. PROPOSITIO 30.
Page: 378 (362)
[306.] SEQVITVR FIGVRA.
Page: 378 (362)
[307.] PROBLEMA 31. PROPOSITIO 31.
Page: 379 (363)
[308.] PROBLEMA 32. PROPOSITIO 32.
Page: 379 (363)
[309.] PROBLEMA 33. PROPOSITIO 33.
Page: 381 (365)
[310.] SCHOLIVM.
Page: 382 (366)
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          <pb o="273" file="0289" n="289" rhead="LIBER SECVNDVS."/>
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            <image file="0289-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0289-01"/>
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          <note position="left" xml:space="preserve">10</note>
          <note position="left" xml:space="preserve">20</note>
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        <div xml:id="echoid-div949" type="section" level="1" n="230">
          <head xml:id="echoid-head236" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s18577" xml:space="preserve">CAETERVM & </s>
            <s xml:id="echoid-s18578" xml:space="preserve">hic lineæ horarum inæqualium vltra horizontalem lineam productæ exhibent
              <lb/>
              <note position="right" xlink:label="note-0289-03" xlink:href="note-0289-03a" xml:space="preserve">Quomodo In-
                <lb/>
              ferius horolo-
                <lb/>
              gium Antiquũ
                <lb/>
              polare à ſuperio
                <lb/>
              re oriatur.</note>
            earundem horarum lineas in inferiori horologio, dummodo portio horologii abſciſſa à linea horizontali
              <lb/>
            inuertatur ſecundum omnes ſui partes, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s18579" xml:space="preserve">14. </s>
            <s xml:id="echoid-s18580" xml:space="preserve">huius libri dictũ eſt, atque demonſtr at ũ.
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        <div xml:id="echoid-div950" type="section" level="1" n="231">
          <head xml:id="echoid-head237" xml:space="preserve">DE HOROLOGIIS ÆQVINOCTIALIBVS.</head>
          <head xml:id="echoid-head238" xml:space="preserve">PROBLEMA 49. PROPOSITIO 49.</head>
          <p>
            <s xml:id="echoid-s18581" xml:space="preserve">HOROLOGIVM Aſtronomicum æquinoctiale deſcribere.
              <lb/>
            </s>
            <s xml:id="echoid-s18582" xml:space="preserve">
              <note position="left" xlink:label="note-0289-05" xlink:href="note-0289-05a" xml:space="preserve">40</note>
            hoc eſt, Lineas horarum à meridie, vel media nocte in plano, quod
              <lb/>
            æquinoctiali circulo æquidiſtat, deſignare.</s>
            <s xml:id="echoid-s18583" xml:space="preserve"/>
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            <s xml:id="echoid-s18584" xml:space="preserve">IN plano aliquo ducatur vtcunque recta A B, pro linea meridiana, vel horæ 12. </s>
            <s xml:id="echoid-s18585" xml:space="preserve">quam ad re-
              <lb/>
              <note position="right" xlink:label="note-0289-06" xlink:href="note-0289-06a" xml:space="preserve">Aequinoctialis
                <lb/>
              horologij Aſtro
                <lb/>
              nomici deſcri-
                <lb/>
              ptio.</note>
            ctos angulos ſecet alia recta C D, in E. </s>
            <s xml:id="echoid-s18586" xml:space="preserve">Ex E, autem circulus cuiuslibet magnitudinis deſcriptus
              <lb/>
            diuidatur in 24. </s>
            <s xml:id="echoid-s18587" xml:space="preserve">partes æquales, initio facto vel à C D, vel à recta A B; </s>
            <s xml:id="echoid-s18588" xml:space="preserve">& </s>
            <s xml:id="echoid-s18589" xml:space="preserve">per diuiſionum puncta,
              <lb/>
            ac per centrum E, rectæ educantur. </s>
            <s xml:id="echoid-s18590" xml:space="preserve">Dico has rectas eſſe lineas horarum à meridie, vel media no-
              <lb/>
            cte in plano, quod Aequatori æquidiſtet: </s>
            <s xml:id="echoid-s18591" xml:space="preserve">adeò vt ſi in E, ponatur ſtylus E F, cuiusuis longitudinis
              <lb/>
              <note position="right" xlink:label="note-0289-07" xlink:href="note-0289-07a" xml:space="preserve">Quomodo ho-
                <lb/>
              rologium æqui
                <lb/>
              noctiale collo-
                <lb/>
              candum ſit, ve
                <lb/>
              horas mõſtret.</note>
            rectus ad planum horologij, ipſumq́ue horologium ita collocetur, vt C D, Horizonti æquidiſtet,
              <lb/>
              <note position="left" xlink:label="note-0289-08" xlink:href="note-0289-08a" xml:space="preserve">50</note>
            & </s>
            <s xml:id="echoid-s18592" xml:space="preserve">A B, in plano Meridiani circuli ſtatuatur, tanquam communis ſectio plani horologij & </s>
            <s xml:id="echoid-s18593" xml:space="preserve">Meri-
              <lb/>
            diani, punctum denique A, ex parte auſtrali (puncto B, ad boream vergente, C, ad ortum, & </s>
            <s xml:id="echoid-s18594" xml:space="preserve">D,
              <lb/>
            ad occaſum) eleuetur ſecundum altitudinem Aequatoris, hoc eſt, ſecundum complementum al-
              <lb/>
            titudinis poli, ita vt angulus, quem recta A B, cum meridiana linea in plano Horizontis inuenta
              <lb/>
            conſtituit ad partes ſeptentrionis, hoc eſt, ad partes B, æqualis ſit complemento altitudinis poli,
              <lb/>
            vmbra ſtyli horas à meridie, vel media nocte indicet in horologio ſuperiori, quod nimirum ad
              <lb/>
            Zenith ſpectat, & </s>
            <s xml:id="echoid-s18595" xml:space="preserve">illuſtratur à Sole in borealibus ſignis exiſtente, Aequatorique eſt parallelum.
              <lb/>
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            <s xml:id="echoid-s18596" xml:space="preserve">Quòd ſi in facie oppoſita horologij ſic eleuati eædem lineæ intelligantur deſcriptæ reſpondentes
              <lb/>
            ad vnguem hiſce lineis ſuperioris horologij, ſtylusq́ue E F, in eadem ad rectos angulos infigatur,
              <lb/>
            indicabit vmbra ſtyli eaſdem horas in horologio inferiori, quod videlicet à Sole ſigna auſtralia
              <lb/>
            percurrente illuminatur. </s>
            <s xml:id="echoid-s18597" xml:space="preserve">Quod hac ratione demonſtrabitur.</s>
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