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
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61 - 90
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LIBER QVINTVS.
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D E F, in quo ducatur diameter D C, ſecans A B, rectam ad angulos rectos, quæ meridiana linea
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erit, vt propoſ. </
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<
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<
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<
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<
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tur ei partes quotlibet æquales ex recta G H, vt in ſuperioribus dictum eſt. </
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<
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vmbrarum ſupputentur à puncto F, vel E, prout oriẽtales fuerint, aut occidẽtales, ver ſus Boream,
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vel Auſtrum, prout Boreales fuerint, Auſtralesve, deſcribetur horologiũ polare, vt Meridianum,
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vt in appoſita figura intueri licet, in qua ex quadruplici latitudine vmbræ F K, grad. </
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<
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<
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horæ 7. </
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<
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<
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E, in Boream, & </
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<
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<
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ctum L, vna eademq; </
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<
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">& </
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tem longitudine earundem horarum in Aequatore, nempe P. </
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<
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<
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0521-01
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<
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B, pro eiſdem horis in linea ęquinoctiali, &</
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<
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boreali grad. </
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<
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<
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xml:space
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<
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<
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">in tropico ♋, eiusq́;
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</
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<
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">longitudine vmbræ P. </
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<
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<
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<
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<
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">inuentum eſt punctum N, pro hora 17. </
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<
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<
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">in tropico ♋. </
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<
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ex latitudine vmbræ F O, orientali, atque auſtrali gr. </
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<
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<
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<
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<
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det eidem horæ 17. </
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<
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<
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">in tropico ♑, eiusq́ue longitudine vmbræ P. </
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<
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<
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<
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">inuentum eſt
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punctum P, pro hora 17. </
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<
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<
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">in tropico ♑. </
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<
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">Denique ex longitudine vmbræ occidentali gr. </
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</
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<
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<
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<
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<
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">in Aequatore (cum enim hæc hora in Aequatore ſit orientalis, cadet eius
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vmbra in partem occidentalem horologii, nempe in oppoſitam) repertũ eſt punctum a, eiuſdem
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horæ 17. </
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<
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<
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">in linea æquinoctiali, &</
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<
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<
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<
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<
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<
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<
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<
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<
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<
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per puncta in tropicis inuenta lineæ æquinoctiali æquidiſtantes, vt propoſ. </
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<
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<
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<
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<
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Linea porrò horæ 24. </
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<
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<
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xml:id
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xml:space
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">producta dabit lineam horizontalem, cum ſit communis ſectio pla-
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ni horologij, & </
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<
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<
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<
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">hoc eſt, Horizontis. </
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<
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<
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<
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xlink:label
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xml:space
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">Linea horizon-
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talis, atque hora
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12. ab or. uel
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occ. quomodo
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ducenda.</
note
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bula longitudinum vmbrarum propoſ. </
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<
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<
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<
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<
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dini poli ſupra Horizontem, vt in noſtro exemplo reſpondens grad. </
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<
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<
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<
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</
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<
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<
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<
s
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xml:space
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">eaq́ue transferatur beneficio circini ex C, in lineam meridianam verſus Boream, vſque ad
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punctum Q. </
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>
<
s
xml:id
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xml:space
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">Per hoc enim ducenda eſt linea horizontalis, vel horæ 24. </
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<
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lela, vel ad C D, perpendicularis. </
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<
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xml:space
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">Quoniam enim arcus Meridiani inter circulum horæ 6. </
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<
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<
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& </
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<
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">med. </
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>
<
s
xml:id
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xml:space
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">noc. </
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>
<
s
xml:id
="
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"
xml:space
="
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">cui horologium æquidiſtat, atque Horizontem interpoſitus ex parte auſtrali metitur
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altitudinem poli ſupra Horizontem, hoc eſt, in noſtro exemplo complectitur gr. </
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<
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<
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tur in eo puncto Horizontis ex parte auſtrali, vbi à Meridiano ſecatur, haberet ſupra circulum ho-
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rę 6. </
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>
<
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xml:id
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">à mer. </
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<
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xml:id
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xml:space
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">& </
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<
s
xml:id
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xml:space
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">med. </
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>
<
s
xml:id
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xml:space
="
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">noc. </
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>
<
s
xml:id
="
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"
xml:space
="
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">altitudinem grad. </
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<
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xml:space
="
preserve
">42. </
s
>
<
s
xml:id
="
echoid-s32611
"
xml:space
="
preserve
">quanta nimirum eſt poli altitudo ſupra Horizontẽ. </
s
>
<
s
xml:id
="
echoid-s32612
"
xml:space
="
preserve
">
<
lb
/>
Igitur eius vmbra à ſtylo proiecta caderet in punctum Q, verſus Boreales partes, quæ Soli oppo-
<
lb
/>
nuntur, cum vmbra C Q, debeatur gradibus 42. </
s
>
<
s
xml:id
="
echoid-s32613
"
xml:space
="
preserve
">ſiue altitudini poli. </
s
>
<
s
xml:id
="
echoid-s32614
"
xml:space
="
preserve
">Et quoniam tantum ex alte-
<
lb
/>
ra parte diſtat linea horæ 12. </
s
>
<
s
xml:id
="
echoid-s32615
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s32616
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s32617
"
xml:space
="
preserve
">ab æquinoctiali linea, quantum horizontalis abeſt, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>