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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GNOMONICES
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<
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<
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logij æquidiſtãs
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maximo circu-
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lo baſes conica
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rum ſuperficie-
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rum tãgenti fa-
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cit in altera ſu-
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per@cierum Pa
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tabolen.</
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ni horologij æquidiſtantis circulo maximo, qui baſes conicarum ſuper-
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ficierum tangit, Parabole eſt.</
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<
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<
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baſes oppoſitas in punctis E, & </
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<
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<
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in conica ſuperficie A F G, ſectionem K L M. </
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<
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<
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lorum polos B, C, & </
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<
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ctum E, circulus maximus B D-
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C G, per ꝓpoſ. </
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<
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<
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<
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</
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<
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los circuli F E, per propoſ. </
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2. </
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<
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circuli H I, quem in Sphæra ex
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propoſ. </
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<
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<
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<
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<
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<
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planum horologij, (cũ ex pro-
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poſ. </
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<
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<
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polos paralleli F E, H I,) tranſi-
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bit, ideoq́; </
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<
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</
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<
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">& </
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<
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">circulum F G, & </
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culum H I, per rectas F G, H I,
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ſe mutuo in N, ſecantes, (ſeca-
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bunt enim ſe ſe rectæ F G, H I,
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mutuo, quòd in eodem plano
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circuli B D C G, exiſtant) bifa-
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riam & </
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<
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bit, facietq́; </
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<
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nes planorum parallelorũ F E,
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H I, parallelas. </
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<
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idem circulus B D C G, cũ per
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axem B C, incedat, triangulum
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per axem A F G, ſecans rectam
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H I, & </
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<
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<
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">Secet etiã planũ H I, per rectam K N, tranſiens, circulum F G, per rectã
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M N L, per punctum N, tranſeuntẽ. </
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<
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">Nam cum planum per K N, ductum per punctum N, quod
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in plano G F, eſt, tranſeat, trãſibit quoque L M, communis ſectio planorum H I, F G, per punctum
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N. </
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<
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">Quoniam igitur plana F G, H I, recta ſunt ad planum circuli B D C G; </
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<
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<
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munis ſectio L M, ad idem recta in puncto N, atque adeò & </
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<
s
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xml:space
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">ad rectam F G, baſ@m trianguli per
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<
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<
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axem, perpendicularis erit, ex definitione 3. </
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<
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<
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<
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<
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">Quare cum conus A F G, ſecetur plano
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B D C G, per axem, ſecetur autem & </
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<
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">altero plano H I, quod baſim coni ſecat per rectam lineam
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L M, perpendicularem ad F G, baſim trianguli per axem, ſitq́; </
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<
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trianguli per axem parallela; </
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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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">Planum horo-
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logii horizonta-
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lis cuiuſque, &
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Verticalis ad la
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titudinẽ gr. 45.
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immo & æqui-
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diſtantis cuili-
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bet circulo ho-
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rarum ab ortu
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vel occaſu, facit
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in altera ſuper-
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ficierum coni-
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carum quarum
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baſes ſunt pa-
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rallelus ſemper
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apparentiũ ma-
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ximus & maxi-
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mus ſemper la-
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tentium, Para-
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bolam.</
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ergo communis earundem ſuperficierum, &</
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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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">ITAQVE, cum Horizon quilibet obliquus tangat duos parallelos, quorum alter eſt maximus eo-
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rum, qui ſemper apparent, alter uerò maximus eorum, qui ſemper ſub terra occultantur; </
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<
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<
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ſectio plani horologii Horizontalis, & </
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<
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(neque enim alter conus, cuius baſis ſemper apparet, ſecatur, cum totus extet ſupra Horizontem) Parabo-
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le. </
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<
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<
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circulo horæ cuiuslibet ab ortu, vel occaſu æquidiſtat. </
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<
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<
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45. </
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<
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">& </
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<
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xml:space
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">circulus cuiuslibet horæ ab ortu, uel occaſu, in omni Horizonte tangit maximum parallelum eo-
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rum, qui toti ſupra Horizontem extant, vt propoſ. </
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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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xml:space
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">DENIQVE communis ſectio cuiuſcunque horologii, & </
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<
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">coni, cuius baſis tantum ab Aequatore de-
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clinat ad Auſtrum, quantum eſt complementum altitudinis poli arctici ſupra circulum maximum, cui pla
<
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<
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xlink:label
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">Quæ horologia
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faciant in coni-
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eis ſuperfic@eb
<
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,
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quarum baſes
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ſunt quicũque
<
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paralleli Solis,
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Parabolas.</
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>
num horologii æquidiſtat, Parabole erit. </
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>
<
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xml:space
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">Talis erit ſectio coni baſim habentis parallelum ♑, & </
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<
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logii horizontalis ad latitudinem ſeptentrionalem grad. </
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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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tudinis continet grad. </
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<
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<
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">min. </
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<
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<
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">quanta nimirum eſt declinatio paralleli ♑. </
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>
<
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xml:space
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">Talis etiam erit ſectio
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coni baſim habentis parallelum ♒ & </
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>
<
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">♐, & </
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<
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echoid-s1601
"
xml:space
="
preserve
">horologii horizontalis ad latitudinem ſeptentrionalem
<
lb
/>
graduum 69. </
s
>
<
s
xml:id
="
echoid-s1602
"
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="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s1603
"
xml:space
="
preserve
">48. </
s
>
<
s
xml:id
="
echoid-s1604
"
xml:space
="
preserve
">Complementum enim latitudinis iſtius, nempe grad. </
s
>
<
s
xml:id
="
echoid-s1605
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s1606
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s1607
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s1608
"
xml:space
="
preserve
">ęquale eſt </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>