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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ris ad lineam meridianam in eo inuentam) & </
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>
<
s
xml:id
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xml:space
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">horologium ipſum eleuetur ex parte boreali ſecun
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dum inclinationem plani, ita vt eius linea meridiana cum meridiana linea in plano, quod Hori-
<
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zonti æquidiſtat, inuenta ad partes ſeptentrionis contineat angulum inclinationis: </
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>
<
s
xml:id
="
echoid-s40772
"
xml:space
="
preserve
">hac tamen le-
<
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ge, vt in ſuperiori facie plani, quæ ad Zenith, & </
s
>
<
s
xml:id
="
echoid-s40773
"
xml:space
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preserve
">meridiem conuertitur, centrum horologii infra
<
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lineam æquinoctialem exiſtat, in inferiori verò, & </
s
>
<
s
xml:id
="
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xml:space
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">boreali ſupra eandem. </
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>
<
s
xml:id
="
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xml:space
="
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">Ordo horarum hic erit.
<
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/>
</
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>
<
s
xml:id
="
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"
xml:space
="
preserve
">In ſuperiori horologio horæ poſt med. </
s
>
<
s
xml:id
="
echoid-s40777
"
xml:space
="
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">noc. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ſunt nobis ad horologium verſus boream conuerſis
<
lb
/>
ad ſiniſtram lineæ meridianæ, & </
s
>
<
s
xml:id
="
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xml:space
="
preserve
">pomeridianæ ad dexteram eiuſdem, ita vt portio lineæ meridia-
<
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/>
næ à centro verſus æquinoctialem lineam ſignificet horam 12. </
s
>
<
s
xml:id
="
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xml:space
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">meridiei, & </
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>
<
s
xml:id
="
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xml:space
="
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">reliqua portio à cen-
<
lb
/>
tro etiam inchoata horam 12. </
s
>
<
s
xml:id
="
echoid-s40782
"
xml:space
="
preserve
">mediæ noctis, quemadmodum in horologio horizontali. </
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>
<
s
xml:id
="
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"
xml:space
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">In infe-
<
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riori autem cõtrario modo ſe res habet: </
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>
<
s
xml:id
="
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"
xml:space
="
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">quia horæ poſt med. </
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>
<
s
xml:id
="
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"
xml:space
="
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">noc. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">ſunt nobis ad horologium ver-
<
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<
note
position
="
left
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xlink:label
="
note-0632-01
"
xlink:href
="
note-0632-01a
"
xml:space
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">10</
note
>
ſus auſtrum conuerſis ad dexteram ipſius lineę meridianæ, & </
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>
<
s
xml:id
="
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"
xml:space
="
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">pomeridianæ ad ſiniſtram, ita vt por
<
lb
/>
tio lineæ meridianæ à centro verſus lineam æquinoctialem indicet horam 12. </
s
>
<
s
xml:id
="
echoid-s40788
"
xml:space
="
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">mediæ noctis, & </
s
>
<
s
xml:id
="
echoid-s40789
"
xml:space
="
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">re-
<
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/>
liqua portio à centro quoque inchoata horam 12. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">meridiei, vt in Verticali horologio ad bo-
<
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ream ſpectante.</
s
>
<
s
xml:id
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xml:space
="
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"/>
</
p
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<
p
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ARCVS præterea ſignorum borealium exiſtunt inter centrum, & </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">æquinoctialem lineam in
<
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/>
horologio ſuperiori, & </
s
>
<
s
xml:id
="
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"
xml:space
="
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">auſtralium vltra lineam æquinoctialem: </
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>
<
s
xml:id
="
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"
xml:space
="
preserve
">In inferiori autem contrario
<
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ſe modo habent.</
s
>
<
s
xml:id
="
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xml:space
="
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"/>
</
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>
</
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<
div
xml:id
="
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type
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n
="
517
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<
head
xml:id
="
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"
style
="
it
"
xml:space
="
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">PRAECEPTVM III.</
head
>
<
p
>
<
s
xml:id
="
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"
xml:space
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">INCLINATIONE denique plani ſuperante poli altitudinem, ſi altitudo poli ab incli-
<
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<
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xlink:label
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note-0632-02
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xlink:href
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note-0632-02a
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xml:space
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">20</
note
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natione auferatur, remanebit altitudo poli ſupra planum propoſitum; </
s
>
<
s
xml:id
="
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"
xml:space
="
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">ad quam horologium ho-
<
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zontale fabricandum eſt, ex doctrina cap. </
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<
s
xml:id
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xml:space
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">1. </
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>
<
s
xml:id
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xml:space
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">quod locandum erit, vt pręcedens, hoc excepto, quod
<
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/>
hic in ſuperiori, & </
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<
s
xml:id
="
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xml:space
="
preserve
">auſtrali facie plani centrum horologij ſtatuendum eſt ſupra lineam æquino-
<
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/>
ctialem, in inferiori verò, & </
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>
<
s
xml:id
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xml:space
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">boreali infra eandem, veluti in Verticalibus horologiis fit. </
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>
<
s
xml:id
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xml:space
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">Ordo
<
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horarum idem hic eſt omnino, qui in 2. </
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>
<
s
xml:id
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xml:space
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">pręcepto declaratus eſt.</
s
>
<
s
xml:id
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xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ARCVS autem ſignorum auſtralium includuntur inter centrum, & </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">æquinoctialem lineam
<
lb
/>
in ſuperiori horologio, & </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">Borealium vltra lineam æquinoctialem: </
s
>
<
s
xml:id
="
echoid-s40809
"
xml:space
="
preserve
">At in inferiori oppoſito ſe
<
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/>
modo habent.</
s
>
<
s
xml:id
="
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xml:space
="
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"/>
</
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</
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<
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type
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n
="
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<
head
xml:id
="
echoid-head547
"
style
="
it
"
xml:space
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">PRAECEPTVM IIII.</
head
>
<
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xml:space
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">30</
note
>
<
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>
<
s
xml:id
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xml:space
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">RVRSVS quando planum horologii ſuperioris borealis, vel inferioris auſtralis, cuius ni-
<
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/>
mirum inclinationis angulus in auſtrum vergit, inclinationem æqualem habet complemento al-
<
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/>
titudinis poli, idem erit eius horologium, quod Aequinoctiale ſuperius, ac inferius cap. </
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>
<
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xml:space
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">20. </
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>
<
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">de-
<
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ſcriptum.</
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>
<
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</
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</
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<
div
xml:id
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type
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n
="
519
">
<
head
xml:id
="
echoid-head548
"
style
="
it
"
xml:space
="
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">PRAECEPTVM V.</
head
>
<
p
>
<
s
xml:id
="
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"
xml:space
="
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">QVANDO verò eius inclinatio minor eſt cõplemento altitudinis poli, ſi addatur inclinatio
<
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/>
altitudini poli, conflabitur altitudo poli ſupra ipſum planum; </
s
>
<
s
xml:id
="
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"
xml:space
="
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">ad quam ſecundum doctrinã cap. </
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>
<
s
xml:id
="
echoid-s40817
"
xml:space
="
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">1.
<
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</
s
>
<
s
xml:id
="
echoid-s40818
"
xml:space
="
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">horologium horizontale conſtruendum eſt; </
s
>
<
s
xml:id
="
echoid-s40819
"
xml:space
="
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">quod collocandum erit, vt in 2. </
s
>
<
s
xml:id
="
echoid-s40820
"
xml:space
="
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">præcepto diximus,
<
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/>
niſi quòd hoc horologium eleuandum eſt ex parte auſtrali ſecundum inclinationem plani, ita vt
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0632-04
"
xlink:href
="
note-0632-04a
"
xml:space
="
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">40</
note
>
eius meridiana linea cum linea meridiana in plano, quod Horizonti æquidiſtat, inuenta con-
<
lb
/>
ſtituat angulum inclinationis ad partes auſtrales, hac inſuper adiecta conditione, vt in ſuperiori,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s40821
"
xml:space
="
preserve
">boreali facie plani centrum horologii ſedem habeat ſupra lineam æquinoctialem, at verò in
<
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/>
inferiori, & </
s
>
<
s
xml:id
="
echoid-s40822
"
xml:space
="
preserve
">auſtrali infra eandem. </
s
>
<
s
xml:id
="
echoid-s40823
"
xml:space
="
preserve
">Ordo horarum hic erit. </
s
>
<
s
xml:id
="
echoid-s40824
"
xml:space
="
preserve
">In horologio ſuperiori, nobis ad
<
lb
/>
horologium conuerſis, horæ ad dexteram lineæ meridianæ exiſtentes ſunt poſt med. </
s
>
<
s
xml:id
="
echoid-s40825
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s40826
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s40827
"
xml:space
="
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">quæ
<
lb
/>
ad eiuſdem ſiniſtram, pomeridianæ; </
s
>
<
s
xml:id
="
echoid-s40828
"
xml:space
="
preserve
">hac tamen lege, vt portio lineę meridianæ à centro verſus
<
lb
/>
æquinoctialem lineam notet horam 12. </
s
>
<
s
xml:id
="
echoid-s40829
"
xml:space
="
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">meridiei, & </
s
>
<
s
xml:id
="
echoid-s40830
"
xml:space
="
preserve
">reliqua portio à centro etiam inchoata horã
<
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/>
12. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">mediæ noctis. </
s
>
<
s
xml:id
="
echoid-s40832
"
xml:space
="
preserve
">In inferiori verò, nobis ad horologium conuerſis, horæ à med. </
s
>
<
s
xml:id
="
echoid-s40833
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s40834
"
xml:space
="
preserve
">reperiun-
<
lb
/>
tur ad ſiniſtram lineæ meridianæ, & </
s
>
<
s
xml:id
="
echoid-s40835
"
xml:space
="
preserve
">pomeridianæ ad dexteram, ita tamen vt portio lineæ meri-
<
lb
/>
dianæ à centro verſus æquinoctialem lineam pertineat ad horam 12. </
s
>
<
s
xml:id
="
echoid-s40836
"
xml:space
="
preserve
">medię noctis, & </
s
>
<
s
xml:id
="
echoid-s40837
"
xml:space
="
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">portio reli-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0632-05
"
xlink:href
="
note-0632-05a
"
xml:space
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">50</
note
>
qua à centro initium quoque ſumens horam 12. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">meridiei indicet.</
s
>
<
s
xml:id
="
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"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s40840
"
xml:space
="
preserve
">ARCVS porrò ſignorum borealium ſunt illi, qui continentur in horologio ſuperiori inter
<
lb
/>
centrum, & </
s
>
<
s
xml:id
="
echoid-s40841
"
xml:space
="
preserve
">lineam æquinoctialem, qui verò vltra dictam lineam ſunt, ad ſigna auſtralia perti-
<
lb
/>
nent, vt in horizontali horologio. </
s
>
<
s
xml:id
="
echoid-s40842
"
xml:space
="
preserve
">In inferiori autem contrario modo res ſe ſe habet.</
s
>
<
s
xml:id
="
echoid-s40843
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
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"
type
="
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"
level
="
1
"
n
="
520
">
<
head
xml:id
="
echoid-head549
"
style
="
it
"
xml:space
="
preserve
">PRAECEPTVM VI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s40844
"
xml:space
="
preserve
">SI denique inclinatio plani maior fuerit complemento altitudinis poli, addendum erit incli-
<
lb
/>
nationis complementum complemento altitudinis poli. </
s
>
<
s
xml:id
="
echoid-s40845
"
xml:space
="
preserve
">Hac enim ratione coficietur altitudo
<
lb
/>
poli ſupra planum propoſitum; </
s
>
<
s
xml:id
="
echoid-s40846
"
xml:space
="
preserve
">ad quam, vt cap. </
s
>
<
s
xml:id
="
echoid-s40847
"
xml:space
="
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">1. </
s
>
<
s
xml:id
="
echoid-s40848
"
xml:space
="
preserve
">docuimus, horologium horizontale compo
<
lb
/>
nendum eſt; </
s
>
<
s
xml:id
="
echoid-s40849
"
xml:space
="
preserve
">quod locari debet, vt in antecedenti præcepto docuimus, hac tamen cõditione, vt in
<
lb
/>
ſuperiori, & </
s
>
<
s
xml:id
="
echoid-s40850
"
xml:space
="
preserve
">boreali facie plani centrum horologii ſtatuatur infra lineam æquinoctialem, </
s
>
</
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>
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>
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