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
"/>
lumus, vt Auſtrale horologium indicet etiam horas in facie plani boreali.) </
s
>
<
s
xml:id
="
echoid-s14638
"
xml:space
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preserve
">omnia lineamenta cũ
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0234-01
"
xlink:href
="
note-0234-01a
"
xml:space
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">@atis eſt, vt de-
<
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ſ@ribatur horo-
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logium auſtra-
<
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le; quia portio
<
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/>
ſuperior abſciſ-
<
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/>
ſa à linea hori-
<
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zõtali d abit ho
<
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rologium bo-
<
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reale, ſi omnes
<
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eius partes in-
<
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uertantur.</
note
>
numeris inter ſe reſpondebunt, ob æqualitatem rectarum H N, H K, & </
s
>
<
s
xml:id
="
echoid-s14639
"
xml:space
="
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">H G, H G, & </
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>
<
s
xml:id
="
echoid-s14640
"
xml:space
="
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">ſectionum
<
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conicarum, &</
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>
<
s
xml:id
="
echoid-s14641
"
xml:space
="
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">c. </
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>
<
s
xml:id
="
echoid-s14642
"
xml:space
="
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">Quocirca ſatis erit, ſi horologiũ Verticale, quod ad meridiem ſpectat, delineetur,
<
lb
/>
vna cum ſignorũ parallelis. </
s
>
<
s
xml:id
="
echoid-s14643
"
xml:space
="
preserve
">Nam linea horizõtalis A B, abſc indet portionẽ ex parte ſuperiore, quę
<
lb
/>
horologiũ boreale referet, ſi modo talẽ ſortiatur ſitũ in facie plani boreali, vt horizontalis linea in
<
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/>
ſuperiori loco collocetur, & </
s
>
<
s
xml:id
="
echoid-s14644
"
xml:space
="
preserve
">pars dextra, quæ tunc eſt verſus A, fiat ſiniſtra, & </
s
>
<
s
xml:id
="
echoid-s14645
"
xml:space
="
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">ſiniſtra fiat dextra.
<
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/>
</
s
>
<
s
xml:id
="
echoid-s14646
"
xml:space
="
preserve
">Hæc autẽ inuerſio ita facile fiet. </
s
>
<
s
xml:id
="
echoid-s14647
"
xml:space
="
preserve
">Cõuerſo ad nos horologio auſtrali (quod inuerti debet) ita vt pro-
<
lb
/>
prium ſuũ ſitum habeat, ac poſitionẽ; </
s
>
<
s
xml:id
="
echoid-s14648
"
xml:space
="
preserve
">ſi in facie plani oppoſita, nempe boreali, eadem lineamenta
<
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/>
<
note
position
="
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"
xlink:label
="
note-0234-02
"
xlink:href
="
note-0234-02a
"
xml:space
="
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">Qu@ pacto in-
<
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/>
@e@ti debeant
<
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/>
partes illius por
<
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/>
tionis horologii
<
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/>
auſtralis, quam
<
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/>
horizontalis li-
<
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/>
nea abſcindit,
<
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/>
vt exhibeat ho-
<
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/>
rologiũ borea-
<
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le.</
note
>
deſcribãtur, ita vt nulla in re à lineamentis Auſtralis horologij diſcrepent, ſed eis reſpondeant ad
<
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/>
vnguem; </
s
>
<
s
xml:id
="
echoid-s14649
"
xml:space
="
preserve
">deinde horologium hoc modo in facie oppoſita deſcriptum circumuoluatur circa ſtylũ,
<
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/>
<
note
position
="
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xlink:label
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xlink:href
="
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xml:space
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">10</
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>
tanquam axem, in eadem facie oppoſita, donec pars ſuperior euadat inferior, & </
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>
<
s
xml:id
="
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"
xml:space
="
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">contra, lineaq́; </
s
>
<
s
xml:id
="
echoid-s14651
"
xml:space
="
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">ho
<
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/>
rizontalis Horizonti æquidiſtet, habebimus in oppoſita facie horologium boreale in proprio ſitu,
<
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/>
ac ſi Auſtrale horologiũ inuerſum fuiſſet, vt diximus; </
s
>
<
s
xml:id
="
echoid-s14652
"
xml:space
="
preserve
">hoc eſt, ac ſi ſuperior pars Auſtralis horolo-
<
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gii in inferiorem, & </
s
>
<
s
xml:id
="
echoid-s14653
"
xml:space
="
preserve
">dextra in ſiniſtram fuiſſet commutata: </
s
>
<
s
xml:id
="
echoid-s14654
"
xml:space
="
preserve
">vt patet rem attente conſideranti.</
s
>
<
s
xml:id
="
echoid-s14655
"
xml:space
="
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"/>
</
p
>
<
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>
<
s
xml:id
="
echoid-s14656
"
xml:space
="
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">QVOD autem portio illa
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<
figure
xlink:label
="
fig-0234-01
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xlink:href
="
fig-0234-01a
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number
="
162
">
<
image
file
="
0234-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0234-01
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</
figure
>
horologii Auſtralis, quam ab-
<
lb
/>
ſcindit linea horizontalis ex par
<
lb
/>
te ſuperiore, exhibeat nobis ho-
<
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/>
rologium Boreale, ſi inuertatur,
<
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/>
vt diximus, hinc etiam perſpi-
<
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<
note
position
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xlink:label
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xlink:href
="
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xml:space
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">20</
note
>
cuum fiet. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">Quoniam, vt in ſcho
<
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/>
lio præcedentis propoſ. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">demon-
<
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/>
ſtrauimus, horologium Auſtra-
<
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/>
le conuerſum, vt ſuperiora fiant
<
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/>
inferiora, & </
s
>
<
s
xml:id
="
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"
xml:space
="
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">dextra euadant ſini
<
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ſtra, & </
s
>
<
s
xml:id
="
echoid-s14660
"
xml:space
="
preserve
">contra, mutatur in Bo-
<
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/>
reale; </
s
>
<
s
xml:id
="
echoid-s14661
"
xml:space
="
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">eſtq́ue recta A B, commu-
<
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/>
nis ſectio Horizontis & </
s
>
<
s
xml:id
="
echoid-s14662
"
xml:space
="
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">horolo-
<
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/>
gii, vt hic oſtẽſum eſt; </
s
>
<
s
xml:id
="
echoid-s14663
"
xml:space
="
preserve
">fit vt pars
<
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/>
illa, quam horizontalis linea ab-
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0234-05
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xlink:href
="
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xml:space
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">30</
note
>
ſcindit verſus lineam æquino-
<
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ctialem, hoc eſt, verſus partem
<
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/>
ſuperiorem in horologio Borea
<
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/>
li, (quod factum eſt ex illa inuer
<
lb
/>
ſione horologii Auſtralis) ſit ſu
<
lb
/>
peruacanea, cum in illam vm-
<
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/>
bra ſtyli cadere non poſſit. </
s
>
<
s
xml:id
="
echoid-s14664
"
xml:space
="
preserve
">Qua-
<
lb
/>
re portio reliqua abſciſſa erit ho
<
lb
/>
rologium Boreale; </
s
>
<
s
xml:id
="
echoid-s14665
"
xml:space
="
preserve
">quod ad li-
<
lb
/>
neas horarum attinet. </
s
>
<
s
xml:id
="
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xml:space
="
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">Quod ve-
<
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<
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position
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xlink:label
="
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xlink:href
="
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"
xml:space
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">40</
note
>
rò ſpectat ad arcus, parallelosve
<
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/>
ſignorũ, mutantur arcus ſigno-
<
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/>
rum horologii Auſtralis in ho-
<
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/>
rologio boreali in arcus ſigno-
<
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/>
rum oppoſitorum, vt arcus ♑,
<
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/>
in arcum ♋, &</
s
>
<
s
xml:id
="
echoid-s14667
"
xml:space
="
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">c. </
s
>
<
s
xml:id
="
echoid-s14668
"
xml:space
="
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">vt perſpicuum eſt ex Analemmate huius propoſ. </
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>
<
s
xml:id
="
echoid-s14669
"
xml:space
="
preserve
">ſi rectè conſiderentur coni vm-
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0234-07
"
xlink:href
="
note-0234-07a
"
xml:space
="
preserve
">Arcus ſignorũ
<
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/>
horologii au-
<
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/>
ſtralis mutan-
<
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/>
tur in horolo
<
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/>
gio boreali in
<
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/>
arcus ſignorum
<
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/>
oppoſitorum.</
note
>
bre, quibus planum horologij Auſtralis occurrit, & </
s
>
<
s
xml:id
="
echoid-s14670
"
xml:space
="
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">coni vmbræ, quibus occurrit planum Borealis
<
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/>
horologii. </
s
>
<
s
xml:id
="
echoid-s14671
"
xml:space
="
preserve
">Sunt enim huiuſmodi coni vmbræ in vtroque horologio ſignorum oppoſitorum.
<
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/>
</
s
>
<
s
xml:id
="
echoid-s14672
"
xml:space
="
preserve
">Vt quemadmodum conus vmbræ, Sole exiſtente in principio ♑, abrumpitur in Auſtrali horolo-
<
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/>
gio in puncto N, & </
s
>
<
s
xml:id
="
echoid-s14673
"
xml:space
="
preserve
">prope locum ſtyli G, ita in horologio Boreali conus vmbræ, Sole exiſtente in
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0234-08
"
xlink:href
="
note-0234-08a
"
xml:space
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">50</
note
>
principio ♋, abrumpitur in puncto K, prope locum etiã ſtyli G, &</
s
>
<
s
xml:id
="
echoid-s14674
"
xml:space
="
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">c. </
s
>
<
s
xml:id
="
echoid-s14675
"
xml:space
="
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">Idem intelligendũ eſt de arcu
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0234-09
"
xlink:href
="
note-0234-09a
"
xml:space
="
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">Arcus quoque
<
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/>
diurni horolo-
<
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/>
gii auſtralis mu
<
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/>
tantur in borea
<
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/>
li horologio in
<
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/>
arcus diurnos
<
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/>
oppoſitos.</
note
>
bus diurnis, de quibus in ſequenti propoſ. </
s
>
<
s
xml:id
="
echoid-s14676
"
xml:space
="
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">agemus. </
s
>
<
s
xml:id
="
echoid-s14677
"
xml:space
="
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">Mutantur enim & </
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>
<
s
xml:id
="
echoid-s14678
"
xml:space
="
preserve
">hi in arcus diurnos oppoſi-
<
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/>
tos in horologio boreali. </
s
>
<
s
xml:id
="
echoid-s14679
"
xml:space
="
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">Vt arcus diurnus horarũ 10. </
s
>
<
s
xml:id
="
echoid-s14680
"
xml:space
="
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">Auſtralis horologii mutatur in horologio
<
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/>
boreali in arcũ diurnũ horarum 14. </
s
>
<
s
xml:id
="
echoid-s14681
"
xml:space
="
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">&</
s
>
<
s
xml:id
="
echoid-s14682
"
xml:space
="
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">c. </
s
>
<
s
xml:id
="
echoid-s14683
"
xml:space
="
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">Sed huius rei aliã cauſam afferemus propoſ. </
s
>
<
s
xml:id
="
echoid-s14684
"
xml:space
="
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">21. </
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>
<
s
xml:id
="
echoid-s14685
"
xml:space
="
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">huius lib.</
s
>
<
s
xml:id
="
echoid-s14686
"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s14687
"
xml:space
="
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">PORRO horizontalis linea pulchrè demonſtrat, quanam hora Sol in quolibet parallelo exi-
<
lb
/>
ſtens oriatur, aut occidat. </
s
>
<
s
xml:id
="
echoid-s14688
"
xml:space
="
preserve
">Nam vbi ſectiones conicæ ſecant lineam horizontalem, ibi Sol oritur
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0234-10
"
xlink:href
="
note-0234-10a
"
xml:space
="
preserve
">Horizontalis li
<
lb
/>
nea indicat, qua
<
lb
/>
hora Sol otia-
<
lb
/>
@ur, vel occidat.</
note
>
vel occidit exiſtens in illis parallelis, quos dictæ ſectiones referunt. </
s
>
<
s
xml:id
="
echoid-s14689
"
xml:space
="
preserve
">Si igitur per illa puncta, vbi
<
lb
/>
ſe mutuo ſecant linea horizontalis, & </
s
>
<
s
xml:id
="
echoid-s14690
"
xml:space
="
preserve
">ſectiones conicę, lineæ horariæ ducantur indicabunt hæ tem
<
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/>
pus ortus & </
s
>
<
s
xml:id
="
echoid-s14691
"
xml:space
="
preserve
">occaſus Solis, &</
s
>
<
s
xml:id
="
echoid-s14692
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s14693
"
xml:space
="
preserve
">Ita vides in horologio Auſtrali, Solem exiſtentẽ in principio ♑, ori-
<
lb
/>
ri circa horam 7 {1/2}. </
s
>
<
s
xml:id
="
echoid-s14694
"
xml:space
="
preserve
">à media nocte, & </
s
>
<
s
xml:id
="
echoid-s14695
"
xml:space
="
preserve
">occidere circ a horam 4 {1/2}. </
s
>
<
s
xml:id
="
echoid-s14696
"
xml:space
="
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">à meridie. </
s
>
<
s
xml:id
="
echoid-s14697
"
xml:space
="
preserve
">In ♒, verò & </
s
>
<
s
xml:id
="
echoid-s14698
"
xml:space
="
preserve
">♐, eun-
<
lb
/>
dem oriri paulo ante horam 7 {1/2}. </
s
>
<
s
xml:id
="
echoid-s14699
"
xml:space
="
preserve
">à media nocte, & </
s
>
<
s
xml:id
="
echoid-s14700
"
xml:space
="
preserve
">occidere paulo poſt horam 4 {1/2}. </
s
>
<
s
xml:id
="
echoid-s14701
"
xml:space
="
preserve
">à meridie.</
s
>
<
s
xml:id
="
echoid-s14702
"
xml:space
="
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"/>
</
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>
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