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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"
xml:space
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">ALITER. </
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>
<
s
xml:id
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echoid-s13024
"
xml:space
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">Deſcribantur in horologio Aſtronomico, per propoſ. </
s
>
<
s
xml:id
="
echoid-s13025
"
xml:space
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">2. </
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>
<
s
xml:id
="
echoid-s13026
"
xml:space
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">huius lib. </
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>
<
s
xml:id
="
echoid-s13027
"
xml:space
="
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">duo paralleli
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0216-01
"
xlink:href
="
note-0216-01a
"
xml:space
="
preserve
">Alia deſctiptio
<
lb
/>
horologii Itali-
<
lb
/>
ci horizonalis,
<
lb
/>
per arcus diur-
<
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nos.</
note
>
arcuum diurnorum, vnus horarum 14. </
s
>
<
s
xml:id
="
echoid-s13028
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13029
"
xml:space
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">horarum 10. </
s
>
<
s
xml:id
="
echoid-s13030
"
xml:space
="
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">alter; </
s
>
<
s
xml:id
="
echoid-s13031
"
xml:space
="
preserve
">Vel potius (quod quidem ſatis erit
<
lb
/>
ad propoſitum negotium) in horis à meridie, & </
s
>
<
s
xml:id
="
echoid-s13032
"
xml:space
="
preserve
">à media nocte imprimantur puncta, per quæ di-
<
lb
/>
ctiarcus tranſire debent, etiamſi arcus ipſi non ducantur. </
s
>
<
s
xml:id
="
echoid-s13033
"
xml:space
="
preserve
">Deinde diligenter conſiderentur tabu-
<
lb
/>
læ arcuum diurnorum horarum 10. </
s
>
<
s
xml:id
="
echoid-s13034
"
xml:space
="
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">12. </
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>
<
s
xml:id
="
echoid-s13035
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s13036
"
xml:space
="
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">14. </
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>
<
s
xml:id
="
echoid-s13037
"
xml:space
="
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">quas in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13038
"
xml:space
="
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">33. </
s
>
<
s
xml:id
="
echoid-s13039
"
xml:space
="
preserve
">præcedentis libri poſui-
<
lb
/>
mus. </
s
>
<
s
xml:id
="
echoid-s13040
"
xml:space
="
preserve
">In his enim ſtatim apparebit, per quasnam horas à meridie, vel media nocte dictorum ar-
<
lb
/>
cuum ducendæ ſint horæ ab occaſu Solis. </
s
>
<
s
xml:id
="
echoid-s13041
"
xml:space
="
preserve
">Ita namque vides, horam 23. </
s
>
<
s
xml:id
="
echoid-s13042
"
xml:space
="
preserve
">ab occaſu ducendam eſſe
<
lb
/>
per horam quartam à meridie in arcu horarum 10. </
s
>
<
s
xml:id
="
echoid-s13043
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13044
"
xml:space
="
preserve
">per horam quintam à meridie in arcu ho-
<
lb
/>
rarum 12. </
s
>
<
s
xml:id
="
echoid-s13045
"
xml:space
="
preserve
">(qui idem eſt hic, quod æquinoctialis linea) & </
s
>
<
s
xml:id
="
echoid-s13046
"
xml:space
="
preserve
">per horam ſextam à meridie in arcu ho-
<
lb
/>
rarum 14. </
s
>
<
s
xml:id
="
echoid-s13047
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13048
"
xml:space
="
preserve
">ita de cæteris. </
s
>
<
s
xml:id
="
echoid-s13049
"
xml:space
="
preserve
">Horæ autem, quæ in arcu horarum 10. </
s
>
<
s
xml:id
="
echoid-s13050
"
xml:space
="
preserve
">non habent puncta reſponden-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0216-02
"
xlink:href
="
note-0216-02a
"
xml:space
="
preserve
">10</
note
>
tia, quales ſunt omnes horæ ante horam 15. </
s
>
<
s
xml:id
="
echoid-s13051
"
xml:space
="
preserve
">in noſtro exemplo, ducendæ ſunt per puncta in arcu-
<
lb
/>
bus horarum 14. </
s
>
<
s
xml:id
="
echoid-s13052
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13053
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s13054
"
xml:space
="
preserve
">Hora verò duodecima ab occaſu ducenda eſt parallela lineæ æquinoctiali
<
lb
/>
(nam linea horæ duodecimæ ab ortu, vel occaſu, & </
s
>
<
s
xml:id
="
echoid-s13055
"
xml:space
="
preserve
">linea æquinoctialis, parallelæ ſunt in horolo-
<
lb
/>
gio horizontali, vt in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13056
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s13057
"
xml:space
="
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">præcedentis libri docuimus) per horam ſeptimam à me-
<
lb
/>
dia nocte in arcu horarum 14. </
s
>
<
s
xml:id
="
echoid-s13058
"
xml:space
="
preserve
">vt ex tabula dicti arcus conſtat. </
s
>
<
s
xml:id
="
echoid-s13059
"
xml:space
="
preserve
">Quoniam verò hora vndecima ab
<
lb
/>
occaſu ſolum in arcu horarum 14. </
s
>
<
s
xml:id
="
echoid-s13060
"
xml:space
="
preserve
">punctum habet, nempe horam ſextam à media nocte, ducemus
<
lb
/>
horam vndecimam ab ortu per horam quartam à meridie in arcu horarũ 14. </
s
>
<
s
xml:id
="
echoid-s13061
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13062
"
xml:space
="
preserve
">per horam quin-
<
lb
/>
tam à meridie in arcu horarum 12. </
s
>
<
s
xml:id
="
echoid-s13063
"
xml:space
="
preserve
">vt ex dictorum arcuum tabalis conſtat: </
s
>
<
s
xml:id
="
echoid-s13064
"
xml:space
="
preserve
">hæc enim producta
<
lb
/>
dabit horam vndecimam ab occaſu, cum cadat in alteram partem paralleli ſemper apparentium
<
lb
/>
maximi, vt conſtat, ſi hic parallelus deſcriberetur. </
s
>
<
s
xml:id
="
echoid-s13065
"
xml:space
="
preserve
">Nam hora quæcunque ab ortu vltra arcum, ſeu
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0216-03
"
xlink:href
="
note-0216-03a
"
xml:space
="
preserve
">20</
note
>
parallelum ſemper apparentium, vel latentium maximum producta, dat eandem numero horam
<
lb
/>
ab occaſu, & </
s
>
<
s
xml:id
="
echoid-s13066
"
xml:space
="
preserve
">è contrario, vt in ſequenti ſcholio oſtendemus. </
s
>
<
s
xml:id
="
echoid-s13067
"
xml:space
="
preserve
">Tranſibit autem neceſſario hæc ho-
<
lb
/>
ra vndecima ab ortu producta, ſi erratum non fuerit, per horam ſextam à media nocte in arcus ho
<
lb
/>
rarum 14. </
s
>
<
s
xml:id
="
echoid-s13068
"
xml:space
="
preserve
">per quam nimirum hora vndecima ab occaſu ducenda eſt, ex tabula arcu diurni hora-
<
lb
/>
rum 14. </
s
>
<
s
xml:id
="
echoid-s13069
"
xml:space
="
preserve
">Simili ratione, quia hora decima ab occaſu nullum habet punctum in prædictis arcubus
<
lb
/>
diurnis, ducemus horam decimam ab ortu per horam tertiam à meridie in arcu horarum 14. </
s
>
<
s
xml:id
="
echoid-s13070
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13071
"
xml:space
="
preserve
">
<
lb
/>
per horam quartam à meridie in arcu horarum 12. </
s
>
<
s
xml:id
="
echoid-s13072
"
xml:space
="
preserve
">vt ex horum arcuum tabulis cõſtat. </
s
>
<
s
xml:id
="
echoid-s13073
"
xml:space
="
preserve
">Nam hęc
<
lb
/>
producta exhibebit horam decimam ab occaſu, ob cauſam prius dictam. </
s
>
<
s
xml:id
="
echoid-s13074
"
xml:space
="
preserve
">Atque ita procedemus in
<
lb
/>
aliis horis ante decimam, ſi in horologio ducendæ fuerint.</
s
>
<
s
xml:id
="
echoid-s13075
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s13076
"
xml:space
="
preserve
">COMMODISSIME quoque deſcribi poterunt horæ ab occaſu, ſi deſcribatur parallelus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0216-04
"
xlink:href
="
note-0216-04a
"
xml:space
="
preserve
">Alia deſcriptio
<
lb
/>
horologii Itali-
<
lb
/>
ci hotizontalis,
<
lb
/>
per parallelum
<
lb
/>
@emper apparẽ-
<
lb
/>
tium maximũ,
<
lb
/>
ſiue pet arcum
<
lb
/>
diurnum hora-
<
lb
/>
@um 24.</
note
>
<
note
position
="
left
"
xlink:label
="
note-0216-05
"
xlink:href
="
note-0216-05a
"
xml:space
="
preserve
">30</
note
>
omnium ſemper apparentium maximus, ſiue arcus diurnus horarum 24. </
s
>
<
s
xml:id
="
echoid-s13077
"
xml:space
="
preserve
">Nam rectæ ductæ per
<
lb
/>
horas à meridie, vel media nocte in arcu dicto, ſecundum tabulam arcus diurni horarum 24. </
s
>
<
s
xml:id
="
echoid-s13078
"
xml:space
="
preserve
">in
<
lb
/>
ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13079
"
xml:space
="
preserve
">33. </
s
>
<
s
xml:id
="
echoid-s13080
"
xml:space
="
preserve
">præcedentis libri poſitam, & </
s
>
<
s
xml:id
="
echoid-s13081
"
xml:space
="
preserve
">per horas à meridie, vel media nocte arcus diur-
<
lb
/>
ni horarum 12. </
s
>
<
s
xml:id
="
echoid-s13082
"
xml:space
="
preserve
">veluti tabula huius arcus in eodem ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13083
"
xml:space
="
preserve
">33. </
s
>
<
s
xml:id
="
echoid-s13084
"
xml:space
="
preserve
">præcedentis libri poſita do
<
lb
/>
cet, dabunt horarias lineas ab occaſu. </
s
>
<
s
xml:id
="
echoid-s13085
"
xml:space
="
preserve
">Tranſit enim hora 23. </
s
>
<
s
xml:id
="
echoid-s13086
"
xml:space
="
preserve
">ab occaſu per horam vndecimam à
<
lb
/>
meridie illius paralleli, ſeu arcus diurni horarum 24. </
s
>
<
s
xml:id
="
echoid-s13087
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13088
"
xml:space
="
preserve
">per horam quintam à meridie lineæ ęqui
<
lb
/>
noctialis, vel arcus horarum 12. </
s
>
<
s
xml:id
="
echoid-s13089
"
xml:space
="
preserve
">Hora verò 22. </
s
>
<
s
xml:id
="
echoid-s13090
"
xml:space
="
preserve
">per horam decimam prioris arcus, & </
s
>
<
s
xml:id
="
echoid-s13091
"
xml:space
="
preserve
">horam quar-
<
lb
/>
tam æquinoctialis lineæ, vel arcus poſterioris, &</
s
>
<
s
xml:id
="
echoid-s13092
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s13093
"
xml:space
="
preserve
">Vt manifeſtum eſt ex tabulis dictorum arcuum
<
lb
/>
in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13094
"
xml:space
="
preserve
">33. </
s
>
<
s
xml:id
="
echoid-s13095
"
xml:space
="
preserve
">præcedentis libri deſcriptis. </
s
>
<
s
xml:id
="
echoid-s13096
"
xml:space
="
preserve
">Hora autem duodecima ab occaſu ducitur pa-
<
lb
/>
rallela horæ ſextæ à meridie, vel media nocte, ſiue lineæ æquinoctiali, per punctum, quo linea me-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0216-06
"
xlink:href
="
note-0216-06a
"
xml:space
="
preserve
">40</
note
>
ridiana, ſeu horæ 12. </
s
>
<
s
xml:id
="
echoid-s13097
"
xml:space
="
preserve
">à media nocte, quæ eſt hora meridiei, arcum diurnum horarum 24. </
s
>
<
s
xml:id
="
echoid-s13098
"
xml:space
="
preserve
">id eſt,
<
lb
/>
parallelum ſemper apparentium maximum, interſecat: </
s
>
<
s
xml:id
="
echoid-s13099
"
xml:space
="
preserve
">quoniam linea horæ 12. </
s
>
<
s
xml:id
="
echoid-s13100
"
xml:space
="
preserve
">ab ortu, vel oc-
<
lb
/>
caſu, & </
s
>
<
s
xml:id
="
echoid-s13101
"
xml:space
="
preserve
">linea horæ ſextæ à meridie, vel media nocte, & </
s
>
<
s
xml:id
="
echoid-s13102
"
xml:space
="
preserve
">æquinoctialis linea, parallelæ ſunt, vt ex ijs,
<
lb
/>
quæ in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13103
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s13104
"
xml:space
="
preserve
">ſuperioris lib. </
s
>
<
s
xml:id
="
echoid-s13105
"
xml:space
="
preserve
">ſcripſimus, manifeſtum eſt; </
s
>
<
s
xml:id
="
echoid-s13106
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13107
"
xml:space
="
preserve
">linea horæ 12. </
s
>
<
s
xml:id
="
echoid-s13108
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s13109
"
xml:space
="
preserve
">vel
<
lb
/>
occ. </
s
>
<
s
xml:id
="
echoid-s13110
"
xml:space
="
preserve
">tranſit per horam duodecimam à media nocte in arcu diurno horarum 24. </
s
>
<
s
xml:id
="
echoid-s13111
"
xml:space
="
preserve
">vt patet ex tabula
<
lb
/>
arcus diurni horarum 24. </
s
>
<
s
xml:id
="
echoid-s13112
"
xml:space
="
preserve
">in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13113
"
xml:space
="
preserve
">33. </
s
>
<
s
xml:id
="
echoid-s13114
"
xml:space
="
preserve
">eiuſdem libri poſita. </
s
>
<
s
xml:id
="
echoid-s13115
"
xml:space
="
preserve
">Immo linea horæ duodeci-
<
lb
/>
mæ ab or. </
s
>
<
s
xml:id
="
echoid-s13116
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13117
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13118
"
xml:space
="
preserve
">reliquæ omnes ab or. </
s
>
<
s
xml:id
="
echoid-s13119
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13120
"
xml:space
="
preserve
">tangunt prædictum parallelum, ſeu arcum diur
<
lb
/>
num horarum 24. </
s
>
<
s
xml:id
="
echoid-s13121
"
xml:space
="
preserve
">in punctis, in quibus eundem lineæ horarum à mer. </
s
>
<
s
xml:id
="
echoid-s13122
"
xml:space
="
preserve
">vel med. </
s
>
<
s
xml:id
="
echoid-s13123
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s13124
"
xml:space
="
preserve
">ſecant, vt
<
lb
/>
propoſ. </
s
>
<
s
xml:id
="
echoid-s13125
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s13126
"
xml:space
="
preserve
">antecedentis lib. </
s
>
<
s
xml:id
="
echoid-s13127
"
xml:space
="
preserve
">demonſtrauimus. </
s
>
<
s
xml:id
="
echoid-s13128
"
xml:space
="
preserve
">Vel etiam in quibuſdam horologiis ex iis, quæ ſe-
<
lb
/>
quuntur, arcum diurnum hor. </
s
>
<
s
xml:id
="
echoid-s13129
"
xml:space
="
preserve
">o. </
s
>
<
s
xml:id
="
echoid-s13130
"
xml:space
="
preserve
">vel nocturnum horarum 24. </
s
>
<
s
xml:id
="
echoid-s13131
"
xml:space
="
preserve
">hoc eſt, parallelum ſemper occul-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0216-07
"
xlink:href
="
note-0216-07a
"
xml:space
="
preserve
">50</
note
>
torum maximum. </
s
>
<
s
xml:id
="
echoid-s13132
"
xml:space
="
preserve
">Vnde@, vt accuratius horæ ab ortu, vel occaſu ducantur, deſcribi poterunt
<
lb
/>
huiuſmodi arcus, vt propoſ. </
s
>
<
s
xml:id
="
echoid-s13133
"
xml:space
="
preserve
">34. </
s
>
<
s
xml:id
="
echoid-s13134
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13135
"
xml:space
="
preserve
">36. </
s
>
<
s
xml:id
="
echoid-s13136
"
xml:space
="
preserve
">huius lib. </
s
>
<
s
xml:id
="
echoid-s13137
"
xml:space
="
preserve
">à nobis factum eſt in horologio Meridiano,
<
lb
/>
ac polari.</
s
>
<
s
xml:id
="
echoid-s13138
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s13139
"
xml:space
="
preserve
">PORRO ducta vna aliqua hora ab occaſu, vel etiam ab ortu, vt in ſequenti propoſ. </
s
>
<
s
xml:id
="
echoid-s13140
"
xml:space
="
preserve
">dicemus,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0216-08
"
xlink:href
="
note-0216-08a
"
xml:space
="
preserve
">Qua ratione, ſi
<
lb
/>
benefic
<
unsure
/>
io arcuũ
<
lb
/>
diurnorum, vcl
<
lb
/>
nocturnorum,
<
lb
/>
una aliqua ho
<
lb
/>
@a ab occaſu,
<
lb
/>
aut ab ortu du-
<
lb
/>
cta ſit
<
unsure
/>
, aliæ faci
<
lb
/>
li negotio de-
<
lb
/>
ſc
<
unsure
/>
ribi poſſint.</
note
>
beneficio arcuum diurnorum, vel etiam nocturnorum, vt in ſequentibus horologiis patebit, duce-
<
lb
/>
mus alias facili negotio per ſequentia puncta, quę inter ſe reſpondent, nulla alia habita conſidera-
<
lb
/>
tione tabularum, quas in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13141
"
xml:space
="
preserve
">33. </
s
>
<
s
xml:id
="
echoid-s13142
"
xml:space
="
preserve
">pręcedentis libri compoſuimus. </
s
>
<
s
xml:id
="
echoid-s13143
"
xml:space
="
preserve
">Vt ducta v g. </
s
>
<
s
xml:id
="
echoid-s13144
"
xml:space
="
preserve
">hora
<
lb
/>
23. </
s
>
<
s
xml:id
="
echoid-s13145
"
xml:space
="
preserve
">ducemus 22. </
s
>
<
s
xml:id
="
echoid-s13146
"
xml:space
="
preserve
">per proximum punctum in arcu diurno horarum 14. </
s
>
<
s
xml:id
="
echoid-s13147
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13148
"
xml:space
="
preserve
">per proximum in arcu
<
lb
/>
diurno horarum 12. </
s
>
<
s
xml:id
="
echoid-s13149
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13150
"
xml:space
="
preserve
">per proximum in arcu diurno horarum 10. </
s
>
<
s
xml:id
="
echoid-s13151
"
xml:space
="
preserve
">Item 21. </
s
>
<
s
xml:id
="
echoid-s13152
"
xml:space
="
preserve
">per alia ſequentia tria
<
lb
/>
puncta, & </
s
>
<
s
xml:id
="
echoid-s13153
"
xml:space
="
preserve
">ſic de cæteris, vt in exemplo apparet.</
s
>
<
s
xml:id
="
echoid-s13154
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s13155
"
xml:space
="
preserve
">ALITER. </
s
>
<
s
xml:id
="
echoid-s13156
"
xml:space
="
preserve
">Deſcribatur linea horæ duodecimę ab ortu, vel occaſu hac ratione. </
s
>
<
s
xml:id
="
echoid-s13157
"
xml:space
="
preserve
">In </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>