Clavius, Christoph
,
In Sphaeram Ioannis de Sacro Bosco commentarius
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Comment. in II. Cap. Sphæræ
"/>
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<
head
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xml:space
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preserve
">VSVS TABVLARVM PRÆCEDENTIVM.</
head
>
<
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s
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<
emph
style
="
sc
">Si</
emph
>
gradus in horas ſunt commutandi, accipiendi erunt gradus in priori ta-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-268-01
"
xlink:href
="
note-268-01a
"
xml:space
="
preserve
">Qua ratio-
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ne ex præce
<
lb
/>
dentibus ta
<
lb
/>
bulis redu-
<
lb
/>
cantur gra
<
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/>
dus acminu
<
lb
/>
ta ad hora,
<
lb
/>
& co
<
unsure
/>
tra.</
note
>
bella ſub titulo G. </
s
>
<
s
xml:id
="
echoid-s9402
"
xml:space
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">& </
s
>
<
s
xml:id
="
echoid-s9403
"
xml:space
="
preserve
">mox duæ ſubſequentes columnę iudicabunt horas, minu
<
lb
/>
taq́; </
s
>
<
s
xml:id
="
echoid-s9404
"
xml:space
="
preserve
">horarum, quæ gradibus acceptis debentur. </
s
>
<
s
xml:id
="
echoid-s9405
"
xml:space
="
preserve
">Sic uides gradibus 4. </
s
>
<
s
xml:id
="
echoid-s9406
"
xml:space
="
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">reſponde
<
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/>
re min. </
s
>
<
s
xml:id
="
echoid-s9407
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xml:space
="
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">16. </
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>
<
s
xml:id
="
echoid-s9408
"
xml:space
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">horæ. </
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>
<
s
xml:id
="
echoid-s9409
"
xml:space
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">Item gradib. </
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>
<
s
xml:id
="
echoid-s9410
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xml:space
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">27. </
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<
s
xml:id
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"
xml:space
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">horam 1. </
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>
<
s
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xml:space
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">min. </
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<
s
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">48. </
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<
s
xml:id
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xml:space
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">Item gradibus 45. </
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>
<
s
xml:id
="
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"
xml:space
="
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">horas 3.
<
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/>
</
s
>
<
s
xml:id
="
echoid-s9416
"
xml:space
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">min. </
s
>
<
s
xml:id
="
echoid-s9417
"
xml:space
="
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">0. </
s
>
<
s
xml:id
="
echoid-s9418
"
xml:space
="
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">Item gradibus 250. </
s
>
<
s
xml:id
="
echoid-s9419
"
xml:space
="
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">horas 86. </
s
>
<
s
xml:id
="
echoid-s9420
"
xml:space
="
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">min. </
s
>
<
s
xml:id
="
echoid-s9421
"
xml:space
="
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">40. </
s
>
<
s
xml:id
="
echoid-s9422
"
xml:space
="
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">&</
s
>
<
s
xml:id
="
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"
xml:space
="
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">c. </
s
>
<
s
xml:id
="
echoid-s9424
"
xml:space
="
preserve
">Quod ſi numerus graduum
<
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/>
præciſe in prædicta tabella non reperiatur, accipiendus erit numerus proxi-
<
lb
/>
me minor, cum horis, ac minutis reſpondentibus: </
s
>
<
s
xml:id
="
echoid-s9425
"
xml:space
="
preserve
">Deinde reliqui gradus ite-
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rum ſumendi cum horis & </
s
>
<
s
xml:id
="
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"
xml:space
="
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">minutis correſpondentibus: </
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>
<
s
xml:id
="
echoid-s9427
"
xml:space
="
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">Atque tandem poſte-
<
lb
/>
riores horæ, ac minuta cum prioribus coniungenda. </
s
>
<
s
xml:id
="
echoid-s9428
"
xml:space
="
preserve
">Vt ſi ſcire lubeat, quot
<
unsure
/>
<
lb
/>
horæ reſpondeant gradibus 215. </
s
>
<
s
xml:id
="
echoid-s9429
"
xml:space
="
preserve
">Accipiendæ erunt hocæ 14. </
s
>
<
s
xml:id
="
echoid-s9430
"
xml:space
="
preserve
">reſpondentes gra
<
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/>
dibus 210. </
s
>
<
s
xml:id
="
echoid-s9431
"
xml:space
="
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">Deinde ſumenda min. </
s
>
<
s
xml:id
="
echoid-s9432
"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
echoid-s9433
"
xml:space
="
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">reſpondentia reliquis gradibus 5. </
s
>
<
s
xml:id
="
echoid-s9434
"
xml:space
="
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">Atque
<
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/>
ita gradibus 215. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">debentur horæ 14. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">min. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">& </
s
>
<
s
xml:id
="
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"
xml:space
="
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">ſic de cæteris.</
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>
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</
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<
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<
s
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<
emph
style
="
sc
">Si</
emph
>
vero minuta, uel ſecunda graduum in horas ſunt conuertenda, accipien
<
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/>
da erunt minuta, uel ſecunda graduum, ſupra titulos M, vel S, & </
s
>
<
s
xml:id
="
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"
xml:space
="
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">illico ſequen
<
lb
/>
tes duæ c
<
unsure
/>
olumnæ oſtendent minuta, ſecunda, uel tertia horarum, vt literæ,
<
lb
/>
quæ ad pedem tabellæ ſunt poſitæ, indicant. </
s
>
<
s
xml:id
="
echoid-s9443
"
xml:space
="
preserve
">Hac ratione cernis, minutis 56.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s9444
"
xml:space
="
preserve
">vnius gradus reſpondere min. </
s
>
<
s
xml:id
="
echoid-s9445
"
xml:space
="
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">3. </
s
>
<
s
xml:id
="
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">ſec. </
s
>
<
s
xml:id
="
echoid-s9447
"
xml:space
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">44. </
s
>
<
s
xml:id
="
echoid-s9448
"
xml:space
="
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">unius horæ. </
s
>
<
s
xml:id
="
echoid-s9449
"
xml:space
="
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">Item ſecundis 25. </
s
>
<
s
xml:id
="
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"
xml:space
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">unius
<
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/>
gradus deberi ſec. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">1. </
s
>
<
s
xml:id
="
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"
xml:space
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">ter. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">40. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">unius horæ.</
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>
<
s
xml:id
="
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"
xml:space
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"/>
</
p
>
<
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>
<
s
xml:id
="
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"
xml:space
="
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">
<
emph
style
="
sc
">Havd</
emph
>
aliter ex poſſeriori tabella reducentur horæ, minuta, ſecunda, ac
<
lb
/>
terria horatum ad gradus, minuta ſecunda, & </
s
>
<
s
xml:id
="
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"
xml:space
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">tertia, &</
s
>
<
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xml:id
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"
xml:space
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">c.</
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>
<
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</
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<
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>
<
s
xml:id
="
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">
<
emph
style
="
sc
">Qvod</
emph
>
ſi huiuſcemodi@ tabellis u ti quis noluerit, reducentur gradus, mi-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-268-02
"
xlink:href
="
note-268-02a
"
xml:space
="
preserve
">Quo pacto
<
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/>
ex grad &
<
lb
/>
min. fiant
<
lb
/>
horæ, &
<
lb
/>
min. & con
<
lb
/>
tra, qũo ex
<
lb
/>
hor. & min.
<
lb
/>
fiant grad.
<
lb
/>
& minu@a.</
note
>
nuta, &</
s
>
<
s
xml:id
="
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"
xml:space
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">c. </
s
>
<
s
xml:id
="
echoid-s9462
"
xml:space
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">hoc modo. </
s
>
<
s
xml:id
="
echoid-s9463
"
xml:space
="
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">Multiplicentur gradus, minuta, ſecunda, &</
s
>
<
s
xml:id
="
echoid-s9464
"
xml:space
="
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">c. </
s
>
<
s
xml:id
="
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"
xml:space
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">per 4. </
s
>
<
s
xml:id
="
echoid-s9466
"
xml:space
="
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">Nam
<
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/>
producti numeri dabunt partes temporis proxime minores. </
s
>
<
s
xml:id
="
echoid-s9467
"
xml:space
="
preserve
">Vt productus nu-
<
lb
/>
merus ex gradibus dabit minuta hora@um, productus uero numerus ex minu-
<
lb
/>
tis graduum dabit ſecunda horarum, &</
s
>
<
s
xml:id
="
echoid-s9468
"
xml:space
="
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">c. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">E X E M P L V M. </
s
>
<
s
xml:id
="
echoid-s9470
"
xml:space
="
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">Si grad. </
s
>
<
s
xml:id
="
echoid-s9471
"
xml:space
="
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">9. </
s
>
<
s
xml:id
="
echoid-s9472
"
xml:space
="
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">min. </
s
>
<
s
xml:id
="
echoid-s9473
"
xml:space
="
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">40.
<
lb
/>
</
s
>
<
s
xml:id
="
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"
xml:space
="
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">ſec. </
s
>
<
s
xml:id
="
echoid-s9475
"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
echoid-s9476
"
xml:space
="
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">multiplicentur per 4. </
s
>
<
s
xml:id
="
echoid-s9477
"
xml:space
="
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">producentur hor. </
s
>
<
s
xml:id
="
echoid-s9478
"
xml:space
="
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">o minut. </
s
>
<
s
xml:id
="
echoid-s9479
"
xml:space
="
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">36. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">ſec. </
s
>
<
s
xml:id
="
echoid-s9481
"
xml:space
="
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">160. </
s
>
<
s
xml:id
="
echoid-s9482
"
xml:space
="
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">ter. </
s
>
<
s
xml:id
="
echoid-s9483
"
xml:space
="
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">80. </
s
>
<
s
xml:id
="
echoid-s9484
"
xml:space
="
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">hoc
<
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/>
eſt, hor. </
s
>
<
s
xml:id
="
echoid-s9485
"
xml:space
="
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">0. </
s
>
<
s
xml:id
="
echoid-s9486
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s9487
"
xml:space
="
preserve
">38. </
s
>
<
s
xml:id
="
echoid-s9488
"
xml:space
="
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">ſec. </
s
>
<
s
xml:id
="
echoid-s9489
"
xml:space
="
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">41. </
s
>
<
s
xml:id
="
echoid-s9490
"
xml:space
="
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">ter. </
s
>
<
s
xml:id
="
echoid-s9491
"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
echoid-s9492
"
xml:space
="
preserve
">Rurſus ſi grad. </
s
>
<
s
xml:id
="
echoid-s9493
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s9494
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s9495
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s9496
"
xml:space
="
preserve
">multiplicen-
<
lb
/>
tur per 4. </
s
>
<
s
xml:id
="
echoid-s9497
"
xml:space
="
preserve
">gig@entur hor. </
s
>
<
s
xml:id
="
echoid-s9498
"
xml:space
="
preserve
">0. </
s
>
<
s
xml:id
="
echoid-s9499
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s9500
"
xml:space
="
preserve
">80. </
s
>
<
s
xml:id
="
echoid-s9501
"
xml:space
="
preserve
">ſec. </
s
>
<
s
xml:id
="
echoid-s9502
"
xml:space
="
preserve
">160. </
s
>
<
s
xml:id
="
echoid-s9503
"
xml:space
="
preserve
">hoc eſt, hor. </
s
>
<
s
xml:id
="
echoid-s9504
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s9505
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s9506
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s9507
"
xml:space
="
preserve
">ſec. </
s
>
<
s
xml:id
="
echoid-s9508
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s9509
"
xml:space
="
preserve
">atque
<
lb
/>
ita de cæteris.</
s
>
<
s
xml:id
="
echoid-s9510
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s9511
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Iam</
emph
>
uero, ſi horæ, minuta, &</
s
>
<
s
xml:id
="
echoid-s9512
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s9513
"
xml:space
="
preserve
">diuidantur per 4. </
s
>
<
s
xml:id
="
echoid-s9514
"
xml:space
="
preserve
">producentur partes Ae-
<
lb
/>
quatoris proxime maior@@. </
s
>
<
s
xml:id
="
echoid-s9515
"
xml:space
="
preserve
">Vt ex tertijs horarum producentur ſecunda gra-
<
lb
/>
duum; </
s
>
<
s
xml:id
="
echoid-s9516
"
xml:space
="
preserve
">ex ſecundis horarum producentur minuta graduum; </
s
>
<
s
xml:id
="
echoid-s9517
"
xml:space
="
preserve
">ex minutis hora-
<
lb
/>
rum producentur gradus; </
s
>
<
s
xml:id
="
echoid-s9518
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s9519
"
xml:space
="
preserve
">ex horis deniq; </
s
>
<
s
xml:id
="
echoid-s9520
"
xml:space
="
preserve
">producentur partes unius partis
<
lb
/>
Aequatoris, quæ comprehendat grad. </
s
>
<
s
xml:id
="
echoid-s9521
"
xml:space
="
preserve
">60. </
s
>
<
s
xml:id
="
echoid-s9522
"
xml:space
="
preserve
">quemadmodum, & </
s
>
<
s
xml:id
="
echoid-s9523
"
xml:space
="
preserve
">unus gradus com
<
lb
/>
plectitur min. </
s
>
<
s
xml:id
="
echoid-s9524
"
xml:space
="
preserve
">60. </
s
>
<
s
xml:id
="
echoid-s9525
"
xml:space
="
preserve
">E X E M P L V M. </
s
>
<
s
xml:id
="
echoid-s9526
"
xml:space
="
preserve
">Si hor. </
s
>
<
s
xml:id
="
echoid-s9527
"
xml:space
="
preserve
">0. </
s
>
<
s
xml:id
="
echoid-s9528
"
xml:space
="
preserve
">minu. </
s
>
<
s
xml:id
="
echoid-s9529
"
xml:space
="
preserve
">38. </
s
>
<
s
xml:id
="
echoid-s9530
"
xml:space
="
preserve
">ſec. </
s
>
<
s
xml:id
="
echoid-s9531
"
xml:space
="
preserve
">41. </
s
>
<
s
xml:id
="
echoid-s9532
"
xml:space
="
preserve
">ter. </
s
>
<
s
xml:id
="
echoid-s9533
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s9534
"
xml:space
="
preserve
">diui-
<
lb
/>
dantur per 4. </
s
>
<
s
xml:id
="
echoid-s9535
"
xml:space
="
preserve
">producentur partes 0. </
s
>
<
s
xml:id
="
echoid-s9536
"
xml:space
="
preserve
">( quatum quælibet complectatur grad.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s9537
"
xml:space
="
preserve
">60.) </
s
>
<
s
xml:id
="
echoid-s9538
"
xml:space
="
preserve
">g@ad. </
s
>
<
s
xml:id
="
echoid-s9539
"
xml:space
="
preserve
">9 {1/2}. </
s
>
<
s
xml:id
="
echoid-s9540
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s9541
"
xml:space
="
preserve
">10 {1/4}. </
s
>
<
s
xml:id
="
echoid-s9542
"
xml:space
="
preserve
">ſec. </
s
>
<
s
xml:id
="
echoid-s9543
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s9544
"
xml:space
="
preserve
">hoc eſt, part. </
s
>
<
s
xml:id
="
echoid-s9545
"
xml:space
="
preserve
">0. </
s
>
<
s
xml:id
="
echoid-s9546
"
xml:space
="
preserve
">grad. </
s
>
<
s
xml:id
="
echoid-s9547
"
xml:space
="
preserve
">9. </
s
>
<
s
xml:id
="
echoid-s9548
"
xml:space
="
preserve
">minu. </
s
>
<
s
xml:id
="
echoid-s9549
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s9550
"
xml:space
="
preserve
">ſec. </
s
>
<
s
xml:id
="
echoid-s9551
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s9552
"
xml:space
="
preserve
">Nam
<
lb
/>
grad. </
s
>
<
s
xml:id
="
echoid-s9553
"
xml:space
="
preserve
">{1/2}. </
s
>
<
s
xml:id
="
echoid-s9554
"
xml:space
="
preserve
">facit min. </
s
>
<
s
xml:id
="
echoid-s9555
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s9556
"
xml:space
="
preserve
">quæ cum min. </
s
>
<
s
xml:id
="
echoid-s9557
"
xml:space
="
preserve
">10. </
s
>
<
s
xml:id
="
echoid-s9558
"
xml:space
="
preserve
">faciunt min. </
s
>
<
s
xml:id
="
echoid-s9559
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s9560
"
xml:space
="
preserve
">Item min. </
s
>
<
s
xml:id
="
echoid-s9561
"
xml:space
="
preserve
">{1/4}. </
s
>
<
s
xml:id
="
echoid-s9562
"
xml:space
="
preserve
">facit ſec. </
s
>
<
s
xml:id
="
echoid-s9563
"
xml:space
="
preserve
">
<
lb
/>
15. </
s
>
<
s
xml:id
="
echoid-s9564
"
xml:space
="
preserve
">quæ cum ſec. </
s
>
<
s
xml:id
="
echoid-s9565
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s9566
"
xml:space
="
preserve
">faciunt ſec. </
s
>
<
s
xml:id
="
echoid-s9567
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s9568
"
xml:space
="
preserve
">Rurſus ſi hor. </
s
>
<
s
xml:id
="
echoid-s9569
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s9570
"
xml:space
="
preserve
">minu. </
s
>
<
s
xml:id
="
echoid-s9571
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s9572
"
xml:space
="
preserve
">ſec. </
s
>
<
s
xml:id
="
echoid-s9573
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s9574
"
xml:space
="
preserve
">diuidantur
<
lb
/>
per 4. </
s
>
<
s
xml:id
="
echoid-s9575
"
xml:space
="
preserve
">prouenient par. </
s
>
<
s
xml:id
="
echoid-s9576
"
xml:space
="
preserve
">{1/4}. </
s
>
<
s
xml:id
="
echoid-s9577
"
xml:space
="
preserve
">(ex illis, quarum quælibet complectitur grad. </
s
>
<
s
xml:id
="
echoid-s9578
"
xml:space
="
preserve
">60.) </
s
>
<
s
xml:id
="
echoid-s9579
"
xml:space
="
preserve
">
<
lb
/>
grad. </
s
>
<
s
xml:id
="
echoid-s9580
"
xml:space
="
preserve
">5 {1/2}. </
s
>
<
s
xml:id
="
echoid-s9581
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s9582
"
xml:space
="
preserve
">10. </
s
>
<
s
xml:id
="
echoid-s9583
"
xml:space
="
preserve
">hoc eſt, grad. </
s
>
<
s
xml:id
="
echoid-s9584
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s9585
"
xml:space
="
preserve
">minu. </
s
>
<
s
xml:id
="
echoid-s9586
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s9587
"
xml:space
="
preserve
">propterea quòd part. </
s
>
<
s
xml:id
="
echoid-s9588
"
xml:space
="
preserve
">{1/4}. </
s
>
<
s
xml:id
="
echoid-s9589
"
xml:space
="
preserve
">(ex illis,
<
lb
/>
quarum quælibet grad. </
s
>
<
s
xml:id
="
echoid-s9590
"
xml:space
="
preserve
">60. </
s
>
<
s
xml:id
="
echoid-s9591
"
xml:space
="
preserve
">continer) facir grad. </
s
>
<
s
xml:id
="
echoid-s9592
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s9593
"
xml:space
="
preserve
">quæ cum grad. </
s
>
<
s
xml:id
="
echoid-s9594
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s9595
"
xml:space
="
preserve
">faciunt gr. </
s
>
<
s
xml:id
="
echoid-s9596
"
xml:space
="
preserve
">
<
lb
/>
20. </
s
>
<
s
xml:id
="
echoid-s9597
"
xml:space
="
preserve
">Item grad. </
s
>
<
s
xml:id
="
echoid-s9598
"
xml:space
="
preserve
">{1/2}. </
s
>
<
s
xml:id
="
echoid-s9599
"
xml:space
="
preserve
">facit mi@u. </
s
>
<
s
xml:id
="
echoid-s9600
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s9601
"
xml:space
="
preserve
">quæ cum min. </
s
>
<
s
xml:id
="
echoid-s9602
"
xml:space
="
preserve
">10. </
s
>
<
s
xml:id
="
echoid-s9603
"
xml:space
="
preserve
">faciunt min. </
s
>
<
s
xml:id
="
echoid-s9604
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s9605
"
xml:space
="
preserve
">atque ita
<
lb
/>
de cæteris.</
s
>
<
s
xml:id
="
echoid-s9606
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>
