Vitruvius
,
De architectura libri decem
,
1567
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514.01.344
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344
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LIBER
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lineas æque diſtantes diametro uerticalis, quarum extremum alterum circinationis lineam, alterum finitoris
<
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diametrum tangat. </
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>
<
s
xml:id
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echoid-s23758
"
xml:space
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">has numeris horarum ſignabis. </
s
>
<
s
xml:id
="
echoid-s23759
"
xml:space
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">poſt hæc ex diagrammate O. </
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>
<
s
xml:id
="
echoid-s23760
"
xml:space
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">longitudines linearum ho-
<
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rariarum a cir cumferentia ad diametrum f g. </
s
>
<
s
xml:id
="
echoid-s23761
"
xml:space
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preserve
">transferes in ſequentem deſcriptionem. </
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>
<
s
xml:id
="
echoid-s23762
"
xml:space
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">Poſito circino in dia-
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metro finitoris ſupra lineam horæ reſpondentis borariæ lineæ, quam ex f. </
s
>
<
s
xml:id
="
echoid-s23763
"
xml:space
="
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">diagrammate O ſumpſiſti. </
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>
<
s
xml:id
="
echoid-s23764
"
xml:space
="
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">uerbi
<
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gratia ſi ex diagrammate O. </
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>
<
s
xml:id
="
echoid-s23765
"
xml:space
="
preserve
">ſumpſiſti longitudinem lineæ horæ undecimæ, eam in lineam horæ undecimæ trãſ.
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</
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>
<
s
xml:id
="
echoid-s23766
"
xml:space
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">feras aſigno II. </
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>
<
s
xml:id
="
echoid-s23767
"
xml:space
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">in finitoris diametro collocato, & </
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>
<
s
xml:id
="
echoid-s23768
"
xml:space
="
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">eo termino in ea linea ſignato per centrum e. </
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>
<
s
xml:id
="
echoid-s23769
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xml:space
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">& </
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<
s
xml:id
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echoid-s23770
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terminum illum lineam occultam duces ad circinationis lineam, ubi notabis II. </
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>
<
s
xml:id
="
echoid-s23771
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xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s23772
"
xml:space
="
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">idem de reliquis hora-
<
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/>
rijs lineis faciendum eſt. </
s
>
<
s
xml:id
="
echoid-s23773
"
xml:space
="
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">itaque habebis arcus horizontales, ſeu latitudines Solid, qui arcus intercipientur in-
<
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/>
ter finitorem immobilem, & </
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>
<
s
xml:id
="
echoid-s23774
"
xml:space
="
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">uerticalem mobilem, ut dixi, & </
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>
<
s
xml:id
="
echoid-s23775
"
xml:space
="
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">ſunt arcus ſubtendentes angulos ex duobus pla
<
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<
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position
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left
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xlink:label
="
note-514.01.344-01
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note-514.01.344-01a
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xml:space
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">10</
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nis factos. </
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<
s
xml:id
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echoid-s23776
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xml:space
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">quæ omnia ex diagrammate facile colliguntur. </
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>
<
s
xml:id
="
echoid-s23777
"
xml:space
="
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">Nunc ad horologium deſcribendum ueniamus .
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</
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>
<
s
xml:id
="
echoid-s23778
"
xml:space
="
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">Circulum facies æqualem meridiano analemmatis, & </
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>
<
s
xml:id
="
echoid-s23779
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xml:space
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">ſit ille a b c d. </
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>
<
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xml:id
="
echoid-s23780
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xml:space
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">ſit b c. </
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>
<
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xml:id
="
echoid-s23781
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xml:space
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">diameter pro meridiana
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linea, ſit a d. </
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>
<
s
xml:id
="
echoid-s23782
"
xml:space
="
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">pro linea planitiæ, quæ occulte ducenda est ſit centrum e. </
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>
<
s
xml:id
="
echoid-s23783
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xml:space
="
preserve
">in quo linea planitiæ meridianam
<
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/>
ſecat, ubi gnomon eſſe fingitur. </
s
>
<
s
xml:id
="
echoid-s23784
"
xml:space
="
preserve
">Sume a diagrammate præcedenti I. </
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>
<
s
xml:id
="
echoid-s23785
"
xml:space
="
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">inter uallum ſeu arcum, a ſigno Z, uer-
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<
figure
xlink:label
="
fig-514.01.344-01
"
xlink:href
="
fig-514.01.344-01a
"
number
="
142
">
<
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xml:space
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">5 4 b 3 2 7 8 9 10 f 6 5 7 1 11 6 5 7 9 4 4 8 8 N 9 x 12 1 11 2 10 3 9 4 8 5 7 3 39 9 F 6 g 2 2 10 10 o a @ d 1 11 7 6 z 1 11 8 6 7 c 1 12 10 1@ 1 2 1 1 11 11 5 11 2 2 10 21 11 b f @ 8 3 3 9 9 12 1 4 5 g 6 10 8 11 1 9 10 2 2 2 10 5 7 2 z 9 c 8 4 7 5 9
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3 10 4 8 8 4 3 7 2 10 7 5 9 3 1 11 12 8 4 11 1 10 2 0 @ d 7 5 9 3 I 8 4 7 5 6 c &</
variables
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</
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note-514.01.344-02
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note-514.01.344-02a
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">20</
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note-514.01.344-03
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note-514.01.344-03a
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">30</
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note-514.01.344-04
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note-514.01.344-04a
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ticalis ad undecimam in meridiano, & </
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>
<
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">id transferas in planum horologij a ſigno d. </
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<
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">uerſus b. </
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<
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xml:id
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echoid-s23788
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xml:space
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">ubi eſt litera
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b. </
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>
<
s
xml:id
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echoid-s23789
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">inde a centro e. </
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>
<
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xml:id
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echoid-s23790
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xml:space
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">ad b. </
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>
<
s
xml:id
="
echoid-s23791
"
xml:space
="
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">duces lineam occultam, & </
s
>
<
s
xml:id
="
echoid-s23792
"
xml:space
="
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">habebis latitudinem horæ undecimæ, atque etiam
<
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/>
primæ horæ. </
s
>
<
s
xml:id
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echoid-s23793
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xml:space
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">nam eam a puncto a. </
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>
<
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xml:id
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echoid-s23794
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xml:space
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">uerſus c. </
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>
<
s
xml:id
="
echoid-s23795
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xml:space
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">ad m. </
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<
s
xml:id
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echoid-s23796
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xml:space
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">duces. </
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>
<
s
xml:id
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echoid-s23797
"
xml:space
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">Sume deinceps a diagrammate longitudinem
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umbræ horæ undecimæ a puncto Z. </
s
>
<
s
xml:id
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echoid-s23798
"
xml:space
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">gnomonis pede, & </
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>
<
s
xml:id
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xml:space
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">eam transferas a puncto e. </
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<
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xml:id
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echoid-s23800
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xml:space
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">in lineam e b. </
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<
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xml:id
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echoid-s23801
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xml:space
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">& </
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<
s
xml:id
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echoid-s23802
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xml:space
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">e
<
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<
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="
note-514.01.344-05
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="
note-514.01.344-05a
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">50</
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m. </
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<
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xml:id
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xml:space
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">ibi erit principium boræ primæ, & </
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>
<
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xml:id
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xml:space
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">undecimæ, quando Sol est in Cancro. </
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>
<
s
xml:id
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echoid-s23805
"
xml:space
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">Sume postea arcum horizonta-
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lem, ſeu latitudinem horæ decimæ, & </
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>
<
s
xml:id
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echoid-s23806
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xml:space
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">horæ ſecundæ quæcadem eſt, & </
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>
<
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xml:id
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xml:space
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">duc occultas lineas ab e. </
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<
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xml:id
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">in n, & </
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<
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xml:id
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xml:space
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<
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o. </
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<
s
xml:id
="
echoid-s23810
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s23811
"
xml:space
="
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">habebis latitudinem horæ decimæ, & </
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>
<
s
xml:id
="
echoid-s23812
"
xml:space
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">horæ ſecundæ, nam interualla ab n. </
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>
<
s
xml:id
="
echoid-s23813
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xml:space
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">ad d. </
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>
<
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xml:id
="
echoid-s23814
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xml:space
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">& </
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<
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xml:id
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echoid-s23815
"
xml:space
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">ab a. </
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>
<
s
xml:id
="
echoid-s23816
"
xml:space
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">ad o.
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</
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>
<
s
xml:id
="
echoid-s23817
"
xml:space
="
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">ſunt æqualia: </
s
>
<
s
xml:id
="
echoid-s23818
"
xml:space
="
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">& </
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>
<
s
xml:id
="
echoid-s23819
"
xml:space
="
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">ſume earum horarum longitudinem umbræ a diagrammate O. </
s
>
<
s
xml:id
="
echoid-s23820
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s23821
"
xml:space
="
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">eam transferes in occul-
<
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tas decimæ, & </
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>
<
s
xml:id
="
echoid-s23822
"
xml:space
="
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">ſecundæ horæ lineas latitudinis a puncto e. </
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>
<
s
xml:id
="
echoid-s23823
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s23824
"
xml:space
="
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">habebis principia horæ decimæ, & </
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>
<
s
xml:id
="
echoid-s23825
"
xml:space
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">ſecundæ in
<
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/>
tropico Cancri. </
s
>
<
s
xml:id
="
echoid-s23826
"
xml:space
="
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">Similis ratio erit præfiniendis reliquis horis tam in tropico Cancri, quam in tropico Capri-
<
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corni, unde hyperboles duas oppoſitas uidebis. </
s
>
<
s
xml:id
="
echoid-s23827
"
xml:space
="
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">quod ſi lineas ab hyperbole Cancri ad hyperbolem Capri-
<
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/>
corni duxeris, ut quæque ad ſuas horas reſpondeat, deſignatum habebis horologium in plano æquedistanti
<
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/>
plano finitoris. </
s
>
<
s
xml:id
="
echoid-s23828
"
xml:space
="
preserve
">Quod ſi hyperboles ab alijs circulis factas in horologio ponere libuerit, eadem uia uti po-
<
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teris, qua Cancri, & </
s
>
<
s
xml:id
="
echoid-s23829
"
xml:space
="
preserve
">Capricorni byperboles poſuiſti. </
s
>
<
s
xml:id
="
echoid-s23830
"
xml:space
="
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">ſemper autem æquinoctialis rectam ſibi dabit, tantum
<
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/>
<
note
position
="
left
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xlink:label
="
note-514.01.344-06
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xlink:href
="
note-514.01.344-06a
"
xml:space
="
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">60</
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>
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