Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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199
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<
s
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xml:space
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xlink:label
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note-199-01
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note-199-01a
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<
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## Arcus ### Chordæ
<
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G # M # Par. # M # Sec.
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0 # 30 # 0 # 31 # 25
<
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10 # 0 # 10 # 27 # 32
<
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20 # 0 # 20 # 50 # 16
<
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45 # 0 # 45 # 55 # 19
<
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50 # 0 # 50 # 42 # 51
<
lb
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60 # 0 # 60 # 0 # 0
<
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66 # 30 # 65 # 47 # 43
<
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80 # 30 # 77 # 32 # 6
<
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90 # 0 # 84 # 51 # 10
<
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120 # 0 # 103 # 55 # 23
<
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170 # 0 # 119 # 32 # 37
<
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tium 120 chordas arcuum inquiramus in partibus, Mi-
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nutis, & </
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<
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xml:space
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">Secundis, vt Ptolemæus fecit, chordas arcuum
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minorum, quàm grad. </
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<
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<
s
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ac Secunda: </
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<
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xml:space
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">quam arcus, quorum ſunt chordæ: </
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<
s
xml:id
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xml:space
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">at ve-
<
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ro chordas arcuum maiorum, quàm grad 60. </
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>
<
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xml:space
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">eſſe pau-
<
lb
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ciorum Partium, Minutorum, ac Secundorum, quàm ar-
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lb
/>
cus illis reſpondentes. </
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<
s
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xml:space
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">Vt in tabula hic appoſita manife-
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ſtum eſt, quam ex Ptolemæi tabula exerceptam huc tran-
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ſtuli. </
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<
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xml:id
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xml:space
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">In qua cernis chordas arcuum minorum, quàm
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grad. </
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<
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<
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nutorum, & </
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<
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xml:space
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">ſecundorum, quàm arcus reſpondentes,
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quoad gradus, ac Minuta; </
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<
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xml:id
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xml:space
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">chordas vero arcuum ma-
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iorum, quàm grad. </
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<
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xml:space
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s
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<
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xml:space
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">eſſe minores arcubus reſponden-
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tibus, quoad eoſdem numeros. </
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<
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demonſtratio.</
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<
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<
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<
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</
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">& </
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<
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, minor, nempe grad. </
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<
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<
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">at AD, maior, puta grad. </
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<
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80. </
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<
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<
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">30. </
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<
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xml:space
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">ducanturque chordæ AB,
<
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, AD. </
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<
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xml:space
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">Dico chordam AB, maiorem eſſe,
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quàm Par. </
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<
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<
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xml:space
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">at chordam AD, minorem, quàm Partiũ
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<
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199-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/199-01
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80. </
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<
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<
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note
>
ad arcum AB, quam chordæ AC, ad chordam
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: </
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<
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<
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autem proportio arcus AC, ad arcum AB, eadem, quæ
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60. </
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<
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<
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xml:space
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">erit proportio chordæ AC, ad chordam
<
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,
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minor, quàm 60. </
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>
<
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<
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C, ſit
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Partium 60. </
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<
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">vtpote quæ ſemidiametro æqualis eſt, per
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coroll. </
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<
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<
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<
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<
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<
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, maior,
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quàm Partium 45. </
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<
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<
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xml:space
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<
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xml:space
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norem proportionem habet, quàm ad 45. </
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<
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<
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<
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<
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xlink:label
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note-199-03
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xlink:href
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note-199-03a
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xml:space
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">8. quinti.</
note
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arcus grad. </
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<
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<
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<
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<
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<
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<
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<
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arcus
<
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D, ad arcum AC, quàm chordæ AD, ad chordam AC: </
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<
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<
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<
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xlink:label
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note
>
arcus AD, ad arcum
<
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style
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>
C, eadem, quæ grad. </
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<
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xml:space
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s
>
<
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>
<
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>
<
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<
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">erit chordæ AD,
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ad chordam AC, minor proportio, quàm Par. </
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<
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<
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<
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xml:space
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>
<
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<
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xml:space
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AC, ſit Partium 60. </
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<
s
xml:id
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">erit chorda AD, minor, quàm Par. </
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>
<
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xml:id
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xml:space
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">80. </
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>
<
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">Min. </
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<
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xml:space
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">30. </
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>
<
s
xml:id
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numerus, qui minor ſit, quàm Par. </
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<
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">80. </
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>
<
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<
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<
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<
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<
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xlink:label
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xml:space
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note
>
quàm Par. </
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<
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<
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<
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<
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<
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chordã arcus grad. </
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<
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>
<
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<
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>
<
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<
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<
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<
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>
<
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</
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>
<
s
xml:id
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">ratio eſt dealij schordis minoribus, & </
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>
<
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xml:id
="
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"
xml:space
="
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">maioribus, quàm
<
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style
="
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">A</
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>
C, hoc eſt, quàm chorda ar-
<
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cus grad. </
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<
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