Vitruvius
,
De architectura libri decem
,
1567
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ditq́ per eoſdem gradus, primum tetrachordum complectens, & </
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<
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xml:space
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">iſte p rogreſſus eſt a dieſi ad dieſim, & </
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ditonum in ſuis interuallis, & </
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<
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xml:space
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">hoc loco dieſis eſt dimidium minoris hemitonij proueniens a diuiſione differentiæ
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extremorum ſuæ habitudinis, ita ut maior pars acutiorem, minor grauiorem teneat. </
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<
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xml:space
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">Dieſis Græce quoque
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tetartemoria dicitur, ideo Vitr. </
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<
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xml:space
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">dieſim quartam toni partem dixit, & </
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<
s
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xml:space
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">in hemitonio duas dieſes eſſe affirmat.
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</
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<
s
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xml:space
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">exemplum dieſeos, & </
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<
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xml:space
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">hemitonij minoris eſt hoc. </
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<
s
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xml:space
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">tredecim eſt habitudo extremorum hemitonij minoris, nam
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hemitonium minus his numeris constat 256, 243, quorum differentia ſunt tredecim, qui numerus in duas
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ſecatur partes, quarum alter a miior eſt ſeptenario concluſa, altera minor ſenario collecta, maior ad acutio-
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rem, minor ad grauiorem partem collocatur. </
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<
s
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xml:space
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">Ecceigitur quam breuia ſunt interualla harmonici tetrachordi,
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quæ uix poſſunt ratione moderari, ne dum ſenſibus comprehendi, ideo alius color, & </
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<
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">forma huius generis non
<
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habetur. </
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<
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<
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">non pro hemitonio maiori? </
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<
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">An quia tetrachordi
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commenſus est diateſſaron conſonantia, quæ duobus conſtat tonis, & </
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<
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xml:space
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">hemitonio minori. </
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<
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xml:space
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">Tetrachordum chro-
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maticum temperatur interuallis, quæ dieſin, apotomen, & </
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">ſeſquitonum, uel trihemitonium continent. </
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">habet
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enim latiorainterualla, quàm harmonia, & </
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<
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">ideo diuerſis coloribus deſignari poteſt. </
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<
s
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xml:space
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">in primo, qui molliori
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chromatico datur, ſcandimus a ſeſquiuigeſima ſeptima per ſeſquiquartam decimam ad ſeſquiquintam pro-
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portionem, & </
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<
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xml:space
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">contrario modo deſcendimus, ita tamen ut extremi tetrachordi gradus ſeſquitertiam, hoc est
<
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diateſſaron reddant, imo nec aliam queunt reddere, dum per ea interualla progredimur. </
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>
<
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">Molle autem uoca-
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tur, quoniam mutabile querulum, & </
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<
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">affectibus plenum eſt. </
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<
s
xml:id
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xml:space
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">in ſecundo colore dicti generis acutior tempera-
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tura eſt ea, quæ a ſeſquiuigeſimaprima per ſeſquiundecimam ad ſeſquiſextam progreditur, & </
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>
<
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xml:id
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">hoc quoque loco
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ſecundo huiuſmodi colore, qui ſintoni chromatici eſt proprius, diateſſaron quoque colligitur. </
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<
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xml:space
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">Vocatur autem
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color is ſintonus ſi ad mollem comparatur, minus enim mutabilis, minus querulus, minus eſt affectibus. </
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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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">hoc quoque loco eſt, quod cõſideremus quanti refert ordinationes, & </
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<
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naturis conuenientes. </
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<
s
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xml:space
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">Sequitur diatonici generis tetrachordum, hoc quia maioribus constat interuallis, multis
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modis collocari poteſt. </
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<
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">Q
<
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nque igitur eius generis colores habentur. </
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<
s
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xml:space
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">mollis, intentior, temperatus, ſintonus,
<
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diatonus, in primo, qui mollior, & </
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<
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xml:id
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xml:space
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">remiſſior eſt agrauiori parte a ſeſquiſeptima per ſeſquinonam ad ſeſquiui-
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geſimam ſcandit. </
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<
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xml:space
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">Vocaturq; </
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<
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">mollis, quoniam inter buius generis colores cæteris temperatiorem habitum re-
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fert. </
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<
s
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xml:space
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">In ſecundo uero colore, qui intenſior eſt a ſeſquiuigeſima ſeptima per ſeſquiſeptimam ad ſeſquioctauam
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tranſit. </
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<
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">uocaturq́; </
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<
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">mollis intentus; </
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<
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">quoniam medium est inter mollem, & </
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<
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">eum, de quo mox dicemus. </
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<
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">Tertius
<
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color eſt cum uox a parte grauiori primigradus ad ſecundum ſcandit, ſeſquiundecima comparatione, inde
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ad tertium effertur ſeſquidecima, & </
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<
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">tandem quarto loco ſeſquin ona conſiſtit, diateſſaron perſiciens. </
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<
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<
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72
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<
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">Harmoni cum</
description
>
<
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xml:space
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">92 1 {1/4} 1 {1/23} 1 {1/45} 69 15 8 216 345 360 368</
variables
>
</
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<
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73
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<
description
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xml:space
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">chrona molle</
description
>
<
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xml:id
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xml:space
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">70 1 {I/15} 1 {r/14} 1 {I/27} 42 18 10 210 252 270 280</
variables
>
</
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<
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number
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74
">
<
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xml:space
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">Chromat non languid.</
description
>
<
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xml:space
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">22 1 {r/6} 1 {I/11} 1 {I/21} II 7 4 66 77 84 88</
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</
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<
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number
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75
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<
description
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">Diatonic nolle</
description
>
<
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xml:space
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">21 1 {r/7} 1 {I/9} 1 {r/20} 9 8 4 63 72 80 84</
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</
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<
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76
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<
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">Molle inten tum</
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>
<
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xml:space
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">56 1 {I/8} 1 {I/7} 1 {I/27} 21 27 8 1
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68 189 216 224</
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</
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<
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number
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77
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<
description
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">Aquale</
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<
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xml:space
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">3 1 {I/9} 1 {I/10} 1 {I/11} 1 1 1 9
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10 11 12</
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</
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<
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78
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<
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<
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xml:space
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">24 1 {I/9} 1 {I/8} 1 {I/15} 8 10 6 72 80 90 96</
variables
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</
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<
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79
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<
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hem</
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<
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xml:space
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">64 {I/8} 1 {r/8} 24 27 13 192 216 243 286</
variables
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</
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<
s
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xml:space
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">uero eſt, quinon uideat, quam temperato greſſu, quàm moderata aſcenſione figura huius generis aptetur, tri-
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bus continuatis proportionibus, id eſt ſeſquiundecima, ſeſquidecima, & </
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<
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">ſeſquinona progrediens, ideo tempe-
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<
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">60</
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