Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...
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              differentia eſt 3, diuide 6 per 3 differentiam exit 2, adde 1 pro re­
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              gula fit 3, diuide 3 per 3 exit 1, detrahe ex 3 relinquitur 2 minor ter­
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              minus, & ita potes inuenire quotuis. </s>
              <s id="id003279">Gratia exempli, habeo 3 & 2
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              maiores, capio 1 differentiam, per quam diuido 3 exit 3, addo 1
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              fit 4, diuido 2 minorem terminum per 4 exit 1/2, detrahe 1/2 ex
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              2, relinquuntur 1 1/2, erunt ergo 32 & 1 1/2, 1. 6. 4. 3. duplican­
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              do 2, ut prius in continua proportione muſica, quia ergo 632
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              ſunt in continua proportione muſica, & 32, & 1 1/2 ſunt in con­
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              tinua proportione muſica, erunt duplicando 3. 4. 6. 12. in con­
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              tinua proportione muſica. </s>
              <s id="id003280">Rurſus ſint propoſiti maior, & mi­
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              nor terminus, ut 6 & 2, diuides maiorem per minorem exit 3,
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              cui addes 1 fit 4, diuide 4 differentiam 6 à 2 per 4 iam inuentum
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              exiti, adde ad 2 fit 3 medius terminus, ſimiliter inter 6 & 3, uolo me­
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              dium terminum in proportione muſica, detraho 3 à 6, relinquitur
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              3, ſimiliter diuido 6 maiorem terminum per 3 minorem terminum,
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              exit 2, addo 1 pro regula fit 3, diuido 3 differentiam iam ſeruatam
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              per hoc 3 iam inuentum exit 1, addo ad 3 minorem terminum fit 4,
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              medius terminus, ſic uolo inter 4 & 6 medium terminum in con­
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              tinua proportione muſica, diuido 6 per 4: exit 1 1/2, addo ei pro re­
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              gula fit 2 1/2, diuide 2 differentiam 4 & 6 per 2 1/2 exit 4/5, adde ad 4
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              fit 4 4/5 terminus medius, duc omnes in 5, habebis integros nume­
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              ros 30, 24 & 20, & ſunt pulcherrimæ regulæ, quia poſſes diui­
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              dere 24 & 20 interponendo medium, id eſt capiendo 6 & 5, diui­
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              de 6 per 5 exit 1 1/5, adde 1 pro regula fit 2 1/5, diuide 1 differentiam
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              per 2 1/5 exit 5/11, adde ad 5 fient termini 5 5/11 & 6, reduc ad integra fi­
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              ent 55. 60. 66. & quia 30. 24. & 20, etiam erant in continua propor­
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              tione, & 30 ad 20, erat ſexquialter, ideò capiam ſexquialterum ad
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              55, & eſt 82 1/2, erunt ergo 82 1/2 66. 60. & 55. in continua proportio­
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              ne muſica, ergo duplicando 165 132 120 & 110, erunt in continua
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              proportione.</s>
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              <s id="id003281">Adnotat Stiphelius, quod cum fuerint tres termini in continua
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              proportione geometrica, & inter primum & tertium interpoſitus
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              fuerit terminus in continua proportione arithmetica, quod ibi
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              erit proportio muſica, & dat exemplum de 12. 9. 8 & 6, ſed ita eſt in­
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              telligendum, ut aſſumpta proportione arithmetica, ut potè 12 9 &
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              6, in de ut eſt 9 ad 6, ita fiat 12 ad 8, tunc iſti tres termini 128 & 6 e­
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              runt in continua proportione muſica. </s>
              <s id="id003282">Et hoc eſt pulchrum, ſi ita in­
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              telligatur, ſcilicet ex proportione Geometrica & Arithmetica con­
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              ſtituere proportionem muſicam.</s>
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