Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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Guld.
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<
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> Prouocet: per me licet. </
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<
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>Eum ta
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men monitum velim parum ex Archimede
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ſperandum, cum eam
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ille magnitudinem da
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tâ operâ ponere volue
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rit, quam nemo eo
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rum, quibuſcum di
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ſputabat, iuſto mino
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rem calumniari poſſet. </
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Quodverò ad Ariſtote
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lem ſpectat, non mul
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tum habet momen
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ti Peripatetica autho
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ritas, cui apodictica ratio aduerſatur. </
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<
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>Porrò
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longè melius eſt opticæ lineæ longitudinem
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præcognoſcere, & ex illâ terræ magnitudi
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nem inueſtigare, quàm incertis coniecturis
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telluris ambitum ſtatuere; & infirmo huic
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fundamento æquè nutantem de aſpectûs lon
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gitudine ſententiam ſuperſtruere. </
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<
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>Sit enim
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nota altitudo BA, & obſeruatus fuerit angu
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lus BAD; notus eſt angulus complementi,
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qui eſt ad C: ducta autem recta BD facit
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angulum BDA, qui eſt ſemiſſis noti anguli
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ad C, vt paulò antè dicebam. </
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<
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>Cum itaque
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in triangulo BAD datum ſit latus AB, & duo
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anguli ad A & ad D innotuerint, inueniri
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poterit quantitas lineæ opticæ AD. </
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<
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>Tum </
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