Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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dia 150. Certum eſt angulum OCK mino
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rem eſſe angulo
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S
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OT: ſi enim linea CK pro
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ducta terminaretur in T, tunc angulus SOT
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externus maior eſſet interno oppoſito OCT:
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quia verò, quod veritati magis eſt conſenta
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neum, radius ex C Solem tangens eſt CI vl
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tra T, angulus ISC maior eſt angulo T
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S
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O;
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ac proinde, cum anguli ad T & I ſint recti,
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reliquus SCI eſt reliquo SOT minor. </
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>Eſt igi
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tur ſpatium OK minus quàm min.15. Qua
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re vnus gradus complectitur plura quàm
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600 ſtadia, ideoquè totus telluris ambitus
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maior eſt ſtadijs 216000.
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XVIII
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Stadij Græ
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si quanti
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tas.
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<
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>Hìc. autem hærebam in ſtadio, ne cum
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Suida errarem; hic enim primùm Milio ſta
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dia 7 1/2 tribuit; ſed poſtmodum Milijs de
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cem, æqualia facit ſtadia 80: Cùm verò ſta
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dium pedibus 600 definierit, Milium dein
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de in pedes 4200 diſtribuit: Vnde conficitur
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Milium & 7, & 7 1/2, & 8 ſtadia comprehen
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dere. </
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<
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>Quarè acquieſcendum potius duxian
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tiquo Scholiaſti Græco in propoſ. </
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<
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>5. lib dę
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Gæod. Heronis Mechanici, qui ſtadium fuiſ
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ſe paſſuum 100, paſſum cubitorum 4, cu
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bitum verò digitorum 24 ſcribit. </
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<
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que paſſus Romanus pedibus quinque con
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ſtaret, ſinguli verò pedes palmis 4, hoc eſt
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digitis 16, paſſus
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R
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omanus digitos 80 com</
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