DelMonte, Guidubaldo
,
Mechanicorvm Liber
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hoc eſt ſpatium potentiæ ſpatii ponderis duplum. </
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<
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demonſtrandum. </
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<
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">Potentia deinde idem pondus in æquali tem
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pore per dimidium ſpatium mouebit fune circa
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orbiculum trochleæ ponderi alligatæ reuoluto,
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quàm ſine trochlea; dummodo ipſius potentiæ
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velocitates motuum ſint æquales. </
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<
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">Sit enim (iiſdem poſi
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tis) aliud pondus V æqua
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le ponderi A, cui alligatus
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ſit funis 9X; ſitq; poten
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tia in X mouens pondus
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V. </
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<
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id
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id.2.1.163.4.1.1.0.a
">dico ſi vtriuſq; poten
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tiæ motuum velocitates
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ſint æquales, in eodem
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tempore potentiam in F
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mouere pondus A per di
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midium ſpatium eius, per
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quod à potentia in X mo
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uetur pondus V; quod
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idem eſt, ac ſi eſſet idem
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pondus in æquali tempo
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re motum. </
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<
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tentia in X pondus V, po
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tentiaq; perueniat in Y;
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ſitq; XY æqualis ipſi FG;
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& fiat YZ æqualis X9, ita
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vt quando potentia in X
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erit in Y, ſit pondus V,
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hoc eſt punctum 9 in Z. </
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<
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ſed 9 Z eſt æqualis FG,
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